🕷️ Crawler Inspector

URL Lookup

Direct Parameter Lookup

Raw Queries and Responses

1. Shard Calculation

Query:

Response:

Calculated Shard: 97 (from laksa158)

2. Crawled Status Check

Query:

curl -X POST \
  'http://laksa097.int.ahrefs:8124/' \
  -H 'Content-Type: text/plain' \
  -H 'X-ClickHouse-Database: crawler3' \
  -H 'Authorization: Basic YXBpOg==' \
  -d 'SELECT getAhrefsURLFromUnparsed(src_unparsed) AS found_url, ifNull(toUnixTimestamp(download_stamp), 0) AS crawl_time, ifNull(toUnixTimestamp(props_url_first_seen), 0) AS first_indexed_time, download_http_code AS http_code, src_unparsed AS src_unparsed, src_root_hash AS src_root_hash, history_drop_reason AS history_drop_reason, meta_title AS meta_title, meta_descriptions AS meta_descriptions, attrs_boilerpipe_text AS attrs_boilerpipe_text, attrs_markdown AS attrs_markdown, attrs_readable_markdown AS attrs_readable_markdown, meta_canonical AS meta_canonical FROM crawler3.page_info_local FINAL PREWHERE (src_root_hash, src_unparsed) IN ((getAhrefsRootHashFromUnparsed(getAhrefsUnparsedNoserviceFromURL(\'https://www.coursera.org/learn/stanford-statistics\')), getAhrefsUnparsedNoserviceFromURL(\'https://www.coursera.org/learn/stanford-statistics\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/www.coursera.org\/learn\/stanford-statistics","crawl_time":1776491530,"first_indexed_time":1606797200,"http_code":200,"src_unparsed":"org,coursera!www,\/learn\/stanford-statistics s443","src_root_hash":"1995246928644532097","history_drop_reason":null,"meta_title":"Introduction to Statistics | Coursera","meta_descriptions":["Offered by Stanford University. Stanford's \"Introduction to Statistics\" teaches you statistical thinking concepts that are essential for ... Enroll for free."],"attrs_boilerpipe_text":"For\nIndividuals\nFor\nBusinesses\nFor\nUniversities\nFor\nGovernments\nDegrees\nLog In\nJoin for Free\nAbout\nModules\nRecommendations\nTestimonials\nReviews\nBrowse\nData Science\nData Analysis\nEnds soon:\nGrow your skills with Coursera Plus for $239\/year (usually $399).\nSave now\n.\nIntroduction to Statistics\nInstructor:\nGuenther Walther\n593,223\nalready enrolled\n12 modules\nGain insight into a topic and learn the fundamentals.\n4,280 reviews\nBeginner level\nRecommended experience\nFlexible schedule\n1 week at 10 hours a week\nLearn at your own pace\n96%\nMost learners liked this course\n12 modules\nGain insight into a topic and learn the fundamentals.\n4,280 reviews\nBeginner level\nRecommended experience\nFlexible schedule\n1 week at 10 hours a week\nLearn at your own pace\n96%\nMost learners liked this course\nAbout\nModules\nRecommendations\nTestimonials\nReviews\nSkills you'll gain\nData Analysis\nProbability Distribution\nExploratory Data Analysis\nRegression Analysis\nStatistical Modeling\nSampling (Statistics)\nStatistical Inference\nStatistical Methods\nProbability\nStatistical Analysis\nStatistical Hypothesis Testing\nQuantitative Research\nDescriptive Statistics\nStatistics\nDetails to know\nShareable certificate\nAdd to your LinkedIn profile\nAssessments\n13 assignments\nTaught in English\nSee how employees at top companies are mastering in-demand skills\nLearn more about Coursera for Business\nThere are 12 modules in this course\nStanford's \"Introduction to Statistics\" teaches you statistical thinking concepts that are essential for learning from data and communicating insights. By the end of the course, you will be able to perform exploratory data analysis, understand key principles of sampling, and select appropriate tests of significance for multiple contexts. You will gain the foundational skills that prepare you to pursue more advanced topics in statistical thinking and machine learning.\nInstructor\nInstructor ratings\n(\n1,426 ratings\n)\nGuenther Walther\nStanford University\n1 Course\n593,223 learners\nOffered by\nStanford University\nExplore more from Data Analysis\nStatus: Free Trial\nUniversity of Amsterdam\nBasic Statistics\nCourse\nStatus: Free Trial\nIllinois Tech\nStatistical Learning\nCourse\nStatus: Free Trial\nSAS\nIntroduction to Statistical Analysis:  Hypothesis Testing\nCourse\nStatus: Free Trial\nDuke University\nIntroduction to Probability and Data with R\nCourse\nWhy people choose Coursera for their career\nFelipe M.\nLearner since 2018\n\"To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood.\"\nJennifer J.\nLearner since 2020\n\"I directly applied the concepts and skills I learned from my courses to an exciting new project at work.\"\nLarry W.\nLearner since 2021\n\"When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go.\"\nChaitanya A.\n\"Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits.\"\nLearner reviews\n5 stars\n71.03%\n4 stars\n20.01%\n3 stars\n5.04%\n2 stars\n1.89%\n1 star\n2%\nShowing 3 of 4280\nBN\nReviewed on Feb 5, 2022\nThe course was very interesting. A lot of concepts were touched up on, but the explanation part was a little less. I can label it as a very good introductory course to Statistics.\nAB\nReviewed on May 24, 2023\nThe lectures were clear and thorough, with a good amount of examples. The quizzes were excellent, and I learned a lot from the feedback. One of the best Coursera courses I have ever taken!\nJM\nReviewed on Aug 12, 2022\nGives a great overview of every important topic in statistics. However, lots of things aren't explained thoroughly. I had to use other websites to gain a sufficient understanding of lots of material.\nView more reviews\nOpen new doors with Coursera Plus\nUnlimited access to 10,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription\nLearn more\nAdvance your career with an online degree\nEarn a degree from world-class universities - 100% online\nExplore degrees\nJoin over 3,400 global companies that choose Coursera for Business\nUpskill your employees to excel in the digital economy\nLearn more\nFrequently asked questions\nMore questions\nVisit the learner help center\nFinancial aid available,","attrs_markdown":"- [For Individuals](https:\/\/www.coursera.org\/)\n- [For Businesses](https:\/\/www.coursera.org\/business?utm_content=corp-to-home-for-enterprise&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out)\n- [For Universities](https:\/\/www.coursera.org\/campus?utm_content=corp-to-landing-for-campus&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out)\n- [For Governments](https:\/\/www.coursera.org\/government?utm_content=corp-to-landing-for-government&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out)\n\nExplore\n\n[Degrees](https:\/\/www.coursera.org\/degrees)\n\n[Log In](https:\/\/www.coursera.org\/learn\/stanford-statistics?authMode=login)\n\n[Join for Free](https:\/\/www.coursera.org\/learn\/stanford-statistics?authMode=signup)\n\nJoin for Free\n\n![Stanford University](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/http:\/\/coursera-university-assets.s3.amazonaws.com\/c8\/5fa17837ee411da8260f3ef1f479cf\/360x360-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&w=28&h=28)\n\n## Introduction to Statistics\n\n- [About](https:\/\/www.coursera.org\/learn\/stanford-statistics#about)\n- [Modules](https:\/\/www.coursera.org\/learn\/stanford-statistics#modules)\n- [Recommendations](https:\/\/www.coursera.org\/learn\/stanford-statistics#recommendations)\n- [Testimonials](https:\/\/www.coursera.org\/learn\/stanford-statistics#testimonials)\n- [Reviews](https:\/\/www.coursera.org\/learn\/stanford-statistics#reviews)\n\n1. [Browse](https:\/\/www.coursera.org\/browse)\n2. [Data Science](https:\/\/www.coursera.org\/browse\/data-science)\n3. [Data Analysis](https:\/\/www.coursera.org\/browse\/data-science\/data-analysis)\n\n**Ends soon:** Grow your skills with Coursera Plus for \\$239\/year (usually \\$399). [**Save now**](https:\/\/www.coursera.org\/courseraplus\/special\/global-spring-2026?utm_medium=coursera&utm_source=bluebanner&utm_campaign=2026MarchQ1SpringTentpole).\n\n![Stanford University](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/http:\/\/coursera-university-assets.s3.amazonaws.com\/8c\/66c948ff364973a890121704deea25\/200x48-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&h=45)\n\n# Introduction to Statistics\n![Guenther Walther](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-instructor-photos.s3.amazonaws.com\/90\/cb9b960fe34a9e933812058186598d\/Walther_2014-web.jpg?auto=format%2Ccompress&dpr=1&w=75&h=75&fit=crop)\n\nInstructor: [Guenther Walther](https:\/\/www.coursera.org\/instructor\/~33497310)\n\n**593,223** already enrolled\n\n[12 modules](https:\/\/www.coursera.org\/learn\/stanford-statistics#modules)\n\nGain insight into a topic and learn the fundamentals.\n\n4\\.6\n\n4,280 reviews\n\nBeginner level\n\nRecommended experience\n\n## Recommended experience\nBeginner level\n\n- Basic familiarity with computers and productivity software\n- No calculus required\n\nOK\n\nFlexible schedule\n\n1 week at 10 hours a week\n\nLearn at your own pace\n\n96%\n\nMost learners liked this course\n***\n\n[12 modules](https:\/\/www.coursera.org\/learn\/stanford-statistics#modules)\n\nGain insight into a topic and learn the fundamentals.\n\n4\\.6\n\n4,280 reviews\n\nBeginner level\n\nRecommended experience\n\n## Recommended experience\nBeginner level\n\n- Basic familiarity with computers and productivity software\n- No calculus required\n\nOK\n\nFlexible schedule\n\n1 week at 10 hours a week\n\nLearn at your own pace\n\n96%\n\nMost learners liked this course\n\n- [About](https:\/\/www.coursera.org\/learn\/stanford-statistics#about)\n- [Modules](https:\/\/www.coursera.org\/learn\/stanford-statistics#modules)\n- [Recommendations](https:\/\/www.coursera.org\/learn\/stanford-statistics#recommendations)\n- [Testimonials](https:\/\/www.coursera.org\/learn\/stanford-statistics#testimonials)\n- [Reviews](https:\/\/www.coursera.org\/learn\/stanford-statistics#reviews)\n\n## Skills you'll gain\n- [Data Analysis](https:\/\/www.coursera.org\/courses?query=data%20analysis)\n- [Probability Distribution](https:\/\/www.coursera.org\/courses?query=probability%20distribution)\n- [Exploratory Data Analysis](https:\/\/www.coursera.org\/courses?query=exploratory%20data%20analysis)\n- [Regression Analysis](https:\/\/www.coursera.org\/courses?query=regression%20analysis)\n- [Statistical Modeling](https:\/\/www.coursera.org\/courses?query=statistical%20modeling)\n- [Sampling (Statistics)](https:\/\/www.coursera.org\/courses?query=sampling%20\$statistics\$)\n- [Statistical Inference](https:\/\/www.coursera.org\/courses?query=statistical%20inference)\n- [Statistical Methods](https:\/\/www.coursera.org\/courses?query=statistical%20methods)\n- [Probability](https:\/\/www.coursera.org\/courses?query=probability)\n- [Statistical Analysis](https:\/\/www.coursera.org\/courses?query=statistical%20analysis)\n- [Statistical Hypothesis Testing](https:\/\/www.coursera.org\/courses?query=statistical%20hypothesis%20testing)\n- [Quantitative Research](https:\/\/www.coursera.org\/courses?query=quantitative%20research)\n- [Descriptive Statistics](https:\/\/www.coursera.org\/courses?query=descriptive%20statistics)\n- [Statistics](https:\/\/www.coursera.org\/courses?query=statistics)\n- Show all\n\n## Details to know\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/images\/31ebcba3851b87d1d8609abf15d0ff7e.png?auto=format%2Ccompress&dpr=1&w=24&h=24)\n\nShareable certificate\n\nAdd to your LinkedIn profile\n\nAssessments\n\n13 assignments\n\nTaught in English\n\n22 languages available\n\n# See how employees at top companies are mastering in-demand skills\n[Learn more about Coursera for Business](https:\/\/www.coursera.org\/business?utm_medium=coursera&utm_source=xdp&utm_campaign=website&utm_content=c4b-xdp-thin-card&utm_term=out)\n\n![ logos of Petrobras, TATA, Danone, Capgemini, P\\&G and L'Oreal ](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/images\/74c8747e8210831049cf88dd4eefe26c.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=320)\n\n## There are 12 modules in this course\nStanford's \"Introduction to Statistics\" teaches you statistical thinking concepts that are essential for learning from data and communicating insights. By the end of the course, you will be able to perform exploratory data analysis, understand key principles of sampling, and select appropriate tests of significance for multiple contexts. You will gain the foundational skills that prepare you to pursue more advanced topics in statistical thinking and machine learning.\n\nTopics include Descriptive Statistics, Sampling and Randomized Controlled Experiments, Probability, Sampling Distributions and the Central Limit Theorem, Regression, Common Tests of Significance, Resampling, Multiple Comparisons.\n\n### Introduction and Descriptive Statistics for Exploring Data\nModule 1•2 hours to complete\n\nModule details\n\nThis module provides an overview of the course and a review of the main tools used in descriptive statistics to visualize information.\n\n#### What's included\n10 videos2 readings2 assignments\n\nShow info about module content\n\n##### 10 videos•Total 30 minutes\n- Course Welcome•2 minutes\n- Meet Guenther Walther•1 minute\n- Introduction•2 minutes\n- Pie Chart, Bar Graph, and Histograms•6 minutes\n- Box-and-Whisker Plot and Scatter Plot•3 minutes\n- Providing Context is Key for Statistical Analyses•2 minutes\n- Pitfalls when Visualizing Information•2 minutes\n- Mean and Median•5 minutes\n- Percentiles, the Five Number Summary, and Standard Deviation•2 minutes\n- \\[EXTRA\\] Industry Insight: Introduction to Andrew Radin•3 minutes\n\n##### 2 readings•Total 20 minutes\n- Read First - Important Information About Your Course•10 minutes\n- Meeting You - Pre-Course Survey•10 minutes\n\n##### 2 assignments•Total 60 minutes\n- Quick Quiz About the Requirements•30 minutes\n- Introduction and Descriptive Statistics for Exploring Data•30 minutes\n\n### Producing Data and Sampling\nModule 2•1 hour to complete\n\nModule details\n\nIn this module, you will look at the main concepts for sampling and designing experiments. You will learn about curious pitfalls and how to evaluate the effectiveness of such experiments.\n\n#### What's included\n6 videos1 assignment\n\nShow info about module content\n\n##### 6 videos•Total 14 minutes\n- Introduction•3 minutes\n- Simple Random Sampling and Stratified Random Sampling•3 minutes\n- Bias and Chance Error•1 minute\n- Observation vs. Experiment, Confounding, and the Placebo Effect•4 minutes\n- The Logic of Randomized Controlled Experiments•1 minute\n- \\[EXTRA\\] Industry Insights: Filing a Patent for twoXAR•2 minutes\n\n##### 1 assignment•Total 45 minutes\n- Producing Data and Sampling•45 minutes\n\n### Probability\nModule 3•1 hour to complete\n\nModule details\n\nIn this module, you will learn about the definition of probability and the essential rules of probability that you will need for solving both simple and complex challenges. You will also learn about examples of how simple rules of probability are used to create solutions for real-life complex situations.\n\n#### What's included\n8 videos1 assignment\n\nShow info about module content\n\n##### 8 videos•Total 27 minutes\n- The Interpretation of Probability•3 minutes\n- Complement, Equally Likely Outcomes, Addition, and Multiplication•4 minutes\n- Four Rules Example: How to Deal with \"At Least One\"•2 minutes\n- Solving Problems by Total Enumeration•4 minutes\n- Bayes' Rule•3 minutes\n- Bayesian Analysis•5 minutes\n- Warner's Randomized Response Model•4 minutes\n- \\[EXTRA\\] Industry Insights: Drug Discovery at twoXAR•2 minutes\n\n##### 1 assignment•Total 45 minutes\n- Probability•45 minutes\n\n### Normal Approximation and Binomial Distribution\nModule 4•1 hour to complete\n\nModule details\n\nThis module covers the empirical rule and normal approximation for data, a technique that is used in many statistical procedures. You will also learn about the binomial distribution and the basics of random variables.\n\n#### What's included\n10 videos1 assignment\n\nShow info about module content\n\n##### 10 videos•Total 27 minutes\n- The Normal Curve•1 minute\n- The Empirical Rule•3 minutes\n- Standardizing Data and the Standard Normal Curve•2 minutes\n- Normal Approximation•4 minutes\n- Computing Percentiles with the Normal Approximation•2 minutes\n- The Binomial Setting and Binomial Coefficient•4 minutes\n- The Binomial Formula•4 minutes\n- Random Variables and Probability Histograms•2 minutes\n- Normal Approximation to the Binomial; Sampling Without Replacement•4 minutes\n- \\[EXTRA\\] Industry Insights: Opportunities in Life Sciences•1 minute\n\n##### 1 assignment•Total 45 minutes\n- The Normal Approximation for Data and the Binomial Distribution•45 minutes\n\n### Sampling Distributions and the Central Limit Theorem\nModule 5•1 hour to complete\n\nModule details\n\nIn this module, you will learn about the Law of Large Numbers and the Central Limit Theorem. You will also learn how to differentiate between the different types of histograms present in statistical analysis.\n\n#### What's included\n9 videos1 assignment\n\nShow info about module content\n\n##### 9 videos•Total 23 minutes\n- Parameter and Statistic•2 minutes\n- Expected Value and Standard Error•3 minutes\n- EV and SE of Sum, Percentages, and When Simulating•6 minutes\n- The Square Root Law•3 minutes\n- The Sampling Distribution•1 minute\n- Three Histograms•2 minutes\n- The Law of Large Numbers•1 minute\n- The Central Limit Theorem•5 minutes\n- When does the Central Limit Theorem Apply?•1 minute\n\n##### 1 assignment•Total 45 minutes\n- Sampling Distributions and the Central Limit Theorem•45 minutes\n\n### Regression\nModule 6•1 hour to complete\n\nModule details\n\nThis module covers regression, arguably the most important statistical technique based on its versatility to solve different types of statistical problems. You will learn about inference, regression, and how to do regression diagnostics.\n\n#### What's included\n10 videos1 assignment\n\nShow info about module content\n\n##### 10 videos•Total 34 minutes\n- Prediction is a Key Task of Statistics•2 minutes\n- The Correlation Coefficient•2 minutes\n- Correlation Measures Linear Association•4 minutes\n- Regression Line and the Method of Least Squares•3 minutes\n- Regression to the Mean, The Regression Fallacy•4 minutes\n- Predicting y from x and x from y•6 minutes\n- Normal Approximation Given x•3 minutes\n- Residual Plots, Heteroscedasticity, and Transformations•4 minutes\n- Outliers and Influential Points•4 minutes\n- \\[EXTRA\\] Industry Insights: Challenges to Using Data Science in Medicine•2 minutes\n\n##### 1 assignment•Total 45 minutes\n- Regression•45 minutes\n\n### Confidence Intervals\nModule 7•1 hour to complete\n\nModule details\n\nIn this module, you will learn how to construct and interpret confidence intervals in standard situations.\n\n#### What's included\n4 videos1 assignment\n\nShow info about module content\n\n##### 4 videos•Total 15 minutes\n- Interpretation of a Confidence Interval•6 minutes\n- Using the Central Limit Theorem to Find a Confidence Interval•3 minutes\n- Estimating the Standard Error with the Bootstrap Principle•3 minutes\n- More About Confidence Intervals•2 minutes\n\n##### 1 assignment•Total 45 minutes\n- Confidence Intervals•45 minutes\n\n### Tests of Significance\nModule 8•1 hour to complete\n\nModule details\n\nIn this module, you will look at the logic behind testing and learn how to perform the appropriate statistical tests for different samples and situations. You will also learn about common misunderstandings and pitfalls in testing.\n\n#### What's included\n9 videos1 assignment\n\nShow info about module content\n\n##### 9 videos•Total 34 minutes\n- The Idea Behind Testing Hypotheses•3 minutes\n- Setting Up a Test Statistic•2 minutes\n- p-values as Measures of Evidence•4 minutes\n- Distinguishing Coke and Pepsi by Taste•4 minutes\n- The t-test•5 minutes\n- Statistical Significance vs. Importance•3 minutes\n- The Two-Sample z-test•7 minutes\n- Matched Pairs•6 minutes\n- \\[EXTRA\\] Industry Insights: Hiring Data Science Talent•1 minute\n\n##### 1 assignment•Total 45 minutes\n- Tests of Significance•45 minutes\n\n### Resampling\nModule 9•1 hour to complete\n\nModule details\n\nThis module focuses on the two main methods used in computer-intensive statistical inference: The Monte Carlo method, and the Bootstrap method. You will learn about the theoretic principles behind these methods and how they are applied in different contexts, such as regression and constructing confidence intervals.\n\n#### What's included\n5 videos1 assignment\n\nShow info about module content\n\n##### 5 videos•Total 17 minutes\n- Using Computer Simulations in Place of Calculations•2 minutes\n- Using the Law of Large Numbers to Approximate Quantities of Interest•4 minutes\n- Plug-in Principle•5 minutes\n- The Parametric Bootstrap and Bootstrap Confidence Intervals•4 minutes\n- Bootstrapping in Regression•3 minutes\n\n##### 1 assignment•Total 45 minutes\n- Resampling•45 minutes\n\n### Analysis of Categorical Data\nModule 10•1 hour to complete\n\nModule details\n\nThis module focuses on the three important statistical analysis for categorical data: Chi-Square Goodness of Fit test, Chi-Square test of Homogeneity, and Chi-Square test of Independence.\n\n#### What's included\n3 videos1 assignment\n\nShow info about module content\n\n##### 3 videos•Total 14 minutes\n- Relationships Between Two Categorical Variables•2 minutes\n- The Color Proportions of M\\&Ms•5 minutes\n- The Chi-Square Test for Homogeneity and Independence•7 minutes\n\n##### 1 assignment•Total 45 minutes\n- Analysis of Categorical Data•45 minutes\n\n### One-Way Analysis of Variance (ANOVA)\nModule 11•1 hour to complete\n\nModule details\n\nThis module covers the basics of ANOVA and how F-tests work on one-way ANOVA examples.\n\n#### What's included\n5 videos1 assignment\n\nShow info about module content\n\n##### 5 videos•Total 16 minutes\n- Comparing Several Means•1 minute\n- The Idea of Analysis of Variance•4 minutes\n- Using the F Distribution to Evaluate ANOVA•6 minutes\n- More on ANOVA•2 minutes\n- \\[EXTRA\\] Industry Insights: Starting Your Career in Data Science•3 minutes\n\n##### 1 assignment•Total 45 minutes\n- One-Way Analysis of Variance•45 minutes\n\n### Multiple Comparisons\nModule 12•1 hour to complete\n\nModule details\n\nIn this module, you will learn about very important issues that have surfaced in the era of big data: data snooping and the multiple testing fallacy. You will also explore the reasons behind challenges in data reproducibility and applicability, and how to prevent such issues in your own work.\n\n#### What's included\n3 videos1 reading1 assignment\n\nShow info about module content\n\n##### 3 videos•Total 12 minutes\n- Data Snooping and the Multiple Testing Fallacy, Reproducibility and Replicability•3 minutes\n- Bonferroni Correction, False Discovery Rate, and Data Splitting•7 minutes\n- Summary•1 minute\n\n##### 1 reading•Total 10 minutes\n- Thank You and Course Evaluation•10 minutes\n\n##### 1 assignment•Total 45 minutes\n- Multiple Comparisons•45 minutes\n\n### Instructor\nInstructor ratings\n\n## Instructor ratings\nWe asked all learners to give feedback on our instructors based on the quality of their teaching style.\n\nOK\n\n4\\.5\n\n(1,426 ratings)\n\n![Guenther Walther](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-instructor-photos.s3.amazonaws.com\/90\/cb9b960fe34a9e933812058186598d\/Walther_2014-web.jpg?auto=format%2Ccompress&dpr=1&w=75&h=75&fit=crop)\n\n[Guenther Walther](https:\/\/www.coursera.org\/instructor\/~33497310)\n\nStanford University\n\n1 Course•593,223 learners\n\n### Offered by\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/http:\/\/coursera-university-assets.s3.amazonaws.com\/c8\/5fa17837ee411da8260f3ef1f479cf\/360x360-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&w=38&h=38&fit=fill)\n\n[Stanford University](https:\/\/www.coursera.org\/partners\/stanford)\n\nLearn more\n\n## Offered by\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/http:\/\/coursera-university-assets.s3.amazonaws.com\/c8\/5fa17837ee411da8260f3ef1f479cf\/360x360-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&w=88&h=88&fit=fill)\n\n[Stanford University](https:\/\/www.coursera.org\/partners\/stanford)\n\nThe Leland Stanford Junior University, commonly referred to as Stanford University or Stanford, is an American private research university located in Stanford, California on an 8,180-acre (3,310 ha) campus near Palo Alto, California, United States.\n\nOK\n\n## Explore more from Data Analysis\n- ![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-course-photos.s3.amazonaws.com\/67\/b5d580b15311e5add701767f909c1a\/Logo.png?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50)\n  \n  Status: Free Trial\n  \n  Free Trial\n  \n  U\n  \n  University of Amsterdam\n  \n  [Basic Statistics](https:\/\/www.coursera.org\/learn\/basic-statistics)\n  \n  Course\n- ![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-course-photos.s3.amazonaws.com\/6f\/5fa642e51246989d226975497a2bba\/data-sci-1.jpg?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50)\n  \n  Status: Free Trial\n  \n  Free Trial\n  \n  I\n  \n  Illinois Tech\n  \n  [Statistical Learning](https:\/\/www.coursera.org\/learn\/illinois-tech-statistical-learning)\n  \n  Course\n- ![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-course-photos.s3.amazonaws.com\/d2\/968dff22b946ae9af65f0ed03a5cff\/business-analyst.jpg?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50)\n  \n  Status: Free Trial\n  \n  Free Trial\n  \n  S\n  \n  SAS\n  \n  [Introduction to Statistical Analysis: Hypothesis Testing](https:\/\/www.coursera.org\/learn\/statistical-analysis-hypothesis-testing-sas)\n  \n  Course\n- ![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-course-photos.s3.amazonaws.com\/6f\/84dd00f4e311e5b1964b8e2cbb6cfc\/intro_to_data_and_probability.png?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50)\n  \n  Status: Free Trial\n  \n  Free Trial\n  \n  D\n  \n  Duke University\n  \n  [Introduction to Probability and Data with R](https:\/\/www.coursera.org\/learn\/probability-intro)\n  \n  Course\n\nShow 8 more\n\n## Why people choose Coursera for their career\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/growth_testimonials\/passionate_learner\/Felipe_Moitta.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop)\n\n### Felipe M.\nLearner since 2018\n\n\"To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood.\"\n\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/growth_testimonials\/passionate_learner\/Jennifer_John.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop)\n\n### Jennifer J.\nLearner since 2020\n\n\"I directly applied the concepts and skills I learned from my courses to an exciting new project at work.\"\n\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/growth_testimonials\/passionate_learner\/Larry_Tao_Wang_1.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop)\n\n### Larry W.\nLearner since 2021\n\n\"When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go.\"\n\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/growth_testimonials\/passionate_learner\/Chaitanya_Anand.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop)\n\n### Chaitanya A.\n\n\"Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits.\"\n\n## Learner reviews\n4\\.6\n\n4,280 reviews\n\n- 5 stars\n  71\\.03%\n- 4 stars\n  20\\.01%\n- 3 stars\n  5\\.04%\n- 2 stars\n  1\\.89%\n- 1 star\n  2%\n\nShowing 3 of 4280\n\nB\n\nBN\n\n4\n\n·\n\nReviewed on Feb 5, 2022\n\nThe course was very interesting. A lot of concepts were touched up on, but the explanation part was a little less. I can label it as a very good introductory course to Statistics.\n\nA\n\nAB\n\n5\n\n·\n\nReviewed on May 24, 2023\n\nThe lectures were clear and thorough, with a good amount of examples. The quizzes were excellent, and I learned a lot from the feedback. One of the best Coursera courses I have ever taken\\!\n\nJ\n\nJM\n\n4\n\n·\n\nReviewed on Aug 12, 2022\n\nGives a great overview of every important topic in statistics. However, lots of things aren't explained thoroughly. I had to use other websites to gain a sufficient understanding of lots of material.\n\n[View more reviews](https:\/\/www.coursera.org\/learn\/stanford-statistics\/reviews)\n\n![Coursera Plus](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/images\/7a1c0e2e779c1ff27cae62480adfe003.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=120)\n\n## Open new doors with Coursera Plus\nUnlimited access to 10,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription\n\n[Learn more](https:\/\/www.coursera.org\/courseraplus)\n\n## Advance your career with an online degree\nEarn a degree from world-class universities - 100% online\n\n[Explore degrees](https:\/\/www.coursera.org\/degrees)\n\n## Join over 3,400 global companies that choose Coursera for Business\nUpskill your employees to excel in the digital economy\n\n[Learn more](https:\/\/www.coursera.org\/business?utm_medium=coursera&utm_source=xdp&utm_campaign=website&utm_content=c4b-xdp-upsell-card&utm_term=out)\n\n## Frequently asked questions\n### When will I have access to the lectures and assignments?\nTo access the course materials, assignments and to earn a Certificate, you will need to purchase the Certificate experience when you enroll in a course. You can try a Free Trial instead, or apply for Financial Aid. The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.\n\n### What will I get if I purchase the Certificate?\nWhen you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.\n\n### Is financial aid available?\nYes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.\n\n### More questions\n[Visit the learner help center](https:\/\/learner.coursera.help\/hc\/)\n\nFinancial aid available, learn more\n\nCoursera Footer\n\n## Skills\n- [Accounting](https:\/\/www.coursera.org\/courses?query=accounting)\n- [Artificial Intelligence (AI)](https:\/\/www.coursera.org\/courses?query=artificial%20intelligence)\n- [Cybersecurity](https:\/\/www.coursera.org\/courses?query=cybersecurity)\n- [Data Analytics](https:\/\/www.coursera.org\/courses?query=data%20analytics)\n- [Digital Marketing](https:\/\/www.coursera.org\/courses?query=digital%20marketing)\n- [Human Resources (HR)](https:\/\/www.coursera.org\/courses?query=hr)\n- [Microsoft Excel](https:\/\/www.coursera.org\/courses?query=microsoft%20excel)\n- [Project Management](https:\/\/www.coursera.org\/courses?query=project%20management)\n- [Python](https:\/\/www.coursera.org\/courses?query=python)\n- [SQL](https:\/\/www.coursera.org\/courses?query=sql)\n\n## Professional Certificates\n- [Google AI Certificate](https:\/\/www.coursera.org\/professional-certificates\/google-ai)\n- [Google Cybersecurity Certificate](https:\/\/www.coursera.org\/professional-certificates\/google-cybersecurity)\n- [Google Data Analytics Certificate](https:\/\/www.coursera.org\/professional-certificates\/google-data-analytics)\n- [Google IT Support Certificate](https:\/\/www.coursera.org\/professional-certificates\/google-it-support)\n- [Google Project Management Certificate](https:\/\/www.coursera.org\/professional-certificates\/google-project-management)\n- [Google UX Design Certificate](https:\/\/www.coursera.org\/professional-certificates\/google-ux-design)\n- [IBM AI Engineering Certificate](https:\/\/www.coursera.org\/professional-certificates\/ai-engineer)\n- [IBM AI Product Manager Certificate](https:\/\/www.coursera.org\/professional-certificates\/ibm-ai-product-manager)\n- [IBM Data Science Certificate](https:\/\/www.coursera.org\/professional-certificates\/ibm-data-science)\n- [Intuit Academy Bookkeeping Certificate](https:\/\/www.coursera.org\/professional-certificates\/intuit-bookkeeping)\n\n## Courses & Specializations\n- [AI Essentials Specialization](https:\/\/www.coursera.org\/specializations\/ai-essentials-google)\n- [AI For Business Specialization](https:\/\/www.coursera.org\/specializations\/ai-for-business-wharton)\n- [AI For Everyone Course](https:\/\/www.coursera.org\/learn\/ai-for-everyone)\n- [AI in Healthcare Specialization](https:\/\/www.coursera.org\/specializations\/ai-healthcare)\n- [Deep Learning Specialization](https:\/\/www.coursera.org\/specializations\/deep-learning)\n- [Excel Skills for Business Specialization](https:\/\/www.coursera.org\/specializations\/excel)\n- [Financial Markets Course](https:\/\/www.coursera.org\/learn\/financial-markets-global)\n- [Machine Learning Specialization](https:\/\/www.coursera.org\/specializations\/machine-learning-introduction)\n- [Prompt Engineering for ChatGPT Course](https:\/\/www.coursera.org\/learn\/prompt-engineering)\n- [Python for Everybody Specialization](https:\/\/www.coursera.org\/specializations\/python)\n\n## Career Resources\n- [Career Aptitude Test](https:\/\/www.coursera.org\/resources\/career-quiz)\n- [CAPM Certification Requirements](https:\/\/www.coursera.org\/articles\/capm-certification-guide)\n- [CompTIA A+ Certification Requirements](https:\/\/www.coursera.org\/articles\/what-is-the-comptia-a-certification-what-to-know)\n- [CompTIA Security+ Certification Requirements](https:\/\/www.coursera.org\/articles\/what-is-the-comptia-security-plus-certification)\n- [Essential IT Certifications](https:\/\/www.coursera.org\/articles\/essential-it-certifications-entry-level-and-beginner)\n- [Free IT Certifications and Courses](https:\/\/www.coursera.org\/articles\/free-it-certifications)\n- [High-Income Skills to Learn](https:\/\/www.coursera.org\/articles\/high-income-skills)\n- [How to Learn Artificial Intelligence](https:\/\/www.coursera.org\/articles\/how-to-learn-artificial-intelligence)\n- [PMP Certification Requirements](https:\/\/www.coursera.org\/articles\/the-pmp-certification-a-guide-to-getting-started)\n- [Popular Cybersecurity Certifications](https:\/\/www.coursera.org\/articles\/popular-cybersecurity-certifications)\n\n## Coursera\n- [About](https:\/\/www.coursera.org\/about)\n- [What We Offer](https:\/\/www.coursera.org\/about\/how-coursera-works\/)\n- [Leadership](https:\/\/www.coursera.org\/about\/leadership)\n- [Careers](https:\/\/careers.coursera.com\/)\n- [Catalog](https:\/\/www.coursera.org\/browse)\n- [Coursera Plus](https:\/\/www.coursera.org\/courseraplus)\n- [Professional Certificates](https:\/\/www.coursera.org\/professional-certificates)\n- [MasterTrack® Certificates](https:\/\/www.coursera.org\/mastertrack)\n- [Degrees](https:\/\/www.coursera.org\/degrees)\n- [For Enterprise](https:\/\/www.coursera.org\/business?utm_campaign=website&utm_content=corp-to-home-footer-for-enterprise&utm_medium=coursera&utm_source=enterprise)\n- [For Government](https:\/\/www.coursera.org\/government?utm_campaign=website&utm_content=corp-to-home-footer-for-government&utm_medium=coursera&utm_source=enterprise)\n- [For Campus](https:\/\/www.coursera.org\/campus?utm_campaign=website&utm_content=corp-to-home-footer-for-campus&utm_medium=coursera&utm_source=enterprise)\n- [Become a Partner](https:\/\/partnerships.coursera.org\/?utm_medium=coursera&utm_source=partnerships&utm_campaign=website&utm_content=corp-to-home-footer-become-a-partner)\n- [Social Impact](https:\/\/www.coursera.org\/social-impact)\n- [Free Courses](https:\/\/www.coursera.org\/courses?query=free)\n- [Share your Coursera learning story](https:\/\/airtable.com\/appxSsG2Dz9CjSpF8\/pagCDDP2Uinw59CNP\/form?prefill_utm_source=product&prefill_utm_campaign=seo_footer&prefill_utm_medium=written)\n\n## Community\n- [Learners](https:\/\/www.coursera.community\/)\n- [Partners](https:\/\/www.coursera.org\/partners)\n- [Beta Testers](https:\/\/www.coursera.support\/s\/article\/360000152926-Become-a-Coursera-beta-tester)\n- [Blog](https:\/\/blog.coursera.org\/)\n- [The Coursera Podcast](https:\/\/open.spotify.com\/show\/58M36bneU7REOofdPZxe6A)\n- [Tech Blog](https:\/\/medium.com\/coursera-engineering)\n\n## More\n- [Press](https:\/\/www.coursera.org\/about\/press)\n- [Investors](https:\/\/investor.coursera.com\/)\n- [Terms](https:\/\/www.coursera.org\/about\/terms)\n- [Privacy](https:\/\/www.coursera.org\/about\/privacy)\n- [Help](https:\/\/learner.coursera.help\/hc)\n- [Accessibility](https:\/\/learner.coursera.help\/hc\/articles\/360050668591-Accessibility-Statement)\n- [Contact](https:\/\/www.coursera.org\/about\/contact)\n- [Articles](https:\/\/www.coursera.org\/articles)\n- [Directory](https:\/\/www.coursera.org\/directory)\n- [Affiliates](https:\/\/www.coursera.org\/about\/affiliates)\n- [Modern Slavery Statement](https:\/\/coursera_assets.s3.amazonaws.com\/footer\/Modern+Slavery+Statement+\$approved+March+26%2C+2025\$.pdf)\n- [Cookies Preference Center](https:\/\/www.coursera.org\/about\/cookies-manage)\n\nLearn Anywhere\n\n[![Download on the App Store](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/d3njjcbhbojbot.cloudfront.net\/web\/images\/icons\/download_on_the_app_store_badge_en.svg?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=152&h=45&w=152)](https:\/\/itunes.apple.com\/app\/apple-store\/id736535961?pt=2334150&ct=Coursera%20Web%20Promo%20Banner&mt=8)\n\n[![Get it on Google Play](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/d3njjcbhbojbot.cloudfront.net\/web\/images\/icons\/en_generic_rgb_wo_45.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=152&h=45&w=152)](http:\/\/play.google.com\/store\/apps\/details?id=org.coursera.android)\n\n![Logo of Certified B Corporation](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/d3njjcbhbojbot.cloudfront.net\/web\/images\/icons\/2018-B-Corp-Logo-Black-S.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=151&w=82&h=120)\n\n© 2026 Coursera Inc. All rights reserved.\n\n- [![Coursera Facebook](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/s3.amazonaws.com\/coursera_assets\/footer\/facebook.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https:\/\/www.facebook.com\/Coursera)\n- [![Coursera Linkedin](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/s3.amazonaws.com\/coursera_assets\/footer\/linkedin.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https:\/\/www.linkedin.com\/company\/coursera)\n- [![Coursera Twitter](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/s3.amazonaws.com\/coursera_assets\/footer\/twitter.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https:\/\/twitter.com\/coursera)\n- [![Coursera YouTube](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/s3.amazonaws.com\/coursera_assets\/footer\/youtube.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https:\/\/www.youtube.com\/user\/coursera)\n- [![Coursera Instagram](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/s3.amazonaws.com\/coursera_assets\/footer\/instagram.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https:\/\/www.instagram.com\/coursera\/)\n- [![Coursera TikTok](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/images\/9b7e964107839c77644d7e7d15035b73.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https:\/\/www.tiktok.com\/@coursera)","attrs_readable_markdown":"[For Individuals](https:\/\/www.coursera.org\/) [For Businesses](https:\/\/www.coursera.org\/business?utm_content=corp-to-home-for-enterprise&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out) [For Universities](https:\/\/www.coursera.org\/campus?utm_content=corp-to-landing-for-campus&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out) [For Governments](https:\/\/www.coursera.org\/government?utm_content=corp-to-landing-for-government&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out) [Degrees](https:\/\/www.coursera.org\/degrees) [Log In](https:\/\/www.coursera.org\/learn\/stanford-statistics?authMode=login) [Join for Free](https:\/\/www.coursera.org\/learn\/stanford-statistics?authMode=signup)\n\n![Stanford University](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/http:\/\/coursera-university-assets.s3.amazonaws.com\/c8\/5fa17837ee411da8260f3ef1f479cf\/360x360-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&w=28&h=28)\n\n- [About](https:\/\/www.coursera.org\/learn\/stanford-statistics#about)\n- [Modules](https:\/\/www.coursera.org\/learn\/stanford-statistics#modules)\n- [Recommendations](https:\/\/www.coursera.org\/learn\/stanford-statistics#recommendations)\n- [Testimonials](https:\/\/www.coursera.org\/learn\/stanford-statistics#testimonials)\n- [Reviews](https:\/\/www.coursera.org\/learn\/stanford-statistics#reviews)\n\n1. [Browse](https:\/\/www.coursera.org\/browse)\n2. [Data Science](https:\/\/www.coursera.org\/browse\/data-science)\n3. [Data Analysis](https:\/\/www.coursera.org\/browse\/data-science\/data-analysis)\n\n**Ends soon:** Grow your skills with Coursera Plus for \\$239\/year (usually \\$399). [**Save now**](https:\/\/www.coursera.org\/courseraplus\/special\/global-spring-2026?utm_medium=coursera&utm_source=bluebanner&utm_campaign=2026MarchQ1SpringTentpole).\n\n![Stanford University](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/http:\/\/coursera-university-assets.s3.amazonaws.com\/8c\/66c948ff364973a890121704deea25\/200x48-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&h=45)\n\n## Introduction to Statistics\n![Guenther Walther](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-instructor-photos.s3.amazonaws.com\/90\/cb9b960fe34a9e933812058186598d\/Walther_2014-web.jpg?auto=format%2Ccompress&dpr=1&w=75&h=75&fit=crop)\n\nInstructor: [Guenther Walther](https:\/\/www.coursera.org\/instructor\/~33497310)\n\n**593,223** already enrolled\n\n[12 modules](https:\/\/www.coursera.org\/learn\/stanford-statistics#modules)\n\nGain insight into a topic and learn the fundamentals.\n\n4,280 reviews\n\nBeginner level\n\nRecommended experience\n\nFlexible schedule\n\n1 week at 10 hours a week\n\nLearn at your own pace\n\n96%\n\nMost learners liked this course\n\n[12 modules](https:\/\/www.coursera.org\/learn\/stanford-statistics#modules)\n\nGain insight into a topic and learn the fundamentals.\n\n4,280 reviews\n\nBeginner level\n\nRecommended experience\n\nFlexible schedule\n\n1 week at 10 hours a week\n\nLearn at your own pace\n\n96%\n\nMost learners liked this course\n\n- [About](https:\/\/www.coursera.org\/learn\/stanford-statistics#about)\n- [Modules](https:\/\/www.coursera.org\/learn\/stanford-statistics#modules)\n- [Recommendations](https:\/\/www.coursera.org\/learn\/stanford-statistics#recommendations)\n- [Testimonials](https:\/\/www.coursera.org\/learn\/stanford-statistics#testimonials)\n- [Reviews](https:\/\/www.coursera.org\/learn\/stanford-statistics#reviews)\n\nSkills you'll gain\n\n- [Data Analysis](https:\/\/www.coursera.org\/courses?query=data%20analysis)\n- [Probability Distribution](https:\/\/www.coursera.org\/courses?query=probability%20distribution)\n- [Exploratory Data Analysis](https:\/\/www.coursera.org\/courses?query=exploratory%20data%20analysis)\n- [Regression Analysis](https:\/\/www.coursera.org\/courses?query=regression%20analysis)\n- [Statistical Modeling](https:\/\/www.coursera.org\/courses?query=statistical%20modeling)\n- [Sampling (Statistics)](https:\/\/www.coursera.org\/courses?query=sampling%20\$statistics\$)\n- [Statistical Inference](https:\/\/www.coursera.org\/courses?query=statistical%20inference)\n- [Statistical Methods](https:\/\/www.coursera.org\/courses?query=statistical%20methods)\n- [Probability](https:\/\/www.coursera.org\/courses?query=probability)\n- [Statistical Analysis](https:\/\/www.coursera.org\/courses?query=statistical%20analysis)\n- [Statistical Hypothesis Testing](https:\/\/www.coursera.org\/courses?query=statistical%20hypothesis%20testing)\n- [Quantitative Research](https:\/\/www.coursera.org\/courses?query=quantitative%20research)\n- [Descriptive Statistics](https:\/\/www.coursera.org\/courses?query=descriptive%20statistics)\n- [Statistics](https:\/\/www.coursera.org\/courses?query=statistics)\n\nDetails to know\n\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/images\/31ebcba3851b87d1d8609abf15d0ff7e.png?auto=format%2Ccompress&dpr=1&w=24&h=24)\n\nShareable certificate\n\nAdd to your LinkedIn profile\n\nAssessments\n\n13 assignments\n\nTaught in English\n\n## See how employees at top companies are mastering in-demand skills\n[Learn more about Coursera for Business](https:\/\/www.coursera.org\/business?utm_medium=coursera&utm_source=xdp&utm_campaign=website&utm_content=c4b-xdp-thin-card&utm_term=out)\n\n![ logos of Petrobras, TATA, Danone, Capgemini, P\\&G and L'Oreal ](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/images\/74c8747e8210831049cf88dd4eefe26c.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=320)\n\n## There are 12 modules in this course\nStanford's \"Introduction to Statistics\" teaches you statistical thinking concepts that are essential for learning from data and communicating insights. By the end of the course, you will be able to perform exploratory data analysis, understand key principles of sampling, and select appropriate tests of significance for multiple contexts. You will gain the foundational skills that prepare you to pursue more advanced topics in statistical thinking and machine learning.\n\n### Instructor\nInstructor ratings\n\n(1,426 ratings)\n\n![Guenther Walther](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-instructor-photos.s3.amazonaws.com\/90\/cb9b960fe34a9e933812058186598d\/Walther_2014-web.jpg?auto=format%2Ccompress&dpr=1&w=75&h=75&fit=crop)\n\n[Guenther Walther](https:\/\/www.coursera.org\/instructor\/~33497310)\n\nStanford University\n\n1 Course593,223 learners\n\nOffered by\n\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/http:\/\/coursera-university-assets.s3.amazonaws.com\/c8\/5fa17837ee411da8260f3ef1f479cf\/360x360-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&w=38&h=38&fit=fill)\n\n[Stanford University](https:\/\/www.coursera.org\/partners\/stanford)\n\n## Explore more from Data Analysis\n- ![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-course-photos.s3.amazonaws.com\/67\/b5d580b15311e5add701767f909c1a\/Logo.png?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50)\n  \n  Status: Free Trial\n  \n  University of Amsterdam\n  \n  [Basic Statistics](https:\/\/www.coursera.org\/learn\/basic-statistics)\n  \n  Course\n- ![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-course-photos.s3.amazonaws.com\/6f\/5fa642e51246989d226975497a2bba\/data-sci-1.jpg?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50)\n  \n  Status: Free Trial\n  \n  Illinois Tech\n  \n  [Statistical Learning](https:\/\/www.coursera.org\/learn\/illinois-tech-statistical-learning)\n  \n  Course\n- ![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-course-photos.s3.amazonaws.com\/d2\/968dff22b946ae9af65f0ed03a5cff\/business-analyst.jpg?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50)\n  \n  Status: Free Trial\n  \n  SAS\n  \n  [Introduction to Statistical Analysis: Hypothesis Testing](https:\/\/www.coursera.org\/learn\/statistical-analysis-hypothesis-testing-sas)\n  \n  Course\n- ![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera-course-photos.s3.amazonaws.com\/6f\/84dd00f4e311e5b1964b8e2cbb6cfc\/intro_to_data_and_probability.png?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50)\n  \n  Status: Free Trial\n  \n  Duke University\n  \n  [Introduction to Probability and Data with R](https:\/\/www.coursera.org\/learn\/probability-intro)\n  \n  Course\n\n## Why people choose Coursera for their career\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/growth_testimonials\/passionate_learner\/Felipe_Moitta.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop)\n\n### Felipe M.\nLearner since 2018\n\n\"To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood.\"\n\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/growth_testimonials\/passionate_learner\/Jennifer_John.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop)\n\n### Jennifer J.\nLearner since 2020\n\n\"I directly applied the concepts and skills I learned from my courses to an exciting new project at work.\"\n\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/growth_testimonials\/passionate_learner\/Larry_Tao_Wang_1.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop)\n\n### Larry W.\nLearner since 2021\n\n\"When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go.\"\n\n![](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/growth_testimonials\/passionate_learner\/Chaitanya_Anand.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop)\n\nChaitanya A.\n\n\"Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits.\"\n\nLearner reviews\n\n- 5 stars\n  71\\.03%\n- 4 stars\n  20\\.01%\n- 3 stars\n  5\\.04%\n- 2 stars\n  1\\.89%\n- 1 star\n  2%\n\nShowing 3 of 4280\n\nBN\n\nReviewed on Feb 5, 2022\n\nThe course was very interesting. A lot of concepts were touched up on, but the explanation part was a little less. I can label it as a very good introductory course to Statistics.\n\nAB\n\nReviewed on May 24, 2023\n\nThe lectures were clear and thorough, with a good amount of examples. The quizzes were excellent, and I learned a lot from the feedback. One of the best Coursera courses I have ever taken\\!\n\nJM\n\nReviewed on Aug 12, 2022\n\nGives a great overview of every important topic in statistics. However, lots of things aren't explained thoroughly. I had to use other websites to gain a sufficient understanding of lots of material.\n\n[View more reviews](https:\/\/www.coursera.org\/learn\/stanford-statistics\/reviews)\n\n![Coursera Plus](https:\/\/d3njjcbhbojbot.cloudfront.net\/api\/utilities\/v1\/imageproxy\/https:\/\/coursera_assets.s3.amazonaws.com\/images\/7a1c0e2e779c1ff27cae62480adfe003.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=120)\n\nOpen new doors with Coursera Plus\n\nUnlimited access to 10,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription\n\n[Learn more](https:\/\/www.coursera.org\/courseraplus)\n\nAdvance your career with an online degree\n\nEarn a degree from world-class universities - 100% online\n\n[Explore degrees](https:\/\/www.coursera.org\/degrees)\n\nJoin over 3,400 global companies that choose Coursera for Business\n\nUpskill your employees to excel in the digital economy\n\n[Learn more](https:\/\/www.coursera.org\/business?utm_medium=coursera&utm_source=xdp&utm_campaign=website&utm_content=c4b-xdp-upsell-card&utm_term=out)\n\nFrequently asked questions\n\n###\n###\n###\n\nMore questions\n\n[Visit the learner help center](https:\/\/learner.coursera.help\/hc\/)\n\nFinancial aid available,","meta_canonical":null}

3. Robots.txt Check

Query:

Response:

4. Spam/Ban Check

Query:

Response:

5. Seen Status Check

ℹ️ Skipped - page is already crawled

📄

INDEXABLE

✅

CRAWLED

12 hours ago

🤖

ROBOTS ALLOWED

Page Info Filters

Filter	Status	Condition	Details
HTTP status	PASS	`download_http_code = 200`	HTTP 200
Age cutoff	PASS	`download_stamp > now() - 6 MONTH`	0 months ago
History drop	PASS	`isNull(history_drop_reason)`	No drop reason
Spam/ban	PASS	`fh_dont_index != 1 AND ml_spam_score = 0`	ml_spam_score=0
Canonical	PASS	`meta_canonical IS NULL OR = '' OR = src_unparsed`	Not set

Page Details

Property	Value
URL	https://www.coursera.org/learn/stanford-statistics
Last Crawled	2026-04-18 05:52:10 (12 hours ago)
First Indexed	2020-12-01 04:33:20 (5 years ago)
HTTP Status Code	200
Meta Title	Introduction to Statistics \| Coursera
Meta Description	Offered by Stanford University. Stanford's "Introduction to Statistics" teaches you statistical thinking concepts that are essential for ... Enroll for free.
Meta Canonical	null
Boilerpipe Text	For Individuals For Businesses For Universities For Governments Degrees Log In Join for Free About Modules Recommendations Testimonials Reviews Browse Data Science Data Analysis Ends soon: Grow your skills with Coursera Plus for $239/year (usually $399). Save now . Introduction to Statistics Instructor: Guenther Walther 593,223 already enrolled 12 modules Gain insight into a topic and learn the fundamentals. 4,280 reviews Beginner level Recommended experience Flexible schedule 1 week at 10 hours a week Learn at your own pace 96% Most learners liked this course 12 modules Gain insight into a topic and learn the fundamentals. 4,280 reviews Beginner level Recommended experience Flexible schedule 1 week at 10 hours a week Learn at your own pace 96% Most learners liked this course About Modules Recommendations Testimonials Reviews Skills you'll gain Data Analysis Probability Distribution Exploratory Data Analysis Regression Analysis Statistical Modeling Sampling (Statistics) Statistical Inference Statistical Methods Probability Statistical Analysis Statistical Hypothesis Testing Quantitative Research Descriptive Statistics Statistics Details to know Shareable certificate Add to your LinkedIn profile Assessments 13 assignments Taught in English See how employees at top companies are mastering in-demand skills Learn more about Coursera for Business There are 12 modules in this course Stanford's "Introduction to Statistics" teaches you statistical thinking concepts that are essential for learning from data and communicating insights. By the end of the course, you will be able to perform exploratory data analysis, understand key principles of sampling, and select appropriate tests of significance for multiple contexts. You will gain the foundational skills that prepare you to pursue more advanced topics in statistical thinking and machine learning. Instructor Instructor ratings ( 1,426 ratings ) Guenther Walther Stanford University 1 Course 593,223 learners Offered by Stanford University Explore more from Data Analysis Status: Free Trial University of Amsterdam Basic Statistics Course Status: Free Trial Illinois Tech Statistical Learning Course Status: Free Trial SAS Introduction to Statistical Analysis: Hypothesis Testing Course Status: Free Trial Duke University Introduction to Probability and Data with R Course Why people choose Coursera for their career Felipe M. Learner since 2018 "To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood." Jennifer J. Learner since 2020 "I directly applied the concepts and skills I learned from my courses to an exciting new project at work." Larry W. Learner since 2021 "When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go." Chaitanya A. "Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits." Learner reviews 5 stars 71.03% 4 stars 20.01% 3 stars 5.04% 2 stars 1.89% 1 star 2% Showing 3 of 4280 BN Reviewed on Feb 5, 2022 The course was very interesting. A lot of concepts were touched up on, but the explanation part was a little less. I can label it as a very good introductory course to Statistics. AB Reviewed on May 24, 2023 The lectures were clear and thorough, with a good amount of examples. The quizzes were excellent, and I learned a lot from the feedback. One of the best Coursera courses I have ever taken! JM Reviewed on Aug 12, 2022 Gives a great overview of every important topic in statistics. However, lots of things aren't explained thoroughly. I had to use other websites to gain a sufficient understanding of lots of material. View more reviews Open new doors with Coursera Plus Unlimited access to 10,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription Learn more Advance your career with an online degree Earn a degree from world-class universities - 100% online Explore degrees Join over 3,400 global companies that choose Coursera for Business Upskill your employees to excel in the digital economy Learn more Frequently asked questions More questions Visit the learner help center Financial aid available,
Markdown	- [For Individuals](https://www.coursera.org/) - [For Businesses](https://www.coursera.org/business?utm_content=corp-to-home-for-enterprise&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out) - [For Universities](https://www.coursera.org/campus?utm_content=corp-to-landing-for-campus&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out) - [For Governments](https://www.coursera.org/government?utm_content=corp-to-landing-for-government&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out) Explore [Degrees](https://www.coursera.org/degrees) [Log In](https://www.coursera.org/learn/stanford-statistics?authMode=login) [Join for Free](https://www.coursera.org/learn/stanford-statistics?authMode=signup) Join for Free ![Stanford University](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/http://coursera-university-assets.s3.amazonaws.com/c8/5fa17837ee411da8260f3ef1f479cf/360x360-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&w=28&h=28) ## Introduction to Statistics - [About](https://www.coursera.org/learn/stanford-statistics#about) - [Modules](https://www.coursera.org/learn/stanford-statistics#modules) - [Recommendations](https://www.coursera.org/learn/stanford-statistics#recommendations) - [Testimonials](https://www.coursera.org/learn/stanford-statistics#testimonials) - [Reviews](https://www.coursera.org/learn/stanford-statistics#reviews) 1. [Browse](https://www.coursera.org/browse) 2. [Data Science](https://www.coursera.org/browse/data-science) 3. [Data Analysis](https://www.coursera.org/browse/data-science/data-analysis) Ends soon: Grow your skills with Coursera Plus for \$239/year (usually \$399). [Save now](https://www.coursera.org/courseraplus/special/global-spring-2026?utm_medium=coursera&utm_source=bluebanner&utm_campaign=2026MarchQ1SpringTentpole). ![Stanford University](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/http://coursera-university-assets.s3.amazonaws.com/8c/66c948ff364973a890121704deea25/200x48-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&h=45) # Introduction to Statistics ![Guenther Walther](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-instructor-photos.s3.amazonaws.com/90/cb9b960fe34a9e933812058186598d/Walther_2014-web.jpg?auto=format%2Ccompress&dpr=1&w=75&h=75&fit=crop) Instructor: [Guenther Walther](https://www.coursera.org/instructor/~33497310) 593,223 already enrolled [12 modules](https://www.coursera.org/learn/stanford-statistics#modules) Gain insight into a topic and learn the fundamentals. 4\.6 4,280 reviews Beginner level Recommended experience ## Recommended experience Beginner level - Basic familiarity with computers and productivity software - No calculus required OK Flexible schedule 1 week at 10 hours a week Learn at your own pace 96% Most learners liked this course *** [12 modules](https://www.coursera.org/learn/stanford-statistics#modules) Gain insight into a topic and learn the fundamentals. 4\.6 4,280 reviews Beginner level Recommended experience ## Recommended experience Beginner level - Basic familiarity with computers and productivity software - No calculus required OK Flexible schedule 1 week at 10 hours a week Learn at your own pace 96% Most learners liked this course - [About](https://www.coursera.org/learn/stanford-statistics#about) - [Modules](https://www.coursera.org/learn/stanford-statistics#modules) - [Recommendations](https://www.coursera.org/learn/stanford-statistics#recommendations) - [Testimonials](https://www.coursera.org/learn/stanford-statistics#testimonials) - [Reviews](https://www.coursera.org/learn/stanford-statistics#reviews) ## Skills you'll gain - [Data Analysis](https://www.coursera.org/courses?query=data%20analysis) - [Probability Distribution](https://www.coursera.org/courses?query=probability%20distribution) - [Exploratory Data Analysis](https://www.coursera.org/courses?query=exploratory%20data%20analysis) - [Regression Analysis](https://www.coursera.org/courses?query=regression%20analysis) - [Statistical Modeling](https://www.coursera.org/courses?query=statistical%20modeling) - [Sampling (Statistics)](https://www.coursera.org/courses?query=sampling%20$statistics$) - [Statistical Inference](https://www.coursera.org/courses?query=statistical%20inference) - [Statistical Methods](https://www.coursera.org/courses?query=statistical%20methods) - [Probability](https://www.coursera.org/courses?query=probability) - [Statistical Analysis](https://www.coursera.org/courses?query=statistical%20analysis) - [Statistical Hypothesis Testing](https://www.coursera.org/courses?query=statistical%20hypothesis%20testing) - [Quantitative Research](https://www.coursera.org/courses?query=quantitative%20research) - [Descriptive Statistics](https://www.coursera.org/courses?query=descriptive%20statistics) - [Statistics](https://www.coursera.org/courses?query=statistics) - Show all ## Details to know ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/images/31ebcba3851b87d1d8609abf15d0ff7e.png?auto=format%2Ccompress&dpr=1&w=24&h=24) Shareable certificate Add to your LinkedIn profile Assessments 13 assignments Taught in English 22 languages available # See how employees at top companies are mastering in-demand skills [Learn more about Coursera for Business](https://www.coursera.org/business?utm_medium=coursera&utm_source=xdp&utm_campaign=website&utm_content=c4b-xdp-thin-card&utm_term=out) ![ logos of Petrobras, TATA, Danone, Capgemini, P\&G and L'Oreal ](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/images/74c8747e8210831049cf88dd4eefe26c.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=320) ## There are 12 modules in this course Stanford's "Introduction to Statistics" teaches you statistical thinking concepts that are essential for learning from data and communicating insights. By the end of the course, you will be able to perform exploratory data analysis, understand key principles of sampling, and select appropriate tests of significance for multiple contexts. You will gain the foundational skills that prepare you to pursue more advanced topics in statistical thinking and machine learning. Topics include Descriptive Statistics, Sampling and Randomized Controlled Experiments, Probability, Sampling Distributions and the Central Limit Theorem, Regression, Common Tests of Significance, Resampling, Multiple Comparisons. ### Introduction and Descriptive Statistics for Exploring Data Module 1•2 hours to complete Module details This module provides an overview of the course and a review of the main tools used in descriptive statistics to visualize information. #### What's included 10 videos2 readings2 assignments Show info about module content ##### 10 videos•Total 30 minutes - Course Welcome•2 minutes - Meet Guenther Walther•1 minute - Introduction•2 minutes - Pie Chart, Bar Graph, and Histograms•6 minutes - Box-and-Whisker Plot and Scatter Plot•3 minutes - Providing Context is Key for Statistical Analyses•2 minutes - Pitfalls when Visualizing Information•2 minutes - Mean and Median•5 minutes - Percentiles, the Five Number Summary, and Standard Deviation•2 minutes - \[EXTRA\] Industry Insight: Introduction to Andrew Radin•3 minutes ##### 2 readings•Total 20 minutes - Read First - Important Information About Your Course•10 minutes - Meeting You - Pre-Course Survey•10 minutes ##### 2 assignments•Total 60 minutes - Quick Quiz About the Requirements•30 minutes - Introduction and Descriptive Statistics for Exploring Data•30 minutes ### Producing Data and Sampling Module 2•1 hour to complete Module details In this module, you will look at the main concepts for sampling and designing experiments. You will learn about curious pitfalls and how to evaluate the effectiveness of such experiments. #### What's included 6 videos1 assignment Show info about module content ##### 6 videos•Total 14 minutes - Introduction•3 minutes - Simple Random Sampling and Stratified Random Sampling•3 minutes - Bias and Chance Error•1 minute - Observation vs. Experiment, Confounding, and the Placebo Effect•4 minutes - The Logic of Randomized Controlled Experiments•1 minute - \[EXTRA\] Industry Insights: Filing a Patent for twoXAR•2 minutes ##### 1 assignment•Total 45 minutes - Producing Data and Sampling•45 minutes ### Probability Module 3•1 hour to complete Module details In this module, you will learn about the definition of probability and the essential rules of probability that you will need for solving both simple and complex challenges. You will also learn about examples of how simple rules of probability are used to create solutions for real-life complex situations. #### What's included 8 videos1 assignment Show info about module content ##### 8 videos•Total 27 minutes - The Interpretation of Probability•3 minutes - Complement, Equally Likely Outcomes, Addition, and Multiplication•4 minutes - Four Rules Example: How to Deal with "At Least One"•2 minutes - Solving Problems by Total Enumeration•4 minutes - Bayes' Rule•3 minutes - Bayesian Analysis•5 minutes - Warner's Randomized Response Model•4 minutes - \[EXTRA\] Industry Insights: Drug Discovery at twoXAR•2 minutes ##### 1 assignment•Total 45 minutes - Probability•45 minutes ### Normal Approximation and Binomial Distribution Module 4•1 hour to complete Module details This module covers the empirical rule and normal approximation for data, a technique that is used in many statistical procedures. You will also learn about the binomial distribution and the basics of random variables. #### What's included 10 videos1 assignment Show info about module content ##### 10 videos•Total 27 minutes - The Normal Curve•1 minute - The Empirical Rule•3 minutes - Standardizing Data and the Standard Normal Curve•2 minutes - Normal Approximation•4 minutes - Computing Percentiles with the Normal Approximation•2 minutes - The Binomial Setting and Binomial Coefficient•4 minutes - The Binomial Formula•4 minutes - Random Variables and Probability Histograms•2 minutes - Normal Approximation to the Binomial; Sampling Without Replacement•4 minutes - \[EXTRA\] Industry Insights: Opportunities in Life Sciences•1 minute ##### 1 assignment•Total 45 minutes - The Normal Approximation for Data and the Binomial Distribution•45 minutes ### Sampling Distributions and the Central Limit Theorem Module 5•1 hour to complete Module details In this module, you will learn about the Law of Large Numbers and the Central Limit Theorem. You will also learn how to differentiate between the different types of histograms present in statistical analysis. #### What's included 9 videos1 assignment Show info about module content ##### 9 videos•Total 23 minutes - Parameter and Statistic•2 minutes - Expected Value and Standard Error•3 minutes - EV and SE of Sum, Percentages, and When Simulating•6 minutes - The Square Root Law•3 minutes - The Sampling Distribution•1 minute - Three Histograms•2 minutes - The Law of Large Numbers•1 minute - The Central Limit Theorem•5 minutes - When does the Central Limit Theorem Apply?•1 minute ##### 1 assignment•Total 45 minutes - Sampling Distributions and the Central Limit Theorem•45 minutes ### Regression Module 6•1 hour to complete Module details This module covers regression, arguably the most important statistical technique based on its versatility to solve different types of statistical problems. You will learn about inference, regression, and how to do regression diagnostics. #### What's included 10 videos1 assignment Show info about module content ##### 10 videos•Total 34 minutes - Prediction is a Key Task of Statistics•2 minutes - The Correlation Coefficient•2 minutes - Correlation Measures Linear Association•4 minutes - Regression Line and the Method of Least Squares•3 minutes - Regression to the Mean, The Regression Fallacy•4 minutes - Predicting y from x and x from y•6 minutes - Normal Approximation Given x•3 minutes - Residual Plots, Heteroscedasticity, and Transformations•4 minutes - Outliers and Influential Points•4 minutes - \[EXTRA\] Industry Insights: Challenges to Using Data Science in Medicine•2 minutes ##### 1 assignment•Total 45 minutes - Regression•45 minutes ### Confidence Intervals Module 7•1 hour to complete Module details In this module, you will learn how to construct and interpret confidence intervals in standard situations. #### What's included 4 videos1 assignment Show info about module content ##### 4 videos•Total 15 minutes - Interpretation of a Confidence Interval•6 minutes - Using the Central Limit Theorem to Find a Confidence Interval•3 minutes - Estimating the Standard Error with the Bootstrap Principle•3 minutes - More About Confidence Intervals•2 minutes ##### 1 assignment•Total 45 minutes - Confidence Intervals•45 minutes ### Tests of Significance Module 8•1 hour to complete Module details In this module, you will look at the logic behind testing and learn how to perform the appropriate statistical tests for different samples and situations. You will also learn about common misunderstandings and pitfalls in testing. #### What's included 9 videos1 assignment Show info about module content ##### 9 videos•Total 34 minutes - The Idea Behind Testing Hypotheses•3 minutes - Setting Up a Test Statistic•2 minutes - p-values as Measures of Evidence•4 minutes - Distinguishing Coke and Pepsi by Taste•4 minutes - The t-test•5 minutes - Statistical Significance vs. Importance•3 minutes - The Two-Sample z-test•7 minutes - Matched Pairs•6 minutes - \[EXTRA\] Industry Insights: Hiring Data Science Talent•1 minute ##### 1 assignment•Total 45 minutes - Tests of Significance•45 minutes ### Resampling Module 9•1 hour to complete Module details This module focuses on the two main methods used in computer-intensive statistical inference: The Monte Carlo method, and the Bootstrap method. You will learn about the theoretic principles behind these methods and how they are applied in different contexts, such as regression and constructing confidence intervals. #### What's included 5 videos1 assignment Show info about module content ##### 5 videos•Total 17 minutes - Using Computer Simulations in Place of Calculations•2 minutes - Using the Law of Large Numbers to Approximate Quantities of Interest•4 minutes - Plug-in Principle•5 minutes - The Parametric Bootstrap and Bootstrap Confidence Intervals•4 minutes - Bootstrapping in Regression•3 minutes ##### 1 assignment•Total 45 minutes - Resampling•45 minutes ### Analysis of Categorical Data Module 10•1 hour to complete Module details This module focuses on the three important statistical analysis for categorical data: Chi-Square Goodness of Fit test, Chi-Square test of Homogeneity, and Chi-Square test of Independence. #### What's included 3 videos1 assignment Show info about module content ##### 3 videos•Total 14 minutes - Relationships Between Two Categorical Variables•2 minutes - The Color Proportions of M\&Ms•5 minutes - The Chi-Square Test for Homogeneity and Independence•7 minutes ##### 1 assignment•Total 45 minutes - Analysis of Categorical Data•45 minutes ### One-Way Analysis of Variance (ANOVA) Module 11•1 hour to complete Module details This module covers the basics of ANOVA and how F-tests work on one-way ANOVA examples. #### What's included 5 videos1 assignment Show info about module content ##### 5 videos•Total 16 minutes - Comparing Several Means•1 minute - The Idea of Analysis of Variance•4 minutes - Using the F Distribution to Evaluate ANOVA•6 minutes - More on ANOVA•2 minutes - \[EXTRA\] Industry Insights: Starting Your Career in Data Science•3 minutes ##### 1 assignment•Total 45 minutes - One-Way Analysis of Variance•45 minutes ### Multiple Comparisons Module 12•1 hour to complete Module details In this module, you will learn about very important issues that have surfaced in the era of big data: data snooping and the multiple testing fallacy. You will also explore the reasons behind challenges in data reproducibility and applicability, and how to prevent such issues in your own work. #### What's included 3 videos1 reading1 assignment Show info about module content ##### 3 videos•Total 12 minutes - Data Snooping and the Multiple Testing Fallacy, Reproducibility and Replicability•3 minutes - Bonferroni Correction, False Discovery Rate, and Data Splitting•7 minutes - Summary•1 minute ##### 1 reading•Total 10 minutes - Thank You and Course Evaluation•10 minutes ##### 1 assignment•Total 45 minutes - Multiple Comparisons•45 minutes ### Instructor Instructor ratings ## Instructor ratings We asked all learners to give feedback on our instructors based on the quality of their teaching style. OK 4\.5 (1,426 ratings) ![Guenther Walther](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-instructor-photos.s3.amazonaws.com/90/cb9b960fe34a9e933812058186598d/Walther_2014-web.jpg?auto=format%2Ccompress&dpr=1&w=75&h=75&fit=crop) [Guenther Walther](https://www.coursera.org/instructor/~33497310) Stanford University 1 Course•593,223 learners ### Offered by ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/http://coursera-university-assets.s3.amazonaws.com/c8/5fa17837ee411da8260f3ef1f479cf/360x360-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&w=38&h=38&fit=fill) [Stanford University](https://www.coursera.org/partners/stanford) Learn more ## Offered by ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/http://coursera-university-assets.s3.amazonaws.com/c8/5fa17837ee411da8260f3ef1f479cf/360x360-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&w=88&h=88&fit=fill) [Stanford University](https://www.coursera.org/partners/stanford) The Leland Stanford Junior University, commonly referred to as Stanford University or Stanford, is an American private research university located in Stanford, California on an 8,180-acre (3,310 ha) campus near Palo Alto, California, United States. OK ## Explore more from Data Analysis - ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-course-photos.s3.amazonaws.com/67/b5d580b15311e5add701767f909c1a/Logo.png?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50) Status: Free Trial Free Trial U University of Amsterdam [Basic Statistics](https://www.coursera.org/learn/basic-statistics) Course - ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-course-photos.s3.amazonaws.com/6f/5fa642e51246989d226975497a2bba/data-sci-1.jpg?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50) Status: Free Trial Free Trial I Illinois Tech [Statistical Learning](https://www.coursera.org/learn/illinois-tech-statistical-learning) Course - ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-course-photos.s3.amazonaws.com/d2/968dff22b946ae9af65f0ed03a5cff/business-analyst.jpg?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50) Status: Free Trial Free Trial S SAS [Introduction to Statistical Analysis: Hypothesis Testing](https://www.coursera.org/learn/statistical-analysis-hypothesis-testing-sas) Course - ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-course-photos.s3.amazonaws.com/6f/84dd00f4e311e5b1964b8e2cbb6cfc/intro_to_data_and_probability.png?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50) Status: Free Trial Free Trial D Duke University [Introduction to Probability and Data with R](https://www.coursera.org/learn/probability-intro) Course Show 8 more ## Why people choose Coursera for their career ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/growth_testimonials/passionate_learner/Felipe_Moitta.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop) ### Felipe M. Learner since 2018 "To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood." ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/growth_testimonials/passionate_learner/Jennifer_John.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop) ### Jennifer J. Learner since 2020 "I directly applied the concepts and skills I learned from my courses to an exciting new project at work." ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/growth_testimonials/passionate_learner/Larry_Tao_Wang_1.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop) ### Larry W. Learner since 2021 "When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go." ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/growth_testimonials/passionate_learner/Chaitanya_Anand.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop) ### Chaitanya A. "Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits." ## Learner reviews 4\.6 4,280 reviews - 5 stars 71\.03% - 4 stars 20\.01% - 3 stars 5\.04% - 2 stars 1\.89% - 1 star 2% Showing 3 of 4280 B BN 4 · Reviewed on Feb 5, 2022 The course was very interesting. A lot of concepts were touched up on, but the explanation part was a little less. I can label it as a very good introductory course to Statistics. A AB 5 · Reviewed on May 24, 2023 The lectures were clear and thorough, with a good amount of examples. The quizzes were excellent, and I learned a lot from the feedback. One of the best Coursera courses I have ever taken\! J JM 4 · Reviewed on Aug 12, 2022 Gives a great overview of every important topic in statistics. However, lots of things aren't explained thoroughly. I had to use other websites to gain a sufficient understanding of lots of material. [View more reviews](https://www.coursera.org/learn/stanford-statistics/reviews) ![Coursera Plus](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/images/7a1c0e2e779c1ff27cae62480adfe003.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=120) ## Open new doors with Coursera Plus Unlimited access to 10,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription [Learn more](https://www.coursera.org/courseraplus) ## Advance your career with an online degree Earn a degree from world-class universities - 100% online [Explore degrees](https://www.coursera.org/degrees) ## Join over 3,400 global companies that choose Coursera for Business Upskill your employees to excel in the digital economy [Learn more](https://www.coursera.org/business?utm_medium=coursera&utm_source=xdp&utm_campaign=website&utm_content=c4b-xdp-upsell-card&utm_term=out) ## Frequently asked questions ### When will I have access to the lectures and assignments? To access the course materials, assignments and to earn a Certificate, you will need to purchase the Certificate experience when you enroll in a course. You can try a Free Trial instead, or apply for Financial Aid. The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience. ### What will I get if I purchase the Certificate? When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. ### Is financial aid available? Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page. ### More questions [Visit the learner help center](https://learner.coursera.help/hc/) Financial aid available, learn more Coursera Footer ## Skills - [Accounting](https://www.coursera.org/courses?query=accounting) - [Artificial Intelligence (AI)](https://www.coursera.org/courses?query=artificial%20intelligence) - [Cybersecurity](https://www.coursera.org/courses?query=cybersecurity) - [Data Analytics](https://www.coursera.org/courses?query=data%20analytics) - [Digital Marketing](https://www.coursera.org/courses?query=digital%20marketing) - [Human Resources (HR)](https://www.coursera.org/courses?query=hr) - [Microsoft Excel](https://www.coursera.org/courses?query=microsoft%20excel) - [Project Management](https://www.coursera.org/courses?query=project%20management) - [Python](https://www.coursera.org/courses?query=python) - [SQL](https://www.coursera.org/courses?query=sql) ## Professional Certificates - [Google AI Certificate](https://www.coursera.org/professional-certificates/google-ai) - [Google Cybersecurity Certificate](https://www.coursera.org/professional-certificates/google-cybersecurity) - [Google Data Analytics Certificate](https://www.coursera.org/professional-certificates/google-data-analytics) - [Google IT Support Certificate](https://www.coursera.org/professional-certificates/google-it-support) - [Google Project Management Certificate](https://www.coursera.org/professional-certificates/google-project-management) - [Google UX Design Certificate](https://www.coursera.org/professional-certificates/google-ux-design) - [IBM AI Engineering Certificate](https://www.coursera.org/professional-certificates/ai-engineer) - [IBM AI Product Manager Certificate](https://www.coursera.org/professional-certificates/ibm-ai-product-manager) - [IBM Data Science Certificate](https://www.coursera.org/professional-certificates/ibm-data-science) - [Intuit Academy Bookkeeping Certificate](https://www.coursera.org/professional-certificates/intuit-bookkeeping) ## Courses & Specializations - [AI Essentials Specialization](https://www.coursera.org/specializations/ai-essentials-google) - [AI For Business Specialization](https://www.coursera.org/specializations/ai-for-business-wharton) - [AI For Everyone Course](https://www.coursera.org/learn/ai-for-everyone) - [AI in Healthcare Specialization](https://www.coursera.org/specializations/ai-healthcare) - [Deep Learning Specialization](https://www.coursera.org/specializations/deep-learning) - [Excel Skills for Business Specialization](https://www.coursera.org/specializations/excel) - [Financial Markets Course](https://www.coursera.org/learn/financial-markets-global) - [Machine Learning Specialization](https://www.coursera.org/specializations/machine-learning-introduction) - [Prompt Engineering for ChatGPT Course](https://www.coursera.org/learn/prompt-engineering) - [Python for Everybody Specialization](https://www.coursera.org/specializations/python) ## Career Resources - [Career Aptitude Test](https://www.coursera.org/resources/career-quiz) - [CAPM Certification Requirements](https://www.coursera.org/articles/capm-certification-guide) - [CompTIA A+ Certification Requirements](https://www.coursera.org/articles/what-is-the-comptia-a-certification-what-to-know) - [CompTIA Security+ Certification Requirements](https://www.coursera.org/articles/what-is-the-comptia-security-plus-certification) - [Essential IT Certifications](https://www.coursera.org/articles/essential-it-certifications-entry-level-and-beginner) - [Free IT Certifications and Courses](https://www.coursera.org/articles/free-it-certifications) - [High-Income Skills to Learn](https://www.coursera.org/articles/high-income-skills) - [How to Learn Artificial Intelligence](https://www.coursera.org/articles/how-to-learn-artificial-intelligence) - [PMP Certification Requirements](https://www.coursera.org/articles/the-pmp-certification-a-guide-to-getting-started) - [Popular Cybersecurity Certifications](https://www.coursera.org/articles/popular-cybersecurity-certifications) ## Coursera - [About](https://www.coursera.org/about) - [What We Offer](https://www.coursera.org/about/how-coursera-works/) - [Leadership](https://www.coursera.org/about/leadership) - [Careers](https://careers.coursera.com/) - [Catalog](https://www.coursera.org/browse) - [Coursera Plus](https://www.coursera.org/courseraplus) - [Professional Certificates](https://www.coursera.org/professional-certificates) - [MasterTrack® Certificates](https://www.coursera.org/mastertrack) - [Degrees](https://www.coursera.org/degrees) - [For Enterprise](https://www.coursera.org/business?utm_campaign=website&utm_content=corp-to-home-footer-for-enterprise&utm_medium=coursera&utm_source=enterprise) - [For Government](https://www.coursera.org/government?utm_campaign=website&utm_content=corp-to-home-footer-for-government&utm_medium=coursera&utm_source=enterprise) - [For Campus](https://www.coursera.org/campus?utm_campaign=website&utm_content=corp-to-home-footer-for-campus&utm_medium=coursera&utm_source=enterprise) - [Become a Partner](https://partnerships.coursera.org/?utm_medium=coursera&utm_source=partnerships&utm_campaign=website&utm_content=corp-to-home-footer-become-a-partner) - [Social Impact](https://www.coursera.org/social-impact) - [Free Courses](https://www.coursera.org/courses?query=free) - [Share your Coursera learning story](https://airtable.com/appxSsG2Dz9CjSpF8/pagCDDP2Uinw59CNP/form?prefill_utm_source=product&prefill_utm_campaign=seo_footer&prefill_utm_medium=written) ## Community - [Learners](https://www.coursera.community/) - [Partners](https://www.coursera.org/partners) - [Beta Testers](https://www.coursera.support/s/article/360000152926-Become-a-Coursera-beta-tester) - [Blog](https://blog.coursera.org/) - [The Coursera Podcast](https://open.spotify.com/show/58M36bneU7REOofdPZxe6A) - [Tech Blog](https://medium.com/coursera-engineering) ## More - [Press](https://www.coursera.org/about/press) - [Investors](https://investor.coursera.com/) - [Terms](https://www.coursera.org/about/terms) - [Privacy](https://www.coursera.org/about/privacy) - [Help](https://learner.coursera.help/hc) - [Accessibility](https://learner.coursera.help/hc/articles/360050668591-Accessibility-Statement) - [Contact](https://www.coursera.org/about/contact) - [Articles](https://www.coursera.org/articles) - [Directory](https://www.coursera.org/directory) - [Affiliates](https://www.coursera.org/about/affiliates) - [Modern Slavery Statement](https://coursera_assets.s3.amazonaws.com/footer/Modern+Slavery+Statement+$approved+March+26%2C+2025$.pdf) - [Cookies Preference Center](https://www.coursera.org/about/cookies-manage) Learn Anywhere [![Download on the App Store](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://d3njjcbhbojbot.cloudfront.net/web/images/icons/download_on_the_app_store_badge_en.svg?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=152&h=45&w=152)](https://itunes.apple.com/app/apple-store/id736535961?pt=2334150&ct=Coursera%20Web%20Promo%20Banner&mt=8) [![Get it on Google Play](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://d3njjcbhbojbot.cloudfront.net/web/images/icons/en_generic_rgb_wo_45.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=152&h=45&w=152)](http://play.google.com/store/apps/details?id=org.coursera.android) ![Logo of Certified B Corporation](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://d3njjcbhbojbot.cloudfront.net/web/images/icons/2018-B-Corp-Logo-Black-S.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=151&w=82&h=120) © 2026 Coursera Inc. All rights reserved. - [![Coursera Facebook](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://s3.amazonaws.com/coursera_assets/footer/facebook.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https://www.facebook.com/Coursera) - [![Coursera Linkedin](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://s3.amazonaws.com/coursera_assets/footer/linkedin.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https://www.linkedin.com/company/coursera) - [![Coursera Twitter](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://s3.amazonaws.com/coursera_assets/footer/twitter.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https://twitter.com/coursera) - [![Coursera YouTube](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://s3.amazonaws.com/coursera_assets/footer/youtube.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https://www.youtube.com/user/coursera) - [![Coursera Instagram](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://s3.amazonaws.com/coursera_assets/footer/instagram.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https://www.instagram.com/coursera/) - [![Coursera TikTok](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/images/9b7e964107839c77644d7e7d15035b73.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=28&h=28&w=28)](https://www.tiktok.com/@coursera)
Readable Markdown	[For Individuals](https://www.coursera.org/) [For Businesses](https://www.coursera.org/business?utm_content=corp-to-home-for-enterprise&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out) [For Universities](https://www.coursera.org/campus?utm_content=corp-to-landing-for-campus&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out) [For Governments](https://www.coursera.org/government?utm_content=corp-to-landing-for-government&utm_campaign=website&utm_medium=coursera&utm_source=header&utm_term=b-out) [Degrees](https://www.coursera.org/degrees) [Log In](https://www.coursera.org/learn/stanford-statistics?authMode=login) [Join for Free](https://www.coursera.org/learn/stanford-statistics?authMode=signup) ![Stanford University](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/http://coursera-university-assets.s3.amazonaws.com/c8/5fa17837ee411da8260f3ef1f479cf/360x360-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&w=28&h=28) - [About](https://www.coursera.org/learn/stanford-statistics#about) - [Modules](https://www.coursera.org/learn/stanford-statistics#modules) - [Recommendations](https://www.coursera.org/learn/stanford-statistics#recommendations) - [Testimonials](https://www.coursera.org/learn/stanford-statistics#testimonials) - [Reviews](https://www.coursera.org/learn/stanford-statistics#reviews) 1. [Browse](https://www.coursera.org/browse) 2. [Data Science](https://www.coursera.org/browse/data-science) 3. [Data Analysis](https://www.coursera.org/browse/data-science/data-analysis) Ends soon: Grow your skills with Coursera Plus for \$239/year (usually \$399). [Save now](https://www.coursera.org/courseraplus/special/global-spring-2026?utm_medium=coursera&utm_source=bluebanner&utm_campaign=2026MarchQ1SpringTentpole). ![Stanford University](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/http://coursera-university-assets.s3.amazonaws.com/8c/66c948ff364973a890121704deea25/200x48-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&h=45) ## Introduction to Statistics ![Guenther Walther](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-instructor-photos.s3.amazonaws.com/90/cb9b960fe34a9e933812058186598d/Walther_2014-web.jpg?auto=format%2Ccompress&dpr=1&w=75&h=75&fit=crop) Instructor: [Guenther Walther](https://www.coursera.org/instructor/~33497310) 593,223 already enrolled [12 modules](https://www.coursera.org/learn/stanford-statistics#modules) Gain insight into a topic and learn the fundamentals. 4,280 reviews Beginner level Recommended experience Flexible schedule 1 week at 10 hours a week Learn at your own pace 96% Most learners liked this course [12 modules](https://www.coursera.org/learn/stanford-statistics#modules) Gain insight into a topic and learn the fundamentals. 4,280 reviews Beginner level Recommended experience Flexible schedule 1 week at 10 hours a week Learn at your own pace 96% Most learners liked this course - [About](https://www.coursera.org/learn/stanford-statistics#about) - [Modules](https://www.coursera.org/learn/stanford-statistics#modules) - [Recommendations](https://www.coursera.org/learn/stanford-statistics#recommendations) - [Testimonials](https://www.coursera.org/learn/stanford-statistics#testimonials) - [Reviews](https://www.coursera.org/learn/stanford-statistics#reviews) Skills you'll gain - [Data Analysis](https://www.coursera.org/courses?query=data%20analysis) - [Probability Distribution](https://www.coursera.org/courses?query=probability%20distribution) - [Exploratory Data Analysis](https://www.coursera.org/courses?query=exploratory%20data%20analysis) - [Regression Analysis](https://www.coursera.org/courses?query=regression%20analysis) - [Statistical Modeling](https://www.coursera.org/courses?query=statistical%20modeling) - [Sampling (Statistics)](https://www.coursera.org/courses?query=sampling%20$statistics$) - [Statistical Inference](https://www.coursera.org/courses?query=statistical%20inference) - [Statistical Methods](https://www.coursera.org/courses?query=statistical%20methods) - [Probability](https://www.coursera.org/courses?query=probability) - [Statistical Analysis](https://www.coursera.org/courses?query=statistical%20analysis) - [Statistical Hypothesis Testing](https://www.coursera.org/courses?query=statistical%20hypothesis%20testing) - [Quantitative Research](https://www.coursera.org/courses?query=quantitative%20research) - [Descriptive Statistics](https://www.coursera.org/courses?query=descriptive%20statistics) - [Statistics](https://www.coursera.org/courses?query=statistics) Details to know ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/images/31ebcba3851b87d1d8609abf15d0ff7e.png?auto=format%2Ccompress&dpr=1&w=24&h=24) Shareable certificate Add to your LinkedIn profile Assessments 13 assignments Taught in English ## See how employees at top companies are mastering in-demand skills [Learn more about Coursera for Business](https://www.coursera.org/business?utm_medium=coursera&utm_source=xdp&utm_campaign=website&utm_content=c4b-xdp-thin-card&utm_term=out) ![ logos of Petrobras, TATA, Danone, Capgemini, P\&G and L'Oreal ](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/images/74c8747e8210831049cf88dd4eefe26c.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=320) ## There are 12 modules in this course Stanford's "Introduction to Statistics" teaches you statistical thinking concepts that are essential for learning from data and communicating insights. By the end of the course, you will be able to perform exploratory data analysis, understand key principles of sampling, and select appropriate tests of significance for multiple contexts. You will gain the foundational skills that prepare you to pursue more advanced topics in statistical thinking and machine learning. ### Instructor Instructor ratings (1,426 ratings) ![Guenther Walther](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-instructor-photos.s3.amazonaws.com/90/cb9b960fe34a9e933812058186598d/Walther_2014-web.jpg?auto=format%2Ccompress&dpr=1&w=75&h=75&fit=crop) [Guenther Walther](https://www.coursera.org/instructor/~33497310) Stanford University 1 Course593,223 learners Offered by ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/http://coursera-university-assets.s3.amazonaws.com/c8/5fa17837ee411da8260f3ef1f479cf/360x360-stanford-online-logo.png?auto=format%2Ccompress&dpr=1&w=38&h=38&fit=fill) [Stanford University](https://www.coursera.org/partners/stanford) ## Explore more from Data Analysis - ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-course-photos.s3.amazonaws.com/67/b5d580b15311e5add701767f909c1a/Logo.png?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50) Status: Free Trial University of Amsterdam [Basic Statistics](https://www.coursera.org/learn/basic-statistics) Course - ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-course-photos.s3.amazonaws.com/6f/5fa642e51246989d226975497a2bba/data-sci-1.jpg?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50) Status: Free Trial Illinois Tech [Statistical Learning](https://www.coursera.org/learn/illinois-tech-statistical-learning) Course - ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-course-photos.s3.amazonaws.com/d2/968dff22b946ae9af65f0ed03a5cff/business-analyst.jpg?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50) Status: Free Trial SAS [Introduction to Statistical Analysis: Hypothesis Testing](https://www.coursera.org/learn/statistical-analysis-hypothesis-testing-sas) Course - ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera-course-photos.s3.amazonaws.com/6f/84dd00f4e311e5b1964b8e2cbb6cfc/intro_to_data_and_probability.png?auto=format%2C%20compress%2C%20enhance&dpr=1&w=320&h=204&fit=crop&q=50) Status: Free Trial Duke University [Introduction to Probability and Data with R](https://www.coursera.org/learn/probability-intro) Course ## Why people choose Coursera for their career ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/growth_testimonials/passionate_learner/Felipe_Moitta.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop) ### Felipe M. Learner since 2018 "To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood." ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/growth_testimonials/passionate_learner/Jennifer_John.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop) ### Jennifer J. Learner since 2020 "I directly applied the concepts and skills I learned from my courses to an exciting new project at work." ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/growth_testimonials/passionate_learner/Larry_Tao_Wang_1.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop) ### Larry W. Learner since 2021 "When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go." ![](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/growth_testimonials/passionate_learner/Chaitanya_Anand.png?auto=format%2Ccompress&dpr=1&w=64&h=64&fit=crop) Chaitanya A. "Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits." Learner reviews - 5 stars 71\.03% - 4 stars 20\.01% - 3 stars 5\.04% - 2 stars 1\.89% - 1 star 2% Showing 3 of 4280 BN Reviewed on Feb 5, 2022 The course was very interesting. A lot of concepts were touched up on, but the explanation part was a little less. I can label it as a very good introductory course to Statistics. AB Reviewed on May 24, 2023 The lectures were clear and thorough, with a good amount of examples. The quizzes were excellent, and I learned a lot from the feedback. One of the best Coursera courses I have ever taken\! JM Reviewed on Aug 12, 2022 Gives a great overview of every important topic in statistics. However, lots of things aren't explained thoroughly. I had to use other websites to gain a sufficient understanding of lots of material. [View more reviews](https://www.coursera.org/learn/stanford-statistics/reviews) ![Coursera Plus](https://d3njjcbhbojbot.cloudfront.net/api/utilities/v1/imageproxy/https://coursera_assets.s3.amazonaws.com/images/7a1c0e2e779c1ff27cae62480adfe003.png?auto=format%2Ccompress&dpr=2&blur=200&px=8&max-w=120) Open new doors with Coursera Plus Unlimited access to 10,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription [Learn more](https://www.coursera.org/courseraplus) Advance your career with an online degree Earn a degree from world-class universities - 100% online [Explore degrees](https://www.coursera.org/degrees) Join over 3,400 global companies that choose Coursera for Business Upskill your employees to excel in the digital economy [Learn more](https://www.coursera.org/business?utm_medium=coursera&utm_source=xdp&utm_campaign=website&utm_content=c4b-xdp-upsell-card&utm_term=out) Frequently asked questions ### ### ### More questions [Visit the learner help center](https://learner.coursera.help/hc/) Financial aid available,
Shard	97 (laksa)
Root Hash	1995246928644532097
Unparsed URL	org,coursera!www,/learn/stanford-statistics s443