Statistics and probability
- Free
- No certificate
Khan Academy's Statistics and probability course is organized into 16 units. It opens with categorical data and ways of displaying, comparing and summarizing quantitative data, then moves through modeling distributions, bivariate data and study design. The middle of the course covers probability, counting, random variables and sampling distributions. The final units are about inference: confidence intervals, significance tests, two-sample inference, chi-square tests, regression inference and analysis of variance.
Most units are a run of short lessons with practice, quizzes partway through and a unit test at the end, and a course challenge covers the whole course; the page notes that the exercises in the two-sample inference and advanced regression units do not count toward course mastery and that the ANOVA unit has no exercises. The page lists 152 skills, and the site tracks your level on each one from Not started up to Mastered. Everything is free: Khan Academy is a nonprofit, the course has no paid tier and no certificate or diploma is issued. No duration is stated; you work at your own pace and can jump straight to the units you need.
What you’ll learn
- Read, display and summarize categorical and quantitative data, including measures of center and spread
- Model data with distributions and explore bivariate numerical data
- Apply probability rules, counting methods and random variables
- Use sampling distributions to build confidence intervals and run significance tests
- Compare two groups, run chi-square tests and interpret regression inference and ANOVA
Who it’s for
Anyone who needs a full grounding in descriptive and inferential statistics, from high-school students to adults brushing up before a data or research course. It does not issue a certificate.
Syllabus
16 sections as listed on khanacademy.org.
- Analyzing categorical data
- Displaying and comparing quantitative data
- Summarizing quantitative data
- Modeling data distributions
- Exploring bivariate numerical data
- Study design
- Probability
- Counting, permutations, and combinations
- Random variables
- Sampling distributions
- Confidence intervals
- Significance tests (hypothesis testing)
- Two-sample inference for the difference between groups
- Inference for categorical data (chi-square tests)
- Advanced regression (inference and transforming)
- Analysis of variance (ANOVA)
Course details
- Includes
- 16 units
Source: Khan Academy (opens in a new tab) · Verified · Report a change
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