Statistics Course: Learn Stats

Statistics is a complete introductory statistics course on your phone: learn statistics step by step, from describing data and probability to confidence intervals, hypothesis testing and regression.
55 topics in 12 sections, 58 original drawings, 75 worked examples and 156 practice questions, all in plain language and all offline.

Each lesson explains the idea first, then the formula, then a worked example with every step shown. Practice questions with tap-to-reveal answers let you check yourself before moving on.

What you will learn

• Data and Sampling: what statistics is, types of data, sampling methods (simple random, stratified, cluster, systematic), bias in surveys and samples, experiments and observational studies
• Graphs of Data: frequency tables and bar charts, histograms, stem-and-leaf and dot plots, cumulative frequency and ogives, the shape of a distribution
• Centre and Spread: mean, median and mode, range, quartiles and IQR, box plots and outliers, variance and standard deviation, z-scores and percentiles, the empirical rule and Chebyshev
• Probability: sample spaces and events, probability rules, conditional probability and independence, Bayes’ theorem, permutations and combinations
• Discrete Distributions: random variables and expected value, the binomial, Poisson and geometric distributions
• Continuous Distributions: the normal distribution, the standard normal and the z-table, the normal approximation to the binomial
• Sampling Distributions: the sampling distribution of the mean and of a proportion, the central limit theorem
• Confidence Intervals: z-intervals for a mean, the t distribution and t-intervals, intervals for a proportion, choosing the sample size
• Hypothesis Testing: hypotheses and test logic, p-values and significance, Type I and II errors and power, one-sample z-test and t-test, test for a proportion, two-sample t-test, comparing two proportions, paired t-test
• Chi-Square and ANOVA: chi-square goodness of fit, chi-square test of independence, one-way ANOVA
• Correlation and Regression: scatterplots and correlation, the least-squares line, residuals and r²
• Formulas and Tables: a formula sheet, the standard normal table, t critical values and chi-square critical values

Features
• A full statistics course in 55 topics: descriptive statistics, probability and inferential statistics
• 58 original drawings: histograms, box plots, ogives, normal curves with shaded areas, tree and Venn diagrams, sampling distributions, confidence intervals and regression lines
• 75 worked examples with every step shown
• 156 practice questions with tap-to-reveal answers
• Statistical tables computed from the distribution functions
• Shows what calculators and statistical software compute, so you can choose the right test and read the output
• Search all statistics lessons from the home screen
• Dark mode
• Works offline, no account needed
• Available in 8 languages: English, Español, Português, Français, Deutsch, العربية, हिन्दी and Bahasa Indonesia

Who it is for
• College and university students taking an introductory statistics course, in any field: psychology, business, biology, nursing, social sciences or engineering
• High school students who want to learn statistics; useful when revising for AP Statistics
• Anyone who wants to understand the averages, margins of error and p-values in reports, studies and the news

Statistics is an independent study aid. Content is based on OpenStax Introductory Statistics (2nd edition), OpenIntro Statistics (4th edition) and the NIST/SEMATECH e-Handbook of Statistical Methods. It is not affiliated with any exam board, textbook publisher or university.

Recent changes:
Completely rewritten: a complete introductory statistics course in 55 lessons — data and sampling, graphs, centre and spread, probability, distributions, sampling distributions, confidence intervals, hypothesis tests, chi-square, ANOVA and regression — with drawings, worked examples, practice questions and z, t and chi-square tables. Now in 8 languages: English, Spanish, Portuguese, French, German, Arabic, Hindi and Indonesian.