AP Statistics · Mathematics
AP Statistics: free lessons and course outline
A full year of introductory college statistics: describing data, designing studies, probability, and the inference procedures for proportions, means and regression, taught unit by unit to the College Board course framework, one lesson for each required topic (closely related topics share a lesson). Every lesson quotes the required content, works examples with the numbers checked, shows the TI-84 route next to the by-hand one, and adds figures where a picture makes an idea clear. Work through the lessons at your own pace, and book a tutor the moment a topic doesn't click. A graphing calculator is expected on the entire exam, so practice with yours from the first lesson.
AP Statistics follows the five units of the College Board course framework, in 51 lessons. The exam has 42 multiple-choice questions and 4 free-response questions, each section worth half of the score, and the free-response section always ends with an investigative task that pulls from several units at once. Each unit below shows its share of the multiple-choice section, so you can see where to spend your time: Unit 1 is the largest, and the two inference units (3 and 4) together are roughly a third.
- U1Exploring One-Variable Data and Collecting Data20–30%
- U2Probability, Random Variables, and Probability Distributions15–25%
- U3Inference for Categorical Data: Proportions15–25%
- U4Inference for Quantitative Data: Means10–20%
- U5Regression Analysis10–20%
Every lesson, unit by unit
U1 is free to read below. The other units open with a free month or a paid plan.
U1 Exploring One-Variable Data and Collecting Data 20–30% of the examFREE
- 1.1 Statistical studies: asking questions with data
- 1.2 Variables: observational units, parameters and statistics
- 1.3 One categorical variable: tables and graphs
- 1.4 Graphs for one quantitative variable
- 1.5 Describing the distribution of a quantitative variable
- 1.6 Measures of center and position
- 1.7 Variability, units, outliers and choosing a summary
- 1.8 Five-number summaries and boxplots
- 1.9 Comparing distributions and standardized scores
- 1.10 The investigative question revisited and data collection
- 1.11 Random sampling methods
- 1.12 Potential problems with sampling: bias
- 1.13 Experimental design
U2 Probability, Random Variables, and Probability Distributions 15–25% of the exam
- 2.1 Two categorical variables: tables, graphs, frequencies
- 2.2 Estimating probabilities using simulation
- 2.3 Introduction to probability and mutually exclusive events
- 2.4 Conditional probability
- 2.5 Independence and unions of events
- 2.6 Random variables and probability distributions
- 2.7 Parameters of random variables
- 2.8 The binomial distribution
- 2.9 Normal curves, the empirical rule and probabilities
- 2.10 Normal distribution: boundaries and comparing values
- 2.11 Sampling distributions and the central limit theorem
U3 Inference for Categorical Data: Proportions 15–25% of the exam
- 3.1 Estimators and the sampling distribution of a proportion
- 3.2 Confidence interval for a population proportion
- 3.3 Interpreting confidence intervals and justifying claims
- 3.4 Setting up a test for a population proportion
- 3.5 p-values
- 3.6 Carrying out a test for a population proportion
- 3.7 Potential errors when performing tests
- 3.8 Sampling distribution of a difference in two proportions
- 3.9 Confidence intervals for a difference in two proportions
- 3.10 Setting up a test for a difference in two proportions
- 3.11 Carrying out a test for a difference in two proportions
- 3.12 Setting up a chi-square test for homogeneity or independence
- 3.13 Carrying out chi-square tests for two-way tables
U4 Inference for Quantitative Data: Means 10–20% of the exam
- 4.1 Sampling distributions for sample means
- 4.2 Confidence intervals for a mean or mean difference
- 4.3 Interpreting t-intervals and justifying claims about means
- 4.4 Setting up a test for a population mean or mean difference
- 4.5 Carrying out a test for a population mean or mean difference
- 4.6 Sampling distribution of a difference in two sample means
- 4.7 Confidence intervals for a difference in two means
- 4.8 Setting up a test for a difference in two means
- 4.9 Carrying out a test for a difference in two means
U5 Regression Analysis 10–20% of the exam
- 5.1 Scatterplots: graphing two quantitative variables
- 5.2 Correlation
- 5.3 Linear regression models
- 5.4 Residuals and residual plots
- 5.5 Least-squares regression
Keep going in the full AP Statistics course
All of U1 (Exploring One-Variable Data and Collecting Data) is free to everyone, with no account. The course has 51 lessons, each with worked examples and practice problems that come with full solutions. A free account can also start a free month of the whole course, with no card.
Open this lesson in the courseSee the whole course