Math Made Easy’s AP Statistics lessons cover all 9 chapters, from one-variable data to regression analysis. Every AP Statistics lesson is free and aligned to the College Board AP Statistics framework. Mathbot, our blue robot coach, guides students preparing for the AP Statistics exam through worked examples first.
What the AP Statistics lessons teach
- Exploring One-Variable Data
- Collecting Data: Sampling and Experiments
- Binomial and Normal Distributions
- Inference for Proportions
- Inference for Means
Work in order: read a lesson such as Exploring One-Variable Data, solve the matching worksheet, check it against the answer key, take the chapter test, and finish with the 10-question quiz. Inference lessons teach one four-step template, parameter, procedure, conditions and conclusion, that works for proportions and means alike.
In every inference problem, state the parameter, name the procedure, check conditions and conclude in context. Domains covered by the AP Statistics lessons: exploring data, collecting data, probability, sampling distributions and statistical inference.
Chapter 1 · AP Statistics · AP Statistics Unit 1 (2026-27)
Exploring One-Variable Data: Shape, Center, Spread
Classify variables as categorical or quantitative, describe shape, center, and spread, build five-number summaries and boxplots, and apply outlier rules based on 1.5 IQR and standard deviations. You will compare two classes by their medians and spreads. After the lesson, the worksheet and answer key let you fix errors in one-variable data before you attempt the quiz and the test.
- Describing distributions
- Boxplots
- Outlier rules
Chapter 2 · AP Statistics · AP Statistics Unit 1 (2026-27)
Collecting Data: Sampling Plans and Experiments
Frame statistical questions, compare sampling methods and sources of bias, and contrast observational studies with experiments built on control, randomization, and replication. A school survey that reaches only club members shows undercoverage. Take the quiz first to see what you know about data collection, then study the lesson, finish the worksheet, and use the test scoring guide.
- Sampling methods
- Bias
- Experimental design
Chapter 3 · AP Statistics · AP Statistics Unit 2 (2026-27)
Probability Rules and Random Variables
Use two-way tables for joint, marginal, and conditional relative frequencies, simulate chance processes, and apply the addition rule and conditional probability, then move to random variables. Compute P(A | B) from a table of 200 survey responses. Lesson first, worksheet next: the answer key confirms each probability result, and the quiz and test with scoring guide close the chapter.
- Conditional probability
- Simulation
- Random variables
Chapter 4 · AP Statistics · AP Statistics Unit 2 (2026-27)
Binomial and Normal Probability Models
Recognize a binomial setting, compute binomial probabilities with their mean and standard deviation, and use normal distributions as models, including normal approximations. For 20 free throws at 70%, the mean is 14 makes. Lesson first, worksheet next: the answer key confirms each binomial and normal models result, and the quiz and test with scoring guide close the chapter.
- Binomial probability
- Normal calculations
- Normal approximation
Chapter 5 · AP Statistics · AP Statistics Unit 2 (2026-27)
Sampling Distributions of Proportions and Means
Describe the sampling distributions of a sample proportion, a sample mean, and differences of two of them, using the Central Limit Theorem and weighing bias against variability. A bigger sample of 400 voters shrinks the standard error. Read the lesson on sampling distributions, solve the worksheet and check it with the answer key, then take the quiz and the test.
- Central Limit Theorem
- Standard error
- Bias and variability
Chapter 6 · AP Statistics · AP Statistics Unit 3 (2026-27)
Inference for Proportions: Intervals and Tests
Check conditions for inference, build confidence intervals for one proportion and for a difference of two proportions, justify claims from an interval, and size a sample for a target margin of error. You will state conclusions in context. Work through the inference for proportions lesson, test yourself on the worksheet with its answer key, and finish with the quiz and the scored test.
- Confidence intervals
- Conditions
- Sample size
Chapter 7 · AP Statistics · AP Statistics Unit 3 (2026-27)
Chi-Square Tests for Two-Way Tables
Compute expected counts and the chi-square statistic in two-way tables, then run tests for homogeneity and for independence, checking conditions and writing conclusions in context. A table of grade level against lunch choice is a typical case. Mathbot suggests the lesson first, then the worksheet with answer key, and finally the quiz and test to prove your chi-square tests skills.
- Expected counts
- Chi-square statistic
- Homogeneity and independence
Chapter 8 · AP Statistics · AP Statistics Unit 4 (2026-27)
Inference for Means with t Procedures
Work with t-distributions to build confidence intervals and run t-tests for one mean, paired data, and a difference of two means, and choose the correct procedure. You will justify a claim from an interval, such as a mean battery life. Every page pairs a lesson with a worksheet and answer key, plus a quiz and a test whose scoring guide shows where inference for means points were earned.
- t-procedures
- Paired data
- Choosing a test
Chapter 9 · AP Statistics · AP Statistics Unit 5 (2026-27)
Regression Analysis: Lines, Residuals and r
Describe association in scatterplots, compute correlation, fit least-squares lines, and interpret slope, intercept, and r squared, with residual plots and influential points. Predicting a final score from hours studied shows the whole workflow. Read, solve the worksheet, grade it with the answer key; the quiz is a quick check on regression, and the test comes with a scoring guide.
- Least-squares line
- Residual plots
- Interpreting r squared
Grade 12 AP Statistics Lessons: frequently asked questions
Are the AP Statistics lessons free?
Yes. All 9 AP Statistics lessons are free to read, with no account needed. Each AP Statistics lesson points ahead to its worksheet, test and quiz.
Which standards do the AP Statistics lessons follow?
They follow the College Board AP Statistics course framework, which covers exploring data, collecting data, probability, sampling distributions and statistical inference. Chapters are sequenced the way the course units are, so each AP Statistics lesson fits inside one unit of the framework.
What should I know before starting AP Statistics?
Students should be comfortable with Algebra 1 and Algebra 2 ideas, plus basic probability and data displays. If a gap shows up, begin with the lesson on one-variable data.
How are the AP Statistics lessons organized?
The nine chapters move from describing data to collecting it, then to probability, distributions and the inference procedures. The AP Statistics chapters can be read in order or picked by topic.
What comes after AP Statistics?
After AP Statistics, students often take college statistics or a data science course. Finishing the 9 chapters on one-variable data through regression analysis leaves students ready for that step.