Learn AP Statistics by doing it

Units

The course moved to five units this year. Several topics older review books still teach, such as the geometric distribution and inference for the slope of a regression line, are not part of the 2026-27 course, so they are not here either.

1. Unit 1 Exploring One-Variable Data and Collecting Data 20–30% of the multiple-choice section · 13 topics
2. Unit 2 Probability, Random Variables, and Probability Distributions 15–25% of the multiple-choice section · 12 topics
3. Unit 3 Inference for Categorical Data: Proportions 15–25% of the multiple-choice section · 15 topics
4. Unit 4 Inference for Quantitative Data: Means 10–20% of the multiple-choice section · 10 topics
5. Unit 5 Regression Analysis 10–20% of the multiple-choice section · 5 topics

Labs

Labs are where the ideas stop being abstract. Draw thousands of samples in a second, watch confidence intervals miss, or drag a point and see the regression line chase it.

• Topic 2.11 Normal Curve Explorer Move the mean and standard deviation, drag the cutoffs, and guess the shaded area before it is revealed.
• Topics 2.12 to 4.1 Sampling Distribution Machine Draw thousands of samples from a skewed population and watch the distribution of sample means turn normal.
• Topics 3.3 to 4.8 Confidence Interval Capture Build a hundred confidence intervals and count how many catch the true value. That count is what confidence means.
• Topics 3.5 to 3.8 Is This Coin Fair? A mystery coin might be fair or might be rigged. Flip it, run the test, decide, and find out if you made an error.
• Topics 5.1 to 5.5 Regression Playground Tap to add points, drag them around, and watch the least-squares line, r and the residual plot respond.
• Topics 5.1 to 5.2 Guess the Correlation A new scatterplot every round. Estimate r, then see how close you were. Build the instinct the exam assumes you have.
• Topics 2.3 to 2.4 Probability Simulator Flip coins and roll dice by the thousand. Watch the relative frequency settle down toward the true probability.
• Topics 2.8 to 2.10 Binomial Explorer Change n and p and watch the binomial distribution reshape. Shade exactly k, at most k or at least k.
• Topics 1.10 to 1.13 Who Can We Generalize To? What Caused It? Read a study, decide whether it used random selection, random assignment, both or neither, and claim only what the design allows.
• Topics 1.5 to 1.9 Shape, Center, Spread A new data set every round. Name its shape, spot outliers with the fences, and decide whether the mean or median is larger.