AP Statistics: unit and topic map

The five units of the AP Statistics course that starts in fall 2026 (first exam in May 2027), with the topic numbers of College Board's Course and Exam Description (CED) so the map can be checked against it. Topic names are our own wording. Each unit page has notes, worked examples, common traps, at least 8 original multiple-choice questions per topic with 4 options each, and free-response questions worth 10 points with point-by-point scoring guides.

452 questions in all. Every data set is invented. Unit weightings are the share of the multiple-choice section, from College Board's course page.

Full practice exams

Full-length practice exams in the May 2027 exam format, made from these questions, each with its scoring guide. Practice exam 1 is free with a free account; Pro opens every one. See the practice exams

Unit 1: Exploring One-Variable Data and Collecting Data

20–30% of the multiple-choice section · 104 multiple choice, 2 free response · notes, worked examples and common traps

CED topic	Topic (our wording)	Multiple choice	In free response
1.1	What data can tell us: statistical questions and variability	8	0
1.2	Variables: categorical and quantitative	8	0
1.3	Frequency tables and relative frequencies for one categorical variable	8	0
1.4	Bar charts and pie charts for one categorical variable	8	0
1.5	Dotplots, stemplots and histograms for one quantitative variable	8	0
1.6	Describing a distribution: shape, center, variability, unusual features	8	1
1.7	Summary statistics for one quantitative variable	8	1
1.8	Boxplots, outliers and z-scores	8	1
1.9	Comparing distributions of a quantitative variable	8	1
1.10	From investigative question to data collection: observational studies and experiments	8	1
1.11	Random sampling methods	8	0
1.12	Bias in sampling	8	0
1.13	Designing experiments	8	1

Unit 2: Probability, Random Variables, and Probability Distributions

15–25% of the multiple-choice section · 96 multiple choice, 2 free response · notes, worked examples and common traps

CED topic	Topic (our wording)	Multiple choice	In free response
2.1	Two-way tables and graphs for two categorical variables	8	1
2.2	Joint, marginal and conditional relative frequencies; association	8	1
2.3	Estimating probabilities by simulation	8	0
2.4	Probability basics: sample spaces and complements	8	0
2.5	Mutually exclusive events and the addition rule	8	0
2.6	Conditional probability and tree diagrams	8	1
2.7	Independent events and unions	8	1
2.8	Discrete random variables and their probability distributions	8	0
2.9	Mean and standard deviation of a discrete random variable	8	1
2.10	Binomial distributions	8	1
2.11	Normal distributions	8	2
2.12	The idea of a sampling distribution	8	0

Unit 3: Inference for Categorical Data: Proportions

15–25% of the multiple-choice section · 120 multiple choice, 3 free response · notes, worked examples and common traps

CED topic	Topic (our wording)	Multiple choice	In free response
3.1	Estimators: bias and variability	8	0
3.2	The sampling distribution of a sample proportion	8	0
3.3	Confidence interval for one proportion	8	0
3.4	Using a confidence interval for p to judge a claim	8	0
3.5	Setting up a test for one proportion	8	1
3.6	P-values	8	1
3.7	Carrying out a test for one proportion	8	1
3.8	Errors and power	8	1
3.9	The sampling distribution of a difference in sample proportions	8	0
3.10	Confidence interval for a difference in proportions	8	1
3.11	Using an interval for p1 - p2 to judge a claim	8	1
3.12	Setting up a test for a difference in proportions	8	1
3.13	Carrying out a test for a difference in proportions	8	0
3.14	Setting up a chi-square test for homogeneity or independence	8	1
3.15	Carrying out a chi-square test for homogeneity or independence	8	1

Unit 4: Inference for Quantitative Data: Means

10–20% of the multiple-choice section · 80 multiple choice, 3 free response · notes, worked examples and common traps

CED topic	Topic (our wording)	Multiple choice	In free response
4.1	The sampling distribution of a sample mean	8	1
4.2	Confidence interval for a population mean or a population mean difference (paired data)	8	1
4.3	Using an interval for a population mean or mean difference to justify a claim	8	1
4.4	Setting up a test for a population mean or a population mean difference	8	1
4.5	Carrying out a test for a population mean or a population mean difference	8	0
4.6	The sampling distribution of a difference between two sample means	8	0
4.7	Confidence interval for the difference between two population means	8	0
4.8	Using an interval for mu1 - mu2 to justify a claim	8	0
4.9	Setting up a test for the difference between two population means	8	1
4.10	Carrying out a test for the difference between two population means	8	1

Unit 5: Regression Analysis

10–20% of the multiple-choice section · 40 multiple choice, 2 free response · notes, worked examples and common traps

CED topic	Topic (our wording)	Multiple choice	In free response
5.1	Scatterplots	8	1
5.2	Correlation	8	1
5.3	Linear regression models	8	1
5.4	Residuals and residual plots	8	2
5.5	Least-squares regression	8	2