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Grade 12 AP Statistics Worksheets with Answer Keys

AP Statistics Math Worksheets – Mathbot, the Math Made Easy robot coach, with free printable worksheets for AP Statistics

The AP Statistics worksheets give students preparing for the AP Statistics exam at least 20 problems for each of 9 chapters, from one-variable data to regression analysis. Each AP Statistics worksheet has its own answer key on a separate page and follows the College Board AP Statistics framework.

Worksheets ask for written interpretations after every calculation, because the free-response section scores context and communication.

Sample worksheet topics

  • Collecting Data: Sampling and Experiments
  • Probability and Random Variables
  • Sampling Distributions
  • Chi-Square Tests for Homogeneity and Independence
  • Regression Analysis

Open the lesson first if a topic feels shaky, then work the worksheet without the key, and only then open the answer page. Students often write that they accept the null hypothesis, when the correct wording is that they fail to reject it.

After an AP Statistics worksheet, the chapter test and quiz show whether the skill has stuck. Domains in the AP Statistics worksheet set: 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 Worksheets with Answer Keys: frequently asked questions

Do the AP Statistics worksheets include answer keys?

Yes. Each of the 9 AP Statistics worksheets has an answer key on a separate page, so students solve first and check afterward. Keys show the final answer and the main steps for problems on sampling distributions.

What topics are on the AP Statistics worksheets?

The set runs from one-variable data to regression analysis, with chapters on sampling and experiments, sampling distributions and inference for means in between. All of it follows the College Board AP Statistics course framework.

How many problems are on each AP Statistics worksheet?

Each AP Statistics worksheet has at least 20 problems, ordered from direct skill checks to multi-step word problems. Problems on sampling and experiments and inference for means appear in both single-step and multi-step form.

How should students use an AP Statistics worksheet without copying answers?

Solve every problem before opening the key, then mark each miss and redo it after rereading the lesson on sampling and experiments. Read every free-response prompt for its context first, then choose the procedure that fits the question.

Which standards match the AP Statistics worksheets?

The worksheets align with 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 worksheet fits inside one unit of the framework.