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AP Exams · Statistics · Data and Inference

AP Statistics Practice Test

Build AP Statistics readiness with original data analysis, probability, inference, regression, and statistical communication questions.

AP Statistics practice sets

This page combines AP Statistics preparation in one canonical hub. It provides five short practice sets with 10 original questions each, covering one-variable data, data collection, probability, random variables, categorical and quantitative inference, regression, digital exam strategy, and statistical writing.

Skills covered

  • Explore data — distributions, graphs, summary statistics, standard deviation, z-scores, and outliers
  • Collect data — random sampling, experiments, confounding, bias, and scope of conclusions
  • Probability — conditional probability, independence, binomial settings, normal models, and simulation
  • Inference — confidence intervals, significance tests, proportions, means, conditions, p-values, and errors
  • Regression — residuals, correlation, slope, r², extrapolation, and model interpretation

AP Statistics course and exam scope

College Board organizes current AP Statistics content into five units: Exploring One-Variable Data and Collecting Data; Probability, Random Variables, and Probability Distributions; Inference for Categorical Data: Proportions; Inference for Quantitative Data: Means; and Regression Analysis. The course emphasizes formulating questions, collecting data, analyzing data, and interpreting results.

College Board’s current exam page describes a fully digital exam in Bluebook with multiple-choice and free-response questions. Current College Board information also includes a calculator policy and digital response guidance; exam details and course revisions can change, so review the current official materials before test day.

How to use this page

Start with one untimed set to identify a topic gap, then use timed sets to build pacing. For every missed item, identify the variable and parameter, check the conditions, read the explanation, and write a new conclusion in context.

These questions are original supplemental practice. They are not official College Board questions, secure AP Exam content, AP Classroom assignments, a score predictor, or a substitute for current AP policies and course materials.

For current scope and preparation, review the AP Statistics course page, the AP Central course overview, the AP Statistics exam page, the AP Statistics Course and Exam Description, and the AP calculator policy.

For more study options, visit AP Exam Tests or explore College Readiness Tests, High School Course Tests, and Pomodoro.

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AP Statistics Practice Questions

A 10-question AP Statistics practice set on ap statistics: probability, random variables, and distributions, with answers and explanations.

Read the data, study design, probability model, or inference result carefully. Choose the best answer and review the explanation after each response.

10 Questions
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C 0I 0U 10
1. QuestionMultiple choice

If P(A) = 0.4 and P(B) = 0.3 and A and B are mutually exclusive, what is P(A or B)?

Please select an answer first.

Correct answer: C

The correct answer is 0.7.

  1. Identify the statistical task: Determine whether the question asks you to describe data, model probability, collect data, or make an inference.
  2. Apply the method: For mutually exclusive events, add the probabilities: 0.4 + 0.3 = 0.7.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

For mutually exclusive events, add the probabilities: 0.4 + 0.3 = 0.7.

2. QuestionMultiple choice

If P(A) = 0.5 and P(B) = 0.2 and A and B are independent, what is P(A and B)?

Please select an answer first.

Correct answer: D

The correct answer is 0.10.

  1. Identify the statistical task: Determine whether the question asks you to describe data, model probability, collect data, or make an inference.
  2. Apply the method: For independent events, multiply: 0.5 × 0.2 = 0.10.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

For independent events, multiply: 0.5 × 0.2 = 0.10.

3. QuestionMultiple choice

What does conditional probability P(A|B) describe?

Please select an answer first.

Correct answer: A

The correct answer is The probability of A given that B has occurred.

  1. Identify the statistical task: Determine whether the question asks you to describe data, model probability, collect data, or make an inference.
  2. Apply the method: The vertical bar means the probability is conditioned on B.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

The vertical bar means the probability is conditioned on B.

4. QuestionMultiple choice

A binomial setting requires a fixed number of trials, two outcomes, constant success probability, and what condition?

Please select an answer first.

Correct answer: B

The correct answer is The trials are independent.

  1. Identify the statistical task: Determine whether the question asks you to describe data, model probability, collect data, or make an inference.
  2. Apply the method: Independence is one of the binomial conditions.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Independence is one of the binomial conditions.

5. QuestionMultiple choice

For a binomial random variable with n = 10, what is the possible range of X?

Please select an answer first.

Correct answer: C

The correct answer is 0 through 10.

  1. Identify the statistical task: Determine whether the question asks you to describe data, model probability, collect data, or make an inference.
  2. Apply the method: A count of successes in 10 trials can range from 0 to 10.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

A count of successes in 10 trials can range from 0 to 10.

6. QuestionMultiple choice

What is the expected value of a discrete random variable?

Please select an answer first.

Correct answer: D

The correct answer is The long-run average value across repeated trials.

  1. Identify the statistical task: Determine whether the question asks you to describe data, model probability, collect data, or make an inference.
  2. Apply the method: Expected value is the probability-weighted average.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Expected value is the probability-weighted average.

7. QuestionMultiple choice

In a normal distribution, approximately what proportion lies within 2 standard deviations of the mean?

Please select an answer first.

Correct answer: A

The correct answer is About 95 percent.

  1. Identify the statistical task: Determine whether the question asks you to describe data, model probability, collect data, or make an inference.
  2. Apply the method: The empirical rule gives approximately 95 percent within two standard deviations.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

The empirical rule gives approximately 95 percent within two standard deviations.

8. QuestionMultiple choice

What does a simulation do in probability?

Please select an answer first.

Correct answer: B

The correct answer is It models repeated random outcomes to estimate a probability or distribution.

  1. Identify the statistical task: Determine whether the question asks you to describe data, model probability, collect data, or make an inference.
  2. Apply the method: Repeated simulated trials can approximate long-run behavior.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Repeated simulated trials can approximate long-run behavior.

9. QuestionMultiple choice

If events A and B are independent, which relationship is true?

Please select an answer first.

Correct answer: C

The correct answer is P(A|B) = P(A).

  1. Identify the statistical task: Determine whether the question asks you to describe data, model probability, collect data, or make an inference.
  2. Apply the method: Independence means knowing B does not change the probability of A.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Independence means knowing B does not change the probability of A.

10. QuestionMultiple choice

What does the standard deviation of a sum of independent random variables require?

Please select an answer first.

Correct answer: D

The correct answer is Use variances first, then take the square root of the summed variances.

  1. Identify the statistical task: Determine whether the question asks you to describe data, model probability, collect data, or make an inference.
  2. Apply the method: For independent variables, variances add; standard deviation is the square root afterward.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

For independent variables, variances add; standard deviation is the square root afterward.

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Frequently asked questions about AP Statistics Practice Tests

What topics are included on this AP Statistics practice page?

The page covers data exploration and collection, probability, random variables, proportions, means, regression, conditions, p-values, and statistical communication.

Are these official College Board questions?

No. These are original supplemental questions. Use AP Classroom, Bluebook previews, AP Central, and current College Board course materials for official preparation.

Is the AP Statistics exam digital?

College Board’s current exam page describes a fully digital exam in Bluebook, but students should verify current administration details before test day.

Can I use a calculator on AP Statistics?

Calculators are permitted under current College Board policy, but students should review the current approved-device and digital calculator rules.

How should I write an inference conclusion?

Name the population and parameter, report the estimate or test result, and explain the evidence in context while respecting the method conditions.