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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: inference for categorical data and proportions, 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

What is a point estimate for a population proportion?

Please select an answer first.

Correct answer: A

The correct answer is The sample proportion p̂.

  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 sample proportion estimates the population proportion.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

The sample proportion estimates the population proportion.

2. QuestionMultiple choice

What is the purpose of a confidence interval for a population proportion?

Please select an answer first.

Correct answer: B

The correct answer is To estimate a plausible range for the population proportion.

  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 confidence interval communicates uncertainty around an estimate.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

A confidence interval communicates uncertainty around an estimate.

3. QuestionMultiple choice

As sample size increases, what generally happens to the standard error of a sample proportion?

Please select an answer first.

Correct answer: C

The correct answer is It decreases.

  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 standard error contains a square-root sample-size denominator.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

The standard error contains a square-root sample-size denominator.

4. QuestionMultiple choice

In a significance test, what does the null hypothesis usually represent?

Please select an answer first.

Correct answer: D

The correct answer is A baseline claim of no difference or no effect.

  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 null provides the reference model for measuring evidence.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

The null provides the reference model for measuring evidence.

5. QuestionMultiple choice

What does a small p-value indicate?

Please select an answer first.

Correct answer: A

The correct answer is The observed result would be unusual if the null hypothesis were true.

  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 p-value measures evidence against the null under the null model.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

A p-value measures evidence against the null under the null model.

6. QuestionMultiple choice

If p-value = 0.03 and α = 0.05, what is the decision?

Please select an answer first.

Correct answer: B

The correct answer is Reject the null hypothesis.

  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: Because 0.03 is below 0.05, the result is statistically significant at that level.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Because 0.03 is below 0.05, the result is statistically significant at that level.

7. QuestionMultiple choice

What is a Type I error?

Please select an answer first.

Correct answer: C

The correct answer is Rejecting a true null hypothesis.

  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 Type I error is a false positive relative to the null.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

A Type I error is a false positive relative to the null.

8. QuestionMultiple choice

For a two-proportion confidence interval, what must the interval describe?

Please select an answer first.

Correct answer: D

The correct answer is A plausible range for the difference between two population proportions.

  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 parameter is p₁ - p₂, the population difference in proportions.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

The parameter is p₁ - p₂, the population difference in proportions.

9. QuestionMultiple choice

What is the purpose of checking conditions before inference?

Please select an answer first.

Correct answer: A

The correct answer is To justify that the chosen method and its approximation are appropriate.

  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: Conditions support the validity of the inference procedure.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Conditions support the validity of the inference procedure.

10. QuestionMultiple choice

If a confidence interval for p₁ - p₂ includes 0, what is a cautious interpretation?

Please select an answer first.

Correct answer: B

The correct answer is A difference of 0 remains plausible at the confidence level used.

  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: Including 0 means no difference is among the plausible parameter values.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Including 0 means no difference is among the plausible parameter values.

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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.