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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 means and regression analysis, 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 does a sample mean estimate?

Please select an answer first.

Correct answer: C

The correct answer is The population mean μ.

  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 mean is a point estimate for the population mean.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

The sample mean is a point estimate for the population mean.

2. QuestionMultiple choice

When is a one-sample t procedure generally used?

Please select an answer first.

Correct answer: D

The correct answer is To make inference about a population mean when the population standard deviation is unknown.

  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 t procedure accounts for estimating population spread with the sample standard deviation.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

The t procedure accounts for estimating population spread with the sample standard deviation.

3. QuestionMultiple choice

What is the slope of a least-squares regression line interpreted as?

Please select an answer first.

Correct answer: A

The correct answer is The predicted change in the response for a one-unit increase in the explanatory variable.

  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: Slope describes the model’s predicted change in y for a one-unit x increase.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Slope describes the model’s predicted change in y for a one-unit x increase.

4. QuestionMultiple choice

What does r² represent in a linear regression setting?

Please select an answer first.

Correct answer: B

The correct answer is The proportion of variation in the response explained by the linear model.

  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 coefficient of determination describes explained variation.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

The coefficient of determination describes explained variation.

5. QuestionMultiple choice

A residual is calculated as observed y minus what?

Please select an answer first.

Correct answer: C

The correct answer is Predicted y.

  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 residual is y - ŷ, the observed response minus the model prediction.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

A residual is y - ŷ, the observed response minus the model prediction.

6. QuestionMultiple choice

What pattern in a residual plot suggests a linear model may be inappropriate?

Please select an answer first.

Correct answer: D

The correct answer is A systematic curve or clear structure.

  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: Structure indicates the model leaves a pattern unexplained.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Structure indicates the model leaves a pattern unexplained.

7. QuestionMultiple choice

What does a correlation close to -1 indicate?

Please select an answer first.

Correct answer: A

The correct answer is A strong negative linear association.

  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: Correlation describes direction and strength of a linear association, not causation.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Correlation describes direction and strength of a linear association, not causation.

8. QuestionMultiple choice

What is the difference between extrapolation and interpolation?

Please select an answer first.

Correct answer: B

The correct answer is Extrapolation predicts outside the observed x-range; interpolation predicts inside it.

  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: Predictions outside the data range are more risky because the relationship may change.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Predictions outside the data range are more risky because the relationship may change.

9. QuestionMultiple choice

For a confidence interval for a population mean, what happens when confidence level increases, all else equal?

Please select an answer first.

Correct answer: C

The correct answer is The interval becomes wider.

  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: More confidence requires a larger margin of error.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

More confidence requires a larger margin of error.

10. QuestionMultiple choice

What should be included in a statistical conclusion?

Please select an answer first.

Correct answer: D

The correct answer is The parameter, direction or estimate, evidence or interval, and context.

  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 complete conclusion connects the method and result to the population question.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

A complete conclusion connects the method and result to the population question.

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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.