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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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5 Tests
1. Test2. Test3. Test4. Test5. Test

1. Test

AP Statistics Practice Questions

A 10-question AP Statistics practice set on ap statistics: exploring one-variable data and collecting data, 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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1. QuestionMultiple choice

Which graph is generally appropriate for displaying the distribution of one quantitative variable?

Please select an answer first.

Correct answer: A

The correct answer is A histogram.

  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 histogram groups quantitative values into intervals to show the distribution.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

A histogram groups quantitative values into intervals to show the distribution.

2. QuestionMultiple choice

What does the median describe?

Please select an answer first.

Correct answer: B

The correct answer is The middle value when observations are ordered.

  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 median is the center observation or midpoint of the two center observations.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

The median is the center observation or midpoint of the two center observations.

3. QuestionMultiple choice

A distribution has a long right tail. Which relationship is typical?

Please select an answer first.

Correct answer: C

The correct answer is The mean is greater than the median.

  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: Large values in the right tail pull the mean upward.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Large values in the right tail pull the mean upward.

4. QuestionMultiple choice

What is the interquartile range?

Please select an answer first.

Correct answer: D

The correct answer is Q3 - Q1.

  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 interquartile range measures the spread of the middle 50 percent.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

The interquartile range measures the spread of the middle 50 percent.

5. QuestionMultiple choice

Why is a random sample useful?

Please select an answer first.

Correct answer: A

The correct answer is It gives each population member a known chance of selection and can reduce selection bias.

  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: Random selection supports representative sampling but does not eliminate variability.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Random selection supports representative sampling but does not eliminate variability.

6. QuestionMultiple choice

Which study design can support a cause-and-effect conclusion?

Please select an answer first.

Correct answer: B

The correct answer is A randomized comparative experiment.

  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: Random assignment of treatments helps support causal conclusions.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Random assignment of treatments helps support causal conclusions.

7. QuestionMultiple choice

What is a confounding variable?

Please select an answer first.

Correct answer: C

The correct answer is A variable whose effect cannot be separated from 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: Confounding prevents clear separation of competing explanations.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Confounding prevents clear separation of competing explanations.

8. QuestionMultiple choice

What does standard deviation measure?

Please select an answer first.

Correct answer: D

The correct answer is The typical distance of observations from the mean.

  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: Standard deviation summarizes variation around the mean.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Standard deviation summarizes variation around the mean.

9. QuestionMultiple choice

A standardized score is z = 2. What does this indicate?

Please select an answer first.

Correct answer: A

The correct answer is The value is two standard deviations above the mean.

  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 z-score measures signed distance from the mean in standard deviations.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

A z-score measures signed distance from the mean in standard deviations.

10. QuestionMultiple choice

What should be checked before generalizing a sample result to a population?

Please select an answer first.

Correct answer: B

The correct answer is How the sample was selected and whether the study matches the target population.

  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: Generalization depends on sampling design and the population addressed.
  3. Interpret the result: State the conclusion in context and check the variable, population, sample, units, and conditions.

Generalization depends on sampling design and the population addressed.

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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.