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AP Statistics practice test

StudySim's free AP Statistics practice test has 24 sample questions with answer explanations. Interpret data, plan investigations, reason with probability, and draw statistical conclusions. Use the answer explanations to understand the reasoning, then revisit the topics that need more work.

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Sample AP Statistics questions

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AP Statistics Sample Questions

Practice quiz

1. For the data 2, 4, 4, 5, 20, which summary pair best resists the effect of the value 20?

2. A student scores 82 on a test with mean 70 and standard deviation 8. What is the z-score?

3. A city estimates residents’ commute times by asking people who respond to a transit-agency social-media post. What is the chief concern?

4. A school randomly assigns volunteers to either a new study method or their usual method. What does random assignment primarily support?

5. An experiment blocks participants by age group before assigning treatments within each block. Why?

6. Events A and B are independent, with P(A) = 0.4 and P(B) = 0.3. What is P(A and B)?

7. Of 100 students, 40 take art, 30 take music, and 15 take both. What is P(music | art)?

8. A discrete random variable X takes 0, 1, 2 with probabilities 0.2, 0.5, 0.3. What is E(X)?

9. A fair coin is tossed independently six times. What is the probability of exactly two heads?

10. A binomial random variable counts successes in 80 independent trials with p = 0.25. What is its standard deviation?

11. If X has mean 10 and standard deviation 3, what is the standard deviation of Y = 4X + 7?

12. Independent random variables X and Y have standard deviations 3 and 4. What is SD(X − Y)?

13. A random sample of 100 voters gives p̂ = 0.60. Using z* = 1.96, which is the approximate 95% confidence interval for p?

14. A 95% confidence interval estimates a population proportion. Which interpretation is correct?

15. A researcher tests H₀: p = 0.5 against Hₐ: p > 0.5 and obtains p-value 0.03. At α = 0.05, what is the conclusion?

16. For a test of H₀: p = 0.4, what is a Type I error?

17. If all else stays the same, what happens to a confidence interval’s margin of error when sample size rises from 100 to 400?

18. A random sample of 16 observations has mean 20 and sample SD 4. What standard error is used for a one-sample t interval for the population mean?

19. The same ten people are measured before and after a training program. Which analysis best addresses mean change?

20. Two independent random samples compare a quantitative response. Group A has n = 36, mean = 12, and sample SD = 6; group B has n = 49, mean = 9, and sample SD = 7. Conditions for a two-sample t procedure are met. For H₀: μA − μB = 0, what is the approximate test statistic?

21. A regression line is ŷ = 12 + 2.5x. If x is study hours and y is test points, how is the slope interpreted?

22. A model predicts 78 points for a student whose actual score is 84. What is the residual?

23. A regression has r² = 0.64. Which statement is justified?

24. Residuals from a fitted line show a clear U-shaped pattern. What is the best response?

0 of 24 answered

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Exam at a glance

AP Statistics preparation includes Exploring and collecting data, Probability and distributions, Inference for proportions, Inference for means, Regression analysis. This StudySim bank provides original multiple-choice skill practice. Consult the official framework for the complete exam format, required tasks, and current policies.

Detail	Information
Content framework	College Board: AP Statistics course framework

Source: College Board: AP Statistics course framework · Last reviewed Oct 27, 2026

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AP Statistics content areas

Exploring and collecting data

Practice exploring and collecting data with original questions and explanations. Topic labels describe this bank, rather than official section weights.

Probability and distributions

Practice probability and distributions with original questions and explanations. Topic labels describe this bank, rather than official section weights.

Inference for proportions

Practice inference for proportions with original questions and explanations. Topic labels describe this bank, rather than official section weights.

Inference for means

Practice inference for means with original questions and explanations. Topic labels describe this bank, rather than official section weights.

Regression analysis

Practice regression analysis with original questions and explanations. Topic labels describe this bank, rather than official section weights.

Study tips for AP Statistics

Explain your answer

Before opening the explanation, identify the evidence, calculation, or rule that supports your choice. Explain why the other choices do not fit.

Practice a weak topic

Use the topic and difficulty filters in exam prep, then review your missed questions. These difficulty labels are editorial estimates, not calibrated exam statistics.

Use official exam materials too

Pair these skill checks with official practice materials for pacing, extended responses, and any tasks not represented by multiple-choice practice.

A few useful details

AP Statistics FAQ

Is this an official AP Statistics exam?

No. StudySim writes original practice questions independently. This is not a full-length exam, an official past paper, or a predictor of an official exam score.

Can I practice without signing up?

Yes. These prepared practice questions and their explanations are free to use without an account. They do not require an AI generation request.

How should I use the practice results?

Use the raw number correct and topic breakdown to decide what to review. Difficulty labels are editorial estimates. Results are not converted into an official scaled score.

Does this include every exam task?

No. This bank focuses on multiple-choice skills. Official exams may also require essays, free responses, performances, audio, projects, or other task formats; use official resources for those components.

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