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AP Statistics past papers and free-response questions

College Board publishes the AP Statistics free-response questions every year, with scoring guidelines, sample student responses and a chief reader report. This page collects every year it currently makes public, 2023 to 2026, to preview, open or download. From May 2027 the exam is fully digital, with 42 multiple-choice questions and 4 free-response questions, each section 1 hour 30 minutes.

On this page
  1. Papers by year
  2. What each question tests
  3. Exam format
  4. How to use them
  5. Free practice questions
  6. FAQ

AP Statistics free-response questions by year

Each file opens from College Board's official site. Preview shows it here, Open in new tab gives you the full screen, and Download saves a copy to print.

2026

2025

2024

2023

Source: AP Statistics past exam questions on AP Central. All papers are © College Board.

What each AP Statistics free-response question tests

Use this index to find past questions on the topics you need to practise. The descriptions are our own summaries.

2026

Q1Comparing the weights of two breeds of goat: distributions
Q2Experiment on coffee grounds and roses: experimental design
Q3Normal model for the length of a team song: probability
Q4Two fertilisers and the number of oranges: inference for two means
Q5Age group and sport for professional athletes: association between categorical variables
Q6Hits and runs for baseball teams: regression (longer question)

2025

Q1Gas mileage for cars from two countries: comparing distributions
Q2Aphids in a cabbage field: choosing a sampling design
Q3A restaurant playlist: probability
Q4Students using a homework app: significance test for a proportion
Q5Mean number of bedrooms in new houses: significance test for a mean
Q6Time of day and reading comprehension: analysing an experiment (investigative task)

2024

Q1Exercise centre members' opinions: sampling and comparing groups
Q2Bottle sizes sold for a fund-raiser: categorical data
Q3Mileage of four car models: comparing groups and study design
Q4Collecting crystals in an online game: probability
Q5Baseball cards at a convention: inference for a proportion
Q6Estimating the mean price of a whistle: estimators and sampling (investigative task)

2023

Q1Dissolved oxygen in cold and warm streams: comparing distributions
Q2Fibres in concrete driveways: completely randomised design
Q3Cash prizes in bath fizzies: random variables and expected value
Q4Omega-3 supplement versus placebo: experimental design and inference
Q5Chest circumference and weight of tule elk: linear regression
Q6Gold coating on necklaces: normal model and process monitoring (investigative task)

AP Statistics exam format

SectionQuestionsTimeScore
Section I: multiple choice42 questions, four answer choices each1 hour 30 minutes50%
Section II: free response4 questions1 hour 30 minutes50%

This is the format from the May 2027 exam onwards, when AP Statistics becomes fully digital in the Bluebook app, with a graphing calculator allowed throughout. The 2023 to 2026 exams had 40 multiple-choice questions and 6 free-response questions, the sixth being a longer investigative task. The past questions still cover the same statistical skills, so they remain excellent practice.

How to use past free-response questions

  1. Start with the newest papers. They match the current exam most closely.
  2. Do one question at a time, timed. Use the timings in the exam format above, with no notes open.
  3. Mark yourself strictly with the scoring guidelines, point by point, before reading anything else.
  4. Compare with the sample responses to see exactly what earned or lost each point.
  5. Read the chief reader report for the mistakes most students made that year, and keep a list of your own.
  6. Go back to weak topics using the topic index, then redo the question a week later.

Tips specific to AP Statistics:

Free AP Statistics practice questions

Ten original multiple-choice questions written by our tutors in the style of the exam. Choose an answer to see if you are right and why.

1. Test scores have mean 70 and standard deviation 8. What is the z-score of a score of 82?

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C. z = (82 − 70)/8 = 1.5.

2. A researcher splits subjects into groups by age, then randomly assigns treatments within each group. This design is called:

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B. Grouping similar units first and randomising within each group is blocking.

3. Events A and B are independent, with P(A) = 0.4 and P(B) = 0.5. What is P(A and B)?

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B. For independent events, P(A and B) = P(A)·P(B) = 0.2.

4. X is binomial with n = 10 and p = 0.3. What is the mean of X?

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C. The mean of a binomial distribution is np = 10 × 0.3 = 3.

5. The correlation between two variables is r = 0.8. What percentage of the variation in y is explained by the linear model?

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B. r² = 0.64, so 64% of the variation in y is explained by the linear relationship with x.

6. The sample size for estimating a proportion is increased from 100 to 400, with nothing else changed. What happens to the margin of error?

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B. The margin of error is proportional to 1/√n; √400/√100 = 2, so it is halved.

7. A test gives a p-value of 0.03 at the 5% significance level. What is the correct decision?

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B. 0.03 < 0.05, so we reject H₀: there is convincing evidence for the alternative.

8. What is a Type I error?

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B. A Type I error is rejecting H₀ when H₀ is actually true.

9. A regression line predicts 10.5 for a point whose actual value is 12. What is the residual?

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B. Residual = actual − predicted = 12 − 10.5 = 1.5.

10. Which statement correctly interprets a 95% confidence interval of (4.2, 5.8) for a population mean?

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B. The confidence is about the method capturing the population parameter, not about individual data values or sample means.

Frequently asked questions

Are AP Statistics past papers free?

Yes. College Board publishes the AP Statistics free-response questions, scoring guidelines and sample responses free on AP Central. This page links to those official files so you can preview, open or download them.

Why are there no older AP Statistics papers before 2023?

College Board currently makes the most recent years public on AP Central and removed older years from public access. Teachers can find many older released questions in AP Classroom.

Can I get full AP Statistics past exams with the multiple-choice section?

College Board does not publish full past multiple-choice sections publicly; complete practice exams are released to teachers through AP Classroom. The free-response questions, which are half of your score, are public, and this page has 10 original multiple-choice questions to practise with.

How is the AP Statistics free-response section scored?

On the 2023 to 2026 papers, each part of a free-response question was judged essentially correct, partially correct or incorrect, and each question scored 0 to 4. From 2027 there are four longer questions, each worth more points; the scoring guidelines show exactly what earns credit.

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Official file, shown from the exam board's own website.