Every AP Statistics (Stats) FRQ Sorted By Unit

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Jason Kuma

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UPDATED for the 2026-27 School Year. Below is every single AP Statistics FRQ from 2015-2026 sorted by topic.

At the end is the predicted FRQs for the upcoming 2027 exam. Good luck!

PRO TIP: Links open in FRQ Atlas — You find the FRQ and upload your working for free, free grading based on scoring guidelines.

FRQ Types

Breakdown by question style. The Investigative Task is the hardest part of the exam—save 25 minutes for it.

Free-Response Question

Standard multi-part questions covering Data, Probability, and Inference. Tip: Always define parameters in context before starting calculations.

55 questions

Investigative Task

The final Q6. It introduces a new topic or extension not explicitly in the course. Tip: Read the intro carefully; the definition you need is right there.

11 questions

Skills

The specific statistical competencies tested. Argumentation and interpretation are consistently the most frequent requirements.

Statistical Argumentation (82)

4.B: Interpret findings

Translate math into context. 33 qs

4.A: Make a claim

State a clear Yes/No conclusion. 22 qs

4.E: Justify via Sig Test

Link p-value to alpha explicitly. 14 qs

4.C: Verify conditions

Check Random, 10%, Large Counts/Normal. 10 qs

4.D: Justify via CI

Is the null value inside the interval? 3 qs

Using Probability (47)

3.A: Calculate probability

Binomial, geometric, or normal calcs. 20 qs

3.E: Calculate test stat

Find t or z and corresponding p-value. 11 qs

3.B: Determine parameters

Find mean/SD from a scenario. 6 qs

3.D: Construct CI

Formula + Substitution + Answer. 6 qs

3.C: Describe dists

Shape, Center, Spread, Outliers. 4 qs

Data Analysis (58)

2.A: Describe data

Interpret histograms, boxplots, scatterplots. 18 qs

2.D: Compare dists

Use comparative language (greater than, less than). 17 qs

2.C: Calc summary stats

Compute mean, median, IQR, residuals. 17 qs

2.B: Construct graphs

Draw boxplots, histograms, bar charts. 6 qs

Selecting Methods (39)

1.C: Describe method

Explain sampling or experimental design. 13 qs

1.F: Identify Hypotheses

State Ho and Ha with correct symbols. 10 qs

1.E: Identify Sig Test

Name the test (e.g., 2-sample t-test). 9 qs

1.B: Identify info

Pick relevant data for the problem. 6 qs

Units

Questions sorted by Course Unit. Units 1, 3, and 4 are the heavy hitters you cannot skip.

Unit 1: Exploring One-Variable Data

The foundation of the course; focuses on describing shape, outliers, center, and spread (SOCS) in context. 24 questions

Unit 2: Exploring Two-Variable Data

Regression analysis and scatterplots; interpreting slope and y-intercept in context is a guaranteed point. 15 questions

Unit 3: Collecting Data

Sampling and experimental design; distinguishing between observational studies and experiments is critical for scope of inference. 17 questions

Unit 4: Probability & Random Variables

Binomial and geometric distributions; knowing when to use which formula is the main challenge here. 16 questions

Unit 5: Sampling Distributions

The bridge to inference; understanding the Central Limit Theorem and how sample size affects variability is key. 7 questions

Unit 6: Inference for Proportions

Confidence intervals and hypothesis tests for categorical data; always check conditions (Random, 10%, Large Counts). 12 questions

Unit 7: Inference for Means

T-tests and intervals; remember that t-distributions are used when sigma is unknown (almost always). 7 questions

Unit 8: Inference for Chi-Square

Testing goodness of fit, homogeneity, or independence; differentiating between homogeneity and independence depends on sampling method. 5 questions

Unit 9: Inference for Slopes

Linear regression inference; focuses on the standard error of the slope and interpreting computer output. 2 questions

Unit 1: Exploring One-Variable Data

  • 2026 Q1 (Free-Response Question) — Goat breed weights, comparing distributions, summary statistics.
  • 2026 Q3 (Free-Response Question) — Song performance times, normal model, binomial probability.
  • 2025 Q1 (Free-Response Question) — Gas mileage, comparing distributions, combined statistics.
  • 2025 Q5 (Free-Response Question) — Sampling distribution, bedrooms, t-inference.
  • 2025 Q6 (Investigative Task) — Reading scores, effect size, Cohen’s d.
  • 2024 Q2 (Free-Response Question) — Segmented bar graphs, mosaic plot, sales comparison.
  • 2024 Q6 (Investigative Task) — Whistle prices, skewness, t-interval conditions.
  • 2023 Q1 (Free-Response Question) — Dissolved oxygen, histogram, summary statistics.
  • 2023 Q6 (Investigative Task) — Gold coating, range probability, sampling distribution.
  • 2022 Q3 (Free-Response Question) — Normal distribution, shampoo bottles, underfilling.
  • 2022 Q5 (Free-Response Question) — Blood pressure, simulation, statistical significance.
  • 2021 Q1 (Free-Response Question) — Hospital stays, outlier rules, IQR vs SD.
  • 2021 Q5 (Free-Response Question) — Segmented bar chart, soft drinks, proportions.
  • 2021 Q6 (Investigative Task) — Baseball attendance, scatterplots, confounding variable.
  • 2019 Q1 (Free-Response Question) — Room sizes, histogram shape, outliers.
  • 2019 Q5 (Free-Response Question) — Smartphone battery, normal percentiles, expected gain.
  • 2019 Q6 (Investigative Task) — Rental prices, bootstrapping, mean vs median.
  • 2018 Q5 (Free-Response Question) — Teacher years, weighted mean, histogram medians.
  • 2017 Q3 (Free-Response Question) — Melon diameters, normal probability, conditional probability.
  • 2017 Q4 (Free-Response Question) — Pottery chemicals, boxplots, comparing distributions.
  • 2016 Q1 (Free-Response Question) — Tip amounts, histogram, mean vs median effect.
  • 2016 Q6 (Investigative Task) — Salary vs semesters, scatterplots, confounding variable.
  • 2015 Q1 (Free-Response Question) — Salary boxplots, comparing corporations, visual analysis.
  • 2015 Q6 (Investigative Task) — Tortilla sampling, representativeness, variability.

Unit 2: Exploring Two-Variable Data

  • 2026 Q5 (Free-Response Question) — Athlete age groups, two-way table, mosaic plot.
  • 2026 Q6 (Investigative Task) — Runs vs hits regression, prediction intervals, investigative extension.
  • 2024 Q2 (Free-Response Question) — Segmented bar graphs, mosaic plot, sales comparison.
  • 2024 Q5 (Free-Response Question) — Two-way table, chi-square independence, baseball cards.
  • 2023 Q5 (Free-Response Question) — Elk weight, regression slope test, chest circumference.
  • 2022 Q1 (Free-Response Question) — Bullfrog mass, length regression, scatterplot analysis.
  • 2022 Q6 (Investigative Task) — Allergy clinics, Simpson’s Paradox, mosaic plots.
  • 2021 Q5 (Free-Response Question) — Segmented bar chart, soft drinks, proportions.
  • 2021 Q6 (Investigative Task) — Baseball attendance, scatterplots, confounding variable.
  • 2018 Q1 (Free-Response Question) — Checkout times, scatterplot, regression output.
  • 2017 Q1 (Free-Response Question) — Wolf regression, slope interpretation, residual calculation.
  • 2016 Q2 (Free-Response Question) — Ad experiment, snack choice, homogeneity test.
  • 2016 Q3 (Free-Response Question) — Alzheimer’s study, confounding variable, observational study.
  • 2016 Q6 (Investigative Task) — Salary vs semesters, scatterplots, confounding variable.
  • 2015 Q5 (Free-Response Question) — Arm span, height, regression model.

Unit 3: Collecting Data

  • 2026 Q2 (Free-Response Question) — Rosebush experiment, randomized design, coffee grounds.
  • 2025 Q2 (Free-Response Question) — Aphid sampling, cluster vs stratified, bias.
  • 2025 Q6 (Investigative Task) — Reading scores, effect size, Cohen’s d.
  • 2024 Q3 (Free-Response Question) — Car mileage, experimental design, scope of inference.
  • 2023 Q2 (Free-Response Question) — Concrete fiber, randomization method, experimental design.
  • 2022 Q2 (Free-Response Question) — Acne treatment, twin study, matched pairs design.
  • 2022 Q5 (Free-Response Question) — Blood pressure, simulation, statistical significance.
  • 2022 Q6 (Investigative Task) — Allergy clinics, Simpson’s Paradox, mosaic plots.
  • 2021 Q2 (Free-Response Question) — Cholesterol study, bias identification, causal claims.
  • 2021 Q6 (Investigative Task) — Baseball attendance, scatterplots, confounding variable.
  • 2019 Q2 (Free-Response Question) — Fungus experiment, control group, randomization.
  • 2019 Q6 (Investigative Task) — Rental prices, bootstrapping, mean vs median.
  • 2018 Q2 (Free-Response Question) — Recycling survey, bias, randomized response.
  • 2018 Q4 (Free-Response Question) — ACL surgery, mean recovery time, scope of inference.
  • 2017 Q6 (Investigative Task) — Random assignment, coin flip vs chips, probability.
  • 2016 Q3 (Free-Response Question) — Alzheimer’s study, confounding variable, observational study.
  • 2015 Q6 (Investigative Task) — Tortilla sampling, representativeness, variability.

Unit 4: Probability, Random Variables, and Probability Distributions

  • 2026 Q3 (Free-Response Question) — Song performance times, normal model, binomial probability.
  • 2026 Q5 (Free-Response Question) — Athlete age groups, two-way table, mosaic plot.
  • 2025 Q3 (Free-Response Question) — Playlist songs, binomial probability, expected value.
  • 2025 Q5 (Free-Response Question) — Sampling distribution, bedrooms, t-inference.
  • 2024 Q4 (Free-Response Question) — Crystal collection, geometric distribution, discrete mean.
  • 2023 Q3 (Free-Response Question) — Cash prizes, conditional probability, expected value.
  • 2022 Q3 (Free-Response Question) — Normal distribution, shampoo bottles, underfilling.
  • 2021 Q3 (Free-Response Question) — Employee gift cards, binomial probability, expected value.
  • 2019 Q3 (Free-Response Question) — Medicine adherence, two-way table, binomial distribution.
  • 2019 Q5 (Free-Response Question) — Smartphone battery, normal percentiles, expected gain.
  • 2018 Q2 (Free-Response Question) — Recycling survey, bias, randomized response.
  • 2018 Q3 (Free-Response Question) — Multiple births, left-handedness, conditional probability.
  • 2017 Q3 (Free-Response Question) — Melon diameters, normal probability, conditional probability.
  • 2017 Q6 (Investigative Task) — Random assignment, coin flip vs chips, probability.
  • 2016 Q4 (Free-Response Question) — Rocket igniters, independent events, conditional probability.
  • 2015 Q3 (Free-Response Question) — ATM breakdown, expected values, conditional probability.

Unit 5: Sampling Distributions

  • 2026 Q6 (Investigative Task) — Runs vs hits regression, prediction intervals, investigative extension.
  • 2023 Q6 (Investigative Task) — Gold coating, range probability, sampling distribution.
  • 2022 Q3 (Free-Response Question) — Normal distribution, shampoo bottles, underfilling.
  • 2019 Q6 (Investigative Task) — Rental prices, bootstrapping, mean vs median.
  • 2018 Q6 (Investigative Task) — Systolic BP, Type II error, power.
  • 2016 Q5 (Free-Response Question) — Poll confidence interval, proportion inference, conditions.
  • 2015 Q6 (Investigative Task) — Tortilla sampling, representativeness, variability.

Unit 6: Inference for Categorical Data: Proportions

  • 2025 Q4 (Free-Response Question) — App usage, one-sample z-test, population proportion.
  • 2025 Q5 (Free-Response Question) — Sampling distribution, bedrooms, t-inference.
  • 2024 Q1 (Free-Response Question) — Fitness classes, two-sample z-test, proportions.
  • 2022 Q4 (Free-Response Question) — Video streaming, confidence interval, proportion claim.
  • 2021 Q4 (Free-Response Question) — Pet coupons, one-sample z-test, error types.
  • 2019 Q4 (Free-Response Question) — Plant resistance, hypothesis test, proportion increase.
  • 2018 Q2 (Free-Response Question) — Recycling survey, bias, randomized response.
  • 2018 Q6 (Investigative Task) — Systolic BP, Type II error, power.
  • 2017 Q2 (Free-Response Question) — Soda filling, confidence interval, cost estimation.
  • 2016 Q5 (Free-Response Question) — Poll confidence interval, proportion inference, conditions.
  • 2015 Q2 (Free-Response Question) — Discount promotion, confidence interval, margin of error.
  • 2015 Q4 (Free-Response Question) — Aspirin study, colon cancer, significance test.

Unit 7: Inference for Quantitative Data: Means

  • 2026 Q4 (Free-Response Question) — Fertilizer brands, two-sample t-test, mean orange counts.
  • 2025 Q5 (Free-Response Question) — Sampling distribution, bedrooms, t-inference.
  • 2025 Q6 (Investigative Task) — Reading scores, effect size, Cohen’s d.
  • 2024 Q6 (Investigative Task) — Whistle prices, skewness, t-interval conditions.
  • 2023 Q4 (Free-Response Question) — Omega-3, irritability, paired hypothesis test.
  • 2022 Q5 (Free-Response Question) — Blood pressure, simulation, statistical significance.
  • 2018 Q4 (Free-Response Question) — ACL surgery, mean recovery time, scope of inference.

Unit 8: Inference for Categorical Data: Chi-Square

  • 2026 Q5 (Free-Response Question) — Athlete age groups, two-way table, mosaic plot.
  • 2024 Q5 (Free-Response Question) — Two-way table, chi-square independence, baseball cards.
  • 2021 Q5 (Free-Response Question) — Segmented bar chart, soft drinks, proportions.
  • 2017 Q5 (Free-Response Question) — Schizophrenia diagnosis, independence test, age/gender.
  • 2016 Q2 (Free-Response Question) — Ad experiment, snack choice, homogeneity test.

Unit 9: Inference for Quantitative Data: Slopes

  • 2026 Q6 (Investigative Task) — Runs vs hits regression, prediction intervals, investigative extension.
  • 2023 Q5 (Free-Response Question) — Elk weight, regression slope test, chest circumference.

2027 FRQ Topics Prediction

We used Phy AI + the frequency of topics above to make an educated guess on what you might see on the upcoming 2027 AP Statistics Exam FRQ:

  • Unit 1: Exploring One-Variable Data — 24 appearances. Expect a question requiring you to describe a distribution using SOCS (Shape, Outliers, Center, Spread) or compare two boxplots side-by-side.
  • Unit 3: Collecting Data — 17 appearances. A design question focused on sampling bias or identifying the specific type of experimental design (e.g., matched pairs or randomized block) is highly likely.
  • Unit 4: Probability — 16 appearances. Prepare for a binomial probability calculation or a conditional probability problem involving a two-way table or tree diagram.
  • Unit 9: Inference for Slopes — 2 appearances. The 2026 investigative task finally touched slope inference, but a standalone FRQ is still rare; make sure you can read computer regression output to construct a confidence interval for the slope.

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