AP Statistics · 45 questions
Past multiple-choice questions
Every multiple-choice question College Board has published for AP Statistics that the current course still covers, sorted by the unit and topic each one tests in the current course. Each one opens College Board's own page beside its answer choices, and tells you right away whether your pick matches College Board's answer key.
College Board printed these questions as samples in its course and exam descriptions and, before 2019, in its course description booklets. We read 7 of those PDFs: the ones College Board posts now from its site, and every earlier one from the copy the Internet Archive saved. A question printed in more than one is listed once, from the newest PDF that prints it. We left out 6 that test content the current course no longer covers. Your picks stay in this browser and are never sent anywhere.
Unit 1: Exploring One-Variable Data and Collecting Data
- Topic 1.1 · Question 1 · Calculator allowed Why study teen screen time with a sample A researcher wants to know how long teenagers across a big country spend on their devices each day. Pick the reason a statistical study suits that goal.
- Topic 1.1 · Question 2 · Calculator allowed Who a library survey speaks for A librarian picks some video borrowers at random to ask about in-person and online checkout. Name the sample and the population the results describe.
- Topic 1.6 · Question 3 · Calculator allowed Spotting a flat histogram Four histograms are drawn. Choose the one whose bars stay at roughly the same height across the whole range.
- Topic 1.7 · Question 4 · Calculator allowed Fixing a scale that read heavy Every newborn's recorded weight drops by the same small amount after a scale error is found. Decide which summary number does not move.
- Topic 1.7 · Question 5 · Calculator allowed Phone time during a lecture Use a mean, quartiles and a histogram of minutes spent on phones to place the median and count outliers by the IQR fence rule.
- Topic 1.7 · Question 8, 2010 course description · Calculator allowed Rescaling every value in a data set Each value is multiplied by the same constant. Decide which of three summary statistics change as a result.
- Topic 1.9 · Question 5, 2010 course description · Calculator allowed Turning a z-score back into a test score Use the mean and standard deviation from a summary table to recover the raw score behind a given standardized value.
- Topic 1.10 · Question 6 · Calculator allowed Framing a healing time question A trainer hopes a new treatment shortens recovery from knee injuries. Choose the parameter and the alternative direction his question should name.
- Topic 1.11 · Question 2, 2010 course description · Calculator allowed When stratifying beats a simple random sample Choose the way of forming strata that makes a stratified sample worth using instead of a simple random one.
- Topic 1.11 · Question 7 · Calculator allowed Surveying two whole regions of a district A firm splits a district into similar regions, draws two at random and asks everyone in them. Name the sampling method.
- Topic 1.12 · Question 9, 2010 course description · Calculator allowed Few surveys returned Only a small share of a random sample sent back a mailed survey. Explain how that can bias what the survey finds.
- Topic 1.13 · Question 11, 2025 printing of the earlier course · Calculator allowed Migraine dosage experiment Four doses of a medicine are randomly assigned to twenty people who get migraines. Identify the experimental units.
- Topic 1.13 · Question 16, 2010 course description · Calculator allowed Two bakers compare cookie recipes Find the false claim about a study where each baker tests their own recipe on their own friends.
Unit 2: Probability, Random Variables, and Probability Distributions
- Topic 2.2 · Question 8 · Calculator allowed Blood type among positive pints From a two-way table of donated pints by blood type and Rh factor, find a conditional proportion within one row.
- Topic 2.6 · Question 3, 2010 course description · Calculator allowed Screening bags for forbidden items Forbidden items are rare, the alarm misses a few and also sounds for some clean bags. Find the chance an alarming bag really holds something forbidden.
- Topic 2.6 · Question 13, 2025 printing of the earlier course · Calculator allowed Junior staff and one department Use the given percentages for job level and department to find the chance a randomly chosen worker is in the department but not junior.
- Topic 2.9 · Question 10, 2010 course description · Calculator allowed Expected points from a dice game Rolling a six wins points and any other roll loses some. Find the expected total over a hundred rolls.
- Topic 2.10 · Question 2, 2025 printing of the earlier course · Calculator allowed Six of eight adults reading news online Each adult in a small random sample has a known chance of getting all their news online. Pick the binomial expression for exactly six of them.
- Topic 2.10 · Question 9 · Calculator allowed Spread in the count of left-handers With about one person in ten left-handed, find the standard deviation of the number of left-handers in groups of 20.
- Topic 2.10 · Question 10 · Calculator allowed At least four left-handers in twenty Use a binomial model to find the chance that a random group of 20 students holds four or more left-handed people.
- Topic 2.10 · Question 11 · Calculator allowed What an expected count of two means The mean number of left-handers in groups of 20 is 2. Pick the statement that reads this expected value correctly.
- Topic 2.11 · Question 12 · Calculator allowed Penguin weights in a middle range Penguin weights follow a normal model with a given center and spread. Find the chance one weighs between two given values.
Unit 3: Inference for Categorical Data: Proportions
- Topic 3.4 · Question 18, 2010 course description · Calculator allowed Paper cricket landings After more jumps are recorded, decide what happens to a confidence interval for the chance the cricket lands on its feet.
- Topic 3.5 · Question 4, 2010 course description · Calculator allowed Checking a candy color claim A company says one color makes up a set share of its candies. Pick the test that fits a single random sample of candies.
- Topic 3.5 · Question 14 · Calculator allowed Hypotheses for a claim about exercise A principal says most students at a school exercise at least a few hours a week. Choose the null and alternative hypotheses for testing that claim.
- Topic 3.8 · Question 14, 2025 printing of the earlier course · Calculator allowed Where a Type II error is most likely Compare sample sizes and true proportions for a left-tailed test and find the setting with the biggest chance of missing a real effect.
- Topic 3.8 · Question 15 · Calculator allowed Naming a Type II error For a left-tailed test about a proportion, choose the statement that describes the second kind of error.
- Topic 3.8 · Question 15, 2010 course description · Calculator allowed Power of a poll before a run for governor Compare significance levels and sample sizes to find the plan most likely to detect support that really is above the cutoff.
- Topic 3.10 · Question 16 · Calculator allowed Normality check for a blanket survey An interval compares the share of teens and of adults who use a blanket in bed. Pick the reason the normal approximation can be used.
- Topic 3.13 · Question 3, 2025 printing of the earlier course · Calculator allowed Bacon eaters in two survey years Two surveys years apart report sample shares of heavy bacon eaters. Choose the test statistic set up under the null that the two population shares match.
- Topic 3.13 · Question 17 · Calculator allowed Working from home in two years Compare samples of adults from 2022 and 2024 and find the statistic and p-value for a one-sided test of a rise.
- Topic 3.14 · Question 18 · Calculator allowed Swimming experience and injury One sample of swimmers is sorted by experience level and by injury. Pick the inference procedure that fits the design.
- Topic 3.15 · Question 9, 2025 printing of the earlier course · Calculator allowed Marathon training injuries by experience A chi-square statistic comes from a table of three experience levels by injury status. Place its p-value in the right range.
- Topic 3.15 · Question 13, 2010 course description · Calculator allowed Aggressive termite pairs A chi-square test asks whether termite pairs drawn from one colony fight as often as pairs drawn from two. Pick the p-value range and the direction the counts point.
Unit 4: Inference for Quantitative Data: Means
- Topic 4.1 · Question 19 · Calculator allowed Simulated means of older adults' ages Many random samples of 30 are drawn from a known age distribution. Describe the shape, center and spread of the sample means.
- Topic 4.3 · Question 6, 2010 course description · Calculator allowed A two-sided p-value and a confidence interval A test about a mean gives a p-value a little above 0.03. Decide which statement about the matching interval or about errors has to hold.
- Topic 4.3 · Question 13 · Calculator allowed Raising the confidence level on commute data The same sample is reused for a higher confidence level. Decide what happens to the interval and its parts.
- Topic 4.3 · Question 20 · Calculator allowed What 95 percent means for farm sizes A sample of farms gives an interval for the mean farm size. Pick the sentence that explains the confidence level itself.
- Topic 4.5 · Question 21 · Calculator allowed A vitamin intake test with a small p-value A one-sided test about women's average vitamin intake gives a p-value below the significance level. Choose the right conclusion in context.
Unit 5: Regression Analysis
- Topic 5.2 · Question 22 · Calculator allowed Sprint time and long jump: reading r A regression of jump distance on dash time reports a correlation. Pick the description of direction and strength.
- Topic 5.4 · Question 1, 2010 course description · Calculator allowed Largest residual on a scatterplot Five labeled points sit around a fitted line. Find the one whose vertical gap from the line is biggest.
- Topic 5.4 · Question 24 · Calculator allowed Recovering a jump from its residual Given a teammate's dash time and residual, use the regression line to work back to the distance actually jumped.
- Topic 5.5 · Question 7, 2025 printing of the earlier course · Calculator allowed Latitude and winter lows in Europe A fitted line predicts a city's average low temperature from how far north it lies. Pick the reading of the slope that fits the equation.
- Topic 5.5 · Question 12, 2010 course description · Calculator allowed Lean body mass and metabolic rate Read regression software output and choose the right interpretation of the slope in context.
- Topic 5.5 · Question 23 · Calculator allowed Sprint time and long jump: reading r squared The same regression reports a coefficient of determination. Choose the interpretation that names the right variable and the right share.
The questions and answer keys are College Board's; each question's page names the PDF it comes from. The titles and summaries on this page are ours.