100+ Free AP Statistics Practice Questions

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Which of the following would most increase the value of the mean of a data set while leaving the median unchanged?

Adding one extremely large value

Removing the smallest value

Adding a value equal to the current mean

Adding one value equal to the current median

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Key Facts: AP Statistics Exam

multiple-choice questions in Section I (1h 30m, 50% of score)

College Board AP Central

free-response questions in Section II, including one investigative task

College Board AP Central

units of content from exploring data through statistical inference

College Board CED

1-5

AP score scale, with 3+ generally earning college credit

College Board

15-23%

exam weight of Unit 1, the most heavily weighted unit

College Board CED

$99

approximate US AP exam fee per exam for 2025-26

College Board

The AP Statistics exam is 3 hours long and split into two equally weighted sections: Section I has 40 multiple-choice questions (1 hour 30 minutes, 50% of the score) and Section II has 6 free-response questions including one investigative task (1 hour 30 minutes, 50% of the score). Content is organized into 9 units spanning exploring one- and two-variable data, collecting data, probability and random variables, sampling distributions, and inference for proportions, means, chi-square, and slopes. A graphing calculator and formula sheet are permitted throughout, and the exam is scored 1-5, with a 3 or higher generally earning college credit. The 2025-26 US exam fee is about $99 (source: College Board, apstudents.collegeboard.org).

Sample AP Statistics Practice Questions

Try these sample questions to test your AP Statistics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A data set of test scores is strongly skewed to the right. Which pair of summary statistics best describes its center and spread?

A.Median and interquartile range

B.Mean and standard deviation

C.Mode and range

D.Mean and variance

Explanation: When a distribution is skewed or has outliers, the median and interquartile range (IQR) are preferred because they are resistant measures, unaffected by extreme values. The median marks the center and the IQR captures the spread of the middle 50% of the data.

2A normal distribution has mean 70 and standard deviation 5. Approximately what percent of values fall between 60 and 80?

A.About 68%

B.About 95%

C.About 99.7%

D.About 50%

Explanation: The interval from 60 to 80 spans two standard deviations on each side of the mean (70 plus or minus 10, where 10 = 2 times 5). By the empirical (68-95-99.7) rule, about 95% of values in a normal distribution lie within two standard deviations of the mean.

3A student scores 82 on an exam with mean 75 and standard deviation 4. What is the student's z-score?

A.-1.75

B.0.57

C.1.75

D.7.00

Explanation: A z-score is computed as (value minus mean) divided by standard deviation: (82 - 75) / 4 = 7 / 4 = 1.75. This means the score is 1.75 standard deviations above the mean.

4In a boxplot, an observation is typically flagged as an outlier if it lies beyond which boundary?

A.More than 1 standard deviation from the mean

B.More than 2 standard deviations from the median

C.Beyond the minimum or maximum value

D.Beyond Q1 - 1.5(IQR) or Q3 + 1.5(IQR)

Explanation: The standard 1.5 times IQR rule flags a value as an outlier if it falls below Q1 - 1.5(IQR) or above Q3 + 1.5(IQR), where IQR = Q3 - Q1. This is the rule used to draw fences in a modified boxplot.

5If every value in a data set is increased by 10, which statistic remains unchanged?

A.The standard deviation

B.The median

C.The mean

D.The maximum

Explanation: Adding a constant to every value shifts the center (mean, median, quartiles, min, max) up by that constant but does not change the spread. The standard deviation, IQR, and range are all measures of spread and remain unchanged under a shift.

6A distribution of household incomes has a mean of $68,000 and a median of $52,000. What does this difference most likely indicate?

A.The distribution is skewed to the left

B.The distribution is skewed to the right

C.The distribution is roughly symmetric

D.There must be a data entry error

Explanation: When the mean is noticeably larger than the median, the distribution is typically skewed to the right (positively skewed). A few very high incomes pull the mean upward while the median stays near the bulk of the data.

7Which graphical display is most appropriate for showing the distribution of a single quantitative variable?

A.Bar chart

B.Pie chart

C.Histogram

D.Segmented bar chart

Explanation: A histogram groups a quantitative variable into intervals (bins) and displays frequencies, making it ideal for showing the shape, center, and spread of one quantitative variable. Bar charts and pie charts are for categorical data.

8A value has a z-score of -1.5 in a standard normal distribution. Approximately what percentile does it correspond to?

A.About the 15th percentile

B.About the 50th percentile

C.About the 93rd percentile

D.About the 7th percentile

Explanation: Using the standard normal distribution, the area to the left of z = -1.5 is about 0.0668, so the value is at roughly the 7th percentile. About 7% of the data fall below it.

9Which measure of spread is most resistant to outliers?

A.Interquartile range

B.Standard deviation

C.Range

D.Variance

Explanation: The interquartile range (IQR = Q3 - Q1) measures the spread of the middle 50% of the data and ignores the extreme values, making it resistant to outliers. The range, standard deviation, and variance are all heavily affected by extremes.

10Two classes take the same test. Class A has mean 80 and standard deviation 4; Class B has mean 80 and standard deviation 10. Which statement is correct?

A.Class B scores are more consistent than Class A scores

B.Class A scores are more consistent than Class B scores

C.The two classes have identical distributions

D.Class A has a higher typical score than Class B

Explanation: A smaller standard deviation indicates less variability, so Class A (SD = 4) has more consistent, tightly clustered scores than Class B (SD = 10). Both classes have the same mean of 80, so neither is centered higher.

About the AP Statistics Exam

AP Statistics is a College Board Advanced Placement course and exam covering data analysis, experimental design, probability, and statistical inference, organized into 9 units. The exam has two equally weighted sections: Section I has 40 multiple-choice questions in 1 hour 30 minutes, and Section II has 6 free-response questions (five standard plus one investigative task) in another 1 hour 30 minutes. A graphing calculator and a formula sheet are provided, and the exam is scored on the 1-5 AP scale.

Questions

40 scored questions

Time Limit

3 hours (1h 30m multiple choice + 1h 30m free response)

Passing Score

Scored 1-5; a 3 or higher typically earns college credit

Exam Fee

About $99 per exam (US, 2025-26) (College Board)

AP Statistics Exam Content Outline

15-23%

Unit 1: Exploring One-Variable Data

Graphs and summary statistics, center and spread, outliers, the normal distribution, and z-scores.

5-7%

Unit 2: Exploring Two-Variable Data

Scatterplots, correlation, least-squares regression, residuals, and r-squared.

12-15%

Unit 3: Collecting Data

Sampling methods and bias, observational studies versus experiments, and randomization.

10-20%

Unit 4: Probability, Random Variables, and Distributions

Probability rules, conditional probability and independence, expected value, and binomial and geometric distributions.

7-12%

Unit 5: Sampling Distributions

Sampling variability, the Central Limit Theorem, and sampling distributions of proportions and means.

12-15%

Unit 6: Inference for Proportions

Confidence intervals and significance tests for one and two proportions, plus Type I and Type II errors.

10-18%

Unit 7: Inference for Means

t-procedures: confidence intervals and tests for one mean, paired means, and two means.

2-5%

Unit 8: Inference for Chi-Square

Chi-square tests for goodness of fit, homogeneity, and independence.

2-5%

Unit 9: Inference for Slopes

Confidence intervals and significance tests for a regression slope.

How to Pass the AP Statistics Exam

What You Need to Know

Passing score: Scored 1-5; a 3 or higher typically earns college credit
Exam length: 40 questions
Time limit: 3 hours (1h 30m multiple choice + 1h 30m free response)
Exam fee: About $99 per exam (US, 2025-26)

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

AP Statistics Study Tips from Top Performers

1Learn your graphing calculator's statistics functions cold: 1-Var Stats, regression, normalcdf/invNorm, and the test menus for proportions, means, and chi-square.

2On every inference question, state the procedure, check conditions (random, 10% rule, large counts or normality), then interpret in context — the AP rubric rewards context.

3Distinguish a confidence interval (estimating a parameter) from a significance test (evaluating evidence against a null hypothesis); know what a p-value and a confidence level actually mean.

4Memorize when to use z versus t: z for proportions, t for means; and know the conditions for the Central Limit Theorem to apply.

5Practice reading computer regression output and chi-square tables so you can pull standard error, slope, df, and test statistics quickly under time pressure.

Frequently Asked Questions

How many questions are on the AP Statistics exam and how long is it?

The AP Statistics exam is 3 hours long. Section I has 40 multiple-choice questions in 1 hour 30 minutes, and Section II has 6 free-response questions (five standard plus one investigative task) in another 1 hour 30 minutes. Each section is worth 50% of the score.

How is the AP Statistics exam scored?

AP Statistics is scored on the standard 1-5 AP scale. A score of 3 is typically considered passing, and many colleges grant credit or placement for a 3, 4, or 5, though individual policies vary.

Can I use a calculator on the AP Statistics exam?

Yes. A graphing calculator with statistics capabilities is permitted on both sections of the AP Statistics exam, and the College Board provides a formula sheet and tables with the exam.

What are the 9 units of AP Statistics?

The units are: Exploring One-Variable Data, Exploring Two-Variable Data, Collecting Data, Probability and Random Variables, Sampling Distributions, Inference for Proportions, Inference for Means, Inference for Chi-Square, and Inference for Slopes.

Which AP Statistics units are weighted most heavily?

Unit 1 (Exploring One-Variable Data) is the largest at 15-23%, followed by Unit 4 (Probability and Random Variables) at 10-20% and Unit 7 (Inference for Means) at 10-18%. Units 8 and 9 are the smallest at 2-5% each.

How much does the AP Statistics exam cost?

The standard AP exam fee in the US is about $99 per exam for 2025-26. Fee reductions are available for eligible students, and prices can differ for exams taken outside the United States.

100+ Free AP Statistics Practice Questions

AP Statistics