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AP Statistics Study Guide & Review

Formulate meaningful statistical questions, collect and analyze data, model real uncertainty, justify valid inference and communicate contextual conclusions across the redesigned five-Unit AP Statistics course.

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  1. 01Learn concepts
  2. 02Practise questions
  3. 03Review mistakes

Syllabus knowledge tree

Explore all five redesigned AP Statistics units

Navigate 55 Topics across the Effective Fall 2026 framework, from one-variable data and study design through probability, inference for proportions and means and regression analysis. Official MCQ ranges describe Section I only.

5
syllabus groups
55
mapped topics

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Explore the course units and topics. Sign in to open the full mastery workspace and see your progress.

1 Exploring One-Variable Data and Collecting Data
1.1 Introducing Statistics: What Can We Learn from Data?
1.2 Variables
1.3 Tabular Representation and Summary Statistics for One Categorical Variable
1.4 Graphical Representations for One Categorical Variable
1.5 Graphical Representations for One Quantitative Variable
1.6 Descriptions for One Quantitative Variable Distributions
1.7 Summary Statistics for One Quantitative Variable
1.8 Graphical Representations of Summary Statistics
1.9 Comparisons of the Distributions for One Quantitative Variable
1.10 The Investigative Question Revisited and Data Collection
1.11 Random Sampling
1.12 Potential Problems with Sampling
1.13 Experimental Design
2 Probability, Random Variables, and Probability Distributions
2.1 Tabular and Graphical Representations for the Distributions of Two Categorical Variables
2.2 Summary Statistics for Two Categorical Variables
2.3 Estimating Probabilities Using Simulation
2.4 Introduction to Probability
2.5 Mutually Exclusive Events
2.6 Conditional Probability
2.7 Independent Events and Unions of Events
2.8 Introduction to Random Variables and Probability Distributions
2.9 Parameters of Random Variables
2.10 The Binomial Distribution
2.11 The Normal Distribution
2.12 Sampling Distributions and the Central Limit Theorem
3 Inference for Categorical Data: Proportions
3.1 Estimators
3.2 Sampling Distributions for Sample Proportions
3.3 Constructing a Confidence Interval for a Population Proportion
3.4 Justifying a Claim Based on a Confidence Interval for a Population Proportion
3.5 Setting Up a Test for a Population Proportion
3.6 p-Values
3.7 Carrying Out a Test for a Population Proportion
3.8 Potential Errors When Performing Tests
3.9 Sampling Distributions for the Difference Between Two Population Proportions
3.10 Constructing a Confidence Interval for the Difference Between Two Population Proportions
3.11 Justifying a Claim Based on a Confidence Interval for the Difference Between Two Population Proportions
3.12 Setting Up a Test for the Difference Between Two Population Proportions
3.13 Carrying Out a Test for the Difference Between Two Population Proportions
3.14 Setting Up a Chi-Square Test for Homogeneity or Independence
3.15 Carrying Out a Chi-Square Test for Homogeneity or Independence
4 Inference for Quantitative Data: Means
4.1 Sampling Distributions for Sample Means
4.2 Constructing a Confidence Interval for a Population Mean
4.3 Justifying a Claim Based on a Confidence Interval for a Population Mean
4.4 Setting Up a Test for a Population Mean or Population Mean Difference
4.5 Carrying Out a Test for a Population Mean or Population Mean Difference
4.6 Sampling Distributions for the Difference Between Two Population Means
4.7 Constructing a Confidence Interval for the Difference Between Two Population Means
4.8 Justifying a Claim Based on a Confidence Interval for the Difference Between Two Population Means
4.9 Setting Up a Test for the Difference Between Two Population Means
4.10 Carrying Out a Test for the Difference Between Two Population Means
5 Regression Analysis
5.1 Graphical Representations Between Two Quantitative Variables
5.2 Correlation
5.3 Linear Regression Models
5.4 Residuals
5.5 Least-Squares Regression

How to study AP Statistics

AP Statistics begins with context, not calculator keys. Use the five-unit syllabus map to identify observational units, variables and their types; choose valid displays, summaries or probability models; then distinguish sampling from assignment and association from causation. Before inference, classify the parameter and procedure, verify conditions and state what the result means for the population and question.

Rebuild a weak idea in Concept and retrieve the procedure and conditions in Mastery before applying it in the Question Bank. Mark the first failure as variable type, display, design, probability model, procedure, condition, calculator interpretation or contextual conclusion. Repair that step and solve a matched problem without teaching removed nine-Unit content or treating output as a complete answer.

Practise statistics as a complete reasoning cycle

Connect context, design, simulation, conditions, calculation, calculator output and communication across distributions, probability, categorical and quantitative inference and regression analysis.

Data, variation and study design

Categorical and quantitative variables, distributions, sampling, bias, experiments and scope of conclusions

Identify observational units and variable types before choosing a display or summary. Describe shape, center, variation and unusual features in context. Keep random sampling separate from random assignment, then state whether the design supports generalization, causation, both or neither.

Practise data and design

Probability and simulation

Conditional probability, independence, random variables, binomial and normal models, sampling distributions and CLT

Define the random process, statistic and repetitions before simulating, then interpret the simulated distribution. Check conditions before using binomial or normal models, distinguish conditional from independent events and connect sampling-distribution shape, center and variability to repeated sampling.

Practise probability

Inference for proportions

One and two proportions, confidence intervals, significance tests, errors and chi-square procedures

Define the population parameter, classify one- or two-sample proportion work or chi-square homogeneity versus independence and verify conditions. State hypotheses or confidence target, interpret p-values or intervals in context and avoid converting statistical significance into a causal claim.

Practise categorical inference

Inference for means

One-sample, paired and two-sample t intervals and tests, sampling distributions and conditions

Decide whether quantitative observations are one sample, paired or independent groups before selecting a t procedure. Verify randomization, independence and distribution conditions, use calculator output carefully and write the interval or test conclusion about the named population parameter.

Practise quantitative inference

Regression and current FRQs

Scatterplots, correlation, least-squares models, residuals, typed responses and four redesigned question forms

Identify explanatory and response variables; describe form, direction, strength and unusual features; interpret slope, intercept and residuals in context and limit extrapolation and causal claims. Practise all four current typed FRQ forms using only procedures retained in the redesigned course.

Practise Statistics FRQs

Where to start

Begin with one known weak Topic or use a mixed diagnostic to reveal the earliest repeated design, model, procedure, condition, calculation or interpretation failure.

Choose your starting point

  1. I know the weak Topic

    Open its exact Unit and identify the context, variable type, target parameter, method, conditions and conclusion required.

    Browse all five Units

  2. I do not know what is weak

    Take a mixed diagnostic and classify the first repeated statistical reasoning error before reviewing broad formulas or procedures.

    Start a diagnostic

Choose the right starting point

  1. Frame the question

    Name context, observational units, variables and types, then choose a design, display, model or parameter that fits.

    Review a Concept

  2. Verify and analyze

    Check sampling, assignment and all procedure conditions before calculating, simulating or reading graphing-calculator output.

    Check Mastery

  3. Interpret and repair

    Answer the task verb in context, limit the claim to the evidence and correct the first failed reasoning step.

    Practise questions

AP Statistics exam format for 2027

The first redesigned exam is fully digital on May 11, 2027 in Session 2: 42 multiple-choice questions and four free-response questions, with 90 minutes for each section.

Paper / componentQuestionsTime% of grade
Section I: Multiple Choice42 questionsBluebook presents individual questions and shared-prompt sets with four choices, covering the five Units and four statistical practices.How to prepare: Practise identifying context and variables, choosing methods, checking conditions, using a graphing calculator and interpreting results efficiently rather than matching formulas by keywords.1 hour 30 minutes50%
Section II: Free Response4 questionsAll responses are typed in Bluebook: two Multi-Focus questions, one inference question using a test or confidence interval and one Multi-Focus question spanning content areas.How to prepare: Train all four equally weighted forms, answer task verbs directly, show statistical reasoning in keyboard-friendly notation and connect calculations, conditions and evidence to a contextual conclusion.1 hour 30 minutes50%

SourceCollege Board · AP Statistics ExamAP Statistics · May 2027 redesigned exam

AP Statistics questions

College Board redesigned AP Statistics for the 2026–27 school year and first examines that framework in May 2027. The current course consolidates required learning into five Units and removes several legacy procedures. Map every older nine-Unit guide to the current 5-Unit, 55-Topic tree before using it.

A graphing calculator with statistical capabilities is expected on both sections. Bluebook provides Desmos graphing calculator access, and students may bring up to two approved handheld graphing calculators. Nongraphing calculators are not allowed for the 2027 AP Statistics exam, even when they have statistical functions.

Yes. Formulas and tables are provided on both sections through a printed reference-information booklet and in Bluebook. At this review date, College Board had not yet posted the standalone 2027 booklet link and directed learners to the current CED appendix as the preview.

No. Public 2026-and-earlier sets use the legacy six-question format, so they are useful only for overlapping reasoning, conditions, calculations and interpretation. Use the redesigned CED samples and authorized AP Classroom resources for current forms, without copying secure questions or calling legacy sets exact 2027 mocks.

College Board now recommends successful completion of a first-year algebra course; the former second-year algebra prerequisite was removed. You still need confident algebra, percentages, graph reading and calculator use, but the course is non-calculus-based and emphasizes statistical reasoning and communication over symbolic manipulation alone.