AP®StatisticsCollege BoardRevision Notes

College Board AP® Statistics Revision Notes

Concise resources for the College Board AP® Statistics course.

Syllabus Edition

First teaching 2026

·

First exams 2027

Course Overview

Statistical Practices

Table for Standard Normal Probabilities

Table for t-Distribution Critical Values

Table for Chi-Square Critical Values

Unit 1: Exploring One-Variable Data and Collecting Data

Components of a Statistical Study

Describing Variables

Parameters & Statistics

Investigative Questions

Measures of Center

Measures of Position

Measures of Variability

Standardized Scores

Tables & Relative Frequency

Shape & Skewness of Distributions

Outliers & Resistant Measures

Five-Number Summary & Boxplots

Comparing Data using Summary Statistics

Bar Charts & Histograms

Dotplots & Stemplots

Cumulative Graphs

Comparing Univariate Graphs

Introduction to Sampling

Simple Random Sampling (SRS)

Random Sampling Methods

Non-random (Biased) Sampling Methods

Introduction to Experiments

Well-Designed Experiments

Control Groups, Placebos & Blind Experiments

Completely Randomized Design

Randomized Block & Matched Pairs Design

Unit 2: Probability, Random Variables, and Probability Distributions

Two-Way Tables & Relative Frequencies

Bar Graphs & Mosaic Plots

Estimating Probability using Relative Frequency

Probabilities of Single Events

Introduction to Combined Events

Addition Rule & Mutually Exclusive Events

Conditional Probability

Multiplication Rule & Independent Events

Probabilities of Combined Events using Tree Diagrams

Probabilities of Combined Events using the Rules

Probability Distributions for Discrete Random Variables

Cumulative Probability Distributions for Discrete Random Variables

Mean & Standard Deviation of a Discrete Random Variable

Introduction to Binomial Distributions

Probabilities for Binomial Distributions

Properties of Normal Distributions

Comparing Normal Distributions

Finding Probabilities from Normal Distributions

Inverse Normal Calculations

Estimating Parameters of Normal Distributions

Introduction to Sampling Distributions

The Central Limit Theorem

Unit 3: Inference for Categorical Data: Proportions

Introduction to Hypothesis Testing

Introduction to Confidence Intervals

Biased & Unbiased Estimators

Sampling Distributions for Sample Proportions

Hypothesis Tests for Population Proportions

Confidence Intervals for Population Proportions

Sampling Distributions for Differences in Sample Proportions

Hypothesis Tests for Differences in Population Proportions

Confidence Intervals for Differences in Population Proportions

Type I & Type II Errors

Probabilities of Errors

Power of a Test

The Chi-Square Distribution

Tests for Independence

Tests for Homogeneity

Unit 4: Inference for Quantitative Data: Means

The t-distribution

t-scores versus z-scores

Sampling Distributions for Sample Means

Hypothesis Tests for Population Means

Confidence Intervals for Population Means

Sampling Distributions for Differences in Sample Means

Hypothesis Tests for Differences in Population Means

Confidence Intervals for Differences in Population Means

Hypothesis Tests for Differences in Matched Pairs

Confidence Intervals for Differences in Matched Pairs

Unit 5: Regression Analysis

Explanatory & Response Variables

Association & Correlation Coefficients

Interpolation & Extrapolation using Linear Models

The Least-Squares Regression Line

The Coefficient of Determination

Study tools

Related links