AP Statistics

The course was revised for 2026-27: eight units became five, and the geometric distribution, combining random variables, the chi-square goodness-of-fit test and inference for slopes were removed. Math Ladder still teaches those topics in Probability and Statistics; they are left off this map.

1. Unit 1 Exploring One-Variable Data and Collecting Data

   • Categorical and Quantitative Variables
   • Displaying Categorical Data
   • Histograms and Shape
   • Mean, Median and Resistance
   • Standard Deviation
   • Five-Number Summary and Outliers
   • Comparing Distributions
   • Shifting and Scaling Data
   • Sampling Methods
   • Bias in Sampling and Surveys
   • Observational Studies and Experiments
   • Designing Experiments
   • Evaluating Statistical Reports

   The course's new topics on investigative questions are part of how our lessons frame data, not a topic of their own.

   Practice this unit8 mixed questions, with the steps after each

2. Unit 2 Probability, Random Variables, and Probability Distributions

   • Two-Way Tables and Relative Frequency
   • Conditional Probability from Two-Way Tables
   • Is the Model Consistent? Simulation
   • Events, Unions, Intersections and Complements
   • The Addition Rule
   • Conditional Probability
   • Independent Events
   • The General Multiplication Rule
   • Discrete Random Variables
   • Expected Value
   • Standard Deviation of a Random Variable
   • The Binomial Distribution
   • z-Scores and Percentiles
   • The Normal Curve and the 68-95-99.7 Rule
   • Areas under the Normal Curve
   • Finding Values from Percentiles
   • Sampling Distribution of a Mean and the CLT
   Practice this unit8 mixed questions, with the steps after each

3. Unit 3 Inference for Categorical Data: Proportions

   • Sampling Distribution of a Proportion
   • Confidence Intervals for a Proportion
   • Margin of Error and Sample Size
   • The Logic of Significance Tests
   • Testing a Claim about a Proportion
   • Type I and Type II Errors and Power
   • Two-Sample Intervals and Tests
   • Chi-Square Tests

   Intervals and tests for a difference of two proportions are inside Two-Sample Intervals and Tests. Chi-Square Tests also includes goodness of fit, which the revised course dropped.

   Practice this unit8 mixed questions, with the steps after each

4. Unit 4 Inference for Quantitative Data: Means

   • Sampling Distribution of a Mean and the CLT
   • Confidence Intervals for a Mean
   • Testing a Claim about a Mean
   • Two-Sample Intervals and Tests

   Paired differences have no topic of their own yet.

   Practice this unit8 mixed questions, with the steps after each

5. Unit 5 Regression Analysis

   • Describing Scatterplots
   • The Correlation Coefficient
   • The Least-Squares Regression Line
   • Interpreting Slope and Intercept
   • Residuals and Residual Plots
   • r² and the Quality of Fit
   • Outliers and Influential Points
   Practice this unit8 mixed questions, with the steps after each