AP Statistics Syllabus

The curriculum builds from fundamental data exploration to the principles of statistical inference. While the units are distinct, the concepts are cumulative. Skills learned in early units, like describing distributions and understanding probability, are essential for the inference tasks that make up a large portion of the exam. The free-response section requires you to justify your reasoning and communicate your statistical thinking clearly, so understanding the concepts is as important as performing the calculations.

Exploring and Collecting Data

• Exploring One-Variable Data Describing distributions of quantitative data using graphs and summary statistics.
• Exploring Two-Variable Data Modeling linear relationships between two quantitative variables using regression.
• Collecting Data Understanding methods for data collection, including sampling and experimental design.

Probability and Distributions

• Probability Calculating probabilities of events and understanding concepts like conditional probability.
• Random Variables Working with discrete and continuous random variables, including the binomial and geometric distributions.
• Sampling Distributions Describing the behavior of sample statistics when random samples are repeatedly taken.

Statistical Inference

• Estimating Proportions Constructing and interpreting confidence intervals for a population proportion.
• Significance Tests for Proportions Performing hypothesis tests for a single proportion or the difference between two.
• Inference for Quantitative Data Using t-distributions for confidence intervals and significance tests for means.
• Chi-Square and Regression Inference Testing for goodness of fit, homogeneity, independence, and inference for regression slope.