AP Statistics
College-level statistics aligned to the College Board AP Statistics curriculum. Covers exploring data, collecting data, probability, sampling distributions, and statistical inference with the rigor to score a 5.
8 units and 42 lessons, for Grade 11 to Grade 12. Free on Slate.
Unit 1: Exploring One-Variable Data
Describe, display, and compare distributions of quantitative and categorical data.
- Categorical vs. Quantitative Variables (10 min)
- Displaying Distributions: Dotplots, Histograms, Stemplots, and Boxplots (10 min)
- Describing Distributions: SOCS (10 min)
- Measures of Center: Mean and Median (10 min)
- Measures of Spread: Range, IQR, and Standard Deviation (10 min)
- The Normal Distribution and the Empirical Rule (10 min)
- Z-Scores, Percentiles, and the Normal Table (10 min)
Unit 2: Exploring Two-Variable Data
Analyze relationships between two variables through graphical and numerical methods.
Unit 3: Collecting Data
Design studies and experiments that produce valid, unbiased data, the foundation of all inference.
- Observational Studies vs. Experiments (10 min)
- Sampling Methods and Bias (10 min)
- Principles of Experimental Design (10 min)
- Scope of Inference (10 min)
Unit 4: Probability
Build the probability foundations that make statistical inference possible.
- Basic Probability Rules (10 min)
- Conditional Probability and Independence (10 min)
- The Multiplication Rule and Tree Diagrams (10 min)
- Discrete Random Variables: Mean and Standard Deviation (10 min)
- The Binomial Distribution (10 min)
- The Geometric Distribution (10 min)
Unit 5: Sampling Distributions
Understand how statistics vary from sample to sample: the bridge between probability and inference.
Unit 6: Inference for Categorical Data: Proportions
Construct confidence intervals and conduct significance tests for one and two proportions.
- Introduction to Confidence Intervals (10 min)
- One-Proportion z-Interval (10 min)
- Introduction to Significance Tests (10 min)
- One-Proportion z-Test (10 min)
- Type I Errors, Type II Errors, and Power (10 min)
- Two-Proportion z-Interval and z-Test (10 min)
- Chi-Square Goodness-of-Fit Test (10 min)
- Chi-Square Test for Independence and Homogeneity (10 min)
Unit 7: Inference for Quantitative Data: Means
Apply t-procedures for one-sample, paired, and two-sample inference on means.
- One-Sample t-Interval (10 min)
- One-Sample t-Test (10 min)
- Paired Data and the Paired t-Test (10 min)
- Two-Sample t-Interval and t-Test (10 min)
Unit 8: Inference for Regression
Apply significance tests and confidence intervals to the slope of a regression line.
- Conditions for Regression Inference (10 min)
- The Sampling Distribution of the Slope (10 min)
- Confidence Interval for the Slope (10 min)
- Significance Test for the Slope (10 min)