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Chapters

This textbook is organized into 19 chapters covering 300 concepts from the AP Statistics curriculum.

Chapter Overview

  1. Introduction to Statistics - Foundations of statistics including data types, variables, populations, and samples.
  2. Displaying Categorical Data - Frequency tables, bar graphs, pie charts, and two-way tables.
  3. Displaying Quantitative Data - Histograms, stemplots, dotplots, and describing distributions.
  4. Numerical Summaries - Measures of center, spread, quartiles, and boxplots.
  5. Standardization and Normal Distributions - Z-scores, normal curves, and probability calculations.
  6. Scatterplots and Association - Bivariate relationships, correlation, and strength of association.
  7. Linear Regression - Least squares regression, residuals, and coefficient of determination.
  8. Causation and Study Design - Lurking variables, confounding, observational studies vs experiments.
  9. Probability Fundamentals - Basic probability rules, events, and probability calculations.
  10. Conditional Probability and Independence - Conditional probability, tree diagrams, and Bayes' intuition.
  11. Sampling and Bias - Sampling methods, sources of bias, and survey design.
  12. Experimental Design - Treatments, randomization, blinding, and experimental principles.
  13. Random Variables - Discrete random variables, expected value, binomial and geometric distributions.
  14. Sampling Distributions - Sampling variability, Central Limit Theorem, and distribution of sample statistics.
  15. Confidence Intervals - Point estimates, margin of error, and interpreting confidence intervals.
  16. Hypothesis Testing - Null and alternative hypotheses, p-values, Type I and II errors.
  17. Inference for Means - T-procedures, one-sample and two-sample tests for means.
  18. Chi-Square and Regression Inference - Goodness-of-fit, homogeneity, independence tests, and inference for slope.
  19. Communication and Synthesis - Statistical and practical significance, effect sizes, and AP exam strategies.

How to Use This Textbook

Each chapter builds on concepts from previous chapters. The learning graph ensures that prerequisite concepts are always introduced before they are needed. Work through the chapters in order for the most effective learning experience.

Note: Each chapter includes a list of concepts covered. Make sure to complete prerequisites before moving to advanced chapters.