AP Statistics

7 sections available · 39 chapters available

Free AP Statistics revision notes for AP (Advanced Placement) students. Each chapter covers a key topic with worked examples and practice prompts you can take straight into the thinka app.

Unit 1: Exploring One-Variable Data and Collecting Data

  • Statistical questions and variables

  • One categorical variable: tables and graphs

  • Graphical representations for one quantitative variable

  • Describing distributions of one quantitative variable

  • Summary statistics and relative position

  • Comparing distributions across groups

  • Random sampling and problems with sampling

  • Experimental design

Course Content

  • Unit 9: Inference for Quantitative Data: Slopes

Unit 2: Probability, Random Variables, and Probability Distributions

  • Two categorical variables: tables and summary statistics

  • Simulation and introduction to probability

  • Mutually exclusive events, unions, and independence

  • Conditional probability

  • Random variables and their parameters

  • The binomial distribution

  • The normal distribution

  • Sampling distributions and the Central Limit Theorem

Unit 3: Inference for Categorical Data: Proportions

  • Estimators and sampling distributions for sample proportions

  • Confidence intervals for a population proportion

  • Significance tests for a population proportion

  • p-values, Type I and Type II errors

  • Confidence intervals for a difference between two proportions

  • Tests for a difference between two proportions

  • Chi-square tests for homogeneity or independence

Unit 4: Inference for Quantitative Data: Means

  • Sampling distributions for sample means

  • Confidence intervals for a mean or mean difference

  • Tests for a mean or mean difference

  • Sampling distributions for a difference between two means

  • Confidence intervals for a difference between two means

  • Tests for a difference between two means

Unit 5: Regression Analysis

  • Scatterplots and describing association

  • Correlation

  • Linear regression models and prediction

  • Residuals and residual plots

  • Least-squares regression and r-squared

Statistical Practices and Exam Skills

  • Formulating an investigative question

  • Identifying and justifying data collection methods

  • Choosing an inference method and verifying conditions

  • Interpreting results and justifying claims in context

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