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AP Statistics study notes
Short notes for every topic in AP Statistics, unit by unit, each with key terms and a sample AP-style question.
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Study AP Statistics free in APrepUnit 1: Exploring & Collecting Data
- 1.1Introducing Statistics: What Can We Learn from Data?
- 1.2The Language of Variation: Variables
- 1.3Representing a Categorical Variable with Tables
- 1.4Representing a Categorical Variable with Graphs
- 1.5Representing a Quantitative Variable with Graphs
- 1.6Describing the Distribution of a Quantitative Variable
- 1.7Summary Statistics for a Quantitative Variable
- 1.8Graphical Representations of Summary Statistics
- 1.9Comparing Distributions of a Quantitative Variable
- 1.10The Normal Distribution
Unit 2: Probability, Random Variables & Distributions
- 2.1Introducing Statistics: Random and Non-Random Patterns?
- 2.2Estimating Probabilities Using Simulation
- 2.3Introduction to Probability
- 2.4Mutually Exclusive Events
- 2.5Conditional Probability
- 2.6Independent Events and Unions of Events
- 2.7Introduction to Random Variables and Probability Distributions
- 2.8Mean and Standard Deviation of Random Variables
- 2.9Combining Random Variables
- 2.10Introduction to the Binomial Distribution
- 2.11Parameters for a Binomial Distribution
- 2.12The Geometric Distribution
Unit 3: Inference for Categorical Data: Proportions
- 3.1Introducing Statistics: Why Is My Sample Not Producing the Same Statistic as Others' Samples?
- 3.2Estimating a Population Proportion
- 3.3Introducing Statistics: Why Be Normal?
- 3.4Constructing a Confidence Interval for a Population Proportion
- 3.5Justifying a Claim Based on a Confidence Interval for a Population Proportion
- 3.6Setting Up a Test for a Population Proportion
- 3.7Interpreting p-Values
- 3.8Concluding a Test for a Population Proportion
- 3.9Potential Errors When Performing Tests
Unit 4: Inference for Quantitative Data: Means
- 4.1The Central Limit Theorem
- 4.2Confidence Intervals for the Mean of a Population
- 4.3Justifying a Claim Based on a Confidence Interval for a Mean
- 4.4Setting Up a Test for a Population Mean
- 4.5Interpreting p-Values
- 4.6Concluding a Test for a Population Mean
- 4.7Potential Errors When Performing Tests
- 4.8Confidence Intervals for the Difference Between Two Means
- 4.9Justifying a Claim Based on a Confidence Interval for a Difference of Two Means
- 4.10Setting Up a Test for the Difference of Two Population Means
- 4.11Carrying Out a Test for the Difference of Two Population Means
Unit 5: Regression Analysis
- 5.1Introducing Statistics: Do Two Variables Have a Meaningful Relationship?
- 5.2Estimating the Slope and Intercept in a Regression Model
- 5.3Assessing Model Fit
- 5.4Interpreting Coefficients in Linear Regression
- 5.5Interpreting Y-Intercept in Linear Regression
- 5.6Using Linear Regression to Make Predictions
- 5.7Assessing a Regression Model Using Residuals
- 5.8Using Residual Plots to Assess a Linear Model
- 5.9Transforming Data for a Linear Model
- 5.10Evaluating a Transformed Linear Model