AP Statistics

Complete Course Modules & Topic Breakdown
Unit 1: Exploring One-Variable Data
  • 1.1 Introducing Statistics: What Can We Learn from Data?
  • 1.2 The Language of Variation: Variables
  • 1.3 Representing a Categorical Variable with Tables
  • 1.4 Representing a Categorical Variable with Graphs
  • 1.5 Representing a Quantitative Variable with Graphs
  • 1.6 Describing the Distribution of a Quantitative Variable
  • 1.7 Summary Statistics for a Quantitative Variable
  • 1.8 Graphical Representations of Summary Statistics
  • 1.9 Comparing Distributions of a Quantitative Variable
  • 1.10 The Normal Distribution
📝 Practice Unit 1
Unit 2: Exploring Two-Variable Data
  • 2.1 Introducing Statistics: Are Variables Related?
  • 2.2 Representing Two Categorical Variables
  • 2.3 Statistics for Two Categorical Variables
  • 2.4 Representing the Relationship Between Two Quantitative Variables
  • 2.5 Correlation
  • 2.6 Linear Regression Models
  • 2.7 Residuals
  • 2.8 Least Squares Regression
  • 2.9 Analyzing Departures from Linearity
📝 Practice Unit 2
Unit 3: Collecting Data
  • 3.1 Introducing Statistics: Do the Data We Collected Tell the Truth?
  • 3.2 Introduction to Planning a Study
  • 3.3 Random Sampling and Data Collection
  • 3.4 Potential Problems with Sampling
  • 3.5 Introduction to Experimental Design
  • 3.6 Selecting an Experimental Design
  • 3.7 Inference and Experiments
📝 Practice Unit 3
Unit 4: Probability, Random Variables, and Probability Distributions
  • 4.1 Introducing Statistics: Random and Non-Random Patterns?
  • 4.2 Estimating Probabilities Using Simulation
  • 4.3 Introduction to Probability
  • 4.4 Mutually Exclusive Events
  • 4.5 Conditional Probability
  • 4.6 Independent Events and Unions of Events
  • 4.7 Introduction to Random Variables and Probability Distributions
  • 4.8 Mean and Standard Deviation of Random Variables
  • 4.9 Combining Random Variables
  • 4.10 Introduction to the Binomial Distribution
  • 4.11 Parameters for a Binomial Distribution
  • 4.12 The Geometric Distribution
📝 Practice Unit 4
Unit 5: Sampling Distributions
  • 5.1 Introducing Statistics: Why Is My Sample Not Like Yours?
  • 5.2 The Normal Distribution, Revisited
  • 5.3 The Central Limit Theorem
  • 5.4 Biased and Unbiased Point Estimates
  • 5.5 Sampling Distributions for Sample Proportions
  • 5.6 Sampling Distributions for Differences in Sample Proportions
  • 5.7 Sampling Distributions for Sample Means
  • 5.8 Sampling Distributions for Differences in Sample Means
📝 Practice Unit 5
Unit 6: Inference for Categorical Data: Proportions
  • 6.1 Introducing Statistics: Why Be Normal?
  • 6.2 Constructing a Confidence Interval for a Population Proportion
  • 6.3 Justifying a Claim Based on a Confidence Interval for a Population Proportion
  • 6.4 Setting Up a Test for a Population Proportion
  • 6.5 Interpreting p-Values
  • 6.6 Concluding a Test for a Population Proportion
  • 6.7 Potential Errors When Performing Tests
  • 6.8 Confidence Intervals for the Difference of Two Proportions
  • 6.9 Justifying a Claim Based on a Confidence Interval for a Difference of Population Proportions
  • 6.10 Setting Up a Test for the Difference of Two Population Proportions
  • 6.11 Carrying Out a Test for the Difference of Two Population Proportions
📝 Practice Unit 6
Unit 7: Inference for Quantitative Data: Means
  • 7.1 Introducing Statistics: Should I Worry About Error?
  • 7.2 Constructing a Confidence Interval for a Population Mean
  • 7.3 Justifying a Claim About a Population Mean Based on a Confidence Interval
  • 7.4 Setting Up a Test for a Population Mean
  • 7.5 Carrying Out a Test for a Population Mean
  • 7.6 Confidence Intervals for the Difference of Two Means
  • 7.7 Justifying a Claim About the Difference of Two Means Based on a Confidence Interval
  • 7.8 Setting Up a Test for the Difference of Two Population Means
  • 7.9 Carrying Out a Test for the Difference of Two Population Means
  • 7.10 Skills Focus: Selecting, Implementing, and Communicating Inference Procedures
📝 Practice Unit 7
Unit 8: Inference for Categorical Data: Chi-Square
  • 8.1 Introducing Statistics: Are My Results Unexpected?
  • 8.2 Setting Up a Chi-Square Goodness of Fit Test
  • 8.3 Carrying Out a Chi-Square Test for Goodness of Fit
  • 8.4 Expected Counts in Two-Way Tables
  • 8.5 Setting Up a Chi-Square Test for Homogeneity or Independence
  • 8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence
  • 8.7 Skills Focus: Selecting an Appropriate Inference Procedure for Categorical Data
📝 Practice Unit 8
Unit 9: Inference for Quantitative Data: Slopes
  • 9.1 Introducing Statistics: Do Those Points Align?
  • 9.2 Confidence Intervals for the Slope of a Regression Model
  • 9.3 Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval
  • 9.4 Setting Up a Test for the Slope of a Regression Model
  • 9.5 Carrying Out a Test for the Slope of a Regression Model
  • 9.6 Skills Focus: Selecting an Appropriate Inference Procedure
📝 Practice Unit 9