AP
Statistics · AP · High school · Math
Full College Board Course and Exam Description framework for Statistics · AP, including course-scope topics not assessed on the AP Exam. Topics marked with an asterisk (*) are assessed on the exam. Click a topic for the full text and study materials.
Standards
Click a standard for the full text and study materials.
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
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
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
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
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
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
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
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
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 for Quantitative Data
* Assessed on the AP Exam (per the Course and Exam Description). All topics listed; unmarked topics are course scope only.
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AP Course and Exam Description (College Board)
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