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AP Statistics
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- 1Exploring One-Variable Data
- 2Exploring Two-Variable Data
- 3Collecting Data
- 4Probability, Random Variables, and Probability Distributions
- 5Sampling Distributions
- 6Inference for Categorical Data: Proportions
- 7Inference for Quantitative Data: Means
- 8Inference for Categorical Data: Chi-Square
- 9Inference for Quantitative Data: Slopes
Teaching this subject? Everything for the classroom in one place →
Downloads
- Course & Exam Description 2-up
- Revision Sheet 2-up
- Syllabus Checklist 2-up
- Scheme of Work
- Exam Technique 2-up
- Command Words — A3 poster
- Lesson Plans — one page per topic 2-up
- Class Mark Book
1. Exploring One-Variable Data 30 files
Handouts
Presentation slides
Exercise walk-through slides
- 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 Past-paper walk-through
- 1.7 Summary Statistics for a Quantitative Variable Past-paper walk-through
- 1.8 Graphical Representations of Summary Statistics Past-paper walk-through
- 1.9 Comparing Distributions of a Quantitative Variable Past-paper walk-through
- 1.10 The Normal Distribution Past-paper walk-through
Vocabulary
Topic Quizzes
Exercise sheets
- 1.1 Introducing Statistics: What Can We Learn from Data? 2-up
- 1.2 The Language of Variation: Variables 2-up
- 1.3 Representing a Categorical Variable with Tables 2-up
- 1.4 Representing a Categorical Variable with Graphs 2-up
- 1.5 Representing a Quantitative Variable with Graphs 2-up
- 1.6 Describing the Distribution of a Quantitative Variable 2-up
- 1.7 Summary Statistics for a Quantitative Variable 2-up
- 1.8 Graphical Representations of Summary Statistics 2-up
- 1.9 Comparing Distributions of a Quantitative Variable 2-up
- 1.10 The Normal Distribution 2-up
Past Paper Questions
- 1.6 Describing the Distribution of a Quantitative Variable 2-upAnswers2-up
- 1.7 Summary Statistics for a Quantitative Variable 2-upAnswers2-up
- 1.8 Graphical Representations of Summary Statistics 2-upAnswers2-up
- 1.9 Comparing Distributions of a Quantitative Variable 2-upAnswers2-up
- 1.10 The Normal Distribution 2-upAnswers2-up
Unit Tests
2. Exploring Two-Variable Data 32 files
Handouts
Presentation slides
Exercise walk-through slides
- 2.1 Introducing Statistics: Are Variables Related? Past-paper walk-through
- 2.2 Representing Two Categorical Variables Past-paper walk-through
- 2.3 Statistics for Two Categorical Variables Past-paper walk-through
- 2.4 Representing the Relationship Between Two Quantitative Variables Past-paper walk-through
- 2.5 Correlation Past-paper walk-through
- 2.6 Linear Regression Models Past-paper walk-through
- 2.7 Residuals Past-paper walk-through
- 2.8 Least Squares Regression Past-paper walk-through
- 2.9 Analyzing Departures from Linearity Past-paper walk-through
Vocabulary
Topic Quizzes
Exercise sheets
- 2.1 Introducing Statistics: Are Variables Related? 2-up
- 2.2 Representing Two Categorical Variables 2-up
- 2.3 Statistics for Two Categorical Variables 2-up
- 2.4 Representing the Relationship Between Two Quantitative Variables 2-up
- 2.5 Correlation 2-up
- 2.6 Linear Regression Models 2-up
- 2.7 Residuals 2-up
- 2.8 Least Squares Regression 2-up
- 2.9 Analyzing Departures from Linearity 2-up
Past Paper Questions
- 2.1 Introducing Statistics: Are Variables Related? 2-upAnswers2-up
- 2.2 Representing Two Categorical Variables 2-upAnswers2-up
- 2.3 Statistics for Two Categorical Variables 2-upAnswers2-up
- 2.4 Representing the Relationship Between Two Quantitative Variables 2-upAnswers2-up
- 2.5 Correlation 2-upAnswers2-up
- 2.6 Linear Regression Models 2-upAnswers2-up
- 2.7 Residuals 2-upAnswers2-up
- 2.8 Least Squares Regression 2-upAnswers2-up
- 2.9 Analyzing Departures from Linearity 2-upAnswers2-up
Unit Tests
3. Collecting Data 26 files
Handouts
Presentation slides
Exercise walk-through slides
- 3.1 Introducing Statistics: Do the Data We Collected Tell the Truth? Past-paper walk-through
- 3.2 Introduction to Planning a Study Past-paper walk-through
- 3.3 Random Sampling and Data Collection Past-paper walk-through
- 3.4 Potential Problems with Sampling Past-paper walk-through
- 3.5 Introduction to Experimental Design Past-paper walk-through
- 3.6 Selecting an Experimental Design Past-paper walk-through
- 3.7 Inference and Experiments Past-paper walk-through
Vocabulary
Topic Quizzes
Exercise sheets
- 3.1 Introducing Statistics: Do the Data We Collected Tell the Truth? 2-up
- 3.2 Introduction to Planning a Study 2-up
- 3.3 Random Sampling and Data Collection 2-up
- 3.4 Potential Problems with Sampling 2-up
- 3.5 Introduction to Experimental Design 2-up
- 3.6 Selecting an Experimental Design 2-up
- 3.7 Inference and Experiments 2-up
Past Paper Questions
- 3.1 Introducing Statistics: Do the Data We Collected Tell the Truth? 2-upAnswers2-up
- 3.2 Introduction to Planning a Study 2-upAnswers2-up
- 3.3 Random Sampling and Data Collection 2-upAnswers2-up
- 3.4 Potential Problems with Sampling 2-upAnswers2-up
- 3.5 Introduction to Experimental Design 2-upAnswers2-up
- 3.6 Selecting an Experimental Design 2-upAnswers2-up
- 3.7 Inference and Experiments 2-upAnswers2-up
Unit Tests
4. Probability, Random Variables, and Probability Distributions 41 files
Presentation slides
Exercise walk-through slides
- 4.1 Introducing Statistics: Random and Non-Random Patterns? Past-paper walk-through
- 4.2 Estimating Probabilities Using Simulation Past-paper walk-through
- 4.3 Introduction to Probability Past-paper walk-through
- 4.4 Mutually Exclusive Events Past-paper walk-through
- 4.5 Conditional Probability Past-paper walk-through
- 4.6 Independent Events and Unions of Events Past-paper walk-through
- 4.7 Introduction to Random Variables and Probability Distributions Past-paper walk-through
- 4.8 Mean and Standard Deviation of Random Variables Past-paper walk-through
- 4.9 Combining Random Variables Past-paper walk-through
- 4.10 Introduction to the Binomial Distribution Past-paper walk-through
- 4.11 Parameters for a Binomial Distribution Past-paper walk-through
- 4.12 The Geometric Distribution Past-paper walk-through
Exercise sheets
- 4.1 Introducing Statistics: Random and Non-Random Patterns? 2-up
- 4.2 Estimating Probabilities Using Simulation 2-up
- 4.3 Introduction to Probability 2-up
- 4.4 Mutually Exclusive Events 2-up
- 4.5 Conditional Probability 2-up
- 4.6 Independent Events and Unions of Events 2-up
- 4.7 Introduction to Random Variables and Probability Distributions 2-up
- 4.8 Mean and Standard Deviation of Random Variables 2-up
- 4.9 Combining Random Variables 2-up
- 4.10 Introduction to the Binomial Distribution 2-up
- 4.11 Parameters for a Binomial Distribution 2-up
- 4.12 The Geometric Distribution 2-up
Past Paper Questions
- 4.1 Introducing Statistics: Random and Non-Random Patterns? 2-upAnswers2-up
- 4.2 Estimating Probabilities Using Simulation 2-upAnswers2-up
- 4.3 Introduction to Probability 2-upAnswers2-up
- 4.4 Mutually Exclusive Events 2-up
- 4.5 Conditional Probability 2-upAnswers2-up
- 4.6 Independent Events and Unions of Events 2-upAnswers2-up
- 4.7 Introduction to Random Variables and Probability Distributions 2-upAnswers2-up
- 4.8 Mean and Standard Deviation of Random Variables 2-upAnswers2-up
- 4.9 Combining Random Variables 2-upAnswers2-up
- 4.10 Introduction to the Binomial Distribution 2-upAnswers2-up
- 4.11 Parameters for a Binomial Distribution 2-upAnswers2-up
- 4.12 The Geometric Distribution 2-upAnswers2-up
5. Sampling Distributions 25 files
Handouts
Presentation slides
Exercise walk-through slides
- 5.1 Introducing Statistics: Why Is My Sample Not Like Yours? Past-paper walk-through
- 5.2 The Normal Distribution, Revisited
- 5.3 The Central Limit Theorem
- 5.4 Biased and Unbiased Point Estimates Past-paper walk-through
- 5.5 Sampling Distributions for Sample Proportions
- 5.6 Sampling Distributions for Differences in Sample Proportions
- 5.7 Sampling Distributions for Sample Means Past-paper walk-through
- 5.8 Sampling Distributions for Differences in Sample Means Past-paper walk-through
Vocabulary
Topic Quizzes
Exercise sheets
- 5.1 Introducing Statistics: Why Is My Sample Not Like Yours? 2-up
- 5.2 The Normal Distribution, Revisited 2-up
- 5.3 The Central Limit Theorem 2-up
- 5.4 Biased and Unbiased Point Estimates 2-up
- 5.5 Sampling Distributions for Sample Proportions 2-up
- 5.6 Sampling Distributions for Differences in Sample Proportions 2-up
- 5.7 Sampling Distributions for Sample Means 2-up
- 5.8 Sampling Distributions for Differences in Sample Means 2-up
Past Paper Questions
Unit Tests
6. Inference for Categorical Data: Proportions 35 files
Presentation slides
Exercise walk-through slides
- 6.1 Introducing Statistics: Why Be Normal?
- 6.2 Constructing a Confidence Interval for a Population Proportion Past-paper walk-through
- 6.3 Justifying a Claim Based on a Confidence Interval for a Population Proportion Past-paper walk-through
- 6.4 Setting Up a Test for a Population Proportion Past-paper walk-through
- 6.5 Interpreting p-Values
- 6.6 Concluding a Test for a Population Proportion Past-paper walk-through
- 6.7 Potential Errors When Performing Tests Past-paper walk-through
- 6.8 Confidence Intervals for the Difference of Two Proportions Past-paper walk-through
- 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 Past-paper walk-through
- 6.11 Carrying Out a Test for the Difference of Two Population Proportions Past-paper walk-through
Topic Quizzes
Exercise sheets
- 6.1 Introducing Statistics: Why Be Normal? 2-up
- 6.2 Constructing a Confidence Interval for a Population Proportion 2-up
- 6.3 Justifying a Claim Based on a Confidence Interval for a Population Proportion 2-up
- 6.4 Setting Up a Test for a Population Proportion 2-up
- 6.5 Interpreting p-Values 2-up
- 6.6 Concluding a Test for a Population Proportion 2-up
- 6.7 Potential Errors When Performing Tests 2-up
- 6.8 Confidence Intervals for the Difference of Two Proportions 2-up
- 6.9 Justifying a Claim Based on a Confidence Interval for a Difference of Population Proportions 2-up
- 6.10 Setting Up a Test for the Difference of Two Population Proportions 2-up
- 6.11 Carrying Out a Test for the Difference of Two Population Proportions 2-up
Past Paper Questions
- 6.2 Constructing a Confidence Interval for a Population Proportion 2-upAnswers2-up
- 6.3 Justifying a Claim Based on a Confidence Interval for a Population Proportion 2-upAnswers2-up
- 6.4 Setting Up a Test for a Population Proportion 2-upAnswers2-up
- 6.6 Concluding a Test for a Population Proportion 2-upAnswers2-up
- 6.7 Potential Errors When Performing Tests 2-upAnswers2-up
- 6.8 Confidence Intervals for the Difference of Two Proportions 2-upAnswers2-up
- 6.10 Setting Up a Test for the Difference of Two Population Proportions 2-upAnswers2-up
- 6.11 Carrying Out a Test for the Difference of Two Population Proportions 2-upAnswers2-up
7. Inference for Quantitative Data: Means 31 files
Presentation slides
Exercise walk-through slides
- 7.1 Introducing Statistics: Should I Worry About Error?
- 7.2 Constructing a Confidence Interval for a Population Mean Past-paper walk-through
- 7.3 Justifying a Claim About a Population Mean Based on a Confidence Interval Past-paper walk-through
- 7.4 Setting Up a Test for a Population Mean Past-paper walk-through
- 7.5 Carrying Out a Test for a Population Mean Past-paper walk-through
- 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 Past-paper walk-through
- 7.9 Carrying Out a Test for the Difference of Two Population Means Past-paper walk-through
- 7.10 Skills Focus: Selecting, Implementing, and Communicating Inference Procedures
Vocabulary
Topic Quizzes
Exercise sheets
- 7.1 Introducing Statistics: Should I Worry About Error? 2-up
- 7.2 Constructing a Confidence Interval for a Population Mean 2-up
- 7.3 Justifying a Claim About a Population Mean Based on a Confidence Interval 2-up
- 7.4 Setting Up a Test for a Population Mean 2-up
- 7.5 Carrying Out a Test for a Population Mean 2-up
- 7.6 Confidence Intervals for the Difference of Two Means 2-up
- 7.7 Justifying a Claim About the Difference of Two Means Based on a Confidence Interval 2-up
- 7.8 Setting Up a Test for the Difference of Two Population Means 2-up
- 7.9 Carrying Out a Test for the Difference of Two Population Means 2-up
- 7.10 Skills Focus: Selecting, Implementing, and Communicating Inference Procedures 2-up
Past Paper Questions
- 7.2 Constructing a Confidence Interval for a Population Mean 2-upAnswers2-up
- 7.3 Justifying a Claim About a Population Mean Based on a Confidence Interval 2-upAnswers2-up
- 7.4 Setting Up a Test for a Population Mean 2-upAnswers2-up
- 7.5 Carrying Out a Test for a Population Mean 2-upAnswers2-up
- 7.8 Setting Up a Test for the Difference of Two Population Means 2-upAnswers2-up
- 7.9 Carrying Out a Test for the Difference of Two Population Means 2-upAnswers2-up
8. Inference for Categorical Data: Chi-Square 21 files
Presentation slides
Exercise walk-through slides
- 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 Past-paper walk-through
- 8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence Past-paper walk-through
- 8.7 Skills Focus: Selecting an Appropriate Inference Procedure for Categorical Data
Topic Quizzes
Exercise sheets
- 8.1 Introducing Statistics: Are My Results Unexpected? 2-up
- 8.2 Setting Up a Chi-Square Goodness of Fit Test 2-up
- 8.3 Carrying Out a Chi-Square Test for Goodness of Fit 2-up
- 8.4 Expected Counts in Two-Way Tables 2-up
- 8.5 Setting Up a Chi-Square Test for Homogeneity or Independence 2-up
- 8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence 2-up
- 8.7 Skills Focus: Selecting an Appropriate Inference Procedure for Categorical Data 2-up
Past Paper Questions
9. Inference for Quantitative Data: Slopes 18 files
Presentation slides
Exercise walk-through slides
- 9.1 Introducing Statistics: Do Those Points Align?
- 9.2 Confidence Intervals for the Slope of a Regression Model Past-paper walk-through
- 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 Past-paper walk-through
- 9.6 Skills Focus: Selecting an Appropriate Inference Procedure
Vocabulary
Topic Quizzes
Exercise sheets
- 9.1 Introducing Statistics: Do Those Points Align? 2-up
- 9.2 Confidence Intervals for the Slope of a Regression Model 2-up
- 9.3 Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval 2-up
- 9.4 Setting Up a Test for the Slope of a Regression Model 2-up
- 9.5 Carrying Out a Test for the Slope of a Regression Model 2-up
- 9.6 Skills Focus: Selecting an Appropriate Inference Procedure 2-up
2026 1 files
- 2026 Questions
- AP Statistics — Question index 2-up
- 1.6 Describing the Distribution of a Quantitative Variable 2-upAnswers2-up
- 1.7 Summary Statistics for a Quantitative Variable 2-upAnswers2-up
- 1.8 Graphical Representations of Summary Statistics 2-upAnswers2-up
- 1.9 Comparing Distributions of a Quantitative Variable 2-upAnswers2-up
- 1.10 The Normal Distribution 2-upAnswers2-up
- 2.1 Introducing Statistics: Are Variables Related? 2-upAnswers2-up
- 2.2 Representing Two Categorical Variables 2-upAnswers2-up
- 2.3 Statistics for Two Categorical Variables 2-upAnswers2-up
- 2.4 Representing the Relationship Between Two Quantitative Variables 2-upAnswers2-up
- 2.5 Correlation 2-upAnswers2-up
- 2.6 Linear Regression Models 2-upAnswers2-up
- 2.7 Residuals 2-upAnswers2-up
- 2.8 Least Squares Regression 2-upAnswers2-up
- 2.9 Analyzing Departures from Linearity 2-upAnswers2-up
- 3.1 Introducing Statistics: Do the Data We Collected Tell the Truth? 2-upAnswers2-up
- 3.2 Introduction to Planning a Study 2-upAnswers2-up
- 3.3 Random Sampling and Data Collection 2-upAnswers2-up
- 3.4 Potential Problems with Sampling 2-upAnswers2-up
- 3.5 Introduction to Experimental Design 2-upAnswers2-up
- 3.6 Selecting an Experimental Design 2-upAnswers2-up
- 3.7 Inference and Experiments 2-upAnswers2-up
- 4.1 Introducing Statistics: Random and Non-Random Patterns? 2-upAnswers2-up
- 4.2 Estimating Probabilities Using Simulation 2-upAnswers2-up
- 4.3 Introduction to Probability 2-upAnswers2-up
- 4.4 Mutually Exclusive Events 2-up
- 4.5 Conditional Probability 2-upAnswers2-up
- 4.6 Independent Events and Unions of Events 2-upAnswers2-up
- 4.7 Introduction to Random Variables and Probability Distributions 2-upAnswers2-up
- 4.8 Mean and Standard Deviation of Random Variables 2-upAnswers2-up
- 4.9 Combining Random Variables 2-upAnswers2-up
- 4.10 Introduction to the Binomial Distribution 2-upAnswers2-up
- 4.11 Parameters for a Binomial Distribution 2-upAnswers2-up
- 4.12 The Geometric Distribution 2-upAnswers2-up
- 5.1 Introducing Statistics: Why Is My Sample Not Like Yours? 2-upAnswers2-up
- 5.4 Biased and Unbiased Point Estimates 2-upAnswers2-up
- 5.7 Sampling Distributions for Sample Means 2-upAnswers2-up
- 5.8 Sampling Distributions for Differences in Sample Means 2-upAnswers2-up
- 6.2 Constructing a Confidence Interval for a Population Proportion 2-upAnswers2-up
- 6.3 Justifying a Claim Based on a Confidence Interval for a Population Proportion 2-upAnswers2-up
- 6.4 Setting Up a Test for a Population Proportion 2-upAnswers2-up
- 6.6 Concluding a Test for a Population Proportion 2-upAnswers2-up
- 6.7 Potential Errors When Performing Tests 2-upAnswers2-up
- 6.8 Confidence Intervals for the Difference of Two Proportions 2-upAnswers2-up
- 6.10 Setting Up a Test for the Difference of Two Population Proportions 2-upAnswers2-up
- 6.11 Carrying Out a Test for the Difference of Two Population Proportions 2-upAnswers2-up
- 7.2 Constructing a Confidence Interval for a Population Mean 2-upAnswers2-up
- 7.3 Justifying a Claim About a Population Mean Based on a Confidence Interval 2-upAnswers2-up
- 7.4 Setting Up a Test for a Population Mean 2-upAnswers2-up
- 7.5 Carrying Out a Test for a Population Mean 2-upAnswers2-up
- 7.8 Setting Up a Test for the Difference of Two Population Means 2-upAnswers2-up
- 7.9 Carrying Out a Test for the Difference of Two Population Means 2-upAnswers2-up
- 8.5 Setting Up a Chi-Square Test for Homogeneity or Independence 2-upAnswers2-up
- 8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence 2-upAnswers2-up
- 9.2 Confidence Intervals for the Slope of a Regression Model 2-up
- 9.5 Carrying Out a Test for the Slope of a Regression Model 2-upAnswers2-up
Topic quizzes
- 1. Exploring One-Variable Data 2-up
- 2. Exploring Two-Variable Data 2-up
- 3. Collecting Data 2-up
- 4. Probability, Random Variables, and Probability Distributions 2-up
- 5. Sampling Distributions 2-up
- 6. Inference for Categorical Data: Proportions 2-up
- 7. Inference for Quantitative Data: Means 2-up
- 8. Inference for Categorical Data: Chi-Square 2-up
- 9. Inference for Quantitative Data: Slopes 2-up
Unit tests
- 1. Exploring One-Variable Data 2-upAnswers2-up
- 2. Exploring Two-Variable Data 2-upAnswers2-up
- 3. Collecting Data 2-upAnswers2-up
- 4. Probability, Random Variables, and Probability Distributions 2-upAnswers2-up
- 5. Sampling Distributions 2-upAnswers2-up
- 6. Inference for Categorical Data: Proportions 2-upAnswers2-up
- 7. Inference for Quantitative Data: Means 2-upAnswers2-up
- 8. Inference for Categorical Data: Chi-Square 2-upAnswers2-up
Mock papers
Course companion
Glossary
Topic handouts
- 1. Exploring One-Variable Data 2-up
- 2. Exploring Two-Variable Data 2-up
- 3. Collecting Data 2-up
- 4. Probability, Random Variables, and Probability Distributions 2-up
- 5. Sampling Distributions 2-up
- 6. Inference for Categorical Data: Proportions 2-up
- 7. Inference for Quantitative Data: Means 2-up
- 8. Inference for Categorical Data: Chi-Square 2-up
- 9. Inference for Quantitative Data: Slopes 2-up
- 1.1 Introducing Statistics: What Can We Learn from Data? 2-up
- 1.2 The Language of Variation: Variables 2-up
- 1.3 Representing a Categorical Variable with Tables 2-up
- 1.4 Representing a Categorical Variable with Graphs 2-up
- 1.5 Representing a Quantitative Variable with Graphs 2-up
- 1.6 Describing the Distribution of a Quantitative Variable 2-up
- 1.7 Summary Statistics for a Quantitative Variable 2-up
- 1.8 Graphical Representations of Summary Statistics 2-up
- 1.9 Comparing Distributions of a Quantitative Variable 2-up
- 1.10 The Normal Distribution 2-up
- 2.1 Introducing Statistics: Are Variables Related? 2-up
- 2.2 Representing Two Categorical Variables 2-up
- 2.3 Statistics for Two Categorical Variables 2-up
- 2.4 Representing the Relationship Between Two Quantitative Variables 2-up
- 2.5 Correlation 2-up
- 2.6 Linear Regression Models 2-up
- 2.7 Residuals 2-up
- 2.8 Least Squares Regression 2-up
- 2.9 Analyzing Departures from Linearity 2-up
- 3.1 Introducing Statistics: Do the Data We Collected Tell the Truth? 2-up
- 3.2 Introduction to Planning a Study 2-up
- 3.3 Random Sampling and Data Collection 2-up
- 3.4 Potential Problems with Sampling 2-up
- 3.5 Introduction to Experimental Design 2-up
- 3.6 Selecting an Experimental Design 2-up
- 3.7 Inference and Experiments 2-up
- 4.1 Introducing Statistics: Random and Non-Random Patterns? 2-up
- 4.2 Estimating Probabilities Using Simulation 2-up
- 4.3 Introduction to Probability 2-up
- 4.4 Mutually Exclusive Events 2-up
- 4.5 Conditional Probability 2-up
- 4.6 Independent Events and Unions of Events 2-up
- 4.7 Introduction to Random Variables and Probability Distributions 2-up
- 4.8 Mean and Standard Deviation of Random Variables 2-up
- 4.9 Combining Random Variables 2-up
- 4.10 Introduction to the Binomial Distribution 2-up
- 4.11 Parameters for a Binomial Distribution 2-up
- 4.12 The Geometric Distribution 2-up
- 5.1 Introducing Statistics: Why Is My Sample Not Like Yours? 2-up
- 5.2 The Normal Distribution, Revisited 2-up
- 5.3 The Central Limit Theorem 2-up
- 5.4 Biased and Unbiased Point Estimates 2-up
- 5.5 Sampling Distributions for Sample Proportions 2-up
- 5.6 Sampling Distributions for Differences in Sample Proportions 2-up
- 5.7 Sampling Distributions for Sample Means 2-up
- 5.8 Sampling Distributions for Differences in Sample Means 2-up
- 6.1 Introducing Statistics: Why Be Normal? 2-up
- 6.2 Constructing a Confidence Interval for a Population Proportion 2-up
- 6.3 Justifying a Claim Based on a Confidence Interval for a Population Proportion 2-up
- 6.4 Setting Up a Test for a Population Proportion 2-up
- 6.5 Interpreting p-Values 2-up
- 6.6 Concluding a Test for a Population Proportion 2-up
- 6.7 Potential Errors When Performing Tests 2-up
- 6.8 Confidence Intervals for the Difference of Two Proportions 2-up
- 6.9 Justifying a Claim Based on a Confidence Interval for a Difference of Population Proportions 2-up
- 6.10 Setting Up a Test for the Difference of Two Population Proportions 2-up
- 6.11 Carrying Out a Test for the Difference of Two Population Proportions 2-up
- 7.1 Introducing Statistics: Should I Worry About Error? 2-up
- 7.2 Constructing a Confidence Interval for a Population Mean 2-up
- 7.3 Justifying a Claim About a Population Mean Based on a Confidence Interval 2-up
- 7.4 Setting Up a Test for a Population Mean 2-up
- 7.5 Carrying Out a Test for a Population Mean 2-up
- 7.6 Confidence Intervals for the Difference of Two Means 2-up
- 7.7 Justifying a Claim About the Difference of Two Means Based on a Confidence Interval 2-up
- 7.8 Setting Up a Test for the Difference of Two Population Means 2-up
- 7.9 Carrying Out a Test for the Difference of Two Population Means 2-up
- 7.10 Skills Focus: Selecting, Implementing, and Communicating Inference Procedures 2-up
- 8.1 Introducing Statistics: Are My Results Unexpected? 2-up
- 8.2 Setting Up a Chi-Square Goodness of Fit Test 2-up
- 8.3 Carrying Out a Chi-Square Test for Goodness of Fit 2-up
- 8.4 Expected Counts in Two-Way Tables 2-up
- 8.5 Setting Up a Chi-Square Test for Homogeneity or Independence 2-up
- 8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence 2-up
- 8.7 Skills Focus: Selecting an Appropriate Inference Procedure for Categorical Data 2-up
- 9.1 Introducing Statistics: Do Those Points Align? 2-up
- 9.2 Confidence Intervals for the Slope of a Regression Model 2-up
- 9.3 Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval 2-up
- 9.4 Setting Up a Test for the Slope of a Regression Model 2-up
- 9.5 Carrying Out a Test for the Slope of a Regression Model 2-up
- 9.6 Skills Focus: Selecting an Appropriate Inference Procedure 2-up
Lesson slides
- 1. Exploring One-Variable Data
- 2. Exploring Two-Variable Data
- 3. Collecting Data
- 4. Probability, Random Variables, and Probability Distributions
- 5. Sampling Distributions
- 6. Inference for Categorical Data: Proportions
- 7. Inference for Quantitative Data: Means
- 8. Inference for Categorical Data: Chi-Square
- 9. Inference for Quantitative Data: Slopes
Lesson slides
- 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 Past-paper walk-through
- 1.7 Summary Statistics for a Quantitative Variable Past-paper walk-through
- 1.8 Graphical Representations of Summary Statistics Past-paper walk-through
- 1.9 Comparing Distributions of a Quantitative Variable Past-paper walk-through
- 1.10 The Normal Distribution Past-paper walk-through
- 2.1 Introducing Statistics: Are Variables Related? Past-paper walk-through
- 2.2 Representing Two Categorical Variables Past-paper walk-through
- 2.3 Statistics for Two Categorical Variables Past-paper walk-through
- 2.4 Representing the Relationship Between Two Quantitative Variables Past-paper walk-through
- 2.5 Correlation Past-paper walk-through
- 2.6 Linear Regression Models Past-paper walk-through
- 2.7 Residuals Past-paper walk-through
- 2.8 Least Squares Regression Past-paper walk-through
- 2.9 Analyzing Departures from Linearity Past-paper walk-through
- 3.1 Introducing Statistics: Do the Data We Collected Tell the Truth? Past-paper walk-through
- 3.2 Introduction to Planning a Study Past-paper walk-through
- 3.3 Random Sampling and Data Collection Past-paper walk-through
- 3.4 Potential Problems with Sampling Past-paper walk-through
- 3.5 Introduction to Experimental Design Past-paper walk-through
- 3.6 Selecting an Experimental Design Past-paper walk-through
- 3.7 Inference and Experiments Past-paper walk-through
- 4.1 Introducing Statistics: Random and Non-Random Patterns? Past-paper walk-through
- 4.2 Estimating Probabilities Using Simulation Past-paper walk-through
- 4.3 Introduction to Probability Past-paper walk-through
- 4.4 Mutually Exclusive Events Past-paper walk-through
- 4.5 Conditional Probability Past-paper walk-through
- 4.6 Independent Events and Unions of Events Past-paper walk-through
- 4.7 Introduction to Random Variables and Probability Distributions Past-paper walk-through
- 4.8 Mean and Standard Deviation of Random Variables Past-paper walk-through
- 4.9 Combining Random Variables Past-paper walk-through
- 4.10 Introduction to the Binomial Distribution Past-paper walk-through
- 4.11 Parameters for a Binomial Distribution Past-paper walk-through
- 4.12 The Geometric Distribution Past-paper walk-through
- 5.1 Introducing Statistics: Why Is My Sample Not Like Yours? Past-paper walk-through
- 5.2 The Normal Distribution, Revisited
- 5.3 The Central Limit Theorem
- 5.4 Biased and Unbiased Point Estimates Past-paper walk-through
- 5.5 Sampling Distributions for Sample Proportions
- 5.6 Sampling Distributions for Differences in Sample Proportions
- 5.7 Sampling Distributions for Sample Means Past-paper walk-through
- 5.8 Sampling Distributions for Differences in Sample Means Past-paper walk-through
- 6.1 Introducing Statistics: Why Be Normal?
- 6.2 Constructing a Confidence Interval for a Population Proportion Past-paper walk-through
- 6.3 Justifying a Claim Based on a Confidence Interval for a Population Proportion Past-paper walk-through
- 6.4 Setting Up a Test for a Population Proportion Past-paper walk-through
- 6.5 Interpreting p-Values
- 6.6 Concluding a Test for a Population Proportion Past-paper walk-through
- 6.7 Potential Errors When Performing Tests Past-paper walk-through
- 6.8 Confidence Intervals for the Difference of Two Proportions Past-paper walk-through
- 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 Past-paper walk-through
- 6.11 Carrying Out a Test for the Difference of Two Population Proportions Past-paper walk-through
- 7.1 Introducing Statistics: Should I Worry About Error?
- 7.2 Constructing a Confidence Interval for a Population Mean Past-paper walk-through
- 7.3 Justifying a Claim About a Population Mean Based on a Confidence Interval Past-paper walk-through
- 7.4 Setting Up a Test for a Population Mean Past-paper walk-through
- 7.5 Carrying Out a Test for a Population Mean Past-paper walk-through
- 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 Past-paper walk-through
- 7.9 Carrying Out a Test for the Difference of Two Population Means Past-paper walk-through
- 7.10 Skills Focus: Selecting, Implementing, and Communicating Inference Procedures
- 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 Past-paper walk-through
- 8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence Past-paper walk-through
- 8.7 Skills Focus: Selecting an Appropriate Inference Procedure for Categorical Data
- 9.1 Introducing Statistics: Do Those Points Align?
- 9.2 Confidence Intervals for the Slope of a Regression Model Past-paper walk-through
- 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 Past-paper walk-through
- 9.6 Skills Focus: Selecting an Appropriate Inference Procedure
Vocabulary lists
- 1. Exploring One-Variable Data 2-up
- 2. Exploring Two-Variable Data 2-up
- 3. Collecting Data 2-up
- 4. Probability, Random Variables, and Probability Distributions
- 5. Sampling Distributions
- 6. Inference for Categorical Data: Proportions
- 7. Inference for Quantitative Data: Means
- 8. Inference for Categorical Data: Chi-Square
- 9. Inference for Quantitative Data: Slopes
Flashcards
Weekly vocab tests
- Week 1 · Topic 1 · Exploring One-Variable Data 2-upAnswer key
- Week 2 · Topics 1–3 · Exploring One-Variable Data, Exploring Two-Variable Data, Collecting Data 2-upAnswer key
- Week 3 · Topics 3–4 · Collecting Data, Probability, Random Variables, and Probability Distributions 2-upAnswer key
- Week 4 · Topics 1–6 · Exploring One-Variable Data, Probability, Random Variables, and Probability Distributions, Sampling Distributions, Inference for Categorical Data: Proportions 2-upAnswer key
- Week 5 · Topics 1–9 · Exploring One-Variable Data, Collecting Data, Inference for Categorical Data: Proportions, Inference for Quantitative Data: Means, Inference for Categorical Data: Chi-Square, Inference for Quantitative Data: Slopes 2-upAnswer key
Weekly homework
- Week 1 2-up
- Week 5 2-up
- Week 8
- Week 9 2-up
- Week 11
- Week 13 2-up
- Week 15
- Week 17 2-up
- Week 18
- Week 20 2-up
- Week 22
- Week 24 2-up
- Week 26
- Week 27 2-up
- Week 29 2-up
Exercise sheets
- Complete pack — exercise sheets + past papers 2-up
- 1 Exploring One-Variable Data — Part 1 2-upAnswer key
- 1 Exploring One-Variable Data — Part 2 2-upAnswer key
- 2 Exploring Two-Variable Data — Part 1 2-upAnswer key
- 2 Exploring Two-Variable Data — Part 2 2-upAnswer key
- 3 Collecting Data — Part 1 2-upAnswer key
- 3 Collecting Data — Part 2 2-upAnswer key
- 4 Probability, Random Variables, and Probability Distributions — Part 1 2-upAnswer key
- 4 Probability, Random Variables, and Probability Distributions — Part 2 2-upAnswer key
- 5 Sampling Distributions — Part 1 2-upAnswer key
- 5 Sampling Distributions — Part 2 2-upAnswer key
- 6 Inference for Categorical Data: Proportions — Part 1 2-upAnswer key
- 6 Inference for Categorical Data: Proportions — Part 2 2-upAnswer key
- 7 Inference for Quantitative Data: Means — Part 1 2-upAnswer key
- 7 Inference for Quantitative Data: Means — Part 2 2-upAnswer key
- 8 Inference for Categorical Data: Chi-Square — Part 1 2-upAnswer key
- 8 Inference for Categorical Data: Chi-Square — Part 2 2-upAnswer key
- 9 Inference for Quantitative Data: Slopes — Part 1 2-upAnswer key
- 9 Inference for Quantitative Data: Slopes — Part 2 2-upAnswer key
Past papers
- 1.6 Describing the Distribution of a Quantitative Variable Answers2-up
- 1.7 Summary Statistics for a Quantitative Variable Answers2-up
- 1.8 Graphical Representations of Summary Statistics Answers2-up
- 1.9 Comparing Distributions of a Quantitative Variable Answers2-up
- 1.10 The Normal Distribution Answers2-up
- 2.1 Introducing Statistics: Are Variables Related? Answers2-up
- 2.2 Representing Two Categorical Variables 2-upAnswers2-up
- 2.3 Statistics for Two Categorical Variables Answers2-up
- 2.4 Representing the Relationship Between Two Quantitative Variables 2-upAnswers2-up
- 2.5 Correlation 2-upAnswers2-up
- 2.6 Linear Regression Models 2-upAnswers2-up
- 2.7 Residuals Answers2-up
- 2.8 Least Squares Regression Answers2-up
- 2.9 Analyzing Departures from Linearity Answers2-up
- 3.1 Introducing Statistics: Do the Data We Collected Tell the Truth? 2-upAnswers2-up
- 3.2 Introduction to Planning a Study Answers2-up
- 3.3 Random Sampling and Data Collection Answers2-up
- 3.4 Potential Problems with Sampling Answers2-up
- 3.5 Introduction to Experimental Design Answers2-up
- 3.6 Selecting an Experimental Design Answers2-up
- 3.7 Inference and Experiments Answers2-up
- 4.1 Introducing Statistics: Random and Non-Random Patterns? Answers2-up
- 4.2 Estimating Probabilities Using Simulation Answers2-up
- 4.3 Introduction to Probability Answers2-up
- 4.4 Mutually Exclusive Events 2-up
- 4.5 Conditional Probability Answers2-up
- 4.6 Independent Events and Unions of Events Answers2-up
- 4.7 Introduction to Random Variables and Probability Distributions Answers2-up
- 4.8 Mean and Standard Deviation of Random Variables Answers2-up
- 4.9 Combining Random Variables 2-upAnswers2-up
- 4.10 Introduction to the Binomial Distribution Answers2-up
- 4.11 Parameters for a Binomial Distribution Answers2-up
- 4.12 The Geometric Distribution Answers2-up
- 5.1 Introducing Statistics: Why Is My Sample Not Like Yours? 2-upAnswers2-up
- 5.4 Biased and Unbiased Point Estimates Answers2-up
- 5.7 Sampling Distributions for Sample Means Answers2-up
- 5.8 Sampling Distributions for Differences in Sample Means 2-upAnswers2-up
- 6.2 Constructing a Confidence Interval for a Population Proportion Answers2-up
- 6.3 Justifying a Claim Based on a Confidence Interval for a Population Proportion Answers2-up
- 6.4 Setting Up a Test for a Population Proportion Answers2-up
- 6.6 Concluding a Test for a Population Proportion Answers2-up
- 6.7 Potential Errors When Performing Tests Answers2-up
- 6.8 Confidence Intervals for the Difference of Two Proportions Answers2-up
- 6.10 Setting Up a Test for the Difference of Two Population Proportions Answers2-up
- 6.11 Carrying Out a Test for the Difference of Two Population Proportions Answers2-up
- 7.2 Constructing a Confidence Interval for a Population Mean 2-upAnswers2-up
- 7.3 Justifying a Claim About a Population Mean Based on a Confidence Interval Answers2-up
- 7.4 Setting Up a Test for a Population Mean Answers2-up
- 7.5 Carrying Out a Test for a Population Mean 2-upAnswers2-up
- 7.8 Setting Up a Test for the Difference of Two Population Means Answers2-up
- 7.9 Carrying Out a Test for the Difference of Two Population Means Answers2-up
- 8.5 Setting Up a Chi-Square Test for Homogeneity or Independence Answers2-up
- 8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence Answers2-up
- 9.2 Confidence Intervals for the Slope of a Regression Model 2-up
- 9.5 Carrying Out a Test for the Slope of a Regression Model 2-upAnswers2-up
Tips
Read the scoring guidelines before working more questions. They are unusually explicit about wording, and they show that most lost marks are in the conclusion, not the calculation.
Write out all four steps every time, even when the arithmetic is trivial. The habit is what protects you when the question is not.
The investigative task is worth 25% of the free-response section. It is deliberately unfamiliar, so practise it specifically — the goal is not to have seen the context, but to be comfortable reasoning in one you have not.