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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 →
- Course & Exam Description
- Revision Sheet
- Syllabus Checklist
- Scheme of Work
- Exam Technique
- Command Words — A3 poster
- Lesson Plans — one page per topic
- Class Mark Book
1. Exploring One-Variable Data 30 files
- 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
- 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
2. Exploring Two-Variable Data 32 files
- 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
- 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
- 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
3. Collecting Data 26 files
4. Probability, Random Variables, and Probability Distributions 41 files
- 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
- 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
- 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
5. Sampling Distributions 25 files
- 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
- 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
6. Inference for Categorical Data: Proportions 35 files
- 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
- 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
- 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
- 6.6 Concluding a Test for a Population Proportion
- 6.7 Potential Errors When Performing Tests
- 6.8 Confidence Intervals for the Difference of Two Proportions
- 6.10 Setting Up a Test for the Difference of Two Population Proportions
- 6.11 Carrying Out a Test for the Difference of Two Population Proportions
7. Inference for Quantitative Data: Means 31 files
- 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
- 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
- 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
- 7.8 Setting Up a Test for the Difference of Two Population Means
- 7.9 Carrying Out a Test for the Difference of Two Population Means
8. Inference for Categorical Data: Chi-Square 21 files
- 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
- 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
9. Inference for Quantitative Data: Slopes 18 files
- 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
- 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
2026 1 files
- 2026 Questions
- AP Statistics — Question index
- 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
- 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
- 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
- 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
- 5.1 Introducing Statistics: Why Is My Sample Not Like Yours?
- 5.4 Biased and Unbiased Point Estimates
- 5.7 Sampling Distributions for Sample Means
- 5.8 Sampling Distributions for Differences in Sample Means
- 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
- 6.6 Concluding a Test for a Population Proportion
- 6.7 Potential Errors When Performing Tests
- 6.8 Confidence Intervals for the Difference of Two Proportions
- 6.10 Setting Up a Test for the Difference of Two Population Proportions
- 6.11 Carrying Out a Test for the Difference of Two Population Proportions
- 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
- 7.8 Setting Up a Test for the Difference of Two Population Means
- 7.9 Carrying Out a Test for the Difference of Two Population Means
- 8.5 Setting Up a Chi-Square Test for Homogeneity or Independence
- 8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence
- 9.2 Confidence Intervals for the Slope of a Regression Model
- 9.5 Carrying Out a Test for the Slope of a Regression Model
Topic quizzes
- 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
Unit tests
- 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
Mock papers
Course companion
Glossary
Topic handouts
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
Vocabulary lists
- 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
Flashcards
Weekly vocab tests
- Week 1 · Topic 1 · Exploring One-Variable Data
- Week 2 · Topics 1–3 · Exploring One-Variable Data, Exploring Two-Variable Data, Collecting Data
- Week 3 · Topics 3–4 · Collecting Data, Probability, Random Variables, and Probability Distributions
- Week 4 · Topics 1–6 · Exploring One-Variable Data, Probability, Random Variables, and Probability Distributions, Sampling Distributions, Inference for Categorical Data: Proportions
- 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
Weekly homework
Exercise sheets
- Complete pack — exercise sheets + past papers
- 1 Exploring One-Variable Data — Part 1
- 1 Exploring One-Variable Data — Part 2
- 2 Exploring Two-Variable Data — Part 1
- 2 Exploring Two-Variable Data — Part 2
- 3 Collecting Data — Part 1
- 3 Collecting Data — Part 2
- 4 Probability, Random Variables, and Probability Distributions — Part 1
- 4 Probability, Random Variables, and Probability Distributions — Part 2
- 5 Sampling Distributions — Part 1
- 5 Sampling Distributions — Part 2
- 6 Inference for Categorical Data: Proportions — Part 1
- 6 Inference for Categorical Data: Proportions — Part 2
- 7 Inference for Quantitative Data: Means — Part 1
- 7 Inference for Quantitative Data: Means — Part 2
- 8 Inference for Categorical Data: Chi-Square — Part 1
- 8 Inference for Categorical Data: Chi-Square — Part 2
- 9 Inference for Quantitative Data: Slopes — Part 1
- 9 Inference for Quantitative Data: Slopes — Part 2
Past papers
- 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
- 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
- 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
- 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
- 5.1 Introducing Statistics: Why Is My Sample Not Like Yours?
- 5.4 Biased and Unbiased Point Estimates
- 5.7 Sampling Distributions for Sample Means
- 5.8 Sampling Distributions for Differences in Sample Means
- 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
- 6.6 Concluding a Test for a Population Proportion
- 6.7 Potential Errors When Performing Tests
- 6.8 Confidence Intervals for the Difference of Two Proportions
- 6.10 Setting Up a Test for the Difference of Two Population Proportions
- 6.11 Carrying Out a Test for the Difference of Two Population Proportions
- 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
- 7.8 Setting Up a Test for the Difference of Two Population Means
- 7.9 Carrying Out a Test for the Difference of Two Population Means
- 8.5 Setting Up a Chi-Square Test for Homogeneity or Independence
- 8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence
- 9.2 Confidence Intervals for the Slope of a Regression Model
- 9.5 Carrying Out a Test for the Slope of a Regression Model
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.