AP Statistics Curriculum 2007
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Contents
1
This is an Outline of a General Advance-Placement (AP) Statistics Curriculum
1.1
Introduction to Statistics
1.1.1
The Nature of Data
1.1.2
Uses and Abuses of Statistics
1.1.3
Design of Experiments
1.1.4
Statistics with Calculators and Computers
1.2
Describing, Exploring, and Comparing Data
1.2.1
Summarizing data with Frequency Tables
1.2.2
Pictures of Data
1.2.3
Measures of Central Tendency
1.2.4
Measures of Variation
1.2.5
Measures of Position
1.2.6
Exploratory Data Analysis
1.3
Probability
1.3.1
Fundamentals
1.3.2
Addition Rule
1.3.3
Multiplication Rule
1.3.4
Probabilities through Simulations
1.3.5
Counting
1.4
Probability Distributions
1.4.1
Random Variables
1.4.2
Bernoulli & Binomial Experiments
1.4.3
Geometric, HyperGeometric & Negative Binomial
1.4.4
Mean, Variance, and Standard Deviation for the Binomial Distribution
1.4.5
Poisson Distribution
1.5
Normal Probability Distributions
1.5.1
The Standard Normal Distribution
1.5.2
Nonstandard Normal Distribution: Finding Probabilities
1.5.3
Nonstandard Normal Distributions: Finding Scores
1.6
Relations Between Distributions
1.6.1
The Central Limit Theorem
1.7
=Law of Large Numbers
1.7.1
Normal Distribution as Approximation to Binomial Distribution
1.7.2
Poisson Approximation to Binomial Distribution
1.7.3
Binomial Approximation to HyperGeometric
1.7.4
Normal Approximation to Poisson
1.8
Estimates and Sample Sizes
1.8.1
Estimating a Population Mean: Large Samples
1.8.2
Estimating a Population Mean: Small Samples
1.8.3
Estimating a Population Proportion
1.8.4
Estimating a Population Variance
1.9
Hypothesis Testing
1.9.1
Fundamentals of Hypothesis Testing
1.9.2
Testing a Claim about a Mean: Large Samples
1.9.3
Testing a Claim about a Mean: Small Samples
1.9.4
Testing a Claim about a Proportion
1.9.5
Testing a Claim about a Standard Deviation or Variance
1.10
Inferences from Two Samples
1.10.1
Inferences about Two Means: Dependent Samples
1.10.2
Inferences about Two Means: Independent and Large Samples
1.10.3
Comparing Two Variances
1.10.4
Inferences about Two Means: Independent and Small Samples
1.10.5
Inferences about Two Proportions
1.11
Correlation and Regression
1.11.1
Correlation
1.11.2
Regression
1.11.3
Variation and Prediction Intervals
1.11.4
Multiple Regression
1.12
Multinomial Experiments and Contingency Tables
1.12.1
Multinomial Experiments: Goodness-of-Fit
1.12.2
Contingency Tables: Independence and Homogeneity
1.13
Statistical Process Control
1.13.1
Control Charts for Variation and Mean
1.13.2
Control Charts for Attributes
This is an Outline of a General Advance-Placement (AP) Statistics Curriculum
Introduction to Statistics
The Nature of Data
Uses and Abuses of Statistics
Design of Experiments
Statistics with Calculators and Computers
Describing, Exploring, and Comparing Data
Summarizing data with Frequency Tables
Pictures of Data
Measures of Central Tendency
Measures of Variation
Measures of Position
Exploratory Data Analysis
Probability
Fundamentals
Addition Rule
Multiplication Rule
Probabilities through Simulations
Counting
Probability Distributions
Random Variables
Bernoulli & Binomial Experiments
Geometric, HyperGeometric & Negative Binomial
Mean, Variance, and Standard Deviation for the Binomial Distribution
Poisson Distribution
Normal Probability Distributions
The Standard Normal Distribution
Nonstandard Normal Distribution: Finding Probabilities
Nonstandard Normal Distributions: Finding Scores
Relations Between Distributions
The Central Limit Theorem
=Law of Large Numbers
Normal Distribution as Approximation to Binomial Distribution
Poisson Approximation to Binomial Distribution
Binomial Approximation to HyperGeometric
Normal Approximation to Poisson
Estimates and Sample Sizes
Estimating a Population Mean: Large Samples
Estimating a Population Mean: Small Samples
Estimating a Population Proportion
Estimating a Population Variance
Hypothesis Testing
Fundamentals of Hypothesis Testing
Testing a Claim about a Mean: Large Samples
Testing a Claim about a Mean: Small Samples
Testing a Claim about a Proportion
Testing a Claim about a Standard Deviation or Variance
Inferences from Two Samples
Inferences about Two Means: Dependent Samples
Inferences about Two Means: Independent and Large Samples
Comparing Two Variances
Inferences about Two Means: Independent and Small Samples
Inferences about Two Proportions
Correlation and Regression
Correlation
Regression
Variation and Prediction Intervals
Multiple Regression
Multinomial Experiments and Contingency Tables
Multinomial Experiments: Goodness-of-Fit
Contingency Tables: Independence and Homogeneity
Statistical Process Control
Control Charts for Variation and Mean
Control Charts for Attributes
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