AP Statistics

Description

This course is designed to provide college-level instruction on the concepts and tools for working with data. Students collect and analyze data and draw conclusions based on real-world information. The course challenges students to explore patterns, think critically, use a variety of tools and methods, and report their findings and conclusions. 

Major Topics and Concepts

Semester 1

Univariate Data
· Introduction to Univariate Data
· Pie Charts
· Graphical Displays of Categorical Data Bar Charts
· Stem Plots
· Graphical Displays of Categorical Data
· Measuring the Center
· Measuring the Spread
· The Number Summary and Boxplots
· Density Curves
· The Normal Distribution
· Standardized Scores
· Normal Distribution Calculations
· Normality
 

Bivariate and Categorical Data 
· Introduction to Bivariate Data
· Creating Scatterplots
· Interpreting Scatterplots
· Correlation
· The Least Square Regression Line
· Residual and Residual Plots
· Correlation and Regression Details
· Non-linear Data
· Exponential Models
· Power Models
· Bivariate Categorical Data
· Simpson’s Paradox and Other Cautions
 

Studies and Experiments 
· Introduction to Studies Experiments and Simulations
· Designing Samples and Surveys
· The SRS
· Bad Sampling
· Good Sampling
· Cautions about Sampling
· Experimental Design
· Different Experimental Design
· Cautions about Experiments
· Simulations
· Generalizability
 

Probability and Random Variables
· Introduction and Definition of Probability
· Sample Spaces and Counting
· Complements Disjoint Events and Addition Rule
· Independence and the Multiplication Rule
· Unions Venn Diagrams and more Probability
· Conditional Probability
· Tree Diagrams and more Probability
· Discrete Random Variables
· Continuous Random Variable
· Mean and Variance of Random Variable
· The Law of Large Numbers and Rules for Means and Variances
 

Binomial, Geometric, and Sampling Distributions 
· Binomial Settings
· Finding Binomial Probabilities
· The Binomial Formula Mean and Standard Deviation
· Practice with Binomial Distributions
· Geometric Settings
· Calculating Geometrical Probabilities Mean and Standard Deviation
· Additional Practice with Binomial and Geometrical Distributions
· Introduction to Sampling Distributions
· Sample Proportions
· Sample Means
· The Central Limit Theorem
· Review of Random Variables and Sampling Distributions
 

Segment 2 

Introduction to Inference
· Confidence Intervals
· Sample Size and Confidence Interval Behavior
· Confidence Intervals and the Calculator
· The Significance Test
· Statistical Significance
· Connecting Confidence Intervals and Tests of Significance
· Significance Tests and Decision Making
· Errors and Power 

Inference for Means and Proportions
· Confidence Intervals for T
· Significance Test for T
· Conditions for T Testing
· T Distributions and the Calculator
· T Intervals for Comparing Two Means
· T Tests for Comparing Two Means
· Confidence Intervals for Proportions
· Significance Tests for Proportions
· Choosing Sample Size and Using Your Calculator
· Confidence Intervals and Two Proportions
· Significance Test for Two Proportions 

Inference for Goodness of Fit
· Chi-Squared Test for Goodness of Fit
· Goodness of Fit Conditional and the Calculator
· Chi-Squared Test of Association/Independence
· Chi-Squared Test of Independence Conditions and the Calculator
· Inference for Regression Estimating Slope
· Regression and Testing Slope 

AP Review
Culminating Project