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Table of Contents

About the Authors     
Acknowledgments
To the Student     
Overview: What Is Statistics? 

1 Data Analysis
Introduction: The Science and Art of Data     
1.1 Analyzing Categorical Data     
1.2 Displaying Quantitative Data with Graphs     
1.3 Describing Quantitative Data with Numbers 
Chapter 1 Wrap-Up   
      Free Response AP® Problem, Yay!      
      Chapter 1 Review      
      Chapter 1 Review Exercises      
      Chapter 1 AP® Statistics Practice Test 
      Chapter Project    

2 Modeling Distributions of Data
Introduction     
2.1 Describing Location in a Distribution     
2.2 Density Curves and Normal Distributions
Chapter 2 Wrap-Up         
      Free Response AP® Problem, Yay!      
      Chapter 2 Review      
      Chapter 2 Review Exercises      
      Chapter 2 AP® Statistics Practice Test  

3 Describing Relationships
Introduction    
3.1 Scatterplots and Correlation    
3.2 Least-Squares Regression  
Chapter 3 Wrap-Up  
      Free Response AP® Problem, Yay!     
      Chapter 3 Review     
      Chapter 3 Review Exercises     
      Chapter 3 AP® Statistics Practice Test    
      Chapter Project  

4 Collecting Data
Introduction   
4.1 Sampling and Surveys    
4.2 Experiments   
4.3 Using Studies Wisely 
Chapter 4 Wrap-Up   
      Free Response AP® Problem, Yay!     
      Chapter 4 Review     
      Chapter 4 Review Exercises     
      Chapter 4 AP® Statistics Practice Test 
      Chapter Project      
Cumulative AP® Practice Test 1

5 Probability: What Are the Chances?
Introduction 
5.1 Randomness, Probability, and Simulation    
5.2 Probability Rules   
5.3 Conditional Probability and Independence
Chapter 5 Wrap-Up    
      Free Response AP® Problem, Yay!     
      Chapter 5 Review     
      Chapter 5 Review Exercises    
      Chapter 5 AP® Statistics Practice Test    

6 Random Variables
Introduction    
6.1 Discrete and Continuous Random Variables    
6.2 Transforming and Combining Random Variables    
6.3 Binomial and Geometric Random Variables  
Chapter 6 Wrap-Up  
      Free Response AP® Problem, Yay!     
      Chapter 6 Review     
      Chapter 6 Review Exercises     
      Chapter 6 AP® Statistics Practice Test   

7 Sampling Distributions
Introduction    
7.1 What Is a Sampling Distribution?    
7.2 Sample Proportions   
7.3 Sample Means 
Chapter 7 Wrap-Up   
      Free Response AP® Problem, Yay!    
      Chapter 7 Review     
      Chapter 7 Review Exercises    
      Chapter 7 AP® Statistics Practice Test 
Cumulative AP® Practice Test 2

8 Estimating with Confidence
Introduction    
8.1 Confidence Intervals: The Basics    
8.2 Estimating a Population Proportion    
8.3 Estimating a Population Mean
Chapter 8 Wrap-Up     
      Free Response AP® Problem, Yay!     
      Chapter 8 Review     
      Chapter 8 Review Exercises     
      Chapter 8 AP® Statistics Practice Test    

9 Testing a Claim
Introduction    
9.1 Significance Tests: The Basics    
9.2 Tests about a Population Proportion    
9.3 Tests about a Population Mean   
Chapter 9 Wrap-Up 
      Free Response AP® Problem, Yay!     
      Chapter 9 Review     
      Chapter 9 Review Exercises     
      Chapter 9 AP® Statistics Practice Test    

10 Comparing Two Populations or Groups
Introduction    
10.1 Comparing Two Proportions   
10.2 Comparing Two Means 
10.3 Comparing Two Means: Paired Data
Chapter 10 Wrap-Up 
      Free Response AP® Problem, Yay!     
      Chapter 10 Review     
      Chapter 10 Review Exercises     
      Chapter 10 AP® Statistics Practice Test 
      Chapter Project   
Cumulative AP® Practice Test 3

11 Inference for Distributions of Categorical Data
Introduction   
11.1 Chi-Square Tests for Goodness of Fit    
11.2 Inference for Two-Way Tables   
Chapter 11 Wrap-Up 
      Free Response AP® Problem, Yay!     
      Chapter 11 Review     
      Chapter 11 Review Exercises     
      Chapter 11 AP® Statistics Practice Test  
 
12 More about Regression
Introduction    
12.1 Inference for Linear Regression    
12.2 Transforming to Achieve Linearity   
Chapter 12 Wrap-Up 
      Free Response AP® Problem, Yay!    
      Chapter 12 Review     
      Chapter 12 Review Exercises     
      Chapter 12 AP® Statistics Practice Test  
      Final Project  
Cumulative AP® Practice Test 4

Notes and Data Sources
Solutions
Glossary/Glosario 
About the AP® Exam
Formulas for AP® Statistics Exam
Tables
      Table A: Standard Normal Probabilities     T-1
      Table B: t Distribution Critical Values     T-3
      Table C: Chi-Square Distribution
      Critical Values      T-4
      Table D: Random Digits      T-5

Index
Technology Corners Reference
Inference Summary
Additional Online topics
13 Analysis of Variance
14 Multiple Linear Regression
15 Logistic Regression

Authors

Daren Starnes

Daren Starnes has taught a variety of statistics courses—including AP® Statistics, Introductory Statistics, and Mathematical Statistics—for 25 years. He earned his MA in Mathematics from the University of Michigan and his BS in Mathematics from the University of North Carolina at Charlotte. Daren has been a Reader, Table Leader, and Question Leader for the AP® Statistics exam for over 20 years. As a College Board consultant since 1999, Daren has led hundreds of workshops for AP® Statistics teachers throughout the United States and overseas. He frequently presents in-person and online sessions about statistics teaching and learning for high school and college faculty. Daren is an active member of the National Council of Teachers of Mathematics (NCTM), the American Statistical Association (ASA), the American Mathematical Association of Two-Year Colleges (AMATYC), and the International Association for Statistical Education (IASE). He served on the ASA/NCTM Joint Committee on the Curriculum in Statistics and Probability for six years. While on the committee, he edited the Guidelines for Assessment and Instruction in Statistics Education (GAISE) pre-K–12 report. Daren is also coauthor of the popular on-level text Statistics and Probability with Applications (now in its fifth edition) and of the new college text Introductory Statistics: A Student-Centered Approach. Daren and his wife Judy enjoy traveling, rambling walks, jigsaw puzzles, and spending time with their three sons and seven grandchildren.

Josh Tabor

Josh Tabor has enjoyed teaching on-level and AP® Statistics to high school students for more than 26 years, most recently at The Potter’s School. He received a BS in Mathematics from Biola University, in La Mirada, California. In recognition of his outstanding work as an educator, Josh was named one of the five finalists for Arizona Teacher of the Year in 2011. He is a past member of the AP® Statistics Development Committee (2005–2009) as well as an experienced Reader, Table Leader, Question Leader, and Exam Leader at the AP® Statistics Reading since 1999. In 2013, Josh was named to the SAT® Mathematics Development Committee. Each year, Josh leads one-week AP® Summer Institutes and one-day College Board workshops around the country and frequently speaks at local, national, and international conferences. In addition to teaching and speaking, Josh has authored articles in The American Statistician, The Mathematics Teacher, STATS Magazine, and The Journal of Statistics Education. Combining his love of statistics and love of sports, Josh teamed with Christine Franklin to write Statistical Reasoning in Sports, an innovative textbook for on-level statistics courses. Josh is also coauthor of the popular on-level text - Statistics and Probability with Applications (now in its fifth edition) and the new college text Introductory Statistics: A Student-Centered Approach. Outside of work, Josh enjoys gardening, traveling, and playing board games with his family.