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# Practice of Statistics

## Sixth Edition| ©2018 Daren S. Starnes; Josh Tabor

** The Practice of Statistics (TPS)** is written specifically to address the College Board AP® Statistics Course Description. Now the overwhelming bestseller for the course returns in a spectacular new edition.

For this edition, Josh Tabor joins the author team of veteran AP...

** The Practice of Statistics (TPS)** is written specifically to address the College Board AP® Statistics Course Description. Now the overwhelming bestseller for the course returns in a spectacular new edition.

For this edition, Josh Tabor joins the author team of veteran AP® teachers who fully understand how to engage and teach high school students. With new problem-solving and test preparation features and a dramatically enhanced suite of media tools, the fifth edition provides everything teachers and students need to succeed in the course and on the AP® Statistics exam.

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** The Practice of Statistics (TPS)** is written specifically to address the College Board AP® Statistics Course Description. Now the overwhelming bestseller for the course returns in a spectacular new edition.

For this edition, Josh Tabor joins the author team of veteran AP® teachers who fully understand how to engage and teach high school students. With new problem-solving and test preparation features and a dramatically enhanced suite of media tools, the fifth edition provides everything teachers and students need to succeed in the course and on the AP® Statistics exam.

Features

**Examples with paired “Try “Problems** – At the heart of the TPS approach are the 175 worked examples, which are mapped to parallel exercises in the Section Exercises, to offer students both practice and support. A backward/forwards navigation system ensures that students who start by trying to work exercises and only then go back to read the text content will land at the right spot and will get the guided help they need. Each Example presents a ** detailed response in a “student font” to model a complete and well written solution**.

**Over 1600 Problems for Practice** – Each of the 12 chapters is organized into 2-3 sections with 4-7 Learning Targets in each. Integrated through-out the text are ** Check Your Understanding** exercises that offer “on the spot” practice for concepts and skills just learned. Each Section ends with comprehensive

**Section Exercises**, including short answer, Multiple Choice, and “review and recycle” problems, that ensures that key ideas learned earlier in the presentation are revisited as appropriate. Every Chapter concludes with a through

**Chapter Review and summary**, including a review table that identifies related examples and exercises for each Learning Target, a focused set of Chapter Review Exercises, and a

**Chapter AP® Statistics Practice Test**with M/C and FRQ questions. In addition, each chapter features a

**FRAPPY!**(Free Response AP® Problem, Yay!) activity that prepares students for the most challenging on the AP® Exam.

**Four Cumulative AP® Practice Tests**are interspersed at logical breaks in the text (after chapters 4, 7, 10, 12) and build in level of complexity culminating in a complete model exam to help prepare students for success on the AP® Statistics Exam.

Additional help is offered through the

**350 worked Example and Exercise Videos**, identified by the play button , that feature an experienced AP® Statistics walking step-by-step through each one to offer additional help and support when students need it most. The can be accessed by clicking on the link in the student e-Book or viewed at the open access Student Site.

**Integrated AP® Support**– Our authors know from experience that success on the AP® Exam comes from practicing every day- not just during a last minute review session. In addition to strict adherence to the language, nomenclature, formulas and style of presentation that teaches that preferred on the AP® Exam, many special features are incorporated:

- AP® Exam Tips appear throughout the text to provide in situ hints and guidance on how to study and prepare for the exam and avoid common mistakes.
- Each Section ends with a comprehensive Section exercise set, including “review and recycle” problems that ensures that key ideas learned earlier in the presentation are revisited as appropriate. Every Chapter concludes with a through Chapter Review and summary, including a review table that identifies related examples and exercises for each Learning Target, a focused set of Chapter Review Exercises, and a Chapter AP® Statistics Practice Test.
- In addition, each chapter features a FRAPPY (Free Response AP® Problem, Yay!) activity that prepares students to answer the challenging FRQs, that comprise 50% of the score on the AP Exam.
- Four Cumulative AP® Practice Tests are interspersed at logical breaks in the text (after chapters 4, 7, 10, 12) and build in level of complexity culminating in a complete model exam to help prepare students for success on the AP® Statistics Exam.

**Technology Corners** – provide detailed instructions, with screen captures, for creating graphs and performing the most important statistical analyses on the TI-84 graphing calculator. TI-Nspire, TI-89, and HP Prime instructions are available on the Student Site and in the digital platform. In addition, a comprehensive set of Applets, available free to users, supports simulation and hands-on learning and are referenced at appropriate points in the text.

New to This Edition

The sixth edition is a thorough revision of a market leading book that has been refined to provide more and better support for the diverse population of students that takes AP® Statistics today.

**NEW** – Many of the Examples now feature ** Teacher Talk boxes** that feature the voice of the teacher to guide students through the appropriate steps in the solution.

**NEW**to TPS6 are more detailed

**Chapter Review Exercise Videos**that augment the Section Example and Exercise Videos and help student prepare for the Chapter AP® Practice Test.

**Activities and NEW Chapter Projects**– with more than 30 built in Activities and 5 Chapter Projects, students are encouraged to learn by simulation and by “doing” statistics. The activities and projects may be used to support collaborative learning as well as deeper investigation and study

# Digital Options

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## Table of Contents

**About the Authors AcknowledgmentsTo the Student Overview: What Is Statistics?**

**1 Data AnalysisIntroduction: 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

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 SourcesSolutionsGlossary/Glosario**

**About the AP® Exam**

**Formulas for AP® Statistics Exam**

Tables

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

**IndexTechnology Corners ReferenceInference SummaryAdditional Online topics 13 Analysis of Variance14 Multiple Linear Regression15 Logistic Regression**

## Authors

### Daren S. Starnes

**Daren S. Starnes** is Mathematics Department Chair and holds the Robert S. and Christina Seix Dow Distinguished Master Teacher Chair in Mathematics at The Lawrenceville School near Princeton, New Jersey. 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 is also an alumnus of the North Carolina School of Science and Mathematics. Daren has led numerous one-day and weeklong AP® Statistics institutes for new and experienced teachers, and he has been a Reader, Table Leader, and Question Leader for the AP® Statistics exam since 1998. Daren is a frequent speaker at local, state, regional, national, and international conferences. He has written articles for *The Mathematics Teacher* and *CHANCE* magazine. From 2004 to 2009, Daren served on the ASA/NCTM Joint Committee on the Curriculum in Statistics and Probability (which he chaired in 2009). While on the committee, he edited the Guidelines for Assessment and Instruction in Statistics Education (GAISE) pre-K–12 report and coauthored (with Roxy Peck) *Making Sense of Statistical Studies*, a capstone module in statistical thinking for high school students. Daren is also coauthor of the popular on-level text *Statistics and Probability with Applications*.

### Josh Tabor

**Josh Tabor** has enjoyed teaching on-level and AP® Statistics to high school students for more than 23 years, most recently at his alma mater, Canyon del Oro High School in Oro Valley, Arizona. 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) and has been a Reader, Table Leader, and Question 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 College Board workshops around the world and frequently speaks at local, national, and international conferences. In addition to teaching and speaking, Josh has published articles in *The American Statistician*, *The Mathematics Teacher*, *STATS Magazine*, and *The Journal of Statistics Education*. He is the coauthor with Daren Starnes of two other popular statistics textbooks, *The Practice of Statistics for the AP® Exam*, Sixth Edition, and *Statistics and Probability with Applications*, Third Edition, for on-level statistics. Outside of work, Josh enjoys gardening, traveling, and playing board games with his family.

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# Program Resources

### ExamView Assessment Suite for The Practice of Statistics

Daren S. Starnes; Josh Tabor | Sixth Edition | ©2018 | ISBN:9781319114435More than 1500 additional test questions, including 200 new FRQ’s, keyed to Learning Target, Section, and chapter allows teachers to create quizzes an...

More than 1500 additional test questions, including 200 new FRQ’s, keyed to Learning Target, Section, and chapter allows teachers to create quizzes and tests quickly and easily. Tests may be printed or administered online.

Read more
### Teacher's Edition for The Practice of Statistics

Daren S. Starnes; Josh Tabor | Sixth Edition | ©2018 | ISBN:9781319114305Written by Michigan Teacher of the Year and experienced AP Statistics Teacher, Luke Wilcox, the ATE provides new and experienced teachers alike wit...

Written by Michigan Teacher of the Year and experienced AP Statistics Teacher, Luke Wilcox, the ATE provides new and experienced teachers alike with a comprehensive guide to teaching AP Statistics effectively. The goal of the Teacher’s Edition is to empower every teacher, whether a rookie or experienced with AP® Statistics, to teach like a veteran from the first day of class.

The Sixth Edition ATE offers: an introduction with general advice for teaching AP Statistics, “Blue Pages” that precede the wrap-around student pages at the beginning of each chapter, a list of resources including a comprehensive list of Free Response Questions (FRQs) appropriate for that chapter, additional guidance for using applets, videos, and other Internet resources, a pacing guide for the chapter featuring Learning Targets and suggested homework assignments.

Wrapped in the margins around the student pages are Teaching Tips, Alternate Examples and Alternate Activities, short solutions, including graphs, to all of the text’s exercises, Check Your Understanding problems, and chapter tests, Notes about AP Exam Common Errors, using the AP Exam formula Sheet, and integrated notes on extra resources that are available.

### Teacher's Resource Flash Drive for The Practice of Statistics

Daren S. Starnes; Josh Tabor | Sixth Edition | ©2018 | ISBN:9781319114220
The TRFD is the mother lode of resources for TPS6.

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