5 Steps to a 5: AP Statistics 2023

by Jared Derksen, DeAnna Krause McDonald

Overview

AP Teachers’ #1 Choice!

Ready to succeed in your AP course and ace your exam? Our 5 Steps to a 5 guides explain the tough stuff, offer tons of practice and explanations, and help you make the most efficient use of your study time. 5 Steps to a 5: AP Statistics is more than a review guide, it’s a system that has helped thousands of students walk into test day feeling prepared and confident.

Everything you Need for a 5:

• 3 full-length practice tests that align with the latest College Board requirements
• Hundreds of practice exercises with answer explanations
• Comprehensive overview of all test topics
• Proven strategies from seasoned AP educators

Study on the Go:

• All instructional content in digital format (for both computers and mobile devices)
• Interactive practice tests with answer explanations
• A self-guided study plan with daily goals, powerful analytics, flashcards, games, and more

A Great In-class Supplement:

• 5 Steps is an ideal companion to your main AP text
• Includes an AP Statistics Teacher’s Manual that offers excellent guidance to educators for better use of the 5 Steps resources

Product Details

ISBN-13:	9781264498628
Publisher:	McGraw Hill LLC
Publication date:	08/25/2022
Pages:	384
Product dimensions:	8.30(w) x 10.70(h) x 0.90(d)

About the Author

Jared Derksen has been teaching mathematics for over 30 years. For most of that time he has taught AP Statistics—a program he started and grew to include over 180 students annually. As an AP Consultant, he has trained hundreds of teachers, from California to Chengdu, China.

DeAnna Krause McDonald has taught AP Statistics for 20 years at Palo Verde and University high schools in Tucson, Arizona. She currently teaches Statistics courses for the University of Arizona department of Mathematics.

Table of Contents

Preface vii

Acknowledgments ix

About the Authors xi

Introduction: The Five-Step Program xiii

Step 1 Set Up Your Study Program 1

1 What You Need to Know About the AP Statistics Exam 3

Background Information 3

Some Frequently Asked Questions About the AP Statistics Exam 4

2 How to Plan Your Time 10

Three Approaches to Preparing for the AP Statistics Exam 10

Calendar for Each Plan 12

Step 2 Determine Your Test Readiness 15

3 Take a Diagnostic Exam 17

AP Statistics Diagnostic Test 21

Answers and Explanations 33

Interpretation: How Ready Are You? 42

Section I Multiple-Choice Questions 42

Section II Free-Response Questions 42

Composite Score 42

Step 3 Develop Strategies for Success 43

4 Tips for Taking the Exam 45

General Test-Taking Tips 46

Tips for Multiple-Choice Questions 47

Tips for Free-Response Questions 47

Specific Statistics Content Tips 49

Step 4 Review the Knowledge You Need to Score High 51

5 One-Variable Data Analysis 53

Descriptive versus Inferential Statistics 54

Parameters versus Statistics 54

Quantitative versus Categorical (Qualitative) Data 54

Graphical Analysis 55

Measures of Center 60

Estimating Medians From Grouped Data 62

Measures of Spread (Variability) 64

Position of a Term in a Distribution 67

Normal Distribution 69

Rapid Review 73

Practice Problems 75

Cumulative Review Problems 79

Solutions to Practice Problems 80

Solutions to Cumulative Review Problems 85

6 Two-Variable Data Analysis 86

Scatterplots 86

Correlation 88

Linear Models 92

Residuals 95

Coefficient of Determination 97

Outliers and Influential Observations 98

Transformations to Achieve Linearity 99

Rapid Review 101

Practice Problems 102

Cumulative Review Problems 108

Solutions to Practice Problems 109

Solutions to Cumulative Review Problems 113

7 Design of a Study: Sampling, Surveys, and Experiments 114

Samples 115

Sampling Bias 117

Experiments and Observational Studies 119

Rapid Review 124

Practice Problems 125

Cumulative Review Problems 130

Solutions to Practice Problems 130

Solutions to Cumulative Review Problems 134

8 Probability and Random Variables 136

Probability 136

Random Variables 143

Normal Probabilities 147

Simulation and Random Number Generation 149

Transforming and Combining Random Variables 151

Rules for the Mean and Standard Deviation of Combined Random Variables 152

Rapid Review 153

Practice Problems 154

Cumulative Review Problems 160

Solutions to Practice Problems 161

Solutions to Cumulative Review Problems 167

9 Binomial Distributions, Geometric Distributions, and Sampling Distributions 168

Binomial Distributions 168

Geometric Distributions 171

Sampling Distributions 172

Sampling Distributions of a Sample Proportion 176

Rapid Review 177

Practice Problems 178

Cumulative Review Problems 182

Solutions to Practice Problems 182

Solutions to Cumulative Review Problems 186

10 Inference: Estimating with Confidence Intervals 187

Estimation and Confidence Intervals 188

Formula for a Confidence Interval for a Proportion 190

Conditions for a Confidence Interval for a Proportion 190

Construct and Interpret a Confidence Interval for a Proportion 191

Confidence Level as a Capture Rate 192

Sample Size 200

Rapid Review 201

Practice Problems 203

Cumulative Review Problems 208

Solutions to Practice Problems 209

Solutions to Cumulative Review Problems 213

11 Inference: Testing Hypotheses 215

Statistical Significance and P-Value 216

The Hypothesis-Testing Procedure 217

Recap of Hypothesis (Significance) Testing 219

Inference for a Single Population Proportion 220

Type I and Type II Errors and the Power of a Test 222

Inference for the Difference Between Two Population Proportions 225

z-Procedures versus t-Procedures 226

Inference for a Single Population Mean 227

Inference for the Difference Between Two Population Means 229

Rapid Review 232

Practice Problems 235

Cumulative Review Problems 241

Solutions to Practice Problems 241

Solutions to Cumulative Review Problems 248

12 Inference for Regression 250

Simple Linear Regression 250

Inference for the Slope of a Regression Line 252

Confidence Interval for the Slope of a Regression Line 255

Inference for Regression Using Technology 256

Rapid Review 257

Practice Problems 259

Cumulative Review Problems 262

Solutions to Practice Problems 263

Solutions to Cumulative Review Problems 266

13 Inference for Categorical Data: Chi-Squared Tests 268

Chi-Square Goodness-of-Fit Test 268

Inference for Two-Way Tables 273

Rapid Review 279

Practice Problems 280

Cumulative Review Problems 285

Solutions to Practice Problems 285

Solutions to Cumulative Review Problems 289

14 Free Response Question 6: The Investigative Task 290

Solution 293

General Tips for the Investigative Task 294

Step 5 Build Your Test-Taking Confidence 297

AP Statistics Practice Test 1 299

AP Statistics Practice Test 2 327

Appendixes 353

Formula Sheet 355

Tables 357

Bibliography 361

Websites 363

Glossary 365