AP Statistics: The Best Test Prep for the AP

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ARE YOU SERIOUS ABOUT GETTING A 5 ON THE AP* STATISTICS EXAM?

Get fully prepared with the AP* Statistics test prep AP* teachers recommend.

The Most Complete AP* Statistics Subject Review:
Everything you need to know for the Advanced Placement* Statistics exam, selected and presented by seasoned high school and college faculty with extensive...

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Overview


ARE YOU SERIOUS ABOUT GETTING A 5 ON THE AP* STATISTICS EXAM?

Get fully prepared with the AP* Statistics test prep AP* teachers recommend.

The Most Complete AP* Statistics Subject Review:
Everything you need to know for the Advanced Placement* Statistics exam, selected and presented by seasoned high school and college faculty with extensive AP* Statistics experience.

The Best Practice Exams Available:
4 full-length Statistics practice tests based on official AP* exam questions released by the College Board – balanced to include every AP* topic and type of AP* question you can expect on the actual AP* Statistics exam.

Total Explanations of Exam Questions & Answers:
Each Statistics practice test comes with detailed feedback on every question. We don’t just say which answers are right – but why the others are wrong, so you’ll be prepared for the AP* Statistics exam!

Proven Test Prep Methods:
REA’s focused AP* Statistics content and practical advice has helped millions of AP* students score higher. With our step-by-step plan, you can earn a 5 on the AP* Statistics exam and get the credit you deserve!

Recommended by AP Statistics Teachers:
For years, AP Statistics teachers have relied on REA for effective, authoritative Advanced Placement study guides. Our authors include nationally known AP experts who have personally coached generations of successful Advanced Placement students. In our AP Statistics test prep, we’ve combined the insights of high school teachers and college faculty into one powerful volume.

Get the World’s Most Advanced AP* Statistics Software:
REA’s TestWare combines a realistic AP* test environment with the most powerful scoring analysis and diagnostic tools available. With every practice test you take, you’ll gain knowledge and confidence for the real AP* exam. Automatic scoring and instant reports help you zero in on the topics and types of AP* Statistics questions that give you trouble now, so you’ll succeed on the AP* Statistics exam!

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Product Details

  • ISBN-13: 9780738607900
  • Publisher: Research & Education Association
  • Publication date: 10/19/2009
  • Series: Advanced Placement (AP) Test Preparation
  • Edition description: Fourth
  • Edition number: 4
  • Pages: 496
  • Age range: 15 - 17 Years
  • Product dimensions: 6.90 (w) x 9.90 (h) x 1.40 (d)

Meet the Author

Robin Levine-Wissing is currently the Instructional Supervisor for Mathematics and an AP* Statistics Instructor at Glenbrook North High School in Northbrook, Illinois. She holds a bachelor’s degree in Mathematics and Education from American University, in Washington, D.C., a master’s degree in Communication Sciences from Kean University of New Jersey, and an Educational Leadership certificate from North Central College in Naperville, Illinois. 

She has been teaching mathematics for 28 years, AP* Statistics for 10 years, and has been a reader of the AP* Statistics exams for 6 years.  She has been an AP* ­College Board Faculty Consultant and workshop presenter since 2000. Robin is also a current Teachers Teaching with Technology (T^3) National Instructor, training teachers on handheld and computer technology for mathematics classes. She has presented workshops across the United States, Hawaii, and Canada for teachers of mathematics and statistics. Robin was the 1993 recipient of the Presidential Award for Excellence in Mathematics Teaching, a 1998 Tandy Technology Scholar, and 1996 Clark County Teacher of the Year. 
 

David Thiel is a 20-year teacher of mathematics and physics in Las Vegas, ­Nevada, and has a passion for probability and statistics. He has been teaching statistics for 15 years and has been involved in the Advanced Placement* Statistics Program since its inception in 1996. He is a College Board consultant for AP* Statistics and has been an exam reader for 6 years.  

David presently spends his days as a K-12 mathematics specialist for the Southern Nevada Regional Professional Development Program, where he provides training to teachers of all levels in mathematics content and pedagogy. David is also an adjunct professor in the Department of Economics and the University of Nevada-­Las Vegas, where he teaches courses in introductory statistics. David has earned several honors in his teaching career, including the Presidential Award for Excellence in Mathematics Teaching, the Tandy Technology Scholars Award, and Outstanding Part-time Instructor at UNLV.  He is a graduate of Montana State University, from which he holds both a B.S. and an M.S. in Mathematics.  
 
 
 
 

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Read an Excerpt

Making the Grade on the AP Statistics Exam 

About the Book and TestWare®

This book and the accompanying software provides an accurate and complete representation of the Advanced Placement Statistics Examination. The four full-length practice exams included are based on the most recently administered AP Statistics Exam. Each of our practice tests is designed within the official timeframe of a 3-hour administration and includes every type of question that you can expect to encounter on the actual exam. Following each of our practice exams is an answer key complete with detailed explanations designed to clarify and contextualize the material for you. Practice Tests 1 and 2 are included in two formats: in printed form in this book and in TestWare® format on the enclosed CD. We recommend that you begin your preparation by first taking the computerized version of your test. 
 
The software provides timed conditions and instantaneous, accurate scoring, which makes it all the easier to pinpoint your strengths and weaknesses.

In addition, to help make your preparation for the exam more realistic and to aid you in brushing up on areas of weakness, the following are provided at the end of this book:

•     Actual formula sheets and statistical tables that you will be given to use during the AP Statistics Examination. (Appendix A)

•     A glossary of key terms. (Appendix B)

•     A cross-reference of the practice exam problems and the topics in the AP Statistics Topic Outline they test. (Appendix C)

By studying the review section, completing all four practice exams, and studying our step-by-step explanations, you will pinpoint your strengths and weaknesses and, above all, put yourself in the best possible position to master the AP Statistics Examination.

ABOUT THE EXAM
The Advanced Placement Statistics Examination is offered each May at participating schools and multischool centers throughout the world.

The Advanced Placement Program is designed to provide high school students with the opportunity to pursue college-level studies while still attending high school. The results of these exams are used by colleges and universities in the awarding of credit for introductory courses and placement in programs of study. 

The Advanced Placement Statistics Course is designed to be the equivalent of an introductory college course. The AP Statistics Exam covers material in the following areas: 

1.   Exploring Data: Describing patterns and departures from patterns (20–30%); 
 
2.   Sampling and Experimentation: Planning and conducting a study (10–15%); 

3.  Anticipating Patterns: Exploring random phenomena using probability and simulation (20–30%); 

4.  Statistical Inference: Estimating population parameters and testing hypotheses (30–40%); 

Each review chapter in this book covers one of the four content areas.

 
Format of the Exam 
The AP Statistics Exam consists of two 90-minute sections: 
•     Section I consists of 40 multiple-choice questions, each with five possible answers. This section counts 50% of the examination grade. 

•     Section II counts 50% of the examination grade and is made up of two parts. 

(a)    
Part A is five free-response questions. Each question is designed to be answered in approximately 12 minutes. This part counts for 75% of the Section II score. 

(b)    
Part B is one question known as the “investigative task.” It tests several concepts and procedures from multiple content areas in the context of a single problem. This investigative task is designed to be answered in about 30 minutes and counts as 25% of the Section II score. 

In Section I, you will earn one point for each correct answer and lose one-fourth of a point for each incorrect answer. 

In Section II, each problem is scored holistically on a 0–4 scale. These scores can be generally interpreted as follows: 

•     4 = Complete Response
•     3 = Substantial Response
•     2 = Developing Response
•     1 = Minimal Response
•     0 = No Credit

Each problem in Section II is scored for accuracy and completeness of statistical methods, and on the strength of communication. About half of the score on any problem can be considered to be how well you communicate about the concepts involved and the conclusions you reach. Calculations alone will not earn full credit. 

The Use of Calculators 
Graphing calculators with statistical capabilities can be used during the AP Statistics Exam. Each student is expected to bring his or her own on exam day. Although it is possible to do well on the exam without a calculator, not having one is a disadvantage. In fact, you are allowed to bring two calculators, if you wish. 

Each student should have a working calculator to aid in computation and performing statistical procedures. Know how to use it before going into the exam. An unfamiliar calculator will be a hindrance during the exam. Practice using it. 

Only certain calculators are allowed on the AP Statistics Exam. Calculators with QWERTY-type keyboards or those with paper tape printers are not allowed. A complete list of those allowed and disallowed can be found on College Board’s Web site at www.collegeboard.com/student/testing/ap/sub_stats.html?stats.  

This book has calculator instructions for the Texas Instruments TI-84 series calculators. Nearly all instructions can be used for the TI-83 series, but some commands on TI-84 are not available on TI-83. If you have questions about the capabilities of your calculator, consult your owner’s manual.
Finally, the calculator is a tool and not a substitute for knowledge. You must be able to communicate clearly and demonstrate your understanding of statistics. Simply writing down a computation from the calculator may earn little or no credit. Remember, although this book has calculator instruction so that you can use it as a tool on the exam, this book also takes you through the steps to be successful without a calculator.  

How To Use This Book and TestWare®  
What do I study first?  
To begin your studies, read over this introduction and the suggestions for test taking. Take Practice Test 1 on CD. This will allow you to determine your strengths and weaknesses. Next, study the course review material focusing on your specific problem areas. The course review includes the information you need to know when taking the exam. Then take Practice Test 2 on CD and Practice Tests 3 and 4 in this book. To best utilize your study time, follow our Independent Study Schedule, which you will find in the front of this book.  

SSD accommodations for students with disabilities  
Many students qualify for extra time to take the AP Exams and our TestWare can be adapted to accommodate your time extension. This allows you to practice under the same extended time accommodations that you will receive on the actual test day. To customize your TestWare to suit the most common extensions, visit our website at www.rea.com/ssd.  

Studying for Your AP Examination  
It is never too early to start studying. The earlier you begin, the more time you will have to sharpen your skills. Do not procrastinate! Cramming is not an effective way to study, since it does not allow you the time needed to learn the test material.  

It is very important for you to choose the time and place for studying that works best for you. Some students may set aside a certain number of hours every morning to study, while others may choose to study at night before going to sleep. Other students may study during the day, while waiting in a line, or even while eating lunch. Only you can determine when and where your study time will be most effective. But be consistent and use your time wisely. Work out a study routine and stick to it!
When you take the practice exam(s), try to make your testing conditions as much like the actual test as possible. Turn your television and radio off, and sit down at a quiet table free from distraction. Make sure to time yourself. 

Complete the practice test(s), score your test(s), and thoroughly review the explanations for the questions you answered incorrectly. However, do not review too much during any one sitting. Concentrate on one problem area at a time by reviewing the question and explanation, and by studying our review(s) until you are confident that you completely understand the material.  

Since you will be allowed to write in your test booklet during the actual exam, you may want to write in the margins and spaces of this book when practicing. However, do not make miscellaneous notes on your answer sheet. Mark your answers clearly and make sure the answer you have chosen corresponds to the question you are answering.  

Keep track of your scores! This will enable you to gauge your progress and discover general weaknesses in particular sections. You should carefully study the reviews that cover the topics causing you difficulty, as this will build your skills in those areas.  

To get the most out of your studying time, we recommend that you follow the Study Schedule. It details how you can best budget your time.  

TEST TAKING TIPS  
The Multiple-Choice Section  
You have 90 minutes to do 40 questions in this section, a little over 2 minutes per question. Most students find this to be an ample amount of time. It is recommended that you go through the questions one at a time; answering those you know how to do. If you are not sure about a question, skip it and go on. You have time. Just make sure that you are marking the answer sheet for the question you are answering.  

After you have gone through the test once, go back again and do the questions you skipped. You may need to read a question several times to understand it. You may be able to eliminate several of the choices. Do not panic, you still have time. Keep a steady pace and do not get hung up on a single question. 

The scoring system for the multiple-choice section gives no advantage or disadvantage to blind guessing. However, if you can eliminate choices that you know are wrong, you increase your chance of guessing the correct answer. In that case, go for it! Narrowing the correct answer down to two or three choices gives you an advantage if you must now guess. 

The Free-Response Section  
You have 90 minutes to complete six free-response questions in this section. Question 6 is worth about double what the other five questions are worth and therefore demands more time. It is recommended that you read through all of the questions before you begin working. Then first attempt the questions that you know how to do.  

Watch your time. It is easy to get caught up in a question and spend a lot of time on it. Also realize that because Question 6 is worth about double each of the other five, you shouldn’t save it for last when you may run out of time. You should begin this question with at least 45 minutes left in the exam. It is important to get something down for Question 6. Once you have completed those questions you know how to do, and have tackled Question 6, go back and do those you skipped. Try to at least answer each part of all six questions. You cannot earn credit for leaving a question blank. 

Some questions will have several parts. Sometimes one part leads to another; sometimes it will not. If you are having trouble with one part, you should still attempt the next part. Even if you miss one part, you may still get credit for the next. 

Communicate clearly and succinctly. Explain what you are doing and why. Answer the question in the context of the scenario provided. Answer the question as if you were teaching the grader the concept or procedure. Graders want to give you credit, but they are not mind readers.  

Do not ramble. Say what you need to say to answer the question and stop. You may have extra space on the paper—do not feel compelled to fill it up. Many a student has written more than was needed, made a contradictory statement, and lost credit.  

Write legibly. If graders cannot read it, you may not get credit. If you have poor penmanship, practice that too in the months before the exam.  

Do not provide calculator syntax as your explanation of a procedure. If you use the calculator, explain what you did statistically, in words, while providing the results of the calculator output.  

CONTACTING THE AP PROGRAM  
For registration bulletins or more information about the AP Statistics exam, contact: 

AP Services 
P.O. Box 6671 
Princeton, NJ 08541-6671 
Phone: (609) 771-7300 or (888) 225-5427 
Web site: www.collegeboard.com 

Good luck on your AP Statistics exam! 
 
 

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Table of Contents

CONTENTS
About Our Authors/Staff Acknowledgments
About REA
Independent Study Schedule
Installing REA’s TestWare®
Introduction

Chapter 1 Exploring Data 


A. Constructing and Interpreting Graphical Displays of Distributions of Univariate Data Variables 
Describing Distributions of Quantitative Data
Constructing Displays of Quantitative Data
Trial Run
Trial Run Solutions

B. Summarizing Distributions of Univariate Data
Measuring Center: Mean and Median
Measuring Spread: Range, Interquartile Range, Standard
Deviation, Variance, and Outliers
Constructing Box-and-Whisker Plots
Measuring Position: Quartiles, Percentiles, Standardized Scores
Computer Printout of Summary Statistics
The Effect of Changing Units on Summary Measures
Trial Run
Trial Run Solutions

C. Comparing Distributions of Univariate Data (Dotplots, Back-to-Back Stemplots, Parallel Boxplots)
Trial Run
Trial Run Solutions

D. Exploring Bivariate Data
Analyzing Patterns in Scatterplots
Correlation
Least-Squares Regression Line
Computer Printout of Least-Squares Regression Residual Plots, Outliers, and Influential Points
Transformations to Achieve Linearity: Logarithmic and Power Transformations
Trial Run
Trial Run Solutions

E. Exploring Categorical Data
Two-Way Tables
Trial Run
Trial Run Solutions

Chapter 2 Sampling and Experimentation 

A. Overview of Methods of Data Collection
Trial Run
Trial Run Solution 

B. Planning and Conducting Surveys 
Sampling Methods
Bias and Sampling Error
Sampling with Random Digit Tables 
Trial Run
Trial Run Solutions

C. Planning and Conducting Experiments
Characteristics of a Well-Designed Experiment
Experiment Designs
Trial Run
Trial Run Solutions

D. Generalizability of Results and Types of Conclusions That  Can Be Drawn from Observational Studies, Experiments, and Surveys
Trial Run
Trial Run Solutions

Chapter 3 Anticipating Patterns  

A. Probability
Discrete Random Variables
Binomial Random Variables
Geometric Random Variables
Simulations of Random Phenomena
Linear Transformations of Random Variables
Trial Run
Trial Run Solutions

B. Combining Independent Random Variables
Trial Run 
Trial Run Solutions   

C. The Normal Distribution 
Probability Distributions of Continuous Random Variables  
Properties of the Normal Distribution 
Normal Approximation of the Binomial Distribution  
Trial Run 
Trial Run Solutions 

D. Sampling Distributions 
The Sampling Distribution of a Sample Proportion
The Sampling Distribution of a Sample Mean
The Sampling Distribution of the Difference Between Two Independent Sample Proportions
The Sampling Distribution of the Difference Between Two Independent Sample Means
Standard Error t-distributions 
(Chi-Square) Distributions
Trial Run 
Trial Run Solutions

Chapter 4 Statistical Inference  

A: Estimation (Point Estimators and Confidence Intervals)
Point and Interval Estimates
Interpreting Confidence Level and Confidence Intervals
General Formula for Confidence Intervals
General Procedure for Inference with Confidence Intervals
Confidence Intervals for Proportions
Confidence Intervals for the Difference Between Two Proportions
Confidence Intervals for Means
Confidence Intervals for Means with Paired Data
Confidence Intervals for the Difference Between  Two Means
Confidence Intervals for the Slope of the Regression Line
Trial Run
Trial Run Solutions

B: Tests of Significance
The Two Hypotheses
Statistical Significance and P-Values
Decision Errors in Hypothesis Tests
Power
General Procedure for Inference with Hypothesis Tests
Hypothesis Tests for Proportions
Hypothesis Tests for the Difference Between Two Proportions
Hypothesis Tests for Means
Hypothesis Tests for Means with Paired Data
Hypothesis Tests for the Difference Between Two Means
Duality of Confidence Intervals and Hypothesis Tests
Inference for Categorical/Count Data
Chi-Square Test of Goodness of Fit
Chi-Square Test of Homogeneity
Chi-Square Test of Independence
Hypothesis Tests for the Slope of the Regression Line
Trial Run
Trial Run Solutions

PRACTICE EXAMINATION 1
Answer Key
Detailed Explanations of Answers

PRACTICE EXAMINATION 2 
Answer Key
Detailed Explanations of Answers

PRACTICE EXAMINATION 3
Answer Key
Detailed Explanations of Answers

PRACTICE EXAMINATION 4
Answer Key
Detailed Explanations of Answers

APPENDIX A: FORMULAS AND TABLES 
APPENDIX B: GLOSSARY

APPENDIX C: INDEX OF PRACTICE EXAM PROBLEMS

REFERENCES

Index

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