AP Statistics Premium, 2025: Prep Book with 9 Practice Tests + Comprehensive Review (2025)

Name: AP Statistics Premium, 2025: Prep Book with 9 Practice Tests + Comprehensive Review (2025)
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Author: David Brown

AP Statistics Premium, 2025: Prep Book with 9 Practice Tests + Comprehensive Review (2025) is designed to boost your confidence, covering exam-relevant content, practice tests, and expert study tips.

David Brown

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Acknowledgments
Thanks to my brother, Allan, my sister-in-law, Marilyn, my sons, Jonathan
and Jeremy, my daughters-in-law, Asia and Cheryl, and my grandchildren,
Jaiden, Jordan, Josiah, Luna, Jayme, and Layla, for their heartfelt love and
support. Most of all, thanks are due to my wife, Faith, whose love, warm
encouragement, and always calm and optimistic perspective on life provide a
home environment in which deadlines can be met and goals easily achieved.
My sincere appreciation goes to the participants who have attended my AP
Statistics workshops for teaching me just as much as I have taught them, and
special thanks for their many useful suggestions are due to the following
exceptional teachers:
David Bock Ithaca High School, Ithaca, NY (retired)
Paul Buckley Gonzaga College High School, Washington, DC
Dawn Dentato Somers High School, Lincolndale, NY (retired)
Jared Derksen Rancho Cucamonga High School, Rancho
Cucamonga, CA
Sarah Johnson Grand Blanc High School, Grand Blanc, MI
Lee Kucera University of California, Irvine, CA
Laura Marshall Phillips Exeter Academy, Exeter, NH
Brendan Murphy John Bapst Memorial High School, Bangor, ME
Leigh Nataro Moravian College, Bethlehem, PA
Penny Smeltzer Austin Peace Academy, Austin, TX
Daren Starnes The Lawrenceville School, Lawrenceville, NJ
Josh Tabor Canyon del Oro High School, Oro Valley, Arizona
Doug Tyson Central York High School, York, PA
Jane Viau Frederick Douglass Academy, New York, NY
Dawn White Silver Lake Regional High School, Kingston, MA
Luke Wilcox East Kentwood High School, Kentwood, MI
Dash Young-
Saver
KIPP University Prep High School, San Antonio,
TX

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AP® is a registered trademark of the College Board, which is not affiliated with Barron's and was not
involved in the production of, and does not endorse, this product.
© Copyright 2024, 2023, 2022, 2020, 2019, 2017, 2015, 2013, 2012, 2010, 2007 by Kaplan North
America, LLC, d/b/a Barron’s Educational Series
© Copyright 2004, 2000, 1998 by Kaplan North America, LLC, d/b/a Barron’s Educational Series,
under the title How to Prepare for the AP Advanced Placement Exam in Statistics.
All rights reserved under International and Pan-American Copyright Conventions. By payment of the
required fees, you have been granted the non-exclusive, non-transferable right to access and read the
text of this eBook on screen. No part of this text may be reproduced, transmitted, downloaded,
decompiled, reverse engineered, or stored in or introduced into any information storage and retrieval
system, including but not limited to generative artificial intelligence (gen AI) systems and machine
learning systems, in any form or by any means, whether electronic or mechanical, now known or
hereinafter invented, without the express written permission of the publisher.
Published by Kaplan North America, LLC, d/b/a Barron’s Educational Series
1515 West Cypress Creek Road
Fort Lauderdale, Florida 33309
www.barronseduc.com
ISBN: 978-1-5062-9198-7
10 9 8 7 6 5 4 3 2 1

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About the Author
Dr. Martin Sternstein, Professor Emeritus at Ithaca College, was honored
by Princeton Review as one of the nation’s “300 Best College Professors.”
He is a long-time College Board consultant and has been a Reader and Table
Leader for the AP Statistics exam for many years. He has strong interests in
national educational and social issues concerning equal access to math
education for all. For two years, he was a Fulbright Professor in Liberia,
West Africa, after which he developed a popular “Math in Africa” course,
and he is the only mathematician to have given a presentation at the annual
Conference on African Linguistics. He also taught the first U.S. course for
college credit in chess theory.

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Table of Contents
How to Use This Book
Barron’s Essential 5
Exam Overview
PART 1: DIAGNOSTIC TEST
Diagnostic Test
Answer Explanations
AP Score for the Diagnostic Test
Study Guide for the Diagnostic Test Multiple-Choice Questions
PART 2: UNITS REVIEW
UNIT 1: Exploring One-Variable Data
Categorical Variables
Representing a Quantitative Variable with Tables and Graphs
Describing the Distribution of a Quantitative Variable
Quiz 1
Summary Statistics for a Quantitative Variable
Graphical Representations of Summary Statistics
Comparing Distributions of a Quantitative Variable
Quiz 2
The Normal Distribution
Quiz 3
Summary
UNIT 2: Exploring Two-Variable Data

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Two Categorical Variables
Quiz 4
Two Quantitative Variables
Correlation
Least Squares Regression
Residuals
Outliers, Influential Points, and Leverage
More on Regression
Transformations to Achieve Linearity
Quiz 5
Quiz 6
Summary
UNIT 3: Collecting Data
Retrospective Versus Prospective Observational Studies
Bias
Sampling Methods
Sampling Variability
Quiz 7
Experiments Versus Observational Studies
The Language of Experiments
Replication and Generalizability of Results
Inference and Experiments
Quiz 8
Use Correct Terminology!
Summary
UNIT 4: Probability, Random Variables, and Probability
Distributions
The Law of Large Numbers
Basic Probability Rules
Multistage Probability Calculations

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Quiz 9
Random Variables, Means (Expected Values), and Standard Deviations
Means and Variances for Sums and Differences of Random Variables
Transforming Random Variables
Quiz 10
Binomial Distribution
Geometric Distribution
Quiz 11
Cumulative Probability Distribution
Summary
UNIT 5: Sampling Distributions
Normal Distribution Calculations
Quiz 12
Central Limit Theorem
Biased and Unbiased Estimators
Sampling Distribution for Sample Proportions
Sampling Distribution for Differences in Sample Proportions
Sampling Distribution for Sample Means
Sampling Distribution for Differences in Sample Means
Simulation of a Sampling Distribution
Quiz 13
Summary
UNIT 6: Inference for Categorical Data: Proportions
The Meaning of a Confidence Interval
Conditions for Inference
Confidence Interval for a Proportion
Quiz 14
Quiz 15
Logic of Significance Testing
Significance Test for a Proportion

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Confidence Interval for the Difference of Two Proportions
Significance Test for the Difference of Two Proportions
Quiz 16
Quiz 17
Summary
UNIT 7: Inference for Quantitative Data: Means
The t-Distribution
Confidence Interval for a Mean
Quiz 18
Significance Test for a Mean
Confidence Interval for the Difference of Two Means
Significance Test for the Difference of Two Means
Paired Data
Quiz 19
Simulations and P-Values
Quiz 20
More on Power, Type I Errors, and Type II Errors
Quiz 21
Confidence Intervals Versus Hypothesis Tests
Summary
UNIT 8: Inference for Categorical Data: Chi-Square
Chi-Square Test for Goodness-of-Fit
Chi-Square Test for Independence
Chi-Square Test for Homogeneity
Quiz 22
Summary
UNIT 9: Inference for Quantitative Data: Slopes
Sampling Distribution for the Slope
Confidence Interval for the Slope of a Least Squares Regression Line

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Hypothesis Test for Slope of Least Squares Regression Line
Quiz 23
Quiz 24
Summary
PART 3: FINAL REVIEW
Final Review
Selecting an Appropriate Inference Procedure
Quiz 25
Quiz 26
Statistical Insights into Social Issues
Quiz 27
Quiz 28
The Investigative Task: Free-Response Question 6
Quiz 29
50 Misconceptions
50 Common Errors on the AP Exam
50 AP Exam Hints, Advice, and Reminders
PART 4: PRACTICE TESTS
Practice Test 1
Answer Explanations
Practice Test 2
Answer Explanations
Practice Test 3
Answer Explanations
Practice Test 4

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How to Use This Book
This book provides comprehensive review and extensive practice for the
latest AP Statistics course and exam.
About the Exam
Start with the Exam Overview, which outlines the exam format. Familiarize
yourself with all of the units covered on this test, review the different
question types, and learn how the exam will be scored.
Review and Practice
Study all nine units in Part 2, which are organized according to the nine units
of AP Statistics, and cover the topics recommended by the AP Statistics
Development Committee. Every chapter includes Learning Objectives that
will be covered, a review of each topic, dozens of figures and tables that
illustrate key concepts, and end-of-chapter summaries. Interspersed among
these units are 29 quizzes (mini-AP exams with both multiple-choice and
free-response questions), which should be used as progress checks.
Then, consult Part 3, the Final Review, which has several invaluable sections.
“Selecting an Appropriate Inference Procedure” offers hints on
inference recognition followed by two quizzes on naming the procedure
to use, defining parameters, listing conditions to be checked, and stating
hypotheses, if appropriate.
“Statistical Insights into Social Issues” includes two quizzes of
comprehensive review questions that cover the whole AP Statistics
curriculum. These quizzes aim to give an appreciation of the power of
statistics and show how this subject gives insights into some of society’s
most pressing issues.
“The Investigative Task” helps you prepare for free-response Question

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