AP Statistics Premium, 2025: 9 Practice Tests + Comprehensive Review + Online Practice

✍ Scribed by Martin Sternstein

• Publisher: Barr
• Year: 2024
• Tongue: English
• Leaves: 560
• Category: Library

✦ Synopsis

Be prepared for exam day with Barron's. Trusted content from AP experts!

Barron's AP Statistics Premium, 2025 includes in‑depth content review and online practice. It's the only book you'll need to be prepared for exam day.

Written by Experienced Educators
• Learn from Barron's‑‑all content is written and reviewed by AP experts
• Build your understanding with comprehensive review tailored to the most recent exam
• Get a leg up with tips, strategies, and study advice for exam day‑‑it's like having a trusted tutor by your side

Be Confident on Exam Day
• Sharpen your test‑taking skills with 9 full‑length practice tests‑‑6 in the book, including a diagnostic test to target your studying, and 3 more online–plus detailed answer explanations for all questions
• Strengthen your knowledge with in‑depth review, including hundreds of examples and worked out solutions, covering all Units on the AP Statistics Exam
• Reinforce your learning with 29 quizzes throughout the book that feature hundreds of multiple-choice and free-response practice questions
• Boost your confidence by reviewing key reminders and pitfalls to avoid on test day, advice on selecting the appropriate inference procedure, guidance on calculator usage, and much more

Online Practice
• Continue your practice with 3 full‑length practice tests on Barron's Online Learning Hub
• Simulate the exam experience with a timed test option
• Deepen your understanding with detailed answer explanations and expert advice
• Gain confidence with scoring to check your learning progress

✦ Table of Contents

Cover Page
Title Page
Copyright Page
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
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
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
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
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
Answer Explanations
PART 5: APPENDICES
Appendices
Graphical Displays
Guide to Inference
Templates
Answer Explanations for Quizzes 1–29
Formulas Given on the AP Statistics Exam
AP Scoring Guide
Table A: Standard Normal Probabilities
Table B: t-Distribution Critical Values
Table C: χ2 Critical Values