Painless Statistics

by Patrick Honner

Overview

Whether you’re a student or an adult looking to refresh your knowledge, Barron’s Painless Statistics provides review and practice in an easy, step-by-step format.

An essential resource for:

• Virtual learning
• Homeschool
• Learning pods
• Supplementing classes/in-person learning

Inside you’ll find:

• Clear examples for all topics, including data and distributions, basic probability, confidence intervals, bivariate statistics, and much more
• Diagrams, charts, and instructive math illustrations
• Painless tips, common pitfalls, and informative sidebars
• Math talk boxes that translate complex “math speak” into easy-to-understand language
• Brain Tickler quizzes throughout each chapter to test your progress

Product Details

ISBN-13:	9781506281599
Publisher:	Barrons Educational Services
Publication date:	06/07/2022
Series:	Barron's Painless
Sold by:	SIMON & SCHUSTER
Format:	eBook
Pages:	350
Sales rank:	639,346
File size:	15 MB
Note:	This product may take a few minutes to download.
Age Range:	11 - 14 Years

About the Author

About the Author
Patrick Honner, M.S.Ed. (Brooklyn, New York) has been teaching mathematics for more than 20 years, and he has spent the past 17 years at New York City’s specialized high schools, teaching a variety of courses (from introductory algebra to multivariable calculus) that involve basic statistics, probability and statistics, and statistical regression. Patrick has received several teaching honors, including the Presidential Award for Excellence in Mathematics and Science Teaching, the Muller Prize for Professional Influence in Education, and the Math for America’s Master Teacher Fellowship. His work has appeared in the New York Times Learning Network, and he writes a column for Quanta Magazine where he connects active math research to classrooms and curricula. 

About the Publisher
In the 1930s, Manuel H. Barron opened a bookstore in Brooklyn, New York. 

People from the community asked Mr. Barron about books that might be available to help their children study for the New York State Regents exams. After realizing there wasn't anything available, Mr. Barron created his own study guides.

80 years later, Barron's has helped millions of people prepare for their next step.

Table of Contents

How to Use This Book vi

Chapter 1 An Introduction to Data 1

An Example of Working with Data 1

The Center of a Data Set 2

The Spread of a Data Set 5

Interpreting Data 11

Brain Ticklers-The Answers 14

Chapter 2 Data and Representations 17

Types of Data 17

Representations of Data 21

Discrete Data vs. Continuous Data 36

Brain Ticklers-The Answers 41

Chapter 3 Descriptive Statistics 43

Measures of Center 43

Measures of Spread 51

Deviation 60

Brain Ticklers-The Answers 68

Chapter 4 Distributions of Data 71

The Shape of Data 71

The Uniform Distribution 78

The Binomial Distribution 88

The Geometric Distribution 93

Other Distributions 96

Brain Ticklers-The Answers 100

Chapter 5 The Normal Distribution 103

Normally Distributed Data 103

Comparing Data Using z-Scores 112

Standard Normal Tables 119

When to Use the Normal Distribution 125

Brain Ticklers-The Answers 127

Chapter 6 The Fundamentals of Probability 129

Basic Probability 129

Properties of Probability 138

The Binomial Probability Distribution 148

Brain Ticklers-The Answers 156

Chapter 7 Conditional Probability 159

The Basics of Conditional Probability 159

Independent Events 166

Bayes' Theorem 171

Brain Ticklers-The Answers 175

Chapter 8 Statistical Sampling 177

Populations and Samples 177

Sampling Distributions 182

Sample Proportions 187

Sample Means 194

Brain Ticklers-The Answers 199

Chapter 9 Confidence Intervals 201

Making Inferences from Data 201

Estimating with Confidence 202

Different Levels of Confidence 208

Population Proportions and Standard Error 215

Brain Ticklers-The Answers 220

Chapter 10 Statistical Significance 221

Significance Testing 221

One-Sided and Two-Sided Tests 231

Type I and Type II Errors 238

Brain Ticklers-The Answers 245

Chapter 11 Bivariate Statistics 247

The Basics of Bivariate Data 247

Correlation 259

Linear Regression 266

Brain Ticklers-The Answers 275

Chapter 12 Statistical Literacy 277

Experiments and Studies 277

Surveys and Polls 285

Evaluating the Validity of Statistical Arguments 289

Brain Ticklers-The Answers 296

Appendix: Standard Normal Table 297

Index 301