Worldwide Statistics: Think & Do
for use with AP® Statistics

Scott Stevens




Worldwide Statistics: Think & Do
for use with AP® Statistics

Worldwide Statistics: Think & Do
for use with AP® Statistics

ISBN-10: 0-9885572-3-1
ISBN-13: 978-0-9885572-3-9
318 pages

©2015 Worldwide Center of Mathematics, LLC

Digital PDF | $9.95 go >
Print BW (Spiral Bound) | $29.95 go >


Stevens’ AP Statistics: Think & Do, is a new kind of textbook/workbook that integrates theoretical content with demonstrative examples and exercises in a page by page bullet-point format, with content fully adapted to the AP curriculum. The streamlined presentation of information makes this book ideal for any busy AP student. It is organized in such a way that new content is initially summarized at the top of the page, followed by a completed demonstrative example and then immediately followed by a “Your Turn” unfinished example for the students to complete. While this format is certainly typical in a classroom lecture, it is often difficult for the students to keep up with the lecture or faithfully map the lecture material to the corresponding content found in a traditional textbook. Stevens’ book alleviates these problems by combining lecture notes, examples, exercises, and textbook content into a single, well-organized workbook. This book is meticulously constructed in such a way that each page can be presented as an overhead slide. Unlike many textbooks, the presentation is not written in a conversational tone. Rather, it is presented in bullet-point format, greatly increasing its effectiveness as a study tool for the AP test. This also allows the instructor to discuss the material in a context of their preference without being confined to the way a traditional textbook might present information. This is an affordable one-time-use book with space provided for students to apply the printed material and complete examples in class. Recognizing that every AP Statistics class has a lot of material to cover in a restricted amount of time, this text/workbook is designed for instructors who feel they currently spend too much time presenting new material and not enough time ‘doing’ it.




1. Introduction
1.1 Statistics and Data
1.2 Sampling
1.3 Lying with Statistics and Percentages
1.4 Observational Studies and Experiments

2. Descriptive Statistics
2.1 Averages
2.2 Range, Standard Deviation, and Variance
2.3 Measures of Relative Standing: z-scores
2.4 Measures of Relative Standing: Quartiles, Percentiles, and Box Plots
2.5 Weighted Averages and Simpson’s Paradox

3. Statistical Tables and Graphs
3.1 Frequency Distributions
3.2 Histograms
3.3 Other Graphs for Quantitative Data
3.4 Tables and Graphs for Qualitative Data

4. Introduction to Probability
4.1 Basics
4.2 Conditional Probability
4.3 The Addition Rule
4.4 The Multiplication Rule
4.5 One Bad Apple – Probabilities of At Least One

5. Discrete Probability Distributions – Binomial and Geometric Distributions
5.1 Discrete Random Variables and Probability Distibutions
5.2 Binomial Probability Distributions
5.3 Mean and Standard Deviation of a Binomial Distribution
5.4 The Geometric Distribution

6. Continuous Probability Distributions – Normal Distributions
6.1 Continuous Random Variables and the Standard Normal Distribution
6.2 Normal Distributions in General
6.3 Sampling Distributions
6.4 The Central Limit Theorem
6.5 The Normal Approximation to the Binomial Distribution

7. Point Estimates and Confidence Intervals
7.1 Introduction to Confidence Intervals
7.2 Estimating a Population Mean and Sample Size (σ known)
7.3 Estimating a Population Proportion and Sample Size
7.4 Estimating a Population Mean (σ unknown)
7.5 A Summary and Some Loose Ends

8. Hypothesis Testing – One Sample
8.1 Foundations of Hypothesis Testing
8.2 Hypothesis Tests About a Proportion
8.3 Hypothesis Tests About a Mean: σ Not Known
8.4 Hypothesis Tests About a Mean: σ Known (optional)

9. Hypothesis Testing – Two Samples
9.1 Hypothesis Tests for Mean Differences: Paired Data
9.2 Hypothesis Tests for Two Means: Independent Data
9.3 Hypothesis Tests for Two Proportions

10. Correlation and Regression
10.1 Correlation
10.2 Linear Regression
10.3 Linearity and Transformations
10.4 The Hypothesis Test Behind the Scenes
10.5 Multiple Linear Regression: Controlling for Variables – An Introduction

11. Additional Hypothesis Tests
11.1 Chi-Squared Test for Goodness of Fit
11.2 Chi-Squared Test of Independence
11.3 ANOVA – An Introduction




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Scott Stevens
Scott Stevens is an Associate Professor of Mathematics and Statistics at Champlain College. He spent the early part of his career teaching upper level and graduate courses in mathematics and statistics while researching nonlinear dynamics in the context of biological fluid dynamics. For the past 5 years he has been teaching statistics and other introductory math courses to non-math majors. Outside of teaching, he continues to do research involving the analysis of large data sets for intracranial pressure dynamics of traumatic brain injury patients at Fletcher Allen Hospital in Burlington, Vermont.

Adam- we need a bio for the other Author - Aleena Mosher