Introduction to Statistics: Think & Do

Scott Stevens




Introduction to Statistics: Think & Do

Introduction to Statistics: Think & Do; v4.1
Scott Stevens – Champlain College

ISBN-10: 0-9885572-2-3
ISBN-13: 978-0-9885572-2-2
298 Pages
©2015 Worldwide Center of Mathematics, LLC

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


Stevens’ Introduction to 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. Recognizing that most introductory statistics students will not read a statistics textbook on their own, this text is meant to be presented in class by the instructor. 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 classroom lecture it is often difficult for the students to keep up with the lecture and/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. It is presented in bullet-point format allowing the instructor to discuss the material in a context of their preference without reading the slides to the students.
This is an affordable one-time-use book with space provided for students to augment the printed material and complete the examples in class. Recognizing that every 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
Discussion Problems
Summary Worksheet
Problem Set

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 & Simpson’s Paradox
Discussion Problems
Summary Worksheet
Problem Set

3 Statistical Tables and Graphics
3.1 Frequency Distributions
3.2 Histograms
3.3 Other Statistical Graphics
Summary Worksheet
Problem Set

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
Discussion Problems
Summary Worksheet
Problem Set

5 Discrete Probability Distributions - Binomial Distributions
5.1 Discrete Random Variables and Probability Distributions
5.2 Binomial Probability Distributions
5.3 Mean and Standard Deviation of a Binomial Distribution
Discussion Problems
Summary Worksheet
Problem Set

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
Summary Worksheet
Problem Set

7 Confidence Intervals
7.1 Introduction to Confidence Intervals
7.2 Estimating a Population Mean and Sample Size (known)
7.3 Estimating a Population Proportion and Sample Size
7.4 Estimating a Population Mean ( unknown)
7.5 A summary and some loose ends
Discussion 1: Nate Silver - 2012 Election
Discussion 2: Estimating a Population Size
Summary Worksheet
Problem Set

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:   Not Known
8.4 Hypothesis Tests About a Mean:   Known (Optional)
Summary Worksheet
Problem Set

9 Hypothesis Testing - Two Samples
9.1 Hypothesis Tests for Mean Di↵erences: Paired Data
9.2 Hypothesis Tests for Two Means: Independent Data
9.3 Hypothesis Tests for Two Proportions
Summary Worksheet
Problem Set

10 Correlation and Regression
10.1 Correlation
10.2 Linear Regression
10.3 The Hypothesis Test Behind the Scenes
10.4 Multiple Linear Regression: Controlling for Variables - An Introduction
Summary Worksheet
Problem Set

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
Summary Worksheet
Problem Set

Detailed Solutions to Summary Worksheets




  • The text is written in bullet-point format for the purpose of structured presentation and student review.

  • Each topical presentation immediately incorporates student participation in the form of unfinished “Your Turn” examples.

  • Each instructor gets a PDF copy of the student version for presentation purposes.

  • Each instructor gets a PDF copy of the instructor’s version which has detailed solutions to all examples and exercises.

  • The text does not emphasize theoretical details. Important details are footnoted or presented at the end of the chapter.

  • Detailed solutions to selected exercises are presented in the back of the student version - not just the answers.

  • Each chapter ends with a summary worksheet (intended for in-class work). Detailed solutions are provided at the end of the student version and embedded within the instructor version.

  • Examples and exercises regularly demonstrate how the interpretation of answers can be misleading.

  • Emphasis is placed on similar problems with different sample sizes and different confidence/significance levels.

  • Emphasis is placed on writing understandable conclusions and interpretations.

  • The content is not software intensive or specific.

  • Technology demonstrations, organized by chapter, for Excel, TI-82, TI-83/84, SPSS, and Minitab are available at the Technology Demonstration Pages.




WebAssign Online Homework and Grading: go>
WebAssign is the leading provider of powerful online instructional tools for faculty and students. Students enter their answers online, and WebAssign automatically grades the assignment and gives students instant feedback on their performance. Much more than just a homework grading system, WebAssign delivers secure online testing, customizable pre-coded questions from a wide range of math and science textbooks, and unparalleled customer service.

Online Video Lectures by Chapter: go>
In these videos, the author summarizes the content, reviews the examples and demonstrates step-by-step solutions to all of the 'Your Turn' problems found in the text/workbook.

Web Technology Pages:
While Stevens’ workbook is not software intensive or specific, much of the material is amenable to software applications and the results obtained from various packages are presented throughout the text. The Technology Demonstration Pages give instructions and demonstrations for Excel, SPSS, TI-82, TI-83/84, and Minitab organized by chapter. Links to this website are embedded within the electronic version of the text for easy reference to this web material during class lecture.




Student Testimonials (Fall 2012- with WebAssign)

"The textbook was great! It kept me focused and gave me a space to keep all my homework together. I would have failed this class without this book."

"The workbook was WAY better than a conventional text."

"The workbook does a good job of teaching the material and provides the opportunity to learn the material by immediately doing it."

"The text was much more useful than most textbooks. The fact that it could be used in class and at home worked well. Webassign was great. The fact that you could ‘practice another problem’ and see how to solve it was very helpful for me."

"I loved the textbook! It is the first one that I have ever really used and the format made it easier to stay organized as well as understand the material."

"The textbook really helps a lot because it includes notes, examples, and problems so that I can apply the notes immediately to solve problems. It helped me follow along and keep everything organized."

"I especially liked how we would go over an example and then immediately do a problem ourselves. WebAssign helped solidify the concepts and prepare for the exams. I really liked the option to ‘Practice Another Version’."

"The combination of the textbook and WebAssign was great. It made taking a math course less stressful than usual. I would even consider taking a second course in statistics now."

"I have never had a textbook that was also a workbook. It is a great way to learn and WebAssign is the best online homework website I have used."

Student Testimonials (Spring 2012- with WebAssign)

“The follow-along textbook is fantastic and really helps visual learners like me. Using WebAssign is also good, it makes it easy to try another problem and learn from that. “

“The book is great.  It helped me keep track of my work better and isn’t as overwhelming as a regular math textbook. Also, it costs about a fourth of the price, which is nice. “

“The best part about the online homework is the fact that it tells you if you got the problem wrong, allows you to ‘try another version’, and gives you 5 tries to get it right.  The textbook is easy to understand and easy to go through.”

“[The] textbook was very helpful. I had all of the needed formulas and examples to help me solve the homework problems. Also, WebAssign is a great tool to gauge students understanding of the material.“

“I liked the online homework.  I had a better experience with WebAssign that I have had with other programs.  The book was well done and helped me in a variety of ways.”

“The textbook was very helpful. It was one of the best textbooks I have seen.   I took AP Stats in high school and could not understand any of the information but when you taught it, I was able to understand it.  I like the WebAssign online homework because if I did not know something I could try another version and learn from my mistakes. “

“The textbook made learning the material a lot easier for me. There weren’t unnecessary long paragraphs full of explanations that would just end up making me more confused in the end.  I like WebAssign because if I didn’t understand how to do a problem, I could always see another version. “

Student Testimonials (Fall 2011)

“The thing that helped me the most was the detailed answers to the starred problems in the back of the book. This helped because I would do the starred problems first and see if I got them correct. “

“Great book! Easy to read and very useful for in-class work. “

 “I liked the layout of the book and how some of the problems had detailed solutions in the back. “

“I thought the book was great.  It was clear and concise. It had the main points and the formulas outlined. “

“The in-class workbook is an awesome way to teach stats. “





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.