A Pathway To Introductory Statistics by Jay Lehmann

A Pathway To Introductory Statistics

byJay Lehmann

Paperback | September 25, 2015

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For a one-semester alternative to the traditional two-semester developmental algebra sequence that prepares students specifically for an Introductory Statistics course.


Looking for a new path in algebra?

Using authentic data to make math meaningful to students, Jay Lehmann’s A Pathway to Introductory Statistics provides a one-semester alternate path through developmental algebra to accelerate and prepare non-STEM students for introductory statistics. For many students’ majors, the most fitting college-level math course is statistics. Tailoring their developmental sequence–in both content and approach–to prepare students for this course of study can only improve their success. Infused with highly relevant data sets throughout, Lehmann presents students with both an introduction to descriptive statistics and the requisite algebra topics needed for a statistics course, while demonstrating the close link between the two subjects. This text equips students to reason statistically as they discover the skills and concepts they’ll need for statistics.


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About The Author

Jay Lehmann has taught at College of San Mateo for more than twenty years, where he has received the Shiny Apple Award for excellence in teaching. He has worked on a NSF-funded grant to study classroom assessment and has performed research on collaborative directed-discovery learning. Jay has served as the newsletter editor for CMC3 ...

Details & Specs

Title:A Pathway To Introductory StatisticsFormat:PaperbackDimensions:848 pages, 10.6 × 8.4 × 1.2 inPublished:September 25, 2015Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0134107179

ISBN - 13:9780134107172

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Extra Content

Table of Contents

1. Performing Operations and Evaluating Expressions

1.1 Variables, Constants, Plotting Points, and Inequalities

1.2 Expressions

1.3 Operations with Fractions and Proportions; Converting Units

1.4 Absolute Value and Adding Real Numbers

1.5 Change in a Quantity and Subtracting Real Numbers

1.6 Ratios, Percents, and Multiplying and Dividing Real Numbers

1.7 Exponents, Square Roots, Order of Operations, and Scientific Notation

            Hands-On Projects: Stocks Project


2. Designing Observational Studies and Experiments

2.1 Simple Random Sampling

2.2 Systematic, Stratified, and Cluster Sampling

2.3 Observational Studies and Experiments

            Hands-On Projects: Survey about Proportions Project; Online Report Project


3. Graphical and Tabular Displays of Data 

3.1 Frequency Tables, Relative Frequency Tables, and Bar Graphs

3.2 Pie Charts and Two-Way Tables

3.3 Dotplots, Stemplots, and Time-Series Plots

3.4 Histograms

3.5 Misleading Graphical Displays of Data

            Hands-On Projects: Student Loan Default Project


4. Summarizing Data Numerically

4.1 Measures of Center

4.2 Measures of Spread

4.3 Boxplots

            Hands-On Projects: Comparison Shopping of Cars Project


5. Computing Probabilities

5.1 Meaning of Probability

5.2 Complement and Addition Rules

5.3 Conditional Probability and the Multiplication Rule for Independent Events

5.4 Finding Probabilities for a Normal Distribution

5.5 Finding Values of Variables for Normal Distributions

            Hands-On Projects: Heights of Adults Project


6. Describing Associations of Two Variables Graphically

6.1 Scatterplots

6.2 Determining the Four Characteristics of an Association

6.3 Modeling Linear Associations

            Hands-On Projects: Climate Change Project; Volume Project

            Linear Graphing Project: Topic of Your Choice 421


7. Graphing Equations of Lines and Linear Models; Rate of Change

7.1 Graphing Equations of Lines and Linear Models

7.2 Rate of Change and Slope of a Line

7.3 Using Slope to Graph Equations of Lines and Linear Models

7.4 Functions

            Hands-On Projects: Climate Change Project; Workout Project; Balloon Project


8. Solving Linear Equations and Inequalities to Make Predictions 

8.1 Simplifying Expressions

8.2 Solving Linear Equations in One Variable

8.3 Solving Linear Equations to Make Predictions

8.4 Solving Formulas

8.5 Solving Linear Inequalities to Make Predictions


9. Finding Equations of Linear Models 

9.1 Using Two Points to Find an Equation of a Line

9.2 Using Two Points to Find an Equation of a Linear Model

9.3 Linear Regression Model

            Hands-On Projects: Climate Change Project; Golf Ball Project;

            Rope Project; Shadow Project; Linear Project: Topic of Your Choice


10. Using Exponential Models to Make Predictions 

10.1 Integer Exponents

10.2 R ational Exponents

10.3 G raphing Exponential Models

10.4 Using Two Points to Find an Equation of an Exponential Model

10.5 E xponential Regression Model

            Hands-On Projects: Stringed Instrument Project; Cooling Water Project

            Exponential Project: Topic of Your Choice



A. Using A TI-84 Graphing Calculator A-1

A.1 Turning a Graphing Calculator On or Off

A.2 Making the Screen Lighter or Darker

A.3 Selecting Numbers Randomly

A.4 Entering Data for a Single Variable

A.5 Constructing a Frequency Histogram

A.6 Computing Median, Mean, Standard Deviation, and other Measures

A.7 Constructing a Boxplot

A.8 Computing Probabilities for a Normal Distribution

A.9 Finding a Value of a Variable for a Normal Distribution

A.10 Constructing a Time-Series Plot or Scatterplot

A.11 Constructing Two Scatterplots That Share the Same Axes

A.12 Computing Correlation Coefficients and Coefficients of Determination

A.13 Turning a Plotter On or Off

A.14 Entering an Equation

A.15 Graphing an Equation

A.16 Tracing a Curve without a Scatterplot

A.17 Zooming

A.18 Setting the Window Format

A.19 Graphing Equations with a Scatterplot

A.20 T racing a Curve with a Scatterplot

A.21 Constructing a Table

A.22 Constructing a Table for Two Equations

A.23 Using “Ask” in a Table

A.24 Finding the Intersection Point(s) of Two Curves

A.25 Turning an Equation On or Off

A.26 Finding a Regression Equation

A.27 Constructing a Residual Plot

A.28 Responding to Error Messages


B. Using Statcrunch

B.1 Selecting Numbers Randomly

B.2 Entering Data

B.3 Constructing Frequency and Relative Frequency Tables

B.4 Constructing Bar Graphs or Multiple Bar Graphs

B.5 Constructing Pie Charts

B.6 Constructing Two-Way Tables

B.7 Constructing Dotplots

B.8 Constructing Stemplots and Split Stems

B.9 Constructing Time-Series Plots

B.10 Constructing Histograms

B.11 Computing Medians, Means, Standard Deviations, and Other Measures

B.12 Constructing Boxplots

B.13 Computing Probabilities for a Normal Distribution

B.14 Finding Values of a Variable for a Normal Distribution

B.15 Constructing Scatterplots

B.16 Computing Linear Correlation Coefficients and Coefficients of Determination

B.17 Finding Linear Regression Equations

B.18 Constructing Residual Plots for Linear Regression Models


C. Standard Normal Distribution

Table C-1