Annotated Contents xi
Preface xvii
To the Student xxiii
To the Instructor xxv
Acknowledgments xxvii
Section I: Numerical Reasoning
Topic 1: Organizing Information Pictorially Using Charts and Graphs 2
Activity 1.1: World Motor Vehicle Production: Bar Graphs and Pie Charts 27
Activity 1.2: Medical Data and Class Data: Graphs with Excel 35
Activity 1.3: SATs and the Super Bowl: Creating and Interpreting Histograms 43
Topic 2: Bivariate Data 52
Activity 2.1: Estimating Dates: Scatterplots 69
Activity 2.2: State Governorsâ Salaries and Per Capita Income: More on Scatterplots 75
Topic 3: Graphs of Functions 82
Activity 3.1: Temperature Patterns: Functions and Line Graphs 105
Activity 3.2: Rates of Change and Concavity 111
Topic 4: Multiple Variable Functions 118
Activity 4.1: Blood Alcohol Levels and Credit Cards: Working with More Than Two Variables 133
Topic 5: Proportional, Linear, and Piecewise Linear Functions 140
Activity 5.1: Rates of Change and Linear Functions 159
Topic 6: Modeling with Linear and Exponential Functions 166
Activity 6.1: The Genieâs Offer: Exponential Growth and Linear Growth 185
Activity 6.2: Lines of Best Fit 191
Topic 7: Logarithms and Scientific Notation 198
Activity 7.1: Richter Scale and Logarithms 213
Activity 7.2: Estimations, Scientifc Notation, and Properties of Logarithms 219
Topic 8: Indexes and Ratings 224
Activity 8.1: Measurement Difficulties and Indexes 243
Activity 8.2: Consumer Indexes 249
Topic 9: Personal Finances 256
Activity 9.1: Mortgages 277
Topic 10: Introduction to Problem Solving 284
Activity 10.1: Savings and Loans: Problem Solving and Using Scroll Bars 299
Activity 10.2: Asking and Answering a Research Question 305
Section II: Logical Reasoning
Topic 11: Decision Making 308
Activity 11.1: Ranking Cities: Ratings and Decisions 325
Topic 12: Inductive Reasoning 332
Activity 12.1: Analyzing Studies: Inductive Reasoning 345
Topic 13: Deductive Reasoning 354
Activity 13.1: Code-Breaking and Deductive Reasoning 375
Activity 13.2: Compound Statements Used in Reasoning 381
Activity 13.3: Quantified Statements and Deductive Reasoning: Direct and Indirect Reasoning 389
Topic 14: Apportionment 394
Activity 14.1: Methods of Apportionment: Quota Methods 409
Activity 14.2: Apportionment: Divisor Methods 415
Topic 15: More on Problem Solving 422
Activity 15.1: Making a Purchase Decision 433
Section III: Statistical Reasoning
Topic 16: Averages and Five-Number Summary 436
Activity 16.1: Visualizing Football Scores: Measures of Center and Spread 457
Topic 17: Standard Deviation, z-Score, and Normal Distributions 462
Activity 17.1: Coins, Presidents, and Justices: Normal Distributions and z-Scores 485
Topic 18: Basics of Probability 492
Activity 18.1: Simulations 511
Activity 18.2: Finding Probabilities 517
Topic 19: Conditional Probability and Tables 522
Activity 19.1: Diagnostic Testing and Conditional Probability 543
Topic 20: Sampling and Surveys 550
Activity 20.1: Sampling and Surveys 569
Topic 21: More on Decision Making 578
Activity 21.1: To Purchase a Warranty or Not: Making a Decision 593
Appendix
Excel Commands by Activity 597
Index 603
