Discovering Statistics and Data plus Integrated Review, 3rd Edition
0.1 How to Read a Math Textbook
0.2 Tips for Success in a Math Course
0.3 Tips for Improving Math Test Scores
0.4 Practice, Patience, and Persistence!
0.5 Note Taking
0.6 Do I Need a Math Tutor?
0.7 Tips for Improving Your Memory
0.8 Overcoming Anxiety
0.9 Online Resources
0.10 Preparing for a Final Math Exam
0.11 Managing Your Time Effectively
1.R.1 Problem Solving with Whole Numbers
- Examples
- Example 1: Application: Adding Whole Numbers
- Example 2: Application: Multiplying Whole Numbers
- Example 3: Application: Dividing Whole Numbers
- Example 4: Application: Calculating Loan Amounts
- Example 5: Application: Balancing a Checking Account
- Example 6: Application: Finding the Area of Rectangles
- Example 7: Calculating an Average
- Example 8: Application: Calculating an Average
- Example 9: Application: Calculating an Average
- Example 10: Application: Calculating an Average
1.R.2 Introduction to Decimal Numbers
- Examples
- Example 1: Reading and Writing Decimal Numbers
- Example 2: Reading and Writing Decimal Numbers
- Example 3: Reading and Writing Decimal Numbers
- Example 4: Comparing Decimal Numbers
- Example 5: Comparing Decimal Numbers
- Example 6: Comparing Decimal Numbers
- Example 7: Rounding Decimal Numbers
- Example 8: Rounding Decimal Numbers
1.R.3 Exponents and Order of Operations
- Examples
- Example 1: Identifying the Base and Exponent
- Example 3: Evaluating Exponential Expressions
- Example 4: Evaluating Exponential Expressions
- Example 5: Using the Order of Operations with Whole Numbers
- Example 6: Using the Order of Operations with Whole Numbers
- Example 7: Using the Order of Operations with Whole Numbers
- Example 8: Using the Order of Operations with Whole Numbers
- Example 9: Using the Order of Operations with Whole Numbers
2.R.1 Introduction to Fractions and Mixed Numbers
- Examples
- Example 1: Understanding Fractions
- Example 2: Understanding Fractions
- Example 3: Understanding Proper Fractions
- Example 4: Understanding Improper Fractions
- Example 5: Evaluating Fractions Involving 0
- Example 6: Graphing Proper Fractions
- Example 7: Graphing Improper Fractions
- Example 8: Identifying Types of Fractions and Mixed Numbers
- Example 9: Application: Understanding Mixed Numbers
- Example 10: Application: Understanding Mixed Numbers
- Example 11: Graphing Mixed Numbers
- Example 12: Changing Mixed Numbers to Improper Fractions
- Example 14: Changing Improper Fractions to Mixed Numbers
- Example 15: Changing Improper Fractions to Mixed Numbers
2.R.2 Decimal Numbers and Fractions
- Examples
- Example 1: Changing Decimal Numbers to Fractions
- Example 2: Changing Decimal Numbers to Fractions
- Example 3: Changing Decimal Numbers to Fractions
- Example 4: Changing Fractions to Decimal Numbers
- Example 5: Changing Fractions to Decimal Numbers
- Example 6: Changing Fractions to Decimal Numbers
- Example 7: Changing Fractions to Decimal Numbers
- Example 8: Simplifying Expressions with Decimals and Fractions
- Example 9: Comparing Decimal Numbers and Fractions
- Example 10: Application: Decimal and Fraction Expressions
2.R.3 Decimals and Percents
2.R.4 Comparisons and Order of Operations with Fractions
2.R.5 Estimating and Order of Operations with Decimal Numbers
- Examples
- Example 1: Estimating Sums of Decimal Numbers
- Example 3: Estimating Products of Decimal Numbers
- Example 4: Estimating Quotients of Decimal Numbers
- Example 5: Application: Estimating with Decimal Numbers
- Example 6: Using the Order of Operations with Decimal Numbers
- Example 7: Using the Order of Operations with Decimal Numbers
2.R.6 Fractions and Percents
- Examples
- Example 1: Changing Fractions to Percents
- Example 2: Changing Fractions to Percents
- Example 3: Changing Mixed Numbers to Percents
- Example 5: Changing Fractions to Percents
- Example 5: Application: Changing Fractions to Percents
- Example 7: Changing Percents to Fractions
- Example 8: Changing Percents to Mixed Numbers
3.R.1 Reading Graphs
3.R.2 Constructing Graphs from a Database
3.R.3 The Real Number Line and Absolute Value
- Examples
- Example 1: Finding the Opposite of an Integer
- Example 2: Graphing Integers on a Number Line
- Example 3: Identifying Types of Numbers
- Example 4: Graphing Sets of Numbers
- Example 5: Graphing Sets of Numbers
- Example 6: Verifying Inequalities
- Example 7: Finding Absolute Values
- Example 8: Verifying Absolute Value Inequalities
- Example 9: Solving Absolute Value Equations
- Example 10: Solving Absolute Value Equations
- Example 11: Application: Solving Absolute Value Equations
4.R.1 Addition with Real Numbers
4.R.2 Subtraction with Real Numbers
4.R.3 Multiplication and Division with Real Numbers
- Examples
- Example 1: Multiplying Positive and Negative Real Numbers
- Example 2: Multiplying Two Negative Real Numbers
- Example 3: Multiplication by
- Example 4: Dividing Real Numbers
- Example 5: Dividing Fractions and Decimals
- Example 6: Application: Calculating an Average
- Example 7: Application: Calculating an Average
- Example 8: Application: Calculating an Average
4.R.4 Simplifying and Evaluating Algebraic Expressions
4.R.5 Evaluating Radicals
5.R.1 The Cartesian Coordinate System
5.R.2 Graphing Linear Equations in Two Variables
- Examples
- Example 1: Graphing a Linear Equation in Two Variables
- Example 2: Graphing a Linear Equation in Two Variables
- Example 3: Graphing a Linear Equation in Two Variables
- Example 4: Using Intercepts to Graph Linear Equations
- Example 5: Using Intercepts to Graph Linear Equations
- Example 7: Graphing Horizontal Lines
- Example 8: Graphing Vertical Lines
5.R.3 Slope-Intercept Form
- Examples
- Example 1: Finding the Slope of a Line
- Example 2: Finding the Slope of a Line
- Example 3: Finding the Slope of a Horizontal Line
- Example 4: Finding the Slope of a Vertical Line
- Example 5: Using Slope and the y‑Intercept to Graph a Line
- Example 6: Using Slope and the y-Intercept to Graph a Line
- Example 7: Finding Equations Given the Slope and the y‑Intercept
5.R.4 Point-Slope Form
- Examples
- Example 1: Graphing a Line Given a Point and the Slope
- Example 2: Finding Equations of Lines Using the Slope and a Point
- Example 3: Finding Equations of Lines Using Two Points
- Example 4: Finding Equations of Lines Using a Graph
- Example 5: Finding the Equations of Parallel Lines
- Example 6: Finding the Equations of Perpendicular Lines
6.R.1 Multiplication with Fractions
- Examples
- Example 1: Multiplying Fractions
- Example 2: Multiplying Fractions
- Example 3: Application: Multiplying Fractions
- Example 4: Recognizing the Properties of Multiplication
- Example 5: Reducing Fractions to Lowest Terms
- Example 6: Reducing Fractions to Lowest Terms
- Example 8: Application: Reducing Fractions to Lowest Terms
- Example 9: Multiplying and Reducing Using Prime Factors
- Example 10: Multiplying and Reducing Using Prime Factors
- Example 11: Multiplying and Reducing Using Prime Factors
- Example 13: Application: Multiplying and Reducing Fractions
- Example 14: Multiplying and Reducing Using the Division Method
- Example 15: Multiplying and Reducing Using the Division Method
- Example 16: Multiplying and Reducing Using the Division Method
- Example 17: Multiplying and Reducing Using the Division Method
6.R.2 Division with Fractions
- Examples
- Example 1: Finding Reciprocals
- Example 2: Finding Reciprocals
- Example 3: Dividing Fractions
- Example 4: Dividing Fractions
- Example 5: Dividing and Reducing Fractions
- Example 6: Dividing and Reducing Fractions
- Example 9: Finding a Missing Number
- Example 10: Application: Dividing Fractions
- Example 11: Application: Multiplying and Dividing Fractions
6.R.3 Least Common Multiple (LCM)
- Examples
- Example 1: Finding the Least Common Multiple (LCM)
- Example 2: Finding the Least Common Multiple (LCM)
- Example 4: Finding the Least Common Multiple (LCM)
- Example 5: Finding the Least Common Multiple (LCM)
- Example 6: Finding the Least Common Multiple (LCM)
- Example 7: Finding the Least Common Multiple (LCM)
- Example 9: Application: Finding the LCM
- Example 10: Finding Equivalent Fractions
- Example 11: Finding Equivalent Fractions
6.R.4 Addition and Subtraction with Fractions
- Examples
- Example 1: Adding Fractions with the Same Denominator
- Example 2: Finding the Least Common Denominator (LCD)
- Example 3: Adding Fractions with Different Denominators
- Example 4: Adding Fractions with Different Denominators
- Example 5: Adding Three Fractions with Different Denominators
- Example 6: Application: Adding Fractions
- Example 7: Application: Adding Fractions
- Example 8: Subtracting Fractions with the Same Denominator
- Example 9: Subtracting Fractions with Different Denominators
- Example 10: Subtracting Fractions with Different Denominators
- Example 11: Subtracting Fractions with Different Denominators
- Example 12: Application: Subtracting Fractions with Different Denominators
6.R.5 Addition and Subtraction with Mixed Numbers
- Examples
- Example 1: Adding Mixed Numbers with the Same Denominator
- Example 2: Adding Mixed Numbers with Different Denominators
- Example 3: Adding Mixed Numbers
- Example 4: Calculating Perimeter
- Example 5: Subtracting Mixed Numbers with the Same Denominator
- Example 6: Subtracting Mixed Numbers with Different Denominators
- Example 7: Subtracting Mixed Numbers with Borrowing
- Example 8: Subtracting Mixed Numbers by Borrowing
- Example 9: Subtracting Mixed Numbers by Borrowing
- Example 11: Application: Subtracting Mixed Numbers
- Example 12: Adding Mixed Numbers Using Improper Fractions
- Example 13: Adding Mixed Numbers Using Improper Fractions
- Example 14: Subtracting Mixed Numbers Using Improper Fractions
6.R.6 Union and Intersection of Sets
7.R.1 Order of Operations with Real Numbers
- Examples
- Example 1: Using the Order of Operations with Real Numbers
- Example 2: Using the Order of Operations with Real Numbers
- Example 3: Using the Order of Operations with Real Numbers
- Example 4: Using the Order of Operations with Real Numbers
- Example 6: Using the Order of Operations with Real Numbers
- Example 7: Using the Order of Operations with Real Numbers
7.R.2 Solving Linear Inequalities in One Variable
- Examples
- Example 1: Graphing Intervals
- Example 2: Graphing Intervals
- Example 3: Graphing Intervals
- Example 4: Graphing Intervals
- Example 5: Solving an Inequality and Graphing the Solution Set
- Example 6: Solving an Inequality and Graphing the Solution Set
- Example 7: Solving an Inequality and Graphing the Solution Set
- Example 8: Solving an Inequality and Graphing the Solution Set
- Example 9: Solving Linear Inequalities
- Example 10: Solving Linear Inequalities
- Example 11: Solving Linear Inequalities
- Example 13: Application: Using Inequalities
7.R.3 Compound Inequalities
8.R.1 Area
8.R.2 Solving Linear Equations: ax + b = c
- Examples
- Example 1: Solving Linear Equations of the Form ax + b = c
- Example 2: Solving Linear Equations of the Form ax + b = c
- Example 3: Solving Linear Equations Involving Decimals
- Example 4: Solving Linear Equations Involving Decimals
- Example 5: Solving Linear Equations Involving Fractions
- Example 6: Solving Linear Equations Involving Fractions
8.R.3 Working with Formulas
- Examples
- Example 1: Application: Evaluating Formulas
- Example 2: Evaluating Formulas
- Example 3: Application: Evaluating Formulas
- Example 4: Evaluating Formulas
- Example 5: Solving for Different Variables
- Example 6: Solving for Different Variables
- Example 7: Solving for Different Variables
- Example 8: Solving for Different Variables
10.R.1 Absolute Value Equations
10.R.2 Absolute Value Inequalities
- Examples
- Example 1: Solving Absolute Value Inequalities
- Example 2: Solving Absolute Value Inequalities
- Example 3: Solving Absolute Value Inequalities
- Example 4: Solving Absolute Value Inequalities
- Example 5: Solving Absolute Value Inequalities
- Example 6: Solving Absolute Value Inequalities
- Example 7: Solving Absolute Value Inequalities
- Example 8: Solving Absolute Value Inequalities
- Example 9: Solving Absolute Value Inequalities
11.1 Introduction to Hypothesis Testing
11.2a Testing a Hypothesis about a Population Mean with Sigma Known
11.2b Testing a Hypothesis about a Population Mean with Sigma Unknown
11.2c Testing a Hypothesis about a Population Mean using P-values
11.3 The Relationship Between Confidence Interval Estimation and Hypothesis Testing
11.4a Testing a Hypothesis about a Population Proportion
- Examples
- Example 11.4.1
- Example 11.4.2
11.4b Testing a Hypothesis about a Population Proportion using P-values
- Examples
- Example 11.4.1
- Example 11.4.2
11.5 Testing a Hypothesis about a Population Standard Deviation or Variance
- Examples
- Example 11.5.1
11.6 Practical Significance vs. Statistical Significance
- Examples
- Example 11.6.1
12.1a Inference about Two Means: Independent Samples with Sigma Known
12.1b Inference about Two Means: Independent Samples with Sigma Unknown
12.2 Inference about Two Means: Dependent Samples (Paired Difference)
- Examples
- Example 12.2.1
- Example 12.2.2
12.3 Inference about Two Population Proportions
- Examples
- Example 12.3.1
14.1 The Multiple Regression Model
14.2 The Coefficient of Determination and Adjusted R-Squared
14.3 Interpreting the Coefficients of the Multiple Regression Model
14.4 Inference Concerning the Multiple Regression Model and Its Coefficients
14.5 Inference Concerning the Model's Prediction
14.6 Multiple Regression Models with Qualitative Independent Variables
- Examples
- Example 14.6.1
- Example 14.6.2
17.1 The Sign Test
- Examples
- Example 17.1.1
- Example 17.1.2
17.2 The Wilcoxon Signed-Rank Test
- Examples
- Example 17.2.1
- Example 17.2.2
17.3 The Wilcoxon Rank-Sum Test
- Examples
- Example 17.3.1
17.4 The Rank Correlation Test
- Examples
- Example 17.4.1
- Example 17.4.2
17.5 The Runs Test for Randomness
17.6 The Kruskal-Wallis Test
- Examples
- Example 17.6.1
- Example 17.6.2