*Discovering Statistics and Data Plus Integrated Review* leads students through the study of statistics with an introduction to data.

It pays homage to the technology-driven data explosion by helping students understand the context behind future statistical concepts to be learned. Students are introduced to what data is, how we measure it, where it comes from, how to visualize it, and what kinds of career opportunities involve its analysis and processing.

This integrated course enhances curriculum-level statistics with applicable review skills to shorten the prerequisite sequence without compromising competency. Target specific remediation needs for just-in-time supplementation of foundational concepts.

## Table of Contents:

### Chapter 0: Strategies for Academic Success

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 |

### Chapter 1.R: Integrated Review

1.R.1 | Problem Solving with Whole Numbers |

1.R.2 | Introduction to Decimal Numbers |

1.R.3 | Exponents and Order of Operations |

### Chapter 1: Statistics and Problem Solving

1.1-1.8 | Introduction to Statistical Thinking |

### Chapter 2.R: Integrated Review

2.R.1 | Introduction to Fractions and Mixed Numbers |

2.R.2 | Decimal Numbers and Fractions |

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 |

2.R.6 | Fractions and Percents |

### Chapter 2: Data, Reality, and Problem Solving

2.1 | The Lords of Data |

2.2 | Data Classification |

2.3 | Time Series Data vs. Cross-Sectional Data |

Chapter 2 Review | Chapter 2 Review |

### Chapter 3.R: Integrated Review

3.R.1 | Reading Graphs |

3.R.2 | Constructing Graphs from a Database |

3.R.3 | The Real Number Line and Absolute Value |

### Chapter 3: Visualizing Data

3.1 | Frequency Distributions |

3.2 | Displaying Qualitative Data Graphically |

3.3 | Constructing Frequency Distributions for Quantitative Data |

3.4 | Histograms and Other Graphical Displays of Quantitative Data |

3.5 | Analyzing Graphs |

Chapter 3 Review | Chapter 3 Review |

### Chapter 4.R: Integrated Review

4.R.1 | Addition with Real Numbers |

4.R.2 | Subtraction with Real Numbers |

4.R.3 | Multiplication and Division with Real Numbers |

4.R.4 | Simplifying and Evaluating Algebraic Expressions |

4.R.5 | Evaluating Radicals |

### Chapter 4: Describing and Summarizing Data From One Variable

4.1 | Measures of Location |

4.2 | Measures of Dispersion |

4.3 | Measures of Relative Position, Box Plots, and Outliers |

4.4 | Data Subsetting |

4.5 | Analyzing Grouped Data |

4.6 | Proportions and Percentages |

Chapter 4 Review | Chapter 4 Review |

### Chapter 5.R: Integrated Review

5.R.1 | The Cartesian Coordinate System |

5.R.2 | Graphing Linear Equations in Two Variables |

5.R.3 | Slope-Intercept Form |

5.R.4 | Point-Slope Form |

### Chapter 5: Discovering Relationships

5.1 | Scatterplots and Correlation |

5.2 | Fitting a Linear Model |

5.3 | Evaluating the Fit of a Linear Model |

5.4 | Fitting a Linear Time Trend |

5.5 | Scatterplots for More Than Two Variables |

Chapter 5 Review | Chapter 5 Review |

### Chapter 6.R: Integrated Review

6.R.1 | Multiplication with Fractions |

6.R.2 | Division with Fractions |

6.R.3 | Least Common Multiple (LCM) |

6.R.4 | Addition and Subtraction with Fractions |

6.R.5 | Addition and Subtraction with Mixed Numbers |

6.R.6 | Union and Intersection of Sets |

### Chapter 6: Probability, Randomness, and Uncertainty

6.1 | Introduction to Probability |

6.2 | Addition Rules for Probability |

6.3 | Multiplication Rules for Probability |

6.4 | Combinations and Permutations |

6.5 | Bayes Theorem |

Chapter 6 Review | Chapter 6 Review |

### Chapter 7.R: Integrated Review

7.R.1 | Order of Operations with Real Numbers |

7.R.2 | Solving Linear Inequalities in One Variable |

7.R.3 | Compound Inequalities |

### Chapter 7: Discrete Probability Distributions

7.1 | Types of Random Variables |

7.2 | Discrete Random Variables |

7.3 | The Discrete Uniform Distribution |

7.4 | The Binomial Distribution |

7.5 | The Poisson Distribution |

7.6 | The Hypergeometric Distribution |

Chapter 7 Review | Chapter 7 Review |

### Chapter 8.R: Integrated Review

8.R.1 | Area |

8.R.2 | Solving Linear Equations: ax + b = c |

8.R.3 | Working with Formulas |

### Chapter 8: Continuous Probability Distributions

8.1 | The Uniform Distribution |

8.2 | The Normal Distribution |

8.3 | The Standard Normal Distribution |

8.4 | Applications of the Normal Distribution |

8.5 | Assessing Normality |

8.6 | Approximation to the Binomial Distribution |

Chapter 8 Review | Chapter 8 Review |

### Chapter 9: Samples and Sampling Distributions

9.1 | Random Samples |

9.2 | Introduction to Sampling Distributions |

9.3 | The Distribution of the Sample Mean and the Central Limit Theorem |

9.4 | The Distribution of the Sample Proportion |

9.5 | Other Forms of Sampling |

Chapter 9 Review | Chapter 9 Review |

### Chapter 10.R: Integrated Review

10.R.1 | Absolute Value Equations |

10.R.2 | Absolute Value Inequalities |

### Chapter 10: Estimation: Single Samples

10.1 | Point Estimation of the Population Mean |

10.2 | Interval Estimation of the Population Mean |

10.3 | Estimating the Population Proportion |

10.4 | Estimating the Population Standard Deviation or Variance |

Chapter 10 Review | Chapter 10 Review |

### Chapter 11.R: Integrated Review

11.R.1 | Translating English Phrases and Algebraic Expressions |

11.R.2 | Applications: Scientific Notation |

### Chapter 11: Hypothesis Testing: Single Samples

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 |

11.4b | Testing a Hypothesis about a Population Proportion using P-values |

11.5 | Testing a Hypothesis about a Population Standard Deviation or Variance |

11.6 | Practical Significance vs. Statistical Significance |

Chapter 11 Review | Chapter 11 Review |

### Chapter 12: Inferences about Two Samples

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) |

12.3 | Inference about Two Population Proportions |

Chapter 12 Review | Chapter 12 Review |

### Chapter 13: Regression, Inference, and Model Building

13.1 | Assumptions of the Simple Linear Model |

13.2 | Inference Concerning the Slope |

13.3 | Inference Concerning the Model’s Prediction |

Chapter 13 Review | Chapter 13 Review |

### Chapter 14: Multiple Regression

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 |

Chapter 14 Review | Chapter 14 Review |

### Chapter 15: Analysis of Variance (ANOVA)

15.1 | One-Way ANOVA |

15.2 | Two-Way ANOVA: The Randomized Block Design |

15.3 | Two-Way ANOVA: The Factorial Design |

Chapter 15 Review | Chapter 15 Review |

### Chapter 16: Looking for Relationships in Qualitative Data

16.1 | The Chi-Square Distribution |

16.2 | The Chi-Square Test for Goodness of Fit |

16.3 | The Chi-Square Test for Association |

Chapter 16 Review | Chapter 16 Review |

### Chapter 17: Nonparametric Tests

17.1 | The Sign Test |

17.2 | The Wilcoxon Signed-Rank Test |

17.3 | The Wilcoxon Rank-Sum Test |

17.4 | The Rank Correlation Test |

17.5 | The Runs Test for Randomness |

17.6 | The Kruskal-Wallis Test |

Chapter 17 Review | Chapter 17 Review |

### Appendix

A.1 | Name that Distribution |

A.2 | Direct Mail |

A.3 | Type II Errors |

A.4 | Games of Chance |

A.5 | Comparing Two Population Variances |

A.6 | Statistical Process Control |

Interested in exploring this course?

Contact us today at sales@hawkeslearning.com or 1-800-426-9538.