This Statistics for High School resource was developed under the guidance and support of experienced high school teachers and subject matter experts. It is presented here in multiple formats: PDF, online, and low-cost print. Statistics offers instruction in grade-level appropriate concepts and skills in a logical, engaging progression that begins with sampling and data and covers topics such as probability, random variables, the normal distribution, and hypothesis testing. This content was developed with students in mind, incorporating statistics labs, worked exercises, and additional opportunities for assessment that incorporate real-world statistical applications. For instructors, resources are available to support the implementation of the Statistics textbook, including a Getting Started Guide, direct instruction presentations, and a solutions manual.
Conditions of Use
This book is licensed under a Creative Commons License (CC BY-NC-SA). You can download the ebook Statistics for High School for free.
- Title
- Statistics for High School
- Publisher
- OpenStax
- Author(s)
- Barbara Illowsky, Susan Dean
- Published
- 2020-03-27
- Edition
- 1
- Format
- eBook (pdf, epub, mobi)
- Pages
- 930
- Language
- English
- ISBN-10
- 1975076532
- ISBN-13
- 9781975076535
- License
- CC BY-NC-SA
- Book Homepage
- Free eBook, Errata, Code, Solutions, etc.
Preface Chapter 1 Sampling and Data Introduction 1.1 Definitions of Statistics, Probability, and Key Terms 1.2 Data, Sampling, and Variation in Data and Sampling 1.3 Frequency, Frequency Tables, and Levels of Measurement 1.4 Experimental Design and Ethics 1.5 Data Collection Experiment 1.6 Sampling Experiment Key Terms Chapter Review Practice Homework Bringing It Together: Homework References Solutions Chapter 2 Descriptive Statistics Introduction 2.1 Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs 2.2 Histograms, Frequency Polygons, and Time Series Graphs 2.3 Measures of the Location of the Data 2.4 Box Plots 2.5 Measures of the Center of the Data 2.6 Skewness and the Mean, Median, and Mode 2.7 Measures of the Spread of the Data 2.8 Descriptive Statistics Key Terms Chapter Review Formula Review Practice Homework Bringing It Together: Homework References Solutions Chapter 3 Probability Topics Introduction 3.1 Terminology 3.2 Independent and Mutually Exclusive Events 3.3 Two Basic Rules of Probability 3.4 Contingency Tables 3.5 Tree and Venn Diagrams 3.6 Probability Topics Key Terms Chapter Review Formula Review Practice Bringing It Together: Practice Homework Bringing It Together: Homework References Solutions Chapter 4 Discrete Random Variables Introduction 4.1 Probability Distribution Function (PDF) for a Discrete Random Variable 4.2 Mean or Expected Value and Standard Deviation 4.3 Binomial Distribution (Optional) 4.4 Geometric Distribution (Optional) 4.5 Hypergeometric Distribution (Optional) 4.6 Poisson Distribution (Optional) 4.7 Discrete Distribution (Playing Card Experiment) 4.8 Discrete Distribution (Lucky Dice Experiment) Key Terms Chapter Review Formula Review Practice Homework References Solutions Chapter 5 Continuous Random Variables Introduction 5.1 Continuous Probability Functions 5.2 The Uniform Distribution 5.3 The Exponential Distribution (Optional) 5.4 Continuous Distribution Key Terms Chapter Review Formula Review Practice Homework References Solutions Chapter 6 The Normal Distribution Introduction 6.1 The Standard Normal Distribution 6.2 Using the Normal Distribution 6.3 Normal Distribution—Lap Times 6.4 Normal Distribution—Pinkie Length Key Terms Chapter Review Formula Review Practice Homework References Solutions Chapter 7 The Central Limit Theorem Introduction 7.1 The Central Limit Theorem for Sample Means (Averages) 7.2 The Central Limit Theorem for Sums (Optional) 7.3 Using the Central Limit Theorem 7.4 Central Limit Theorem (Pocket Change) 7.5 Central Limit Theorem (Cookie Recipes) Key Terms Chapter Review Formula Review Practice Homework References Solutions Chapter 8 Confidence Intervals Introduction 8.1 A Single Population Mean Using the Normal Distribution 8.2 A Single Population Mean Using the Student's t-Distribution 8.3 A Population Proportion 8.4 Confidence Interval (Home Costs) 8.5 Confidence Interval (Place of Birth) 8.6 Confidence Interval (Women's Heights) Key Terms Chapter Review Formula Review Practice Homework References Solutions Chapter 9 Hypothesis Testing with One Sample Introduction 9.1 Null and Alternative Hypotheses 9.2 Outcomes and the Type I and Type II Errors 9.3 Distribution Needed for Hypothesis Testing 9.4 Rare Events, the Sample, and the Decision and Conclusion 9.5 Additional Information and Full Hypothesis Test Examples 9.6 Hypothesis Testing of a Single Mean and Single Proportion Key Terms Chapter Review Formula Review Practice Homework References Solutions Chapter 10 Hypothesis Testing with Two Samples Introduction 10.1 Two Population Means with Unknown Standard Deviations 10.2 Two Population Means with Known Standard Deviations 10.3 Comparing Two Independent Population Proportions 10.4 Matched or Paired Samples (Optional) 10.5 Hypothesis Testing for Two Means and Two Proportions Key Terms Chapter Review Formula Review Practice Homework Bringing It Together: Homework References Solutions Chapter 11 The Chi-Square Distribution Introduction 11.1 Facts About the Chi-Square Distribution 11.2 Goodness-of-Fit Test 11.3 Test of Independence 11.4 Test for Homogeneity 11.5 Comparison of the Chi-Square Tests 11.6 Test of a Single Variance 11.7 Lab 1: Chi-Square Goodness-of-Fit 11.8 Lab 2: Chi-Square Test of Independence Key Terms Chapter Review Formula Review Practice Homework Bringing It Together: Homework References Solutions Chapter 12 Linear Regression and Correlation Introduction 12.1 Linear Equations 12.2 The Regression Equation 12.3 Testing the Significance of the Correlation Coefficient (Optional) 12.4 Prediction (Optional) 12.5 Outliers 12.6 Regression (Distance from School) (Optional) 12.7 Regression (Textbook Cost) (Optional) 12.8 Regression (Fuel Efficiency) (Optional) Key Terms Chapter Review Formula Review Practice Homework Bringing It Together: Homework References Solutions Chapter 13 F Distribution and One-way Anova Introduction 13.1 One-Way ANOVA 13.2 The F Distribution and the F Ratio 13.3 Facts About the F Distribution 13.4 Test of Two Variances 13.5 Lab: One-Way ANOVA Key Terms Chapter Review Formula Review Practice Homework References Solutions Appendix A Appendix A Review Exercises (Ch 3–13) Appendix B Appendix B Practice Tests (1–4) and Final Exams Appendix C Data Sets Appendix D Group and Partner Projects Appendix E Solution Sheets Appendix F Mathematical Phrases, Symbols, and Formulas Appendix G Notes for the TI-83, 83+, 84, 84+ Calculators Appendix H Tables Index