Statistics

by Barbara Illowsky and Susan Dean

Published by OpenStax

StatisticsHigh school

This Statistics 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.

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Attribution

Adapted from Statistics by Barbara Illowsky and Susan Dean, published by OpenStax (Rice University) under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Access the original for free at https://openstax.org/details/books/statistics. Changes: converted to CuraCourse lessons, with interactive practice added.

114 pages in 15 modules. Sign up to read and adopt them.

Preface1 page
1. Preface
1Sampling and Data8 pages
1. Introduction
2. 1.1Definitions of Statistics, Probability, and Key Terms
3. 1.2Data, Sampling, and Variation in Data and Sampling
4. 1.3Frequency, Frequency Tables, and Levels of Measurement
5. 1.4Experimental Design and Ethics
6. 1.5Data Collection Experiment
7. 1.6Sampling Experiment
8. Practice
2Descriptive Statistics10 pages
1. Introduction
2. 2.1Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
3. 2.2Histograms, Frequency Polygons, and Time Series Graphs
4. 2.3Measures of the Location of the Data
5. 2.4Box Plots
6. 2.5Measures of the Center of the Data
7. 2.6Skewness and the Mean, Median, and Mode
8. 2.7Measures of the Spread of the Data
9. 2.8Descriptive Statistics
10. Practice
3Probability Topics8 pages
1. Introduction
2. 3.1Terminology
3. 3.2Independent and Mutually Exclusive Events
4. 3.3Two Basic Rules of Probability
5. 3.4Contingency Tables
6. 3.5Tree and Venn Diagrams
7. 3.6Probability Topics
8. Practice
4Discrete Random Variables10 pages
1. Introduction
2. 4.1Probability Distribution Function (PDF) for a Discrete Random Variable
3. 4.2Mean or Expected Value and Standard Deviation
4. 4.3Binomial Distribution (Optional)
5. 4.4Geometric Distribution (Optional)
6. 4.5Hypergeometric Distribution (Optional)
7. 4.6Poisson Distribution (Optional)
8. 4.7Discrete Distribution (Playing Card Experiment)
9. 4.8Discrete Distribution (Lucky Dice Experiment)
10. Practice
5Continuous Random Variables6 pages
1. Introduction
2. 5.1Continuous Probability Functions
3. 5.2The Uniform Distribution
4. 5.3The Exponential Distribution (Optional)
5. 5.4Continuous Distribution
6. Practice
6The Normal Distribution6 pages
1. Introduction
2. 6.1The Standard Normal Distribution
3. 6.2Using the Normal Distribution
4. 6.3Normal Distribution—Lap Times
5. 6.4Normal Distribution—Pinkie Length
6. Practice
7The Central Limit Theorem7 pages
1. Introduction
2. 7.1The Central Limit Theorem for Sample Means (Averages)
3. 7.2The Central Limit Theorem for Sums (Optional)
4. 7.3Using the Central Limit Theorem
5. 7.4Central Limit Theorem (Pocket Change)
6. 7.5Central Limit Theorem (Cookie Recipes)
7. Practice
8Confidence Intervals8 pages
1. Introduction
2. 8.1A Single Population Mean Using the Normal Distribution
3. 8.2A Single Population Mean Using the Student's t-Distribution
4. 8.3A Population Proportion
5. 8.4Confidence Interval (Home Costs)
6. 8.5Confidence Interval (Place of Birth)
7. 8.6Confidence Interval (Women's Heights)
8. Practice
9Hypothesis Testing with One Sample8 pages
1. Introduction
2. 9.1Null and Alternative Hypotheses
3. 9.2Outcomes and the Type I and Type II Errors
4. 9.3Distribution Needed for Hypothesis Testing
5. 9.4Rare Events, the Sample, and the Decision and Conclusion
6. 9.5Additional Information and Full Hypothesis Test Examples
7. 9.6Hypothesis Testing of a Single Mean and Single Proportion
8. Practice
10Hypothesis Testing with Two Samples7 pages
1. Introduction
2. 10.1Two Population Means with Unknown Standard Deviations
3. 10.2Two Population Means with Known Standard Deviations
4. 10.3Comparing Two Independent Population Proportions
5. 10.4Matched or Paired Samples (Optional)
6. 10.5Hypothesis Testing for Two Means and Two Proportions
7. Practice
11The Chi-Square Distribution10 pages
1. Introduction
2. 11.1Facts About the Chi-Square Distribution
3. 11.2Goodness-of-Fit Test
4. 11.3Test of Independence
5. 11.4Test for Homogeneity
6. 11.5Comparison of the Chi-Square Tests
7. 11.6Test of a Single Variance
8. 11.7Lab 1: Chi-Square Goodness-of-Fit
9. 11.8Lab 2: Chi-Square Test of Independence
10. Practice
12Linear Regression and Correlation10 pages
1. Introduction
2. 12.1Linear Equations
3. 12.2The Regression Equation
4. 12.3Testing the Significance of the Correlation Coefficient (Optional)
5. 12.4Prediction (Optional)
6. 12.5Outliers
7. 12.6Regression (Distance from School) (Optional)
8. 12.7Regression (Textbook Cost) (Optional)
9. 12.8Regression (Fuel Efficiency) (Optional)
10. Practice
13F Distribution and One-way Anova7 pages
1. Introduction
2. 13.1One-Way ANOVA
3. 13.2The F Distribution and the F Ratio
4. 13.3Facts About the F Distribution
5. 13.4Test of Two Variances
6. 13.5Lab: One-Way ANOVA
7. Practice
Appendices8 pages
1. AAppendix A Review Exercises (Ch 3–13)
2. BAppendix B Practice Tests (1–4) and Final Exams
3. CData Sets
4. DGroup and Partner Projects
5. ESolution Sheets
6. FMathematical Phrases, Symbols, and Formulas
7. GNotes for the TI-83, 83+, 84, 84+ Calculators
8. HTables

Statistics

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