Free Textbook - Open Stax Introductory Statistics

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

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​

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
• 4.4 Geometric Distribution
• 4.5 Hypergeometric Distribution
• 4.6 Poisson Distribution
• 4.7 Discrete Distribution (Playing Card Experiment)
• 4.8 Discrete Distribution (Lucky Dice Experiment)​

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)​

 Chapter  8:  Confidence Intervals

• Introduction
• 8.1 A Single Population Mean using the Normal Distribution
• 8.2 A Single Population Mean using the Student 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)

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
• 10.5 Hypothesis Testing for Two Means and Two Proportions​

 Chapter  12:  Linear Regression and Correlation

• Introduction
• 12.1 Linear Equations
• 12.2 Scatter Plots
• 12.3 The Regression Equation
• 12.4 Testing the Significance of the Correlation Coefficient
• 12.5 Prediction
• 12.6 Outliers
• 12.7 Regression (Distance from School)
• 12.8 Regression (Textbook Cost)
• 12.9 Regression (Fuel Efficiency)

Lecture Notes for OpenStax Introductory Statistics

Download the Book as a PDF 

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

Chapter  5:  Continuous Random Variables

• Introduction
• 5.1 Continuous Probability Functions
• 5.2 The Uniform Distribution
• 5.3 The Exponential Distribution
• 5.4 Continuous Distribution

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
• 7.3 Using the Central Limit Theorem
• 7.4 Central Limit Theorem (Pocket Change)
• 7.5 Central Limit Theorem (Cookie Recipes)

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, Decision and Conclusion
• 9.5 Additional Information and Full Hypothesis Test Examples
• 9.6 Hypothesis Testing of a Single Mean and Single Proportion​

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

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

Review Exercises (Ch 3-13)
Practice Tests (1-4) and Final Exams
Data Sets
Group and Partner Projects
Solution Sheets
Mathematical Phrases, Symbols, and Formulas
Notes for the TI-83, 83+, 84, 84+ Calculators
Tables