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Introductory Statistics 2e

From sampling and data to regression and ANOVA. Build a solid foundation in statistical thinking.

How to Study Statistics

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Course Resources

OpenStax Textbook

Free, peer-reviewed textbook from Rice University.

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Archived Textbook PDF

Complete PDF used for generating these videos.

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YouTube Playlist

All video lectures in one convenient playlist.

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Chapter Lectures

Chapter 1: Sampling and Data

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Definitions of Statistics, Probability, and Key Terms
1.1
Definitions of Statistics, Probability, and Key Terms
Pages 5-9
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Data, Sampling, and Variation in Data and Sampling
1.2
Data, Sampling, and Variation in Data and Sampling
Pages 10-25
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Frequency, Frequency Tables, and Levels of Measurement
1.3
Frequency, Frequency Tables, and Levels of Measurement
Pages 26-33
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Experimental Design and Ethics
1.4
Experimental Design and Ethics
Pages 34-37
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Data Collection Experiment
1.5
Data Collection Experiment
Pages 38-39
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Sampling Experiment
1.6
Sampling Experiment
Pages 40-42
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Chapter 2: Descriptive Statistics

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Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
2.1
Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
Pages 66-74
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Histograms, Frequency Polygons, and Time Series Graphs
2.2
Histograms, Frequency Polygons, and Time Series Graphs
Pages 75-85
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Measures of the Location of the Data
2.3
Measures of the Location of the Data
Pages 86-93
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Box Plots
2.4
Box Plots
Pages 94-97
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Measures of the Center of the Data
2.5
Measures of the Center of the Data
Pages 98-103
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Skewness and the Mean, Median, and Mode
2.6
Skewness and the Mean, Median, and Mode
Pages 104-106
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Measures of the Spread of the Data
2.7
Measures of the Spread of the Data
Pages 107-117
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Descriptive Statistics
2.8
Descriptive Statistics
Pages 118-119
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Chapter 3: Probability Topics

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Terminology
3.1
Terminology
Pages 168-171
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Independent and Mutually Exclusive Events
3.2
Independent and Mutually Exclusive Events
Pages 172-178
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Two Basic Rules of Probability
3.3
Two Basic Rules of Probability
Pages 179-182
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Contingency Tables
3.4
Contingency Tables
Pages 183-188
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Tree and Venn Diagrams
3.5
Tree and Venn Diagrams
Pages 189-195
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Probability Topics
3.6
Probability Topics
Pages 196-199
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Chapter 4: Discrete Random Variables

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Probability Distribution Function (PDF) for a Discrete Random Variable
4.1
Probability Distribution Function (PDF) for a Discrete Random Variable
Pages 228-229
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Mean or Expected Value and Standard Deviation
4.2
Mean or Expected Value and Standard Deviation
Pages 230-236
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Binomial Distribution
4.3
Binomial Distribution
Pages 237-241
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Geometric Distribution
4.4
Geometric Distribution
Pages 242-247
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Hypergeometric Distribution
4.5
Hypergeometric Distribution
Pages 248-249
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Poisson Distribution
4.6
Poisson Distribution
Pages 250-254
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Discrete Distribution (Playing Card Experiment)
4.7
Discrete Distribution (Playing Card Experiment)
Pages 255-257
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Discrete Distribution (Dice Experiment Using Three Regular Dice)
4.8
Discrete Distribution (Dice Experiment Using Three Regular Dice)
Pages 258-261
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Chapter 5: Continuous Random Variables

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Continuous Probability Functions
5.1
Continuous Probability Functions
Pages 294-296
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The Uniform Distribution
5.2
The Uniform Distribution
Pages 297-303
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The Exponential Distribution
5.3
The Exponential Distribution
Pages 304-314
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Continuous Distribution
5.4
Continuous Distribution
Pages 315-316
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Chapter 6: The Normal Distribution

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The Standard Normal Distribution
6.1
The Standard Normal Distribution
Pages 338-341
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Using the Normal Distribution
6.2
Using the Normal Distribution
Pages 342-348
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Normal Distribution (Lap Times)
6.3
Normal Distribution (Lap Times)
Pages 349-349
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Normal Distribution (Pinkie Length)
6.4
Normal Distribution (Pinkie Length)
Pages 350-352
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Chapter 7: The Central Limit Theorem

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The Central Limit Theorem for Sample Means (Averages)
7.1
The Central Limit Theorem for Sample Means (Averages)
Pages 368-371
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The Central Limit Theorem for Sums
7.2
The Central Limit Theorem for Sums
Pages 372-374
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Using the Central Limit Theorem
7.3
Using the Central Limit Theorem
Pages 375-382
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Central Limit Theorem (Pocket Change)
7.4
Central Limit Theorem (Pocket Change)
Pages 383-385
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Central Limit Theorem (Cookie Recipes)
7.5
Central Limit Theorem (Cookie Recipes)
Pages 386-389
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Chapter 8: Confidence Intervals

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A Single Population Mean using the Normal Distribution
8.1
A Single Population Mean using the Normal Distribution
Pages 409-417
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A Single Population Mean using the Student t Distribution
8.2
A Single Population Mean using the Student t Distribution
Pages 418-421
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A Population Proportion
8.3
A Population Proportion
Pages 422-428
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Confidence Interval (Home Costs)
8.4
Confidence Interval (Home Costs)
Pages 429-430
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Confidence Interval (Place of Birth)
8.5
Confidence Interval (Place of Birth)
Pages 431-431
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Confidence Interval (Women's Heights)
8.6
Confidence Interval (Women's Heights)
Pages 432-433
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Chapter 9: Hypothesis Testing with One Sample

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Null and Alternative Hypotheses
9.1
Null and Alternative Hypotheses
Pages 464-465
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Outcomes and the Type I and Type II Errors
9.2
Outcomes and the Type I and Type II Errors
Pages 466-467
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Probability Distribution Needed for Hypothesis Testing
9.3
Probability Distribution Needed for Hypothesis Testing
Pages 468-468
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Rare Events, the Sample, Decision and Conclusion
9.4
Rare Events, the Sample, Decision and Conclusion
Pages 469-470
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Additional Information and Full Hypothesis Test Examples
9.5
Additional Information and Full Hypothesis Test Examples
Pages 471-484
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Hypothesis Testing of a Single Mean and Single Proportion
9.6
Hypothesis Testing of a Single Mean and Single Proportion
Pages 485-487
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Chapter 10: Hypothesis Testing with Two Samples

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Two Population Means with Unknown Standard Deviations
10.1
Two Population Means with Unknown Standard Deviations
Pages 514-521
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Two Population Means with Known Standard Deviations
10.2
Two Population Means with Known Standard Deviations
Pages 522-524
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Comparing Two Independent Population Proportions
10.3
Comparing Two Independent Population Proportions
Pages 525-528
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Matched or Paired Samples
10.4
Matched or Paired Samples
Pages 529-533
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Hypothesis Testing for Two Means and Two Proportions
10.5
Hypothesis Testing for Two Means and Two Proportions
Pages 534-537
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Chapter 11: The Chi-Square Distribution

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Facts About the Chi-Square Distribution
11.1
Facts About the Chi-Square Distribution
Pages 566-566
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Goodness-of-Fit Test
11.2
Goodness-of-Fit Test
Pages 567-575
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Test of Independence
11.3
Test of Independence
Pages 576-580
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Test for Homogeneity
11.4
Test for Homogeneity
Pages 581-583
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Comparison of the Chi-Square Tests
11.5
Comparison of the Chi-Square Tests
Pages 584-584
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Test of a Single Variance
11.6
Test of a Single Variance
Pages 584-585
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Lab 1: Chi-Square Goodness-of-Fit
11.7
Lab 1: Chi-Square Goodness-of-Fit
Pages 586-588
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Lab 2: Chi-Square Test of Independence
11.8
Lab 2: Chi-Square Test of Independence
Pages 589-590
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Chapter 12: Linear Regression and Correlation

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Linear Equations
12.1
Linear Equations
Pages 619-621
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Scatter Plots
12.2
Scatter Plots
Pages 622-624
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The Regression Equation
12.3
The Regression Equation
Pages 625-632
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Testing the Significance of the Correlation Coefficient
12.4
Testing the Significance of the Correlation Coefficient
Pages 633-636
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Prediction
12.5
Prediction
Pages 637-637
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Outliers
12.6
Outliers
Pages 638-645
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Regression (Distance from School)
12.7
Regression (Distance from School)
Pages 646-647
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Regression (Textbook Cost)
12.8
Regression (Textbook Cost)
Pages 648-648
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Regression (Fuel Efficiency)
12.9
Regression (Fuel Efficiency)
Pages 649-651
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Chapter 13: F Distribution and One-Way ANOVA

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One-Way ANOVA
13.1
One-Way ANOVA
Pages 681-681
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The F Distribution and the F-Ratio
13.2
The F Distribution and the F-Ratio
Pages 682-685
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Facts About the F Distribution
13.3
Facts About the F Distribution
Pages 686-692
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Test of Two Variances
13.4
Test of Two Variances
Pages 693-694
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Lab: One-Way ANOVA
13.5
Lab: One-Way ANOVA
Pages 695-696
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