Statistics by OpenStax Notes

• Online textbook
• Whiteboard notes

1 Sampling and Data

• Definitions of Statistics, Probability, and Key Terms
• Data, Sampling, and Variation in Data and Sampling
• Frequency, Frequency Tables, and Levels of Measurement
• Experimental Design and Ethics
• Data Collection Experiment
• Sampling Experiment

2 Descriptive Statistics

• Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
• Histograms, Frequency Polygons, and Time Series Graphs
• Measures of the Location of the Data
• Box Plots
• Measures of the Center of the Data
• Skewness and the Mean, Median, and Mode
• Measures of the Spread of the Data
• Descriptive Statistics

3 Probability Topics

• Terminology
• Independent and Mutually Exclusive Events
• Two Basic Rules of Probability
• Contingency Tables
• Tree and Venn Diagrams
• Probability Topics

4 Discrete Random Variables

• Probability Distribution Function (PDF) for a Discrete Random Variable
• Mean or Expected Value and Standard Deviation
• Binomial Distribution (Optional)
• Geometric Distribution (Optional)
• Hypergeometric Distribution (Optional)
• Poisson Distribution (Optional)
• Discrete Distribution (Playing Card Experiment)
• Discrete Distribution (Lucky Dice Experiment)

5 Continuous Random Variables

• Continuous Probability Functions
• The Uniform Distribution
• The Exponential Distribution (Optional)
• Continuous Distribution

6 The Normal Distribution

• The Standard Normal Distribution
• Using the Normal Distribution
• Normal Distribution—Lap Times
• Normal Distribution—Pinkie Length

7 The Central Limit Theorem

• The Central Limit Theorem for Sample Means (Averages)
• The Central Limit Theorem for Sums (Optional)
• Using the Central Limit Theorem
• Central Limit Theorem (Pocket Change)
• Central Limit Theorem (Cookie Recipes)