The purpose of this outline is to provide a map of the material for Statistics 1, Introductory Statistics.  The outline will always be under construction.  The course is based on the book Elementary Statistics (4th Ed.) by Neil A. Weiss.  My coverage may emphasize some topics more and others less than Weiss does.  Some of the topics in the Weiss book will be omitted altogether.  This page indicates topics that are used in my Introductory Statistics class.

Most of the subheadings in the outline are linked to other pages.  Within these linked pages related materials, simulations, and exercises that illuminate the material or summarize major points are found.  Some of the exercises found on these pages or the linked pages may be assigned as homework exercises.

• 0. Introduction

  This section provides an introduction to the basic structure and terminology used in statistics.

  • Differences Between Descriptive and Inferential Statistics

  • Population and Sample

  • Random Samples

  • Experimental Design

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• 1. Data Displays

  Some of the graphical displays used by statisticians to present information are introduced.

  • Frequency Tables and Histograms

  • Stem and Leaf Plots

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• 2. Descriptive Statistics

  This section introduces numerical measures for sets of numbers.  Also included are another graphical display, the Boxplot, and Chebyshev's Rule.

  • Measures of Center

    • Mean

    • Median

    • Mode

    • Quartiles and Percentiles

  • Measures of Variability

    • Range

    • Interquartile Range

    • Standard Deviation

  • Other Statistics and Displays

    • Skewness

    • Boxplots

    • Standard Scores

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• 3. Regression and Correlation

  Two variables can be viewed graphically by means of a scatterplot.  This section  

  • Equation of a Line

  • Scatterplots and Regression Lines

  • Correlation Coefficient

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• 4. Probability and Random Variables

  • Relative Frequency Definition of Probability

  • Sample Space Definition of Probability

    • Experiment

    • Sample Point

    • Sample Space

    • Event

    • Probability of an Event

  • Probability Rules

  • Conditional Probability

  • Random Variables

    • Definition

    • Probability Density

    • Mean and Standard Deviation

    • Binomial Random Variable

  • Exercises

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• 5. The Normal Random Variable

  • Continuous Random Variables

  • The Standard Normal Curve

    • Using the Table for The Standard Normal Random Variable

    • Quantiles for the Standard Normal Random Variable

  • Finding Probabilities for a Non-Standard Normal Random Variable

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• 6. Sampling Distributions

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• 7. Confidence Intervals

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• 8. Hypothesis Testing

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• 9. Chi-Square Tests

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