Variability

Chapter Five Measures of Variability: Range, Variance, and Standard Deviation

New Statistical Notation ,[object Object],[object Object]

Measures of Variability ,[object Object]

A Chart Showing the Distance Between the Locations of Scores in Three Distributions

Three Variations of the Normal Curve

The Range, Variance, and Standard Deviation

The Range ,[object Object],Range = highest score – lowest score

Variance and Standard Deviation ,[object Object],[object Object]

The Sample Variance and the Sample Standard Deviation

Sample Variance ,[object Object],[object Object]

Sample Variance ,[object Object]

Sample Standard Deviation ,[object Object],[object Object]

Sample Standard Deviation ,[object Object]

The Standard Deviation ,[object Object],[object Object]

Normal Distribution and the Standard Deviation

Normal Distribution and the Standard Deviation ,[object Object]

Standard Deviation and Range ,[object Object]

The Population Variance and the Population Standard Deviation

Population Variance ,[object Object]

Population Standard Deviation ,[object Object]

The Estimated Population Variance and the Estimated Population Standard Deviation

Estimating the Population Variance and Standard Deviation ,[object Object],[object Object]

Estimated Population Variance ,[object Object],[object Object]

Estimated Population Variance ,[object Object]

Estimated Population Standard Deviation ,[object Object],[object Object]

Estimated Population Standard Deviation ,[object Object]

Unbiased Estimators ,[object Object],[object Object],[object Object]

Uses of , , , and ,[object Object],[object Object]

Organizational Chart of Descriptive and Inferential Measures of Variability

Proportion of Variance Accounted For ,[object Object]

Example ,[object Object],[object Object],[object Object],[object Object],15 14 14 17 15 14 13 14 13 12 10 13 15 11 15 13 14 14

Example Range ,[object Object]

Example Sample Standard Deviation

Example Estimated Population Variance

Example—Estimated Population Standard Deviation

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