Measures of Dispersion

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Presentation transcript:

Measures of Dispersion Dr. Fowler  AFM  Unit 8-3 Measures of Dispersion Compute the range of a data set. Understand how the standard deviation measures the spread of a distribution. Use the coefficient of variation to compare the standard deviations of different distributions.

Example: Find the range of the heights of the people listed in the accompanying table. Solution:

Standard Deviation: https://www.youtube.com/watch?v=09kiX3p5Vek

Standard Deviation

Standard Deviation

Standard Deviation

Standard Deviation

Standard Deviation Solution step 1: Example: The following are the closing prices for a stock for the past 20 trading sessions: 37, 39, 39, 40, 40, 38, 38, 39, 40, 41, 41, 39, 41, 42, 42, 44, 39, 40, 40, 41 What is the standard deviation for this data set? Solution step 1: Mean: (sum of the closing prices is 800) (continued on next slide)

Standard Deviation Standard Deviation: We create a table with values that will facilitate computing the standard deviation. Standard Deviation:

The Coefficient of Variation Relatively speaking there is more variation in the weights of the 1st graders than the NFL players below. 1st Graders Mean: 30 pounds SD: 3 pounds CV: NFL Players Mean: 300 pounds SD: 10 pounds CV:

Excellent Job !!! Well Done