Question

Find the two CV (Coefficient of variation) and write a sentence explaining what the difference means.

Age and Weights: The ages (in years) and weight classes (in kilograms) of all members of the 2016 Men's US Olympic wrestling team are listed.

Ages: 24, 29, 26, 29, 29, 28, 21, 30, 27, 20

Weight Classes: 59, 75, 85, 130, 57, 74, 86. 125, 65, 97

Answer 1

Coefficient of variation of ages: 24, 29, 26, 29, 29, 28, 21, 30, 27, 20.

Sample standard deviation = s = 3.5292

Sample mean = = 26.3

Coefficient of weight classes: 59, 75, 85, 130, 57, 74, 86. 125, 65, 97

Sample standard deviation = s = 25.4953

Sample mean = = 85.3

Here the coefficient of variation 13.42% and 29.89% indicating a much wider range of variability in the ages and weight.