Question

Find the CV for the data set: 6.9 7.2 8.1 7.9 8.1 7.2 7.3

Find the CV for the data set:
6.9 7.2 8.1 7.9 8.1 7.2 7.3
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The mean of the data is,

= = (6.9 + 7.2 + 8.1 + 7.9 + 8.1 + 7.2 + 7.3)/ 7 = 7.528571

Variance of the data is,

Var(x) = = [(6.9 - 7.528571)2 + (7.2 - 7.528571)2 + (8.1 - 7.528571)2 + (7.9 - 7.528571)2 + (8.1 - 7.528571)2 + (7.2 - 7.528571)2 + (7.3 - 7.528571)2 ]/ (7-1)

= 0.242381

Standard deviation of the data is,

sd(x) = = 0.492322

Coefficient of variation, CV = sd(x) / = 0.492322 / 7.528571 = 0.06539382

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