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Problem 2.3 Calculate the standard deviation and the coefficient of variation of each of the following...

Problem 2.3

Calculate the standard deviation and the coefficient of variation of each of the following fictitious samples:

a. 11, 8, 4, 10, 7
b. 23, 29, 24, 21, 23

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a)

Sample mean = X / n

= 40 / 5

= 8

Standard deviation = sqrt [ X2 - n 2 / ( n -1) ]

= sqrt [ 350 - 5 * 82 / 4 ]

= 2.7386

Coefficient of variation = Standard deviation / Mean

= 2.7386 / 8

= 0.3423

b)

Sample mean = X / n

= 120 / 5

= 24

Standard deviation = sqrt [ X2 - n 2 / ( n -1) ]

= sqrt [ 2916 - 5 * 242 / 4 ]

= 3

Coefficient of variation = Standard deviation / Mean

= 3 / 24

= 0.125

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