Question

A researcher has collected the following sample data. The mean of the sample is 5. 3 5 12 3 2 Refer to Exhibit 3-2. The coefficient of variation is _____.

Answer 1

Answer:

81.24%

Step-by-step explanation:

First we solve for the variance

Sample space of

3,5,12,3,2

n = 5

Variance = s²

= (3-5)²+(5-5)²+(12-5)²+(3-5)²+(2-5)²/5-1

= 4+0+49+4+9/4

S² = 66/4

= 16.5

Secondly we find the standard deviation

= √16.5

= 4.062

Coefficient of variation

Cv = sd/mean x 100

= 4.062/5 x 100

= 406.2/5

= 81.24%