A researcher has collected the following sample data. The mean of the sample below is 5.
3 , 5 , 12 , 3 , 2
Find the coefficient of variation

The coefficient of variation of the data set, 3 , 5 , 12 , 3 , 2, is: 72.7%

Recall:

Given, the following data:

We are not given the standard deviation.

First, find the standard deviation of the data set, using the formula,

SD =

SD = 3.633

Next, find the coefficient of variation:

Cov. = 3.633/5 x 100 = 72.7%

Therefore, the coefficient of variation of the data set, 3 , 5 , 12 , 3 , 2, is: 72.7%

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The coefficient of variation is 72.66%

Step-by-step explanation:

Data : 3 , 5 , 12 , 3 , 2

We are given that The mean of the sample is 5.

Formula of standard deviation =

Substitute the values :

Coefficient of variation=

Hence The coefficient of variation is 72.66%

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