From the data given below state which group is more variable G 1 or G 2 ?

Question

Philoid · Accepted Answer

Given, The data is given in the table.

To find: Check which group is more variable G1 and G2

Explanation: Let’s find the coefficient of the variable for group G1

Here, n=150 a= 45

Mean

Variance = 227.84

Standard Deviation

The coefficient of variation =

So, Coefficient of variation =

Cv = 33.83

Now find the coefficient of variable for group G2

Here, n=150 a= 45

Mean

Variance = 243.84

Standard Deviation

The coefficient of variation =

So, Coefficient of variation =

Cv = 35.02

Since, G2 has a high coefficient of variance,

Hence, Group G2 is more variable.