From the data given below state which group is more variable G1 or G2?
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
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
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.