Answer :

Given, The variance of 20 observations is 4.

To Find: Find the variance of resulting observations.


Explanation: Let Assume, x1,x2,x3,…,x15 be the given observations.


So, Variance (X) = 4 (Given)


X =


Now, Let u1,u2,…u20 be the new observation,


When new observation increase by 9, then


Ui=xi+9(for i=1,2,3…,20) ---(i)


Now,










Variance (U) =60


Hence, The variance of new observations is 60.


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