Math miscellaneousHard

Question

Suppose a population A has 100 observations 101, 102, ...., 200, and another population B has 100 observations 151, 152, ...., 250. If VA and VB represent the variances of the two populations, respectively, then is

Options

A.1
B.9/4
C.4/9
D.2/3

Solution

. (Here deviations are taken from the mean)
Since A and B both has 100 consecutive integers, therefore both have same standard deviation and hence the variance.
∴     = 1 (As Σ d2i is same in both the cases ).

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