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

Options:

A . 49

B . 23

C . 1

D . 94

Answer: Option C : C Population B observations are 151, 152, ….., 250 Let y, be these observations Shifting the origin zi=yi−50 The values of these observations are 100, 101, ….., 200. ∴VA=VB ( ∵Variance is independent of shifting the origin).

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