Question

# Suppose a population A has 100 observations 101, 102,……200 and another population B has 100    observation 151, 152….., 250. If VA,VB  represent the variances of the two populations respectively, then VAVB is 1

Solution

## The correct option is D 1Population 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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