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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. 1


Solution

The correct option is D 1

Population B observations are 151, 152, ….., 250
Let y, be these observations
Shifting the origin zi=yi50
The values of these observations are 100, 101, ….., 200.
VA=VB
( Variance is independent of shifting the origin). 

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