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).
