Suppose a population A has 100 observations 101 , 102 , … , 200 , and another population B has 100 observations 151 , 152 , … , 250 . If V A and V B represent the variances of the two populations,

Question

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

TestHub · Accepted Answer

σ x 2 ​ = n ∑ d 1 2 ​ ​ . (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. ∴ V B ​ V A ​ ​ = 1 ( As ∑ d i 2 ​ is same in both the cases).

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