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Suppose a population A has 100 observati...

Suppose a population A has 100 observations 101,102,….,200, and another population B has 100 observations 151,152,…..,250. If `V_(A)andV_(B)` represent the variances of the populations respectively , then `(V_(A))/(V_(B))` is

A

1

B

`9//4`

C

`4//9`

D

`2//3`

Text Solution

Verified by Experts

The correct Answer is:
A
`sigma^(2)=(sum d_(i)^(2))/(n)` (Here deviations are taken from the mean.)
Since both A and B have 100 consecutive integers, they have the same standard deviation and hence variance. Therefore,
`(V_(A))/(V_(B))=1 ` (As `sum d_(i)^(2)` is same in both the cases.)
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