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Question

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


A

1

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B

94

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C

49

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D

23

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Solution

The correct option is A

1


Variance=σ2=1nni=1(xiμ)2, where μ is the mean of the observations.

The difference of an observation and mean of observations of A is same as that of the difference of corresponding observation and mean of observations of B.

So, VA=VB

VAVB=1


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