Suppose a population A has 100 observations 101, 102,……200 and ano

Question

Suppose a population A has 100 observations 101, 102,……200 and another population B has 100 observation 151, 152….., 250. If

V_{A}, V_{B}

represent the variances of the two populations respectively, then

\frac{V_{A}}{V_{B}}

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

z_{i} = y_{i} - 50

The values of these observations are 100, 101, ….., 200.

∴ V_{A} = V_{B}

(

∵

Variance is independent of shifting the origin).

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