# Suppose a population A has 100 observation 101, 102, ….. , 200 and another population B has 100 observations 151, 152, …. , 250. If $$V_A$$ and $$V_B$$ represent the variance of the two populations respectively, then $$V_A\over V_B$$ is

## Solution :

Since variance is independent of change of origin.

Therefore, variance of observations 101, 102, …. , 200 is same as variance of 151, 152, ….. 250.

$$\therefore$$  $$V_A$$ = $$V_B$$

$$\implies$$   $$V_A\over V_B$$ = 1

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