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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