Suppose a population A has 100 observations 101, 102, , 200 and another population B has 1…

Question

Suppose a population A has 100 observations 101, 102,\ldots , 200 and another population B has 100 observations 151, 152,\ldots , 250. If $V_A$ and $V_B$ represent the variances of the two populations, respectively then $\dfrac{V_A}{V_B}$ is

Accepted Answer

Series A = 101, 102 ............ 200

Series B = 151, 152 ............ 250

Here series B can be obtained if we change the origin of A by 50 units.

And we know the variance does not change by changing the origin.

So,  $$\,\,\,\,$$ ${V_A} = {V_B}$

$$ \Rightarrow \,\,\,\,\,{{{V_A}} \over {{V_B}}} = 1$$

Solutions · 1