Q. Suppose a population A has 100 observations 101,102,….,200 and another population B has 100 observations 151,152,….,250 if $V_{A}$ and $V_{B}$ represent the variances of the two populations respectively, then $\frac{V_{A}}{V_{B}}$ is
A) $\frac{9}{4}\$
B) $\frac{4}{9}$
C) $\frac{2}{3}$
D) 1
Explanation
(d)
Since variance is independent of change of origin. Hence, variance of observations 101, 102, …., 200 is same as variance of observations 151, 152, …,250.
$\therefore V_{A} = V_{B}$
$\Rightarrow \frac{V_{A}}{V_{B}} = 1$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.