If sample A contains 100 observations 101, 102, .... 200 and sample B contains 100 obsections 151, 152, .......... 250, then ratio of variance vA/vB =

Question

If sample A contains 100 observations 101, 102, .... 200 and sample B contains 100 obsections 151, 152, .......... 250, then ratio of variance vA/vB = (A) 1 (B) (9/4) (C) (4/9) (D) (2/3)

Tardigrade Admin · Accepted Answer

∵ δ2x = (∑ d2i/n) But both A and B have 100 observations, then both the sample A and B have same standard deviation and the same variance. Hence, (VA/VB) = 1

Q. If sample A contains $100$ observations $101, 102, ....200$ and sample $B$ contains $100$ obsections $151, 152, ..........250$ , then ratio of variance $v_{A} / v_{B}$ =

1

$\frac{9}{4}$

$\frac{4}{9}$

$\frac{2}{3}$

$∵ δ_{x}^{2} = \frac{\sum d ^{2} i}{n}$
But both $A$ and $B$ have $100$ observations, then both the sample $A$ and $B$ have same standard deviation and the same variance.
Hence, $\frac{V _{A}}{V _{B}} = 1$

Q. If sample A contains 100 observations 101,102,....200 and sample B contains 100 obsections 151,152,..........250, then ratio of variance vA​/vB​ =

1

49​

94​

32​

∵δx2​=n∑d2i​ But both A and B have 100 observations, then both the sample A and B have same standard deviation and the same variance. Hence, VB​VA​​=1

Q. If sample A contains $100$ observations $101, 102, ....200$ and sample $B$ contains $100$ obsections $151, 152, ..........250$ , then ratio of variance $v_{A} / v_{B}$ =

$\frac{9}{4}$

$\frac{4}{9}$

$\frac{2}{3}$

$∵ δ_{x}^{2} = \frac{\sum d ^{2} i}{n}$
But both $A$ and $B$ have $100$ observations, then both the sample $A$ and $B$ have same standard deviation and the same variance.
Hence, $\frac{V _{A}}{V _{B}} = 1$