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

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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 $ =

BITSATBITSAT 2012

Solution:

$\because \delta^{2}_{x} = \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 $