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Question: Answered & Verified by Expert
If sample A contains 100 observations $101,102, \ldots$ 200 and sample B contains 100 obsections $151,152,$ \ldots 250, then ratio of variance $\mathrm{v}_{\mathrm{A}} / \mathrm{v}_{\mathrm{B}}=$
MathematicsStatisticsBITSATBITSAT 2012
Options:
  • A 1
  • B $\frac{9}{4}$
  • C $\frac{4}{9}$
  • D $\frac{2}{3}$
Solution:
1032 Upvotes Verified Answer
The correct answer is: 1
$\because \quad \delta_{\mathrm{x}}^{2}=\frac{\Sigma \mathrm{d}^{2} \mathrm{i}}{\mathrm{n}}$
But both $A$ and $B$ have 100 observations, then both the sample $A$ and $B$ have same standard deviation and the same variance.
Hence, $\frac{\mathrm{V}_{\mathrm{A}}}{\mathrm{V}_{\mathrm{B}}}=1$

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