If sample A contains 100 observations 101 , 102 , … 200 and sample B contains 100 obsections 151 , 152 , \ldots 250, then ratio of variance v A / v B =

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MathematicsStatisticsStatisticsHard2 minPYQ_2012

MathematicsHardsingle choice

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

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Solution:

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

Stream:BITSATSubject:MathematicsTopic:StatisticsSubtopic:Statistics

⏱ 2mℹ️ Source: PYQ_2012

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