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BITSAT 2012

Exam: BITSAT
Year: 2012
Subject: Mathematics
Chapter: Statistics

BITSAT 2012 · Mathematics · Statistics

If sample A contains 100 observations 101,102, 200 and sample B...

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}}=

Options

A1
B $\frac{9}{4}$
C $\frac{4}{9}$
D $\frac{2}{3}$

Correct answer

A. 1

Step-by-step solution

\because \quad \delta_{\mathrmx^{2}=\frac{\Sigma \mathrmd^{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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