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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class11  >>  Statistics
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Q)

If the variance 1,2,3,4,5....10 is $ \large\frac{99}{12}$ then the standard deviation of 3,6,9,12....30 is

$\begin {array} {1 1} (A)\;\large\frac{297}{4} & \quad (B)\;\large\frac{3}{2}\sqrt{33} \\ (C)\;\large\frac{3}{2}\sqrt{99} & \quad (D)\;\sqrt{\large\frac{99}{12}} \end {array}$

 

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A)
Given $ \sigma^2_{10}=\large\frac{99}{12}$
$ = \large\frac{33}{4}$
$ \sigma_{10} = \large\frac{\sqrt{33}}{2}$
SD of required series = $ 3\sigma_{10}$
$ = \large\frac{3}{2}$$ \sqrt{33}$
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