If $v$ is the variance and $\sigma$ is the standard deviation, then

  • A

    $v = {\sigma ^2}$

  • B

    ${v^2} = \sigma $

  • C

    $v = \frac{1}{\sigma }$

  • D

    $v = \frac{1}{{{\sigma ^2}}}$

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Find the standard deviation of the first n natural numbers.

 

For the frequency distribution :

Variate $( x )$ $x _{1}$ $x _{1}$ $x _{3} \ldots \ldots x _{15}$
Frequency $(f)$ $f _{1}$ $f _{1}$ $f _{3} \ldots f _{15}$

where $0< x _{1}< x _{2}< x _{3}<\ldots .< x _{15}=10$ and

$\sum \limits_{i=1}^{15} f_{i}>0,$ the standard deviation cannot be 

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