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  • In a set of 2n observations, half  of them are equal to 'a' and the remaining half are equal to '-a'. If the standard deviation of all the observations is 2; then the value of&

In a set of 2n observations, half  of them are equal to 'a' and the remaining half are equal to '-a'. If the standard deviation of all the observations is 2; then the value of \left | a \right | is :

Option: 1

2       


Option: 2

\sqrt{2}


Option: 3

4


Option: 4

2\sqrt{2}


Answers (1)

Clearly, mean A = 0

\\\text { Now, standard deviation } \sigma=\sqrt{\frac{\Sigma(x-\mathrm{A})^{2}}{2 n}}\\ 2 =\sqrt{\frac{a^{2} \cdot 2 n}{2 n}}=|a| \\ \text { Hence, }|a|=2 

Posted by

Sumit Saini

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