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

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

Probability - Part 2

Solution:

$\mu($ mean $)=0$
Standard deviation $=\sqrt{\frac{\displaystyle\sum_{i=1}^{2 n}\left(x_i-\mu\right)^2}{2 n}} \Rightarrow|\alpha|=2$