The mean and variance of n values of a variable x are 0 and σ2, respectively. If the variable y = x2  then mean of y is 

The mean and variance of n values of a variable x are 0 and σ2, respectively. If the variable y = x then mean of y is 

  1. A

    σ

  2. B

    σ2

  3. C

    1

  4. D

    None of these

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    Solution:

    Given that, mean = 0 and variance =σ2( for x) Therefore, variance =σ2=Σx2nΣxn2

         σ2=Σx2n0    σ2=Σx2n Now,         y=x2        Σy=Σx2        y¯=Σx2n=σ2

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