The mean and variance of n values of a variable x are 0 and 02, respectively. If the VariabLe y = x2 then mean of y is

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σ2

None of these

answer is B.

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Detailed Solution

Given that, mean = 0 and variance =σ2( for x) Therefore, variance =σ2=Σx2n−Σxn2⇒ σ2=Σx2n−0 ⇒σ2=Σx2n Now, y=x2⇒ Σy=Σx2 ∴ y¯=Σx2n=σ2

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