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 ${\sigma }^{2}$, respectively. If the variable y = x2  then mean of y is

1. A

$\mathrm{\sigma }$

2. B

$\mathrm{\sigma }$2

3. C

1

4. D

None of these

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Given that, mean = 0 and variance  Therefore, variance $={\mathrm{\sigma }}^{2}=\frac{{\mathrm{\Sigma x}}^{2}}{\mathrm{n}}-{\left(\frac{\mathrm{\Sigma x}}{\mathrm{n}}\right)}^{2}$