(Solved): Computing formula for the variance The kth moment about the origin is: \[ \mu_{k}^{\prime}=\sum_{\ ...

Computing formula for the variance The kth moment about the origin is: \[ \mu_{k}^{\prime}=\sum_{\text {all } x} x^{k} \cdot f(x) \] And the kth moment about the mean is: \[ \mu_{k}=\sum_{\text {all } x}(x-\mu)^{k} \cdot f(x) \] The computing formula is: \[ \sigma^{2}=\mu_{2}^{\prime}-\mu^{2} \]