Variance & Mean Calculator

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Formulas and Output

\[mean = \frac{\sum x}{n} = \frac{ 10.0 }{ 4 } = 2.5\] \[Variance = { \frac{\sum (x_i - mean)^{2}}{n-1} } = { \frac{ \sum x^{2} - (\sum x)^{2}/n }{n-1}} = { \frac{ 30.0 - (10.0)^{2}/ 4 }{ 4 -1}} = 1.66667\] \[Stdev = \sqrt{ \frac{\sum (x_i - mean)^{2}}{n-1} } = \sqrt{ \frac{ \sum x^{2} - (\sum x)^{2}/n }{n-1}} = \sqrt{ \frac{ 30.0 - (10.0)^{2}/ 4 }{ 4 -1}} = 1.29099\]