Standard deviation $σ$

The example: Calculate standard deviation of values: 1; 2; 3; 4; 5.

A calculation of the standard deviation

x_i (the values are separated by a space):

The standard deviation $σ$ is the square root of the variance.

$σ^{2} = \frac{⅀_{i = 1}^{n} {(x_{i} - \bar{x})}^{2}}{n}$

$σ = \sqrt{σ^{2}}$

$σ = \sqrt{\frac{⅀_{i = 1}^{n} {(x_{i} - \bar{x})}^{2}}{n}}$

The standard deviation is an indicator of variability.

Standard deviation σ