Standard Deviation

Next: -th moment Up: Statistical Operations Previous: Median Contents

Standard Deviation

$\includegraphics[height=10mm]{images/stdDev}% WIDTH=48 HEIGHT=44$

The operator can be placed on the canvas in two ways:

From the Statistics (``statistics'') toolbar $\resizebox{!}{2ex}{\includegraphics{images/mean}}% WIDTH=15 HEIGHT=14$ ; or
By typing the letters ``stdDev'' on the canvas and then pressing the Enter key

Returns the standard deviation along a named dimension of all elements present. If the dimension is not named, then the standard deviation is over all elements present in the tensor. Note that missing elements are not counted.

$\begin{displaymath} \sigma=\frac{1}{N-1}\sum_{i}^{N}(x_{i}-\langle x\rangle)^{2} \end{displaymath}% WIDTH=365 HEIGHT=98$