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{{ printedBook.courseTrack.name }} {{ printedBook.name }} The standard deviation is a commonly used measure of spread of a data set. It is a measure of how much the data elements differ from the mean. To denote the standard deviation, the Greek letter $σ$ is commonly used, which is read as sigma.

The standard deviation is the quadratic mean of the difference between the data values $x_{i}$ and the mean $xˉ.$
$σ=n(x_{1}−xˉ)_{2}+(x_{2}−xˉ)_{2}+…+(x_{n}−xˉ)_{2} $
The applet below calculates the standard deviation for the data set on the number line.
Move the points around to change the data.

Image not found. We apologize, please report this so that we can fix it as soon as possible!File = mljsx_Concept_Standard_Deviation_1.svg, id = Concept_Standard_Deviation_1