# Relative standard deviation

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In probability theory and statistics, the **relative standard deviation (RSD** or **%RSD)** is the absolute value of the coefficient of variation. It is often expressed as a percentage. A similar term that is sometimes used is the **relative variance** which is the square of the coefficient of variation.^{[1]} Also, the **relative standard error** is a measure of a statistical estimate's reliability obtained by dividing the standard error by the estimate; then multiplied by 100 to be expressed as a percentage.

The relative standard deviation is widely used in analytical chemistry to express the precision and repeatability of an assay.

- 100 × [(standard deviation of array X)/ (average of array X)] = relative standard deviation expressed as a percentage
^{[2]}

## See alsoEdit

## NotesEdit

- ↑ Dodge, Y. (2003)
*The Oxford Dictionary of statistical Terms*, OUP. ISBN 0-19-920613-9 - ↑ http://www.chem.tamu.edu/class/fyp/mathrev/std-dev.pdf

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