## About This Tool

The online Relative Standard Deviation Calculator is used to calculate the relative standard deviation (RSD) of a set of numbers.

## Relative Standard Deviation

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. It is useful for comparing the uncertainty between different measurements of varying absolute magnitude.

## Formula

The following is the relative standard deviation calculation formula:

Where:

s = sample standard deviation

RSD = relative standard deviation

x_{1}, ..., x_{N} = the sample data set

x̄ = mean value of the sample data set

N = size of the sample data set