Online Tools and Calculators > Math > Relative Standard Deviation Calculator

Relative Standard Deviation Calculator

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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:

Sample Standard Deviation Formula

Relative Standard Deviation Formula

Where:
s = sample standard deviation
RSD = relative standard deviation
x1, ..., xN = the sample data set
x̄ = mean value of the sample data set
N = size of the sample data set

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