# Relative Standard Deviation (RSD) Calculator

Use our free online relative standard deviation (RSD) calculator to know the standard deviation and %RSD for the given mean of data. Enter a range of mean values separated by a comma to do RSD calculation.

Use our free online relative standard deviation (RSD) calculator to know the standard deviation and %RSD for the given mean of data. Enter a range of mean values separated by a comma to do RSD calculation.

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**Relative Standard Deviation (RSD):**
It is a special form of the standard deviation, which compares the standard deviation with the mean of the given data set and tells you whether the 'regular' standard deviation is small or large when compared to the mean of the given data set.

The relative standard deviation (RSD) is expressed in percent and is obtained by multiplying the standard deviation by 100 and dividing this product by the average.

#### Formula:

S = √ (Σ (x- x )^{2} / N - 1)
% RSD = S × 100/ x

** Where, **
Mean = X/N
X = Summation of x value
N = The count of mean values
S = Standard Deviation value
x = Mean of the data
Use our **online relative standard deviation (RSD) calculator** to do % RSD calculation which helps you to determine how small or large is the standard deviation when compared to the mean of the given data set. For example in a data set, the mean is 4.4 and if the standard deviation is 0.1, then the relative standard deviation calculated is 2.3% which states that the SD is only 2.3% of the mean 4.4, which is very small. This indicates that the the data is tightly clustered around the mean. The RSD is usually written with the mean and a plus/minus symbol.