Relative Standard Deviation Calculator

Calculate Relative Standard Deviation (RSD)



Formula

The formula to calculate the Relative Standard Deviation (RSD) is:

\[ RSD = \left( \frac{SD}{|M|} \right) \cdot 100 \]

Where:

What is Relative Standard Deviation?

Relative standard deviation (RSD) is a statistical measure used to express the variability or dispersion of a data set relative to its mean. It is a dimensionless quantity expressed as a percentage and enables comparison of the variability between different data sets or populations.

Why is RSD Important?

RSD is important because it provides a standardized measure of dispersion, allowing for meaningful comparisons between different data sets. It is particularly valuable when dealing with data sets of varying scales, where comparing the absolute standard deviations might be misleading due to the different units involved.

Example Calculation

Let's assume the following values:

Using the formula to calculate the Relative Standard Deviation:

\[ RSD = \left( \frac{5}{50} \right) \cdot 100 = 10 \% \]

The Relative Standard Deviation is 10%.