## About This Tool

The online Root Mean Square Calculator is used to calculate the root mean square (quadratic mean) of a set of numbers.

## Root Mean Square (Quadratic Mean)

In mathematics, the root mean square (abbreviated RMS or rms) is a statistical measure of the magnitude of a varying quantity. It is also known as the quadratic mean.

## Calculating Root Mean Square

The Root Mean Square (RMS) value of a set of values is the square root of the arithmetic mean (average) of the squares of the original values.

In the case of a set of n values x_{1}, x_{2}, ... , x_{n}, the RMS value is given by: