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Root Mean Square Calculator

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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 x1, x2, ... , xn, the RMS value is given by:

Root Mean Square Formula

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