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# Root Mean Square Calculator

Calculate the root mean square of a set of numbers.

Root Mean Square Calculator
Enter numbers separated by comma [example1], space [example2] or line break [example3]:
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## About Root Mean Square Calculator

The 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:

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