# Root Mean Square

In mathematics, the root mean square (abbreviated RMS or rms), also known as the quadratic mean, is a statistical measure of the magnitude of a varying quantity. It is especially useful when variates are positive and negative, e.g., sinusoids. RMS is used in various fields, including electrical engineering.

It can be calculated for a series of discrete values or for a continuously varying function. The name comes from the fact that it is the square root of the mean of the squares of the values. It is a special case of the generalized mean with the exponent p = 2.

### Other articles related to "root mean square, square":

Root Mean Square - Relationship To The Arithmetic Mean and The Standard Deviation
... RMS value is always greater than or equal to the average, in that the RMS includes the "error" / square deviation as well ... Physical scientists often use the term "root mean square" as a synonym for standard deviation when referring to the square root of the mean squared deviation of a signal from a ... Standard deviation being the root mean square of a signal's variation about the mean, rather than about 0, the DC component is removed (i.e ...

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