Root-Mean-Square
The root-mean-square (RMS) of a variate 
, sometimes called the Quadratic Mean, is the Square Root ofthe mean squared value of :
 |  |  | (1) |
 |  | (2) |
Hoehn and Niven (1985) show that
 | (3) |
.Physical scientists often use the term root-mean-square as a synonym for Standard Deviation when they refer to theSquare Root of the mean squared deviation of a signal from a given baseline or fit.
See also Arithmetic-Geometric Mean, Arithmetic-Harmonic Mean, Generalized Mean, Geometric Mean,Harmonic Mean, Harmonic-Geometric Mean, Mean, Median (Statistics), Standard Deviation,Variance
References
Hoehn, L. and Niven, I. ``Averages on the Move.'' Math. Mag. 58, 151-156, 1985.
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