Root-mean-square

The root-mean-square or quadratic mean of a collection of real numbers $x_1,\dots , x_n$ is defined to be $\sqrt{\frac{x^2_1+x^2_2+\dots+x^2_n}{n}}$ . This is the second power mean of the $x_i$ .

It is so-named because it is the square root of the mean of the squares of the $x_i$ .

It is also part of the well-known RMS-AM-GM-HM Inequality

Page

Toolbox

Search

Root-mean-square

See Also