Difference between revisions of "Root-mean-square"

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It is so-named because it is the square root of the mean of the squares of the <math>x_i</math>.
 
It is so-named because it is the square root of the mean of the squares of the <math>x_i</math>.
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It is also part of the well-known [[RMS-AM-GM-HM Inequality]]
  
 
== See Also ==
 
== See Also ==

Revision as of 13:40, 8 May 2013

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

See Also

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