Difference between revisions of "Root-mean-square"

 
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The '''root-mean square''', or ''quadratic mean'', of any positive real numbers <math>x_1,\dots , x_n</math>, is
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The '''root-mean square''' or ''quadratic mean'' of a collection of [[real number]]s <math>x_1,\dots , x_n</math> is defined to be <math>\sqrt{\frac{x^2_1+x^2_2+\dots+x^2_n}{n}}</math>.  This is the second [[power mean]] of the <math>x_i</math>.
  
<math>\sqrt{\frac{x^2_1+x^2_2+\dots+x^2_n}{n}}</math>
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== See Also ==
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* [[RMS-AM-GM-HM]] [[inequality]]
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* [[Power Mean Inequality]]
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Revision as of 20:03, 16 July 2007

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 $x_i$.


See Also

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