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Difference between revisions of "Quadratic mean"

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The number <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/q/q076/q076110/q0761101.png" /> equal to the square root of the [[Arithmetic mean|arithmetic mean]] of the squares of given numbers <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/q/q076/q076110/q0761102.png" />:
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The number $s$ equal to the square root of the [[Arithmetic mean|arithmetic mean]] of the squares of given numbers $a_1,\ldots,a_n$:
  
<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/q/q076/q076110/q0761103.png" /></td> </tr></table>
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$$s=\sqrt\frac{a_1^2+\ldots+a_n^2}{n}.$$
  
  

Revision as of 13:14, 9 April 2014

The number $s$ equal to the square root of the arithmetic mean of the squares of given numbers $a_1,\ldots,a_n$:

$$s=\sqrt\frac{a_1^2+\ldots+a_n^2}{n}.$$


Comments

The quadratic mean is also called the root mean square.

How to Cite This Entry:
Quadratic mean. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quadratic_mean&oldid=31437
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article