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Difference between revisions of "Quadratic mean"

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The number $s$ equal to the square root of the [[Arithmetic mean|arithmetic mean]] of the squares of given numbers $a_1,\ldots,a_n$:
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The number $s$ equal to the square root of the [[Arithmetic mean|arithmetic mean]] of the squares of given numbers $a_1,\dots,a_n$:
  
$$s=\sqrt\frac{a_1^2+\ldots+a_n^2}{n}.$$
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$$s=\sqrt\frac{a_1^2+\dots+a_n^2}n.$$
  
  

Latest revision as of 13:55, 30 December 2018

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

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


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