# Quadratic mean

From Encyclopedia of Mathematics

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=43577

This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article