Definition:Arithmetic Mean

Definition
Let $x_1, x_2, \ldots, x_n \in \R$ be real numbers.

The arithmetic mean of $x_1, x_2, \ldots, x_n$ is defined as:


 * $\ds A_n := \dfrac 1 n \sum_{k \mathop = 1}^n x_k$

That is, to find out the arithmetic mean of a set of numbers, add them all up and divide by how many there are.

Also see
Note that there are several kinds of average and indeed, several different kinds of mean. This is just one of them.


 * Definition:Mean


 * Definition:Arithmetic-Geometric Mean
 * Definition:Geometric Mean
 * Definition:Harmonic Mean
 * Definition:Hölder Mean
 * Definition:Weighted Mean


 * Cauchy's Mean Theorem
 * AM-HM Inequality
 * Definition:Average Value of Function

Other measures of central tendency that are often introduced in schools at the same time:


 * Definition:Mode
 * Definition:Median (Statistics)