# Arithmetic Mean

Arithmetic Mean

One of several accepted measures of central tendency, physically analogous to center of gravity. Pertaining to a set of numbers $x_1, x_2,...x_n$, the arithmetic mean, usually denoted by the symbol $\bar{x}$, is the sum $x_1 + x_2 + ... + x_n$ divided by n. Also called mean, average, simple average.

Since the word mean is also applied to other measures of central tendency, such as weighted means, geometric means, harmonic means, the adjective arithmetic is used for clarity. However, when used without further qualification, the term mean is understood as arithmetic mean.