# Arithmetic mean

From AMS Glossary

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## arithmetic mean

- (
*Also called*mean, average, simple average.) 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 , is the sum*x*_{1}+*x*_{2}+ . . . +*x*_{n}divided by*n*. Since the word "mean" is also applied to other measures of central tendency, such as weighted means, geometric means, and harmonic means, the adjective "arithmetic" is used for clarity. However, when used without further qualification, the term "mean" is understood as arithmetic mean.*Compare*geometric mean.