Arithmetic Mean

Pronunciation: /ærɪθˈmɛ tɪk min/ ?

The arithmetic mean of a set of numbers is the sum of the numbers divided by how many numbers there are in the set.[1] This is the most commonly used average. The formula for the arithmetic mean is

The arithmetic mean of set x equals the sum of the elements of x divided by the number of elements of x.
where a1,a2,a3,... are the numbers in the set and n is the number of numbers in the set.

For example, the arithmetic mean of {3,7,8,12} is (3+7+8+12)/4 = 30/4 = 7.5.

The definition of arithmetic mean in mathematical language is


  1. arithmetic mean. Encyclopedia Britannica. (Accessed: 2009-03-12). mean.
  2. Lodge, Sir Oliver, F.R.S.. Easy Mathematics, Mainly Arithmetic, pg 339. Easy Mathematics. MacMillan and Company, Ltd., 1906. (Accessed: 2010-01-06).

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Cite this article as:

Arithmetic Mean. 2010-01-06. All Math Words Encyclopedia. Life is a Story Problem LLC.


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Revision History

2010-01-06: Added "References" (McAdams, David.)
2008-12-03: Changed equations to images (McAdams, David.)
2008-06-24: Changed equations to LaTeX, added descriptions of the variables (McAdams, David.)
2007-08-20: Add this revision history (McAdams, David.)
2007-07-12: Initial version (McAdams, David.)

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