Arithmetic Mean

Pronunciation: /ærɪθˈmɛ tɪk min/ Explain

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. Merriam-Webster. Last Accessed 8/6/2018.
  2. Lodge, Sir Oliver, F.R.S.. Easy Mathematics, Mainly Arithmetic. pg 339. Easy Mathematics. MacMillan and Company, Ltd.. 1906. Last Accessed 8/6/2018.

Cite this article as:

McAdams, David E. Arithmetic Mean. 6/15/2018. All Math Words Encyclopedia. Life is a Story Problem LLC.

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6/15/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
1/6/2010: Added "References". (McAdams, David E.)
12/3/2008: Changed equations to images. (McAdams, David E.)
6/24/2008: Changed equations to LaTeX, added descriptions of the variables. (McAdams, David E.)
8/20/2007: Add this revision history. (McAdams, David E.)
7/12/2007: Initial version. (McAdams, David E.)

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