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
where
are the numbers in the set and
is the number of numbers in the set.
For example, the arithmetic mean of
is
.
The definition of arithmetic mean in mathematical language is
References
- arithmetic mean. Merriam-Webster. Last Accessed 8/6/2018. https://www.merriam-webster.com/dictionary/arithmetic%20mean.
- Lodge, Sir Oliver, F.R.S.. Easy Mathematics, Mainly Arithmetic. pg 339. www.archive.org. Easy Mathematics. MacMillan and Company, Ltd.. 1906. Last Accessed 8/6/2018. http://www.archive.org/stream/easymathematicsc00lodgrich#page/339/mode/1up/search/mean.
Cite this article as:
McAdams, David E. Arithmetic Mean. 6/15/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/a/arithmeticmean.html.
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Revision History
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.)