Arithmetic Mean
Pronunciation: /æ.rɪθˈmɛ.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
- McAdams, David E.. All Math Words Dictionary, arithmetic mean. 2nd Classroom edition 20150108-4799968. pg 20. Life is a Story Problem LLC. January 8, 2015. Buy the book
- arithmetic mean. Merriam-Webster. Last Accessed 6/12/2018. https://www.merriam-webster.com/dictionary/arithmetic%20mean. Buy the book
- Lodge, Sir Oliver, F.R.S.. Easy Mathematics, Mainly Arithmetic. pg 339. www.archive.org. Easy Mathematics. MacMillan and Company, Ltd.. 1906. Last Accessed 6/12/2018. http://www.archive.org/stream/easymathematicsc00lodgrich#page/339/mode/1up/search/mean.
Cite this article as:
McAdams, David E. Arithmetic Mean. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/a/arithmeticmean.html.
Image Credits
Revision History
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
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.)