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.^[2] 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

1. 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
2. arithmetic mean. Merriam-Webster. Last Accessed 6/12/2018. https://www.merriam-webster.com/dictionary/arithmetic%20mean. Buy the book
3. 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. https://www.allmathwords.org/en/a/arithmeticmean.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

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.)