Geometric Mean

Pronunciation: /ˌdʒi.əˈmɛt.rɪk min/ Explain

The geometric mean of a set of numbers {a₁, a₂, a₃, …, a_n} is the n^th root of the product of the numbers in the set.^[3]

The geometric mean of {1, 4, 6} is: A geometric mean is also called a mean proportional.

References

1. McAdams, David E.. All Math Words Dictionary, geometric mean. 2nd Classroom edition 20150108-4799968. pg 85. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. geometric mean. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 7/11/2018. http://www.merriam-webster.com/dictionary/geometric mean. Buy the book
3. mean proportional. https://www.merriam-webster.com/dictionary. Merriam-Webster Online Dictionary. Merriam-Webster. Last Accessed 7/11/2018. https://www.merriam-webster.com/dictionary/mean%20proportional. Buy the book
4. Lodge, Sir Oliver, F.R.S.. Easy Mathematics, Mainly Arithmetic. pg 340. www.archive.org. Easy Mathematics. MacMillan and Company, Ltd.. 1906. Last Accessed 7/11/2018. http://www.archive.org/stream/easymathematicsc00lodgrich#page/340/mode/1up/search/mean.
5. Young, J. W. A. and Jackson, Lambert L.. A Second Course in Elementary Algebra. pp 178. www.archive.org. D. Appleton and Company. 1910. Last Accessed 7/11/2018. http://www.archive.org/stream/secondcourseinel00younrich#page/178/mode/1up/search/geometric. Buy the book

Cite this article as:

McAdams, David E. Geometric Mean. 4/21/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/g/geometricmean.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

4/21/2019: Updated equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
7/10/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
1/6/2010: Added "References". (McAdams, David E.)
4/18/2009: Initial version. (McAdams, David E.)