Geometric Mean

Pronunciation: /ˌdʒi əˈmɛt rɪk min/ ?

The geometric mean of a set of numbers {a1, a2, a3, ..., an} is the nth root of the product of the numbers in the set.[1]

M= nth root (a1*a2*a3*...*an)
The geometric mean {1, 4, 6} is:
M=3rd root(1*4*6) = 3rd root(24) is about 2.884499.

References

  1. geometric mean. merriam-webster.com. Encyclopedia Britannica. (Accessed: 2010-02-05). http://www.merriam-webster.com/dictionary/geometric mean.
  2. Lodge, Sir Oliver, F.R.S.. Easy Mathematics, Mainly Arithmetic, pg 340. Easy Mathematics. MacMillan and Company, Ltd., 1906. (Accessed: 2010-02-05). http://www.archive.org/stream/easymathematicsc00lodgrich#page/340/mode/1up/search/mean.
  3. Young, J. W. A. and Jackson, Lambert L.. A Second Course in Elementary Algebra, pp 178. D. Appleton and Company, 1910. (Accessed: 2010-02-05). http://www.archive.org/stream/secondcourseinel00younrich#page/178/mode/1up/search/geometric.

Cite this article as:


Geometric Mean. 2010-02-06. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/g/geometricmean.html.

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2010-01-06: Added "References" (McAdams, David.)
2009-04-18: Initial version (McAdams, David.)

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