Harmonic Mean

Pronunciation: /hɑrˈmɒn ɪk min/ Explain

A harmonic mean is a type of average. It is especially useful for rates and ratios. A rate is a value in one dimension divided by a value in another dimension such as kilometers per hour. The formula for the harmonic mean is:

H= n/(1/x1 + 1/x2 + 1/x3 + ... + 1/xn)
where xi is the ith value in the dataset and n is the number of values in the dataset.

Cite this article as:

McAdams, David E. Harmonic Mean. 7/18/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/h/harmonicmean.html.

Image Credits

Revision History

7/16/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
10/25/2010: Initial version. (McAdams, David E.)

All Math Words Encyclopedia is a service of Life is a Story Problem LLC.
Copyright © 2018 Life is a Story Problem LLC. All rights reserved.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License