harmonic mean
Appearance
English
[edit]Noun
[edit]harmonic mean (plural harmonic means)
- (mathematics) A type of measure of central tendency calculated as the reciprocal of the mean of the reciprocals, i.e., .
- The harmonic mean of two numbers and is the number such that . Combining the two ratios: . Rotating the proportion 90° clockwise: ; transposing twice to isolate the : . Likewise ; these are both equivalent to the more typical, symmetrical equations: .
Hypernyms
[edit]- (statistics): measure of central tendency
- Pythagorean mean
Derived terms
[edit]Translations
[edit]type of average
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See also
[edit]References
[edit]- Means, Meaning, and Music: Pythagoras, Archytas, and Plato by Scott Makeig, §The Tetractus of Means