harmonic mean
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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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "http://localhost:6011/en.wiktionary.org/v1/":): {\displaystyle {a-b\over a} = {b-c \over c}} . 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