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A type of measure of central tendency calculated as the reciprocal of the mean of the reciprocals, i.e., H=n/1/x_1+1/x_2+⋯+1/x_n.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
Examples
- The harmonic mean of two numbers a and c is the number b such that #123;a-b#92;overa#125;#61;#123;b-c#92;overc#125;. Combining the two ratios: #123;b-c#92;overc#125;#61;#123;(a-b)#43;(b-c)#92;overa#43;c#125;#61;#123;a-c#92;overa#43;c#125;. Rotating the proportion 90° clockwise: #123;c#92;overa#43;c#125;#61;#123;b-c#92;overa-c#125;; transposing twice to isolate the b: b#61;c#43;c#92;left(#123;a-c#92;overa#43;c#125;#92;right). Likewise b#61;a-a#92;left(#123;a-c#92;overa#43;c#125;#92;right); these are both equivalent to the more typical, symmetrical equations: b#61;#123;2ac#92;overa#43;c#125;#61;#123;2#92;over#123;1#92;overa#125;#43;#123;1#92;overc
Meaning relationships
Synonyms: none provided
Antonyms: none provided
the mean of n numbers expressed as the reciprocal of the arithmetic mean of the reciprocals of the numbers
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: mean, mean value
No etymology was provided for this word.
Across languages
Translations
18 source translations are retained for this English entry.
-
Chinese Mandarin:
調和平均數 /调和平均数
(tiáohé píngjūnshù)
— type of average
-
Czech:
harmonický průměr
— type of average
-
Finnish:
harmoninen keskiarvo
— type of average
-
French:
moyenne harmonique
— type of average
-
German:
harmonisches Mittel
— type of average
-
Hindi:
हरात्मक माध्य
(harātmak mādhya)
— type of average
-
Hungarian:
harmonikus közép
— type of average
-
Indonesian:
rerata harmonik
— type of average
-
Japanese:
調和平均
(chōwaheikin)
— type of average
-
Korean:
조화 평균
(johwa pyeonggyun)
— type of average
-
Polish:
średnia harmoniczna
— type of average
-
Portuguese:
média harmónica
— type of average
-
Portuguese:
média harmônica
— type of average
-
Russian:
сре́днее гармони́ческое
(srédneje garmoníčeskoje)
— type of average
-
Serbo-Croatian:
harmonijska sredina
— type of average
-
Spanish:
media armónica
— type of average
-
Swedish:
harmoniskt medelvärde
— type of average
-
Tagalog:
suwatuhing tamtaman
— type of average
