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contraharmonic mean

contraharmonic mean noun: a type of average calculated as the arithmetic mean of the squares of the values divided by the arithmetic mean of the values, i.e. C=(x_1²+x_2²+...+x_n²)/n/(x_1+x_2+...+x_n)/norC(x_1,x_2,...,x_n)=x_1²+x_2²+...+x_n²/x_1+x_2+...+x_n.

Noun

contraharmonic mean (plural contraharmonic means)

  1. A type of average calculated as the arithmetic mean of the squares of the values divided by the arithmetic mean of the values, i.e. C=(x_1²+x_2²+...+x_n²)/n/(x_1+x_2+...+x_n)/norC(x_1,x_2,...,x_n)=x_1²+x_2²+...+x_n²/x_1+x_2+...+x_n
    • The contraharmonic mean of two numbers a and c is the number b such that #123;a-b#92;overc#125;#61;#123;b-c#92;overa#125;. Combining the two ratios: #123;b-c#92;overa#125;#61;#123;(a-b)#43;(b-c)#92;overc#43;a#125;#61;#123;a-c#92;overa#43;c#125;. Rotating the proportion 90° clockwise...

Forms of contraharmonic mean

pluralcontraharmonic means

Origin of contraharmonic mean

The contraharmonic mean of two variables is at the same distance from their arithmetic mean as their harmonic mean but on the opposite side.

Questions about contraharmonic mean

What does contraharmonic mean mean?
Contraharmonic mean means a type of average calculated as the arithmetic mean of the squares of the values divided by the arithmetic mean of the values, i.e. C=(x_1²+x_2²+...+x_n²)/n/(x_1+x_2+...+x_n)/norC(x_1,x_2,...,x_n)=x_1²+x_2²+...+x_n²/x_1+x_2+...+x_n.
What part of speech is contraharmonic mean?
Contraharmonic mean is a noun.
What is the plural of contraharmonic mean?
The plural of contraharmonic mean is contraharmonic means.

Words near contraharmonic mean in the dictionary

  1. contragrediently
  2. contraguitar
  3. contraguitarist
  4. contraguitarists
  5. contraguitars
  6. contraharmonic mean
  7. contraharmonic means
  8. contrahedonic
  9. contrahelicase
  10. contrahelicases
  11. contrahemispheric

Source and license

Adapted from Wiktionary: contraharmonic mean (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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