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harmonicmean
harmonic mean
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There are 12 letters in HARMONICMEAN ( A1C3E1H4I1M3N1O1R1 )
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Definitions of harmonic mean in various dictionaries:
noun - the mean of n numbers expressed as the reciprocal of the arithmetic mean of the reciprocals of the numbers
HARMONIC MEAN - the mean of n numbers expressed as the reciprocal of the arithmetic mean of the reciprocals of the numbers
HARMONIC MEAN - In mathematics, the harmonic mean (sometimes called the subcontrary mean) is one of several kinds of average, and in particular one of the Pythagorea...
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In mathematics, the harmonic mean (sometimes called the subcontrary mean) is one of several kinds of average, and in particular one of the Pythagorean means. Typically, it is appropriate for situations when the average of rates is desired. * The harmonic mean can be expressed as the reciprocal of the arithmetic mean of the reciprocals of the given set of observations. As a simple example, the harmonic mean of 1, 4, and 4 is* * * * * * ( * * * * * 1 * * − * 1 * * * + * * 4 * * − * 1 * * * + * * 4 * * − * 1 * * * * 3 * * * ) * * * − * 1 * * * = * * * 3 * * * * 1 * 1 * * * + * * * 1 * 4 * * * + * * * 1 * 4 * * * * * * = * * * 3 * 1.5 * * * = * 2 * * . * * * {\displaystyle \left({\frac {1^{-1}+4^{-1}+4^{-1}}{3}}\right)^{-1}={\frac {3}{{\frac {1}{1}}+{\frac {1}{4}}+{\frac {1}{4}}}}={\frac {3}{1.5}}=2\,.} |