The difference between Arithmetic mean and Harmonic mean

When used as nouns, arithmetic mean means the measure of central tendency of a set of values computed by dividing the sum of the values by their number, whereas harmonic mean means a type of measure of central tendency calculated as the reciprocal of the mean of the reciprocals, ie, h = { n \over {1 \over x_1} + {1 \over x_2} + \cdots {1 \over x_n} }.

check bellow for the other definitions of Arithmetic mean and Harmonic mean

  1. Arithmetic mean as a noun (statistics, probability):

    The measure of central tendency of a set of values computed by dividing the sum of the values by their number; commonly called the mean or the average.

    Examples:

    "The arithmetic mean of 3, 6, 2, 3 and 6 is (3 + 6 + 2 + 3 + 6) / 5 = 4."

  1. Harmonic mean as a noun (mathematics):

    A type of measure of central tendency calculated as the reciprocal of the mean of the reciprocals, ie, H = { n \over {1 \over x_1} + {1 \over x_2} + \cdots {1 \over x_n} }

    Examples:

    "If ''a''<sub>''n''</sub> and ''b''<sub>''n''</sub> denote the perimeters of inscribed and circumscribed regular ''n''-gons, respectively, along some circle then the harmonic mean and geometric mean of those two perimeters yield the perimeters of the inscribed and circumscribed regular 2''n''-gons, respectively, along that same circle. (This is Archimedes' Recurrence Formula.)"

Compare words:

Compare with synonyms and related words: