The difference between Arithmetic mean and Contraharmonic 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 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, ie. c = { {( x_1^2 + x_2^2 + ... + x_n^2) \over n } \over { ( x_1 + x_2 + ... + x_n ) \over n } }\ or \ c(x_1, x_2, ..., x_n) ={ { x_1^2+x_2^2+...+x_n^2} \over {x_1+x_2+...+x_n }}.

check bellow for the other definitions of Arithmetic mean and Contraharmonic 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. Contraharmonic mean as a noun (mathematics):

    A type of average calculated as the arithmetic mean of the squares of the values divided by the arithmetic mean of the values, ie. C = { {( x_1^2 + x_2^2 + ... + x_n^2) \over n } \over { ( x_1 + x_2 + ... + x_n ) \over n } }\ or \ C(x_1, x_2, ..., x_n) ={ { x_1^2+x_2^2+...+x_n^2} \over {x_1+x_2+...+x_n }}

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