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In the set of numbers 2,3,5,7,7,8,10
what is
a) the arithmatic mean
b) the harmonic mean
c) geometric mean

  • math -

    for the arithmetic mean on n numbers
    ... add up all the numbers, then divide by n
    so arithmetic mean = (2+3+5+7+7+8+10)/7 =

    the harmonic mean of n numbers is
    n divided by the sum of the reciprocals of those numbers
    so harmonic mean = 7/(1/2 + 1/3 + 1/5 + 1/7 + 1/7 + 1/8 + 1/10) =

    the geometric mean of n numbers is
    the nth root of the product of the numbers
    so geometric mean = 7th root(2*3*5*7*7*8*10)
    = 7th root(117600) = 5.3

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