Question

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

Answer 1

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