what are the advantages of using the harmonic mean 
the harmonic mean necessarily includes all the entries in a series and it allows a more significant weighting to be given to smaller values harmonic mean can be calculated for a series that includes negative values although it is impossible to compute when the series includes a value of zero in comparison with the arithmetic mean and geometric mean the harmonic mean generates a straighter curve the bottom linethe harmonic mean is calculated by dividing the number of entries in a series by the reciprocal of each number in the series the harmonic mean stands out from the other types of pythagorean mean the arithmetic mean and geometrical mean by using reciprocals and giving greater weight to smaller values the harmonic mean is best used for fractions such as rates and in finance it is useful for averaging data like price multiples and identifying patterns such as fibonacci sequences 