Harmonic mean

inverse of the average of the inverses of a set of numbers

Harmonic means are a type of mean. It is the number of values divided by the reciprocal of the values.[1] If there are numbers , then the harmonic mean of these numbers are

Out of the geometric mean and arithmetic mean, the harmonic mean is usually the smallest.[2]

Example change

Let's find the harmonic mean of 2,4 and 5. There are three numbers so we will be dividing three. The reciprocals of the numbers are  ,   and  . If we add the reciprocals we get  . If we divide three by this number, the result is   (approximately 3.157894737)

References change

  1. "mean | Definition, Formula, & Facts | Britannica". www.britannica.com. Retrieved 2022-08-26.
  2. Weisstein, Eric W. "Pythagorean Means". mathworld.wolfram.com. Retrieved 2022-08-26.