Worksheet for Harmonic Mean

Harmonic Mean is derived from number of observations divided by the sum of reciprocals of the observations. The Statistics worksheet help you to unerstand how to calculate the harmonic mean value for the set of given data.

Formula:


Example:
Find the Harmonic mean whose input values are X = {10,20,30,40,50}.

Solution:
Here No. of inputs, n = 5
Harmonic Mean (H) = 5 /((1/10) + (1/20) + (1/30)+ (1/40)+ (1/50))
   = 5/(0.1+0.05+0.033+0.025+0.02)
   = 5/(0.228)
   = 21.8978
Hence the Harmonic mean for the above data is 21.8978.

When you try such calculations on your own, this harmonic mean calculator can be used to verify your results of calculations.