What is Harmonic Mean?
Harmonic Mean is also a mathematical average but is limited in its application. It is generally used to find average of variables that are expressed as a ratio of two different measuring units e. g. speed is measured in km/hr or miles/sec etc.
Weighted Harmonic Mean
· H.M.H.M. = Harmonic Mean
· WW = Weight
· XX = Variable value
Find the weighted H.M. of the items 4, 7,12,19,25 with weights 1, 2,1,1,1 respectively.
Based on the above mentioned formula, Harmonic Mean G.M.G.M. will be:
∴ Weighted H.M = 8.4317
We’re going to discuss methods to compute the Harmonic Mean for three types of series:
· Individual Data Series
· Discrete Data Series
· Continuous Data Series
Individual Data Series
When data is given on individual basis. Following is an example of individual series:
Discrete Data Series
When data is given alongwith their frequencies. Following is an example of discrete series:
Continuous Data Series
When data is given based on ranges alongwith their frequencies. Following is an example of continous series: