# Gaurabh Raghav

## Question: List out the merits and limitations of harmonic mean

# Gaurabh Raghav

## ANS: List out the merits and limitations of harmonic mean

**Merits:**

**(i) **its value is based on every item of the series.

**(ii)** It tends itself to algebraic manipulation.

**(iii) **In problems relating to time and rates it gives better results than other averages.

**Limitations:**

**(i)** it is not easily understood.

**(ii)** It is difficult to compute.

**(iii)** It gives largest weight to smallest items this is generally not a desirable feature and as such this average is not very useful for the analysis of economic data.

**(iv)** Its value cannot be computed when there are both positive and negative items in a series or when one or more items are zero.

**(v) **Because of these limitations the harmonic mean has little practical application and is not a good representation of a statistical series unless the phenomenon is such where small items need to be given a very high weight age.