MihsabaHow to use
The harmonic mean is useful for rates such as speeds over equal distances. It gives smaller values more influence than the arithmetic mean.
- Enter positive values.
- Combine their reciprocals using a stable scaled form.
- Calculate HM and compare it with GM and AM.
How it is calculated
HM=n÷Σ(1/xᵢ)
Example
For speeds 30 and 60 over equal distances: HM = 2÷(1/30+1/60)=40, not 45.
Important notes
If weights or distances are unequal, a weighted harmonic mean may be required; this calculator implements the unweighted form.
Frequently asked questions
When should I use harmonic mean?
For averaging rates tied to equal denominator quantities, such as speeds over equal distances.
Can zero be included?
No, because 1/0 is undefined.
How do the means compare for positive data?
Generally HM ≤ GM ≤ AM.
Is this calculator free?
Yes. It is free to use and requires no account.