Frequently Asked Questions
When is the harmonic mean the right average?
It is the correct average for rates over equal numerators, the classic case being average speed over equal distances. It is also used in the F1 score in machine learning.
Why is it the smallest of the three means?
The harmonic mean gives more weight to small values, so it always comes out at or below the geometric and arithmetic means for the same data.
Can I include zero or negative values?
No. A zero would make a reciprocal infinite and break the calculation, so the harmonic mean requires strictly positive values.
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