Harmonic Mean Calculator
MathCalculate the harmonic mean of five numbers.
Harmonic Mean
The harmonic mean, the number of values divided by the sum of their reciprocals.
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Frequently Asked Questions
What is the harmonic mean?
The harmonic mean is the number of values divided by the sum of their reciprocals. It is always less than or equal to the arithmetic mean of the same values.
When should the harmonic mean be used instead of the arithmetic mean?
It is the correct average for rates, especially when averaging speeds over the same distance, or ratios like price-to-earnings, since it properly accounts for how rates combine.
What is a classic example of when harmonic mean matters?
Averaging the speed of a trip that covers the same distance at different speeds (like 30 mph one way and 60 mph back) requires the harmonic mean, not the arithmetic mean, to get the true average speed for the whole trip.
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