| 1. | Thus it illustrates why the harmonic mean works in this case.
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| 2. | Similarly, the harmonic mean is lower than the geometric mean.
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| 3. | Another example of a weighted mean is the weighted harmonic mean.
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| 4. | This equality follows from the following symmetry displayed between both harmonic means:
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| 5. | Finding averages may involve using weighted averages and possibly using the Harmonic mean.
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| 6. | Then the effective population size is the harmonic mean of these, giving:
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| 7. | The harmonic mean is very sensitive to low values.
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| 8. | The arithmetic mean is often mistakenly used in places calling for the harmonic mean.
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| 9. | Then equals half the harmonic mean of and.
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| 10. | The contraharmonic is the remainder of the diameter on which the harmonic mean lies.
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