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Harmonic Mean — result sheet
Calculate the harmonic mean of a list of positive values.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Harmonic mean = number of values / sum of the reciprocals of the values.
The harmonic mean averages reciprocals and is often useful for rates or ratios where each observation represents the same numerator. Smaller values have greater influence than they do in an arithmetic mean.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Positive values — Enter 1-1,000 positive numbers separated by commas or spaces.
Worked example
| Input | Value |
|---|---|
| Positive values | 2, 8 |
Harmonic mean 3.2.
Assumptions and limits
- Every value is positive, finite, and comparable on one scale.
- All values receive equal weight; zero, negative, and weighted observations are outside this contract.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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