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Math & statistics

Harmonic mean

Harmonic mean: Harmonic mean = count / Σ(1/value).

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How it works

Harmonic mean = count / Σ(1/value). All entries must be strictly positive.

Input definitions

Positive numbers
Plain text; maximum 200,000 characters.

A worked example

Positive numbers
1,2,4
1.714286

Assumptions & limits

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

When is the harmonic mean useful?

It can average rates over equal distances or equal workloads. It is not interchangeable with the arithmetic mean of equally timed observations.

How does Harmonic mean work?

Harmonic mean = count / Σ(1/value). All entries must be strictly positive.

What should I check before using Harmonic mean?

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

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