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Harmonic mean calculator

Compute the harmonic mean of a list of positive numbers.

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Need Harmonic mean? The Harmonic mean calculator derives it from Numbers (comma-separated) in one step. For instance, with Numbers (comma-separated) = 1, 2, 4 it returns Harmonic mean = 1.714.

How to use it

  1. Enter your values: Numbers (comma-separated).
  2. Read the result instantly: Harmonic mean.

Frequently asked questions

How does the Harmonic mean calculator work?

It takes Numbers (comma-separated) and derives Harmonic mean from them. The calculation is live as you type, so the result updates on every change.

Which values does the calculator ask for?

A single value: Numbers (comma-separated). Nothing else is required — no account, no file upload.

What does a typical calculation look like?

With Numbers (comma-separated) = 1, 2, 4, the calculator returns Harmonic mean = 1.714. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

What does it give for smaller values?

Scaled down to Numbers (comma-separated) = 1, 2, Harmonic mean comes out at 1.333. The relationship is worth checking at both ends before you rely on a single result.

When would I actually use this?

Summarising a dataset before drawing conclusions from it, checking whether a difference between two groups is real, and putting an interval around an estimate.

What is the most common mistake?

Reading a p-value as the probability that the hypothesis is wrong. It is the probability of seeing data at least this extreme if the null were true — a different statement, and a much weaker one.

What is the difference between the Harmonic mean calculator and the Geometric mean calculator?

This one returns Harmonic mean; the Geometric mean calculator returns Geometric mean. That is the whole difference — open the one whose figure you need.

Is there a tool for the next step?

Mean absolute deviation (MAD) calculator is the closest one after this: Compute the mean absolute deviation of a data set around its mean.

What else is worth having open alongside it?

Average (mean) calculator and Mean, median & mode calculator — they come up in the same task often enough to be worth a second tab.

Where do the figures come from, and how current are they?

Distributions and test statistics are computed from their standard definitions, not from a lookup table, so results carry more digits than a printed table would. The assumptions each test makes are stated with it.

Further reading

All guides →
How-toHow to Calculate Standard Deviation (Step by Step)Standard deviation measures how spread out your data is. Here's the formula, a worked example, and the difference between population and sample.ExplainerMean, Median and Mode: What's the Difference?Mean, median and mode all describe the 'middle' of your data — but answer different questions. Here's what each means, with examples and when to use which.ExplainerGeometric vs Arithmetic Mean: Which to UseThe arithmetic mean adds and divides; the geometric mean multiplies and takes a root. Learn which fits growth rates, ratios, and averages.ExplainerProbability Basics, With ExamplesProbability measures how likely something is, from 0 to 1. Here's the basic idea, how to combine events with AND and OR, and the complement.ExplainerWhat Is a Percentile? The 90th Percentile ExplainedA percentile tells you where a value ranks within a group. Learn what the 90th percentile really means and why a percentile is not the same as a percentage.How-toHow to Calculate a Weighted AverageA weighted average gives some values more influence than others. Learn the Σ(w·x) / Σw formula with grade and portfolio examples you can follow step by step.