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Weighted Harmonic Mean Calculator

Calculate the weighted harmonic mean as Σw / Σ(w/x). Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion.

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Enter the inputs, then select Calculate.

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Your result
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Result will appear here

How Weighted Harmonic Mean Calculator works

Calculate the weighted harmonic mean as Σw / Σ(w/x).

Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Values strictly positive; nonnegative paired weights with positive total. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

Concept diagram for Weighted Harmonic Mean Calculator, showing positive values input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Weighted Harmonic Mean Calculator

Follow the labelled inputs.

Enter positive values

Replace the example with positive values. The field labels specify the expected format and units.

Input and settings
Weighted Harmonic Mean Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set nonnegative weights. Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion.

Tool result
Weighted Harmonic Mean Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate. Review the calculated result, then copy it or download the result text.

Review the details
Weighted Harmonic Mean Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Weighted Harmonic Mean Calculator

Check the supplied example

The starting example produces 2.66666666667. Calculate the weighted harmonic mean as Σw / Σ(w/x).

Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for positive values and nonnegative weights. Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion.

Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Calculate the weighted harmonic mean as Σw / Σ(w/x).

Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Values strictly positive; nonnegative paired weights with positive total. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Values strictly positive; nonnegative paired weights with positive total. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

The input stays in this browser. Copy result and Download save the same displayed text.

Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

Weighted Harmonic Mean Calculator: common questions

Answers about using Weighted Harmonic Mean Calculator and understanding its results.

What inputs and assumptions apply?

Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Values strictly positive; nonnegative paired weights with positive total. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

How can I save the result?

Copy result copies the displayed text. Download saves the same text as a TXT file. Processing runs in this browser without an account.

Calculate with your input

Check the calculated result, then copy or download it.

Calculate