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Weighting Calculator

Weighting calculator works out Weighted average and Total weight from Values, Weights and Maximum possible value (optional). The default figures on this page give weighted average of 85; change any entry and the result, the working and the sources update together.

Weighted average
85
Weighted Average Calculator
Total weight
2
Σ (value × weight)
170
Unweighted (simple) average
85
Number of items
2
Largest contributor
value 90 at weight 1 (50% of the weight)
Worked out from formula WEIGHTED-MEAN and 1 other source.
No weights were given, so every value was weighted equally — the result is the simple average.

Your figures

Updates as you type
Scores, grades or measurements, comma or newline separated.
One weight per value. Percentages, credit hours or points all work — only the ratios matter. Leave blank to weight every value equally.
If each value is scored out of a fixed maximum, the result is also expressed as a percentage of it.

How this is worked out

3 steps
  1. Total weight = 2
  2. Σ(value × weight) = 80×1 + 90×1 = 170
  3. Weighted average = 170 / 2 = 85
Weight sharestable
0.5, 0.5
Item breakdowntable
valueweightweightSharecontribution
8010.540
9010.545

Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

2 sources
formula WEIGHTED-MEAN
weight_sum = Σw; weighted_mean = Σ(value × w) / weight_sum, with weights ≥ 0 and Σw > 0.
OpenStax, Introductory Statistics 2e, section 2.5 "Measures of the Center of the Data"
Defines the weighted mean and the frequency-weighted mean of grouped data.

What the weighting calculator calculates

Computes the weighted arithmetic mean of a list of values and their weights, showing each item’s share of the total weight and its contribution to the result.

How to use this weighting calculator

Enter Values, Weights and Maximum possible value (optional). Weighted average updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Weighted average, Total weight and Σ (value × weight).

The method follows formula WEIGHTED-MEAN and OpenStax, Introductory Statistics 2e, section 2.5 "Measures of the Center of the Data".

Research R682-GT-1: 80 at weight 0.4, 90 at weight 0.6 example

With Values: 80,90, Weights: 0.4,0.6, the calculator returns Total weight: 1, Weighted average: 86. This example is checked against an independent source in the test suite.

What you can compare

Change one input at a time to see how it affects Weighted average, Total weight and Σ (value × weight). The inputs you can vary are Values, Weights and Maximum possible value (optional).

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

Preview

See something wrong? Report a problem with this calculator

Frequently asked questions

How do I calculate my weighted grade?

Computes the weighted arithmetic mean of a list of values and their weights, showing each item’s share of the total weight and its contribution to the result. Open “How this is worked out” beside the result to see each step for your own figures.

How to calculate weight in lbs?

It needs Values, Weights and Maximum possible value (optional). Nothing else is required, and the figures stay in your browser.

What is the correct weight for my height and age?

On the figures this page opens with, the weighted average is 85. No single number fits everyone: it follows Values, Weights and Maximum possible value (optional), so enter your own above and the answer updates as you type.

What information do I need for the weighting calculator?

You need Values, Weights and Maximum possible value (optional). The page opens with default figures that give weighted average of 85, so you can see the scale before entering your own.

What does this weighting calculator show?

It shows Weighted average, Total weight, Σ (value × weight), Unweighted (simple) average, Number of items, Percent of maximum, Largest contributor and Weight shares, with the working and any warnings for your entries.

Can I check how the weighting calculator result was calculated?

Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.

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