Weighted Average Calculator
Calculate weighted averages from values and matching weights, with normalized weight shares, contribution rows, and target comparison.
Last Updated: May 2026
Weighted mean
Average values with different weights
Enter matching values and weights. The calculator multiplies each value by its weight, adds those products, and divides by the total weight.
Optional comparison target, such as a target grade or benchmark.
Examples
Weighted average formulas
| Metric | Formula | Result |
|---|---|---|
| Weighted sum | sum(value x weight) | 9,015 |
| Weight total | sum(weights) | 100 |
| Weighted average | 9,015 / 100 | 90.15 |
| Simple average | sum(values) / count | 89.75 |
| Range | maximum - minimum | 11 |
| Target comparison | weighted average - target | +0.15 |
Contribution table
| Item | Value | Weight | Weight share | Value x weight | Contribution |
|---|---|---|---|---|---|
| 1 | 92 | 30 | 30% | 2,760 | 27.6 |
| 2 | 88 | 25 | 25% | 2,200 | 22 |
| 3 | 95 | 25 | 25% | 2,375 | 23.75 |
| 4 | 84 | 20 | 20% | 1,680 | 16.8 |
Weighted Average Notice
This calculator assumes nonnegative weights. Confirm your grading, finance, or statistics context before treating the result as final.
Checked by Jitendra Kumar
Weighted Average Calculator is checked for formula labels, source links, and result limits.
Jitendra Kumar, Founder & Editorial Standards Lead. Updated May 2026. Scope: math calculators.
How to Use the Weighted Average Calculator
Enter one value list and one matching weight list. You can separate values with commas, spaces, semicolons, or line breaks.
Review the weighted average, weighted sum, total weight, normalized weight shares, and each value's contribution to the final result.
Step 1: Enter values
Add grades, scores, prices, returns, ratings, or other numeric values.
Step 2: Enter matching weights
Use percentages, points, frequencies, quantities, or shares. The number of weights must match the number of values.
Step 3: Check the weighted average
The calculator divides the weighted sum by the total weight.
Step 4: Review contributions
Use the table to see weight shares and each item contribution.
How This Weighted Average Calculator Works
The calculator pairs each value with its weight, multiplies value by weight, then adds those products to create the weighted sum.
It divides the weighted sum by the total weight. Because weights are normalized by the total, they do not need to add to 1 or 100.
The contribution table also shows each normalized weight share and each value's direct contribution to the final weighted average.
Weighted Average Guide
Weighted Average Rules
| Concept | Formula | Meaning |
|---|---|---|
| Weighted sum | sum(value x weight) | Multiply each value by its matching weight and add. |
| Weight total | sum(weights) | Total importance, frequency, or share represented by the weights. |
| Weighted average | sum(value x weight) / sum(weights) | Average after accounting for different importance. |
| Normalized weight | weight / total weight | Each weight expressed as a share of the total. |
| Equal weights | all weights same | Weighted average equals the arithmetic mean. |
Examples
| Use case | Inputs | Weighted average |
|---|---|---|
| Course grade | 92, 88, 95, 84 with weights 30, 25, 25, 20 | 90.15 |
| Survey frequency | 1, 2, 3, 4, 5 with weights 8, 14, 32, 27, 19 | 3.35 |
| Portfolio return | 7.5, 4.2, 11.8, -2.1 with weights 40, 25, 20, 15 | 6.095 |
| Unit prices | 24.99, 49.50, 12.75 with quantities 12, 8, 15 | 25.372571 |
When to Use a Weighted Average
Use a weighted average when values do not all count equally. Common examples include course grades with category weights, survey scores with response frequencies, portfolio returns by allocation, and prices weighted by quantity.
Keep the research moving with Mean Calculator, Sum of Products Calculator, Average Calculator, and Statistics Calculator.
Frequently Asked Questions
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- 1.OpenStax Introductory Statistics - Measures of the Center of the Data(Accessed May 2026)
- 2.Khan Academy - Weighted average(Accessed May 2026)
- 3.Wikipedia - Weighted arithmetic mean(Accessed May 2026)