What this result means
Calculate a weighted average from matching value and weight lists with an auditable weighted sum.
Average Calculator
Average
Enter your values, then calculate to see a verified result.
Reference range
How this result is calculated
A clear calculation path based on your inputs.
Inputs usedReview the information used for this result.
Full calculation and sourcesWeighted average = sum(value x weight) / sum(weights).
Versioned calculationFormula v1.0.0
Method used
Weighted average = sum(value x weight) / sum(weights).
Important limitation
The result is only as reliable as the inputs and stated method.
Enter the inputsUse values with the units and definitions shown beside each field.
Apply the methodWeighted average = sum(value x weight) / sum(weights).
Inspect the bridgeReview the primary result and supporting outputs before using it.
Check limitationsConfirm the assumptions, date, jurisdiction or population match your use case.
Interpretation
80 weighted 40 and 90 weighted 60 gives 86.
Weighted average = sum(value x weight) / sum(weights).
The result is only as reliable as the inputs and stated method.
Use this result
Continue with your result
Compare, save, or take the next step
Did we solve your problem?Your feedback helps us improve this calculator.
Thanks. Your feedback has been recorded.
Keep exploring
Check out 2 similar statistics calculators & resources
Public verification recordFormula v1.0.0
- Review scope
- Average Calculator Formula, Input Validation, Edge Behavior And Result Presentation.
- Review team
- CalculatorGeek Expert Review Team
- Verified
- 2026-09-21
- Next source review
- 2027-09-21
- Automated fixtures
- 1 cases
Review method
Package reconciliation, primary-source mapping, competitor feature comparison, deterministic fixtures, PHP/JavaScript parity and responsive preview QA.
Known limitations
- The result is only as reliable as the inputs and stated method.
- Changing legal, medical, exam or statistical conventions must be checked at the source.
Primary sources
Latest update
2026-09-21 ยท
On this page
Direct answer
Calculate a weighted average from matching value and weight lists with an auditable weighted sum.
Continue with the Arithmetic Mean Calculator when that method matches your next question.
Continue with the Descriptive Statistics Calculator when that method matches your next question.
Formula and methodology
Weighted average = sum(value x weight) / sum(weights).
80 weighted 40 and 90 weighted 60 gives 86.
Worked example
80 weighted 40 and 90 weighted 60 gives 86.
The calculator retains working precision and rounds only the displayed values.
Interpret the result carefully
Method boundary: The result is only as reliable as the inputs and stated method.
Inputs, boundary behavior and JavaScript/PHP parity are covered by deterministic release tests.
Use the result for the named task only. Do not stretch it into a legal, clinical, safety or causal conclusion the formula does not support.
Inputs, outputs and result meaning
Calculates weighted average, weighted sum, total weight, and pairs from values and weights with visible method, validation, precision, and limitations.
Inputs
- Values
- Enter values in matching order.
- Weights
- Enter nonnegative weights in matching order.
Outputs
- Weighted average
- This is the primary result. The visible value uses up to 4 decimal places according to the output rule.
- Weighted sum
- The visible value uses up to 4 decimal places according to the output rule.
- Total weight
- The visible value uses up to 4 decimal places according to the output rule.
- Pairs
- The visible value is displayed without decimal places.
The calculator applies the documented method after validating and normalizing the inputs. Keep the result label, unit, selected mode, and stated limitations together when sharing the answer.
Frequently asked questions
What method does this calculator use?
Weighted average = sum(value x weight) / sum(weights).
How should I round the result?
Keep full precision during the calculation and round only the final display unless a governing standard says otherwise.
What is the main limitation?
The result is only as reliable as the inputs and stated method.
Can I reproduce the answer?
Yes. The formula, inputs, supporting outputs and worked example are displayed on the page.
Sources
Source research refreshed September 21, 2026. No rankings, review credentials or official affiliation are implied.
What the Average Calculator answers
The Average Calculator calculates weighted average, Weighted sum, Total weight, and Pairs from values and Weights. Read the primary answer together with its unit, supporting outputs, and interpretation rather than treating the number as context-free.
Method, assumptions and precision
The documented Average method normalizes the inputs before calculating the displayed outputs.
The engine retains working precision through the calculation and rounds only the visible result according to the output definition. Unsupported values or denominators should produce a validation message rather than an infinite or undefined display.
Reference example
Primary worked example: Values: 80, 90; Weights: 40, 60. The expected result is Weighted average: 86; Total weight: 100; Pairs: 2.
Interpretation checks
- The result is only as reliable as the inputs and stated method.
- Changing legal, medical, exam or statistical conventions must be checked at the source.
- Keep the displayed unit and input convention with the result.
- Use an unrounded value when the result feeds another calculation.