Weighted Average Calculator
Calculate a weighted mean from values and weights.
Enter values and positive weights to calculate the weight total, weighted sum, and weighted average. Weights may be proportions, percentages, or credits as long as units are consistent.
Tool area
Who should use Weighted Average Calculator
Useful for grade weighting, rubrics, exam components, and any dataset where each value carries a different importance.
This page is designed for quick checking and preparation, not for replacing official rules, institutional requirements, or professional software. When using Weighted Average Calculator, test a small sample first so units, weights, page ranges, and output settings match your real task before processing the full dataset or document.
Method, interpretation, and limits
Weighted mean equals the sum of value times weight divided by total weight. Weights do not have to total 100, but the rule should be intentional.
Read the result together with the source data, sample size, page range, output format, or workflow rule. For applications, exams, reports, submissions, or public documents, treat the output as a draft check and verify it against the original source and official instructions.
- Do not mix 30 and 0.4 style weights in one table.
- Missing items change total weight.
- Minimum thresholds require separate checks.
Practical examples
These examples illustrate workflow ideas only. They are not official policy for any school, agency, exam board, or platform.
- Calculate a term grade from 30% coursework, 30% midterm, and 40% final.
- Combine written, demo, and interview teacher-exam scores.
- Score a project rubric with content, presentation, and teamwork weights.
Related workflow
For grade workflows, pair this with Grade Average, Teacher Exam Score, and Standard Deviation tools.
Formula and calculation
x̄w = Σ(wᵢxᵢ) / Σwᵢ
xᵢ is each value and wᵢ is its positive weight. Weights need not total 1 or 100, but units must be consistent.
Educational applications
Use weighted means when assessment components have different importance. Define weights from an explicit grading policy and do not silently treat missing work as zero.
APA / research reporting tip
Example: “The final score was weighted as assignments 30%, midterm 30%, and final exam 40%, yielding a weighted mean of 84.6.”
How to use
- Enter one value and its weight per row.
- Add or remove rows as needed.
- Calculate the weight total and weighted mean.
Use cases
- Combine assignments, midterms, and finals.
- Calculate a credit-weighted course average.
- Combine ratings or indicators with different importance.
Real examples
Example 1
Calculate a term grade from 30% coursework, 30% midterm, and 40% final.
Example 2
Combine written, demo, and interview teacher-exam scores.
Example 3
Score a project rubric with content, presentation, and teamwork weights.
Good to know
- Do not mix 30 and 0.4 style weights in one table.
- Missing items change total weight.
- Minimum thresholds require separate checks.
FAQ
- Is Weighted Average Calculator free to use?
- Yes. You can use the tool directly in the browser with no registration.
- Is my data uploaded?
- No. This tool runs locally in your browser and does not actively upload inputs or files to FreeTools servers.
- Can I treat the result as official?
- No. Use it as a calculation, cleanup, or checking aid and confirm formal requirements with official sources.
- What should I check when the result looks wrong?
- Review units, weights, page ranges, sample size, source format, whitespace, and output settings, then test again with a small known example.
- Which related tools should I use next?
- For grade workflows, pair this with Grade Average, Teacher Exam Score, and Standard Deviation tools.
Privacy & local processing
🔒 This tool runs entirely in your browser. No data is uploaded to any server.
All input and calculations stay in your browser and are not uploaded to FreeTools.
Trust & usage note
This tool runs mainly in your browser. Your input is not actively uploaded to a server. Avoid entering highly sensitive data. Results are for reference only.
Disclaimer
This tool is for teaching and preliminary estimates. It does not replace formal statistical software or professional judgment. Verify the data, research design, and assumptions before reporting results.
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