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CalcWolf Math Weighted Average Calculator
Math

Weighted Average Calculator

Calculate weighted average from values and weights. GPA, portfolio returns, grades. Free calculator.

📅 Updated April 2026 Formula verified 📖 4 min read 🆓 Free · No sign-up

When to Use Weighted Average

Use weighted average when data points have different importance. GPA: A grade in a 4-credit course matters more than a 2-credit course. Portfolio returns: A stock that is 40% of your portfolio matters more than one that is 5%. Survey results: Responses from a larger sample should weigh more. Simple averages treat everything equally — weighted averages reflect reality.

Formula and Example

Weighted average = sum(value x weight) / sum(weights). Three test scores: 85 (weight 3), 92 (weight 4), 78 (weight 2). Calculation: (85x3 + 92x4 + 78x2) / (3+4+2) = (255 + 368 + 156) / 9 = 86.6. The simple average (85+92+78)/3 = 85.0 is different because it ignores the weights.

⚡ CalcWolf Insight

Your GPA, the S&P 500, and your credit score are all weighted averages. The S&P 500 is weighted by market cap. Your credit score weights payment history at 35%, utilization at 30%, length at 15%.

Frequently asked questions
What is the difference between average and weighted average?
Simple average treats all values equally. Weighted average gives more importance to values with higher weights. Example: if your final exam is worth 40% and homework is 10%, a weighted average correctly reflects the exam importance. A simple average would not.
How do I calculate my GPA?
GPA is a weighted average: multiply each grade value by credit hours, sum all quality points, divide by total credits. An A (4.0) in a 4-credit course contributes more than an A in a 1-credit course.
✓ Math logic verified against primary sources → See our verification process
Kevin Glover
Founder, CalcWolf · GLVTS · Blickr
All formulas sourced from primary references — IRS publications, peer-reviewed research, and official standards. Results are tested against independent reference calculators before publishing. Rates and brackets updated when official sources change. Editorial policy →

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