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Weighted Average Calculator

Calculate the weighted average of values with different weights.

Statistics
e.g. exam scores or returns.
Weights corresponding to each value. Must match count of values.
Formula
Weighted Avg = Σ(wᵢ × xᵢ) / Σwᵢ
Each value is multiplied by its weight. Divide the sum of weighted values by the sum of weights.

Result

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Calculation Breakdown

STEP-BY-STEP DETAILS

ParameterValue
Result—

About Weighted Average Calculator

A weighted average assigns different levels of importance (weights) to different values. It is used in GPA calculation, portfolio returns, and any scenario where some data points matter more than others.


ℹ️ About Weighted Average Calculator

Calculate the weighted mean where each value contributes differently based on its weight. Used in GPA and grade calculations.

📋 How to Use

  1. Enter the required values in the input fields.
  2. Select the operation type if multiple options are available.
  3. Click Calculate.
  4. View the result and step-by-step breakdown.

🔢 Formula / Calculation Method

Weighted Avg = Σ(Value × Weight) ÷ Σ(Weights)

Grade A(90) weight 3 + Grade B(80) weight 2 = (270+160)÷5 = 86

👥 Who Uses It

  • Students solving math homework
  • Teachers creating lesson examples
  • Engineers and scientists
  • Finance professionals
  • Programmers and developers

📌 Practical Examples

Example 1
Grade A(90) weight 3 + Grade B(80) weight 2 = (270+160)÷5 = 86
Verification
Use the formula shown to manually verify the result.
Real World
Apply the result to your specific problem.
Study Aid
Practice with different input values to learn.

⭐ Benefits

🎯
Accurate
Mathematically precise results
⚡
Instant
No waiting for calculations
📋
Formula
Understand the math behind it
📱
Mobile
Works on any device
🆓
Free
No cost or registration
📊
Breakdown
Step-by-step where possible

💡 Tips

  • 💡Double-check your input values before calculating.
  • 💡Use the formula shown to understand how the result is derived.
  • 💡For decimals, use a period (.) as the decimal separator.
  • 💡Try different values to understand how the result changes.

❓ Frequently Asked Questions

Do the weights have to add up to 100%?
No. The calculator automatically sums the weights and divides by that total. You can use raw percentages (summing to 100), course credit hours (e.g. 3, 4, 1), or dollar amounts.
What happens if all weights are equal?
If all weights are equal, the weighted average is mathematically identical to the simple arithmetic average.
How do teachers use weighted averages for gradebooks?
Teachers assign percentage categories (e.g. Exams 50%, Homework 30%, Participation 20%) to ensure rigorous exams influence the final mark more than casual assignments.
Can weights be negative or decimal numbers?
Weights can be positive decimal numbers. While negative weights exist in complex financial hedging, practical educational and business weights must be non-negative.
What happens if I enter more values than weights?
Every value requires an accompanying weight. If counts do not match, the calculator notifies you to balance the inputs.
How accurate is the result?
Results use JavaScript's 64-bit floating point — accurate to 15+ significant digits for most calculations.
Can I enter decimal numbers?
Yes, decimals are fully supported.
Is it free?
Yes, completely free.
Does it show the formula?
Yes, the formula is displayed on the page.
Can I use it on mobile?
Yes, the calculator is fully responsive.
Does it save my inputs?
No data is stored — all calculations are done locally in your browser.
What if I get an error?
Check for invalid inputs such as division by zero or negative square roots.

🔗 Related Calculators

🚀 Features

⚡
Instant Results
Calculate in seconds, no waiting
🎯
High Accuracy
Precise results every time
📱
Mobile Friendly
Works on any device or screen size
🔒
Privacy First
No data stored or shared
🌍
Works Worldwide
Available 24/7 from anywhere
🆓
100% Free
Always free, no registration needed

⚠️ Common Mistakes to Avoid

  • ⚠️Entering values in the wrong fields.
  • ⚠️Using commas instead of periods as decimal separators.
  • ⚠️Dividing by zero — this is undefined.
  • ⚠️Not selecting the correct mode (degrees vs radians for trig).

📢 Disclaimer

Results are provided for informational purposes only and should be verified before making important financial, academic, or engineering decisions.

📚 Cite & Reference This Calculator

Verified Standard Calculation

Need to cite this calculator for academic papers, engineering notes, or school assignments? Use the reference below:

OnlineConvers. (2026). Weighted Average Calculator. Retrieved from https://www.onlineconvers.com/math/weighted-average-calculator