Numbers, Units & Calculators
Weighted Average Calculator
Calculate a weighted average from paired values and weights. Check the total weight and number of pairs in your browser.
A weighted average multiplies each value by its weight, adds those contributions, and divides by the total weight. It gives greater influence to values with larger weights. Every value needs a corresponding nonnegative weight.
The result shows the weighted average, number of value-weight pairs, and total weight.
- Combine scores when their weights are already known.
- Calculate an average unit value from quantities and prices.
- Check a weighted calculation against an equal-weight mean.
Instructions
- Enter your values in their intended order.
- Enter one weight for each value in the same order.
- Select Calculate and inspect the weighted average, count, and total weight.
Example
Input: Values: 80, 90, 100. Weights: 20, 30, 50.
Settings: Match each weight to the value in the same position.
Result: Weighted average 93; total weight 100; count 3.
The contributions are 1600, 2700, and 5000. Their sum 9300 divided by 100 equals 93.
Limits
- Enter up to 1000 values separated by commas, spaces, line breaks, or semicolons. Use a dot for decimal fractions.
- Each nonzero input must have absolute value from 1e-100 through 1e100. Commas separate values, not thousands: 1,000 means two values. Fraction expressions and percentages are not accepted.
- Calculations use floating-point numbers. Results can include rounding; closely spaced large integers can become indistinguishable during parsing.
- Negative weights are not supported. At least one weight must exceed zero.
- This tool does not determine official exam weights, GPA mappings, or grading rules.