The Weighted Average Calculator provided by Hesapstan multiplies each value by its weight, adds the weighted products, divides by the total weight, and shows the full row-by-row breakdown.
A weighted average gives each value its own influence
In a simple average, every value has the same influence. In a weighted average, a row with a larger weight affects the result more. For example, if 80, 90, and 70 have weights 2, 3, and 1, the value 90 counts more strongly than 70.
Giriş / Input: Values: 80, 90, 70 — Weights: 2, 3, 1 — Sonuç / Output: (80×2 + 90×3 + 70×1) / (2+3+1) = 500/6 = 83.33 — The calculator shows the value×weight product for each row, the sum of weights, and the weighted average.
The formula divides the sum of weighted products by the sum of weights
The weighted average formula is WA = Σ(value × weight) / Σ(weight). The numerator adds the weighted product from each row. The denominator adds all weights.
A single row may have weight 0, which means it does not affect the result. But if all weights add up to 0, the formula would divide by zero, so the calculator shows an error.
Numeric weight and percentage weight are two input modes
Use numeric weight mode for credits, frequencies, quantities, or coefficients. Use percentage weight mode when each row has a percentage share. Both modes use the same weighted-average idea: each value contributes according to its weight.
Giriş / Input: 85 has 60% weight and 75 has 40% weight — Sonuç / Output: 85×0.60 + 75×0.40 = 81 — When percentages add up to 100, the result is easy to read as a percentage-weighted average.
If percentages do not add up to 100, the calculator still computes and shows a warning
In percentage mode, the calculator warns you if the entered weights do not add up to 100. It still applies the formula to the values you entered, so the result may be mathematically valid but may not match the percentage plan you intended.
The calculator does not apply school-specific grade scales, transcript rules, or official credit policies. It only applies the weighted-average formula to your rows.
Values may be negative, but weights cannot be negative
The value field accepts positive numbers, negative numbers, and zero. This is useful for scores, differences, deviations, or losses. The weight field must be non-negative because a weight represents contribution or share.
This page calculates a mathematical weighted average. It does not calculate official portfolio returns, GPA, CGPA, or institutional transcript results unless your own inputs already represent the correct rules.
Frequently Asked Questions
What is a weighted average?
A weighted average is an average where each value contributes according to its weight. It is calculated as the sum of value×weight products divided by the sum of weights.
How is a weighted average different from a simple average?
A simple average treats all values equally. A weighted average lets some values count more than others.
When should I use percentage weight mode?
Use percentage mode when the importance of each row is given as a percentage, such as 60% and 40%.
What happens if my percentages do not add up to 100?
The calculator shows a warning but still computes the result using the entered weights. You should check whether the percentages were entered as intended.
Can values be negative?
Yes. Values may be positive, negative, or zero.
Can weights be zero?
Yes. A zero-weight row contributes nothing to the weighted product. But the total sum of weights cannot be zero.
Can weights be negative?
No. Negative weights are rejected by the calculator.
How many rows can I add?
The calculator requires at least 2 complete rows and supports up to 20 rows.
Can I use this for GPA?
Only if you manually enter values and weights that match your institution's rules. This calculator is not a predefined GPA or transcript calculator.