Weighted Mean Calculator
Calculate a weighted average where each value contributes according to its assigned weight.
Weighted Mean
85.6667
Weighted Mean vs Value 1
Formula
## How to Compute a Weighted Mean ### Formula **Weighted Mean = (v1*w1 + v2*w2 + ... + vn*wn) / (w1 + w2 + ... + wn)** Each value is multiplied by its weight before summing. The result is then divided by the sum of all weights. This is useful when some observations matter more than others, such as course grades with different credit hours.
Exemplo Resolvido
A student scores 85 (3 credits), 90 (4 credits), and 78 (2 credits). What is the weighted GPA?
- 01Weighted sum = 85*3 + 90*4 + 78*2 = 255 + 360 + 156 = 771
- 02Total weight = 3 + 4 + 2 = 9
- 03Weighted mean = 771 / 9 = 85.6667
Perguntas Frequentes
How does a weighted mean differ from a simple mean?
A simple mean treats every value equally. A weighted mean multiplies each value by an importance factor (weight) before averaging, so higher-weight observations influence the result more.
What happens if all weights are equal?
When every weight is the same, the weighted mean reduces to the ordinary arithmetic mean.
Can weights be fractions or decimals?
Yes. Weights can be any non-negative number, including fractions and decimals. Only the relative proportions of the weights matter.
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