Mathematics CalcyZone Calculator
Weighted Average Calculator
Calculate the weighted mean of data values with varying relative weights or importance.
Calculation Solution
Weighted Mean = 74.2857
Sum of Weights: 210, Weighted Sum: 15600.0000
Mathematical Formula
Weighted Mean = Sum(Value * Weight) / Sum(Weights)
Overview & Explanation
A weighted average assigns different levels of importance or weight to individual numbers in a dataset.
How It Works
- Multiply each value by its corresponding weight.
- Sum all weighted products.
- Divide by the total sum of all weights.
Practical Applications
- Calculating GPA based on course credit hours.
- Calculating course grades with weighted exams and assignments.
Worked Example: (80 with weight 40%) and (90 with weight 60%)
Find weighted average.
1
Sum Weighted Values
(80 * 40) + (90 * 60)
= 3200 + 5400 = 8600
2
Divide by Total Weight (100)
8600 / 100
= 86
Frequently Asked Questions
When is a weighted average used?
It is used when certain values contribute more significantly to the final outcome than others.
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