How to Calculate Weighted Average
What is Weighted Average?
A weighted average assigns different importance to different values before averaging. Used when some observations should count more than others — such as course grades with different credit hours.
Step-by-Step Guide
- 1WA = Σ(wᵢ × xᵢ) / Σwᵢ
- 2Weights need not sum to 1
- 3Equal weights → ordinary arithmetic mean
Worked Examples
Input
Exam 60% weight (score 75) · Coursework 40% (score 85)
Result
WA = 0.6×75 + 0.4×85 = 79
Exam pulls grade down due to higher weight
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