Free Weighted Mean Calculator
Calculate a weighted average where each value contributes according to its assigned weight.
Weighted Mean
85.6667
Total Weight9.00
Weighted Mean vs Value 1
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.
Example Calculation
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
Frequently Asked Questions
Learn More
Understanding the Normal Distribution
Learn what the normal distribution is, why it matters in statistics, and how to use the bell curve for probability calculations, z-scores, and real-world data analysis.