Calculate the weighted average of values with different weights or importance levels. GPA, portfolio returns, and more. Free online weighted mean calculator.
The Weighted Average Calculator computes the weighted mean when different values carry different levels of importance (weights). Unlike a simple average where every value counts equally, the weighted average multiplies each value by its weight before summing.
Weighted averages appear everywhere: GPA (credit hours as weights), portfolio returns (investment amounts as weights), survey scores (response frequencies as weights), and grading systems (assignment categories with different weights).
Enter value-weight pairs and get the weighted average instantly. The tool also shows the total weight, weighted sum, and each value's contribution to the final result.
Tracking this metric consistently enables professionals to identify patterns in how they allocate time and effort, revealing opportunities to work more effectively and accomplish more each day. This measurement provides a critical foundation for goal setting and progress tracking, helping you align daily activities with longer-term objectives and meaningful milestones.
Tracking this metric consistently enables professionals to identify patterns in how they allocate time and effort, revealing opportunities to work more effectively and accomplish more each day.
Simple averages can be misleading when items have different importance. This calculator properly weights each value and shows how much each contributes to the result. This quantitative approach replaces vague time estimates with concrete data, enabling professionals to plan realistic schedules and avoid the pattern of chronic overcommitment. Precise quantification supports meaningful goal-setting and accountability, ensuring that improvement efforts are focused on areas with the greatest potential impact on output.
Weighted Average = Σ(wᵢ × xᵢ) / Σwᵢ Where: - xᵢ = value i - wᵢ = weight of value i
Result: 85.22
Weighted sum = (85×3)+(90×4)+(78×2) = 255+360+156 = 771. Total weight = 9. Weighted average = 771/9 = 85.67 (rounded).
A student with an A in a 4-credit course and a B in a 1-credit course has a GPA closer to 4.0 than 3.5, because the heavier course dominates the calculation.
In finance, the time-weighted average return removes the effect of cash flows, measuring pure investment performance.
The weighted average is sensitive to extreme values. The weighted median, like the ordinary median, is more robust to outliers.
Professionals in data science, engineering, and finance apply these calculations daily to model complex systems and test analytical hypotheses.
A weighted average multiplies each value by its importance (weight) before averaging. Values with higher weights influence the result more than those with lower weights.
Each course grade (on a 4.0 scale) is weighted by its credit hours. A 4-credit A (4.0) counts twice as much as a 2-credit A. GPA = total quality points / total credits.
No. The formula divides by the sum of weights, so any scale works. Using percentages, frequency counts, or arbitrary numbers all produce the same result when normalized.
Use weighted average when items have different importance, sizes, or frequencies. Use simple average when all items are equally important.
Yes, a weight of zero means that value is excluded from the average. It will have no effect on the result.
Portfolio return is the weighted average of individual returns, where each weight is the proportion of total investment in that asset. It accurately reflects overall performance.