Variable Definitions
| Variable Symbol | Mathematical Meaning |
|---|---|
| G_i | The percentage grade earned in category i |
| W_i | The percentage or decimal weight assigned to category i |
Calculation Steps
- Multiply each category score by its decimal weight.
- Sum all individual weighted products.
- Divide by the total sum of category weights (usually 1.0 or 100%).
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Authoritative References & Academic Standards
Vetted against official government, institutional, and collegiate guidelines
.org sourceOfficial Source
Arithmetic Mean and Weighted Averages Overview
Khan Academy Mathematics
Educational mathematical foundations for calculating arithmetic means, category weights, and statistical dispersion.
.org sourceOfficial Source
Weighted Arithmetic Mean Mathematics
Wikipedia (Mathematical Foundations)
Formal mathematical formulation of weighted linear averages and convex combinations in multi-factor scoring systems.
.org sourceOfficial Source
Assessment Standards for School Mathematics
National Council of Teachers of Mathematics (NCTM)
National research guidelines on rubric construction, formative grading, and equitable student achievement evaluation.