Weighted Average Calculator
Calculate weighted grade averages for assignments and exams.
Quadratic Equation Solver (ax² + bx + c = 0)
About Weighted Average Calculator
The Weighted Arithmetic Mean ($\bar{x} = \frac{\sum w_i x_i}{\sum w_i}$) Calculator computes weighted averages for course grades, financial portfolio returns, scientific experimental datasets, statistical surveys, and product evaluation scorecards.
How to Use Weighted Average Calculator
Step 1
Enter data values and their corresponding weights (comma-separated or in table rows).
Step 2
Review computed weighted mean, total weight sum, and individual percentage contributions.
Step 3
Click "Copy Weighted Average".
Practical Use Cases for Weighted Average Calculator
Investment Portfolio Weighted Asset Return & Expense Ratio
Calculate overall portfolio annual return and weighted expense ratio based on portfolio dollar allocation weights.
Academic Weighted Course Syllabus Grade Synthesis
Synthesize overall course grade percentage from varied syllabus weights (Homework 20%, Midterms 40%, Finals 30%, Labs 10%).
Input & Output Examples
Calculating Portfolio Return (Stock A: 12% @ $60k, Stock B: 4% @ $40k)
Asset A: Value `60,000`, Return `12.0%` | Asset B: Value `40,000`, Return `4.0%`
Weighted Average Return: `8.80%` | Total Portfolio: `$100,000` | Normalized Weights: `60% / 40%`
Key Features & Performance
- ✓Handles any weight format: percentage weights (summing to 100%), raw point weights, dollar amounts, or credit counts.
- ✓Automatic Weight Normalization: scales arbitrary raw weights ($w_i$) to 100% total weight automatically.
- ✓Statistical Metrics: computes Weighted Mean, Standard Deviation, Variance, and Component Contribution Breakdown.
- ✓100% Client-Side memory execution.
- ✓1-Click Copy weighted average specs.
Key Terminology & Definitions
Weighted Mean ($\bar{x}$)
An average where each data value is multiplied by a weight factor reflecting its relative importance before summing and dividing by the total weight ($x = \sum w x / \sum w$).
Normalized Weights
Weights converted to proportions of a whole such that the sum of all weights equals exactly $1.0$ (or $100\%$).