1. What is Weighted Average?

A weighted average (or weighted mean) is an average where different values have different weights or importance. It's calculated by multiplying each value by its weight, summing these products, and dividing by the sum of the weights.

2. How Does the Calculator Work?

The calculator uses the weighted average formula:

Where:

• \( WG \) — Weighted grade average
• \( w_i \) — Weight of the ith component
• \( g_i \) — Grade of the ith component

Explanation: Each grade is multiplied by its corresponding weight, these products are summed, and then divided by the total of all weights.

3. Importance of Weighted Average

Details: Weighted averages are crucial in academic grading systems where different assignments or exams carry different weights. They provide a more accurate representation of overall performance than simple averages.

4. Using the Calculator

Tips: Enter each grade with its corresponding weight. Click "Add Another Grade" to include more components. All weights must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between average and weighted average?
A: Regular average treats all values equally, while weighted average gives more importance to some values based on their weights.

Q2: Can weights be percentages?
A: Yes, weights can be in any unit as long as they're consistent. The calculator normalizes them automatically.

Q3: What if my total weights don't sum to 100%?
A: The calculator works with any weights - it will automatically adjust based on the relative weights you provide.

Q4: How many grades can I include?
A: You can add as many grade-weight pairs as needed using the "Add Another Grade" button.

Q5: Can I use this for non-academic calculations?
A: Absolutely! This calculator works for any weighted average calculation, whether for grades, financial analysis, or other weighted metrics.