1. What is Weighted Grade Average?

The weighted grade average (WG) is a calculation that takes into account the varying importance (weights) of different components when calculating an overall average. This method is commonly used in education where different assignments or exams contribute differently to the final grade.

2. How Does the Calculator Work?

The calculator uses the weighted grade 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 sum of all weights.

3. Importance of Weighted Grades

Details: Weighted averages provide a more accurate representation of overall performance when different components have different levels of importance. This is crucial in academic settings where exams might count more than homework assignments.

4. Using the Calculator

Tips: Enter pairs of weights and grades. Weights can be any positive numbers (they don't need to sum to 100). Grades should be between 0-100. Click "Add Another Grade" to include more components.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between weighted and unweighted average?
A: Unweighted average treats all components equally, while weighted average accounts for their relative importance.

Q2: Do weights need to add up to 100?
A: No, the calculator normalizes the weights automatically. What matters is their relative proportion.

Q3: Can I use decimal weights and grades?
A: Yes, the calculator accepts decimal values for both weights and grades.

Q4: What if I enter a weight of zero?
A: Components with zero weight won't affect the calculation (as they contribute nothing to the sum).

Q5: How many grade-weight pairs can I enter?
A: You can add as many as needed - the calculator will handle them all.