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Weighted Average Formula:
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The Total Grade Percentage Calculator computes the weighted average of grades based on their respective weights. It's commonly used in educational settings to determine overall course grades where different assignments/exams carry different weights.
The calculator uses the weighted average formula:
Where:
Explanation: Each grade is multiplied by its weight, these products are summed, and then divided by the total of all weights to get the final weighted average.
Details: Weighted averages provide a more accurate representation of overall performance when different components contribute unequally to the final grade. This is essential for fair assessment in courses with varied assignment types.
Tips: Enter grades and weights as comma-separated values. Ensure both lists have the same number of items. All values should be positive numbers representing percentages.
Q1: What if my weights don't add up to 100%?
A: The calculator automatically normalizes the weights, so they don't need to sum to 100%. The result will be the correct weighted average regardless.
Q2: Can I use decimal values for grades and weights?
A: Yes, the calculator accepts decimal values for both grades and weights for precise calculations.
Q3: What's the difference between weighted and unweighted average?
A: Weighted average considers the importance of each grade, while unweighted average treats all grades equally regardless of their significance.
Q4: How many grade/weight pairs can I calculate?
A: There's no strict limit, but practical limitations depend on your browser and system resources. Typically, dozens or even hundreds of pairs can be processed.
Q5: What if I have zero-weight assignments?
A: Assignments with zero weight won't contribute to the final grade calculation and can be included or excluded without affecting the result.