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Grade and Weight Calculator

Grade Formula:

\[ \text{Grade} = \frac{\sum (\text{Grade} \times \text{Weight})}{\text{Total Weight}} \]

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1. What is a Grade and Weight Calculator?

Definition: This calculator computes the weighted average grade based on individual grades and their corresponding weights.

Purpose: It helps students, teachers, and professionals calculate final grades or weighted averages where different components have different importance.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Grade} = \frac{\sum (\text{Grade} \times \text{Weight})}{\text{Total Weight}} \]

Where:

Explanation: Each grade is multiplied by its weight, these products are summed, and then divided by the total weight to get the final grade.

3. Importance of Weighted Grade Calculation

Details: Weighted averages provide a more accurate representation of performance when different components have different levels of importance.

4. Using the Calculator

Tips: Enter comma-separated lists of grades (in percentage) and corresponding weights. The weights can be any unitless values representing relative importance.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for non-grade calculations?
A: Yes, this works for any weighted average calculation where you need to combine values with different weights.

Q2: 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 any specific value.

Q3: How many grade/weight pairs can I enter?
A: You can enter as many as needed, just make sure both lists have the same number of values.

Q4: What if I enter different numbers of grades and weights?
A: The calculator will only process pairs where both grade and weight exist.

Q5: Can I use decimal values?
A: Yes, both grades and weights can be decimal numbers for precise calculations.

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