# Overall Grade Calculator

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### Historical Background

Grades have long been used in educational systems to quantify academic performance. The concept of an overall grade evolved to reflect a student's achievement by considering individual assessments and their respective weight in the final evaluation.

### Formula

The overall grade is calculated with the following formula:

\[

G = \frac{\sum (C_i \times W_i)}{\sum W_i}

\]

where:

- \( G \) is the overall grade (%),
- \( C_i \) is the individual grade (%),
- \( W_i \) is the weight of each grade,
- \( \sum W_i \) is the sum of all grade weights.

### Example Calculation

Assume you have the following grades and their weights:

- Grade 1: 80% with a weight of 0.3
- Grade 2: 90% with a weight of 0.5
- Grade 3: 70% with a weight of 0.2

The overall grade is calculated as:

\[

G = \frac{(80 \times 0.3) + (90 \times 0.5) + (70 \times 0.2)}{0.3 + 0.5 + 0.2}

\approx \frac{24 + 45 + 14}{1}

= 83

\]

Thus, the overall grade is 83%.

### Common FAQs

**What is an overall grade?**

An overall grade is the final grade for a course or subject after factoring in the weights of individual assessments.

**How can one grade affect the overall grade more than another?**

Certain grades may have higher weights than others, meaning they contribute more to the final grade.

**How is the overall grade used?**

The overall grade is used to reflect a student's performance and is often considered in evaluating academic progress, scholarships, and educational outcomes.