SGPA Calculation from Given Grade-point & Credit

The Semester Grade Point Average (SGPA) is calculated using the following formula:

$$\text{SGPA} = \frac{\sum (\text{Grade Points} \times \text{CreditValues})}{\sum \text{CreditValues}}$$

SGPA Calculation

Grade Points [\(G\)] Credit Hours [\(V\)]
7 6
9 6
10 6
6 6
10 2

🧮 SGPA Calculation Steps

  1. Calculate the total grade points for each entry:
    • 7 × 6 = 42
    • 9 × 6 = 54
    • 10 × 6 = 60
    • 6 × 6 = 36
    • 10 × 2 = 20
  2. Sum the total weighted grade points:
    • \(\sum (G \times V)\) = 42 + 54 + 60 + 36 + 20 = 212
  3. Sum the total credit hours:
    • \(\sum G \) = 6 + 6 + 6 + 6 + 2 = 26
  4. Calculate SGPA:
    • \( \dfrac{Total_{G \times V}}{Total_{Credit}} = \dfrac{212}{26} = 8.15 \)

Thus, the SGPA would be approximately 8.15.

CGPA Calculation from Given SGPA

To calculate the Cumulative Grade Point Average (CGPA) from the provided SGPA values and their corresponding credit hours, we can use the formula:

$$\text{CGPA} = \frac{\sum (\text{SGPA}_i \times \text{CreditValues}_i)}{\sum \text{CreditValues}_i}$$

CGPA Calculation

SGPA ( \(sem_i\) ) Credit value
8.15 26
8.85 26

🧮 Calculation Steps

  1. Calculate the weighted SGPA for each semester:
    • Semester 1: \( 8.15 \times 26 = 211.90 \)
    • Semester 2: \( 8.85 \times 26 = 230.10 \)
  2. Sum the weighted SGPA:
    • Total Weighted SGPA = \( 211.90 + 230.10 = 442.00 \)
  3. Sum the total credit hours:
    • Total Credit Hours (Credit values) = \( 26 + 26 = 52 \)
  4. Calculate CGPA: $$\text{CGPA} = \frac{442.00}{52} \approx 8.50$$

Thus, the CGPA would be approximately 8.50.

Percentage Calculation

To convert (CGPA) or (SGPA) to a percentage, you can use the following formula: $$ \text{Percentage} = \text{SGPA}\times 10 - 0.5 $$