Gpa Calculation
1. The given data includes marks out of various total marks:
- 60/100
- 32/50
- 48/50
- 70/100
- 68/100
- 74/100
2. GPA scale information:
- 85 out of 100 corresponds to GPA 4.00
- 44 out of 100 corresponds to GPA 0.00 (assuming 44 is minimum for 4.00 scaled GPA)
3. We need to convert each mark to a GPA between 0 and 4.00 using linear scaling:
$$ GPA = \frac{(score-44)}{(85-44)} \times 4 $$
4. Calculate each score's equivalent out of 100 (to align with the GPA scale):
- For 60/100, score is 60
- For 32/50, convert to 64/100
- For 48/50, convert to 96/100
- For 70/100, score is 70
- For 68/100, score is 68
- For 74/100, score is 74
5. Now calculate GPA for each score:
- For 60: $$ GPA=\frac{(60-44)}{41} \times 4=\frac{16}{41} \times 4=1.56 $$
- For 64: $$ GPA=\frac{(64-44)}{41} \times 4=\frac{20}{41} \times 4=1.95 $$
- For 96: This is above max scale (85), so GPA capped at 4.00
- For 70: $$ GPA=\frac{(70-44)}{41} \times 4=\frac{26}{41} \times 4=2.54 $$
- For 68: $$ GPA=\frac{(68-44)}{41} \times 4=\frac{24}{41} \times 4=2.34 $$
- For 74: $$ GPA=\frac{(74-44)}{41} \times 4=\frac{30}{41} \times 4=2.93 $$
6. Sum of GPAs = 1.56 + 1.95 + 4.00 + 2.54 + 2.34 + 2.93 = 15.32
7. Number of subjects = 6
8. Average GPA = $$ \frac{15.32}{6} = 2.55 $$
**Final Answer:** The calculated GPA is **2.55**