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Gpa Calculation

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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**