Question
Download Solution PDFThe weightage of 5 tests in a class and the marks scored by Ritu in those tests are as follows. What is the weighted average of the percentages she obtained in the five tests?
| Score/Max | Weightage |
| 12/20 | 15% |
| 16/20 | 12% |
| 40/50 | 30% |
| 80/100 | 10% |
| 14/20 | 33% |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Test 1: Score = 12, Total = 20, Weightage = 15%
Test 2: Score = 16, Total = 20, Weightage = 12%
Test 3: Score = 40, Total = 50, Weightage = 30%
Test 4: Score = 80, Total = 100, Weightage = 10%
Test 5: Score = 14, Total = 20, Weightage = 33%
Concept used:
Weighted Average = Sum of (Score/Total × Weightage)
Calculation:
According to the concept,
(12/20 × 15% + 16/20 × 12% + 40/50 × 30% + 80/100 × 10% + 14/20 × 33%)
⇒ (0.09 + 0.096 + 0.24 + 0.08 + 0.231)
⇒ 0.737 or 73.7%
∴ The weighted average of the percentages she obtained in the five tests is 73.7%
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