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The average score of 40 students in a class test is 45. Later on, it was found that at two places 25 was read as 35 and at one
place 38 wasread as 32, What is the actual average score of the class?
43.80
39.69
45.35
44.65
- The average score of 40 students is initially calculated as 45.
- Total sum of scores: 40 students × 45 = 1800.
- Errors identified:
- Two scores of 25 were recorded as 35.
- Correcting these: Remove the excess 10 marks for each, so total decrease = 2 × 10 = 20.
- One score of 38 was read as 32.
- Correcting this: Add back 6 points.
- Net correction in scores: Total decrease is 20 - 6 = 14.
- Corrected total sum: 1800 - 14 = 1786.
- Corrected average: 1786 ÷ 40 = 44.65.
- Option 4: 44.65 is correct.
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