Question : The average marks of 17 students in an examination was calculated as 71. However, it was later found that one student's mark had been wrongly entered as 65 instead of 56 and another as 24 instead of 50. The correct average is:
Option 1: 70
Option 2: 71
Option 3: 72
Option 4: 73
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Correct Answer: 72
Solution :
The total sum of marks was initially = 71 × 17 = 1207
The wrongly entered marks are 65 and 24, so subtract these from the total = 1207 – 65 – 24 = 1118
The correct marks are 56 and 50, so add these to the total = 1118 + 56 + 50 = 1224
Correct average = $\frac{\text{Total correct sum}}{{\text{Number of students}}}=\frac{1224}{17} = 72$
Hence, the correct answer is 72.
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