Question : The average of the marks of 17 students in an examination was calculated as 71. However, it was later found that the mark of one student 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 : Given: Average of the marks of 17 students in an examination = 71 Wrong marks = 65 + 24 = 89 Correct marks = 56 + 50 = 106 Difference = 106 – 89 = 17 marks $\therefore$This difference affect the 17 students $= \frac{17}{17} = 1$ And incorrect average = 71 $\therefore$ Correct average = 71 + 1=72 Hence, the correct answer is 72.
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