Multiple choice

A tabulator while calculating the average marks of 100 students of an examination, by mistake enters a student’s marks as 84, instead of 48 and obtained the average as 50; the actual average is-

  1. 49.64

  2. 56.36

  3. 57.64

  4. 53.36
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A Correct answer
Explanation

The incorrect average was calculated with one student's marks as 84 instead of 48, a difference of 36 marks. This excess is distributed among 100 students, so the calculated average exceeds the actual average by 36/100 = 0.36. Therefore, the actual average is 50 - 0.36 = 49.64.

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