Multiple choice

The average marks of 50 students in a class were found to be 64. If the marks of 2 students were incorrectly entered as 38 and 32 instead of 83 and 24, respectively, then what is the correct average?

  1. 64.74

  2. 62.32

  3. 61.24

  4. 61.86
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A Correct answer
AI explanation

The correct sum of the two marks should be 83 plus 24, which is 107, while the incorrectly entered sum was 38 plus 32, equaling 70. The net increase in the total marks is 107 minus 70, which equals 37. The average increases by this difference divided by the total number of students, giving 37 divided by 50, which equals 0.74. Adding this 0.74 increase to the original average of 64 gives the correct average of 64.74.

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