Multiple choice

The average score of 60 students in a class is 32.5. What will be the new average if the score of one student is altered from 88 to 78 and the score of another is altered from 13 to 43?

  1. 32.17

  2. 33.96

  3. 32.83

  4. 33.17

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Sum = 60 * 32.5 = 1950. Change = -88 + 78 - 13 + 43 = 20. New sum = 1950 + 20 = 1970. New average = 1970 / 60 = 32.833.

AI explanation

Using the formula change in average = net change in sum / total count, first calculate the net change in the total scores. One score decreases by 10 (88 to 78) and another increases by 30 (13 to 43), resulting in a net increase of 20. Divide this net increase by the total number of students to find the change in the average: 20 / 60 = 0.33. Add this to the original average to get the new average: 32.5 + 0.33 = 32.83.

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