Multiple choice

The average of marks scored by 60 students in a class was 32.5. Marks of one student were now altered from 88 to 78 and those of another from 13 to 43. What was the new average?

  1. 30.14

  2. 31.54

  3. 32.83

  4. 34.14

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Original sum = 60 * 32.5 = 1950. Change = (-88 + 78) + (-13 + 43) = -10 + 30 = +20. New sum = 1950 + 20 = 1970. New average = 1970 / 60 = 32.833.

AI explanation

The original total marks of the class is 60 times 32.5, which equals 1950. The net change in marks is a decrease of 10 from the first student (88 to 78) and an increase of 30 for the second student (13 to 43), making a total net increase of 20. The new sum is 1950 plus 20, which equals 1970, and the new average is 1970 divided by 60, resulting in approximately 32.83.