Multiple choice

There are 4 students in a class, the average score of 4 students increases by 2 marks when a new pupil replaces an old student who has scored 60 marks. Find the score of the new student.

  1. 68

  2. 64

  3. 62

  4. 60

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

Total marks increase = 4 students * 2 marks = 8 marks. New student score = Old student score + Increase = 60 + 8 = 68.

AI explanation

When a replacement causes the group average to rise, the new score must exceed the old score by the average increase multiplied by the group size. Here, the total increase across all 4 students is 2 marks times 4, which equals 8 marks. Therefore, the new pupil must have scored 8 marks more than the replaced pupil's score of 60. Adding 8 to 60 gives the new pupil's score of 68.