Multiple choice

Seven students have obtained the following marks: 21, 27, 29, 26, 32, 19, and 27. Each student is then awarded 4 grace marks. What is the average of the revised marks for all the students?

  1. 27.85

  2. 29.86

  3. 30.55

  4. 31.55
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B Correct answer
Explanation

Original sum = 21+27+29+26+32+19+27 = 181. Original average = 181/7 = 25.857. Adding 4 to each mark increases the average by 4. New average = 25.857 + 4 = 29.857, which rounds to 29.86.

AI explanation

The original sum of the marks is 21 plus 27 plus 29 plus 26 plus 32 plus 19 plus 27, which equals 181. Since each of the 7 students receives 4 additional grace marks, the total increase is 28, making the new sum 209. Dividing this revised total by 7 gives an average of 29.86.

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