Multiple choice

The given table shows the marks scored (out of 10) by some students in maths test. Marks Frequency 4 5 5 4 6 8 7 4 8 10 9 12 10 5 Total 48 Find the average marks rounded to one decimal place.

  1. 7.1

  2. 7.2

  3. 7.4

  4. 7.5
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C Correct answer
Explanation

Sum = (4*5) + (5*4) + (6*8) + (7*4) + (8*10) + (9*12) + (10*5) = 20 + 20 + 48 + 28 + 80 + 108 + 50 = 354. Total frequency = 48. Average = 354 / 48 = 7.375, which rounds to 7.4.

AI explanation

To find the average, calculate the mean by dividing the sum of all marks multiplied by their respective frequencies by the total number of students. The sum of the products is (4 times 5) plus (5 times 4) plus (6 times 8) plus (7 times 4) plus (8 times 10) plus (9 times 12) plus (10 times 5), which equals 354. Dividing this sum by the total frequency of 48 gives an average of 7.375, which rounds to 7.4.

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