The marks scored by 30 students in a Mathematics test are recorded in the table below:

Scores (Mark) 0 1 2 3 4 5
No of students 4 3 7 8 6 2

What is the total number of marks scored by the children?

  • A 82
  • B 15
  • C 63
  • D 75
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The correct answer is D. 75

The total number of marks scored by the children can be calculated by multiplying the number of students who scored each mark by the mark itself, and then summing up the products. 

From the table, we can see that:

  • 4 students scored 0 marks, so they contributed 0 * 4 = 0 marks to the total.
  • 3 students scored 1 mark, so they contributed 1 * 3 = 3 marks to the total.
  • 7 students scored 2 marks, so they contributed 2 * 7 = 14 marks to the total.
  • 8 students scored 3 marks, so they contributed 3 * 8 = 24 marks to the total.
  • 6 students scored 4 marks, so they contributed 4 * 6 = 24 marks to the total.
  • 2 students scored 5 marks, so they contributed 5 * 2 = 10 marks to the total.

Adding up all these contributions, we get that the total number of marks scored by the children is 0 + 3 + 14 + 24 + 24 +10 = 75

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