marks 3 4 5 6 7 8
frequency 5 (y-1) y 9 4 1
The table above gives the frequency distribution of marks obtained by a group of students in a test. If the total mark scored is 200, calculate the value of y
  • A 15
  • B 13
  • C 11
  • D 8
jamb 2007mathematics

The correct answer is C. 11

The total mark scored is calculated by multiplying the marks by their respective frequencies and adding the products. From the given table, the total mark scored is 3 5 + 4 (y - 1) + 5 y + 6 9 + 7 4 + 8 1 = 200. Solving this equation for y, we get:

15 + 4y - 4 + 5y + 54 + 28 + 8 = 200

9y + 101 = 200

9y = 99

y = 11

So, the value of y is 11.

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