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WAEC Further Mathematics 2008 Question 28

Question 28

Statistics

The table shows the distribution of marks by some candidates in a test.
Marks: 2, 3, 4, 5, 6, 7, 8
No of students: 5, 7, 9, 6, 3, 6, 4
Find, correct to one decimal place, the mean of the distribution.

  1. A.5.5
  2. B.5.3
  3. C.5.2
  4. D.4.7
Show the answer and explanation

Answer: D (4.7)

Explanation

Σfx = 10 + 21 + 36 + 30 + 18 + 42 + 32 = 189 and Σf = 40, so the mean is 189/40 = 4.725 ≈ 4.7.