JAMB Mathematics 1992 Question 43

Question 43

Measures of Central Tendency

x: 2, 4, 6, 8
f: 4, y, 6, 5
If the mean of the above frequency distribution is 5.2, find y

  1. A.6.0
  2. B.5.2
  3. C.5.0
  4. D.4.0
Show the answer and explanation

Answer: C (5.0)

Explanation

Σfx = 8 + 4y + 36 + 40 = 84 + 4y and Σf = 15 + y. Setting (84 + 4y)/(15 + y) = 5.2 gives 84 + 4y = 78 + 5.2y, so y = 5.