JAMB Mathematics 2011 Question 45

Question 45

Measures of Central Tendency

Class Interval: 0-2, 3-5, 6-8, 9-11
Frequency: 3, 2, 5, 3
Find the mode of the above distribution.

  1. A.9
  2. B.8
  3. C.10
  4. D.7
Show the answer and explanation

Answer: D (7)

Explanation

The modal class is 6-8 (boundaries 5.5–8.5). Mode = 5.5 + (5 − 2)/((5 − 2) + (5 − 3)) × 3 = 5.5 + 1.8 = 7.3 ≈ 7.