JAMB Mathematics 1998 Question 43

Question 43

Measures of Central Tendency

Average hourly earnings (N): 5–9, 10–14, 15–19, 20–24
No. of workers: 17, 32, 25, 24
Estimate the mode of the above frequency distribution.

  1. A.12.2
  2. B.12.7
  3. C.12.9
  4. D.13.4
Show the answer and explanation

Answer: C (12.9)

Explanation

The modal class is 10–14 (32 workers). Mode = L + d₁/(d₁ + d₂) × c = 9.5 + 15/(15 + 7) × 5 ≈ 9.5 + 3.4 = 12.9.