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JAMB Mathematics 1993 Question 45

Question 45

Measures of Central Tendency

Weight (g): 0-10, 10-20, 20-30, 30-40, 40-50
No. of coconuts: 10, 27, 19, 6, 2
Estimate the mode of the frequency distribution above.

  1. A.13.2g
  2. B.15.0g
  3. C.16.8g
  4. D.17.5g
Show the answer and explanation

Answer: C (16.8g)

Explanation

The modal class is 10–20 (27 coconuts). Mode = L + d₁/(d₁ + d₂) × c = 10 + (27 − 10)/((27 − 10) + (27 − 19)) × 10 = 10 + 17/25 × 10 = 16.8g.