JAMB Mathematics 1982 Question 48

Question 48

Measures of Central Tendency

The arithmetic mean of the ages of 30 pupils in a class is 15.3 years. One boy leaves the class and one girl is enrolled, and the new average age of 30 pupils in the class becomes 15.2 years. How much older is the boy than the girl?

  1. A.30 years
  2. B.6 years
  3. C.9 years
  4. D.3 years
  5. E.1 year.
Show the answer and explanation

Answer: D (3 years)

Explanation

The total age falls from 30 × 15.3 = 459 to 30 × 15.2 = 456 years, so the boy is 3 years older than the girl.