NECO 2001 Mathematics · Question 34

The mean age of 12 boys involved survey is 19 years, 3 months. lf the-age of one of the boys is 22 years, what is the mean age of the other-boys?

Options

  1. A.10.5 years
  2. B.19.0 years
  3. C.35.4 years
  4. D.264.0 years
  5. E.423.5 years

Answer: B. 19.0 years

Explanation written with AI and checked against the answer key

Analyze the question: We have 12 boys with a mean age of 19 years 3 months. One boy is 22 years old. We need the mean age of the remaining 11 boys.

Concept: Mean = Total ÷ Number of items, so Total = Mean × Number.

Solution:

  1. Convert the mean to years: 3 months = 3/12 = 0.25 years, so the mean is 19.25 years.
  1. Total age of all 12 boys = 12 × 19.25 = 231 years.
  1. Remove the 22-year-old: 231 − 22 = 209 years.
  1. Mean age of the other 11 boys = 209 ÷ 11 = 19 years.

Answer: The mean age of the other boys is 19.

Tip: For "mean of the others" questions, always find the total first (mean × number), subtract the known value, then divide by the new count. Also convert months to a decimal of a year before calculating (3 months = 0.25 year).

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