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The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?

Correct answer: D. None

  • A. 55 kg
  • B. 62 kg
  • C. 56 kg
  • D. None

Explanation

Let the original average be x kg, so the 25-person total is 25x kg. After adding a 46 kg person, the 26-person average is x - 5 kg, giving 25x + 46 = 26(x - 5) and therefore x = 176 kg. Since 176 kg is not listed, option d, None, is appropriate; a likely mistake is choosing 55 kg by treating the 5 kg decrease as the original average.

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An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.

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