Multiple choice

Find the average weight of $16$ boys in a class of $50.25$ kgs and that of the remaining $8$ boys is $45.15$ kgs. Find the average weight of all the boys in the class.

  1. $47.55$ kgs
  2. $48$ kgs$
  3. $48.55$ kgs
  4. $49.25$ kgs
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total weight = (16 * 50.25) + (8 * 45.15) = 804 + 361.2 = 1165.2. Total boys = 24. Average = 1165.2 / 24 = 48.55.

AI explanation

Using the weighted average formula, the total weight of the first 16 boys is 16 multiplied by 50.25, yielding 804 kilograms. The total weight of the remaining 8 boys is 8 multiplied by 45.15, giving 361.2 kilograms. The combined weight of all 24 boys is 804 plus 361.2, resulting in 1165.2 kilograms. Dividing this total weight by 24 gives an overall average weight of 48.55 kilograms.