Multiple choice

There are two Sections, namely, C and D of a Class, consisting of 30 and 50 students respectively. If the average weight of students of Section C is 45 kg and that of Section D is 50 kg, then find the average weight of students of both the sections overall?

  1. 48.125 kg

  2. 49.250 kg

  3. 40.120 kg

  4. 41.105 kg

  5. 43.115 kg
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A Correct answer
Explanation

Total weight = (30 * 45) + (50 * 50) = 1350 + 2500 = 3850. Total students = 80. Average = 3850 / 80 = 48.125 kg.

AI explanation

Using the weighted average method, the overall average equals the sum of all weights divided by the total number of students. The total weight is (30 students times 45 kg) plus (50 students times 50 kg), giving 1350 kg plus 2500 kg for a combined weight of 3850 kg. Dividing this total weight by the overall number of students, which is 30 plus 50 or 80 students, yields an average weight of 3850 divided by 80. This calculation results in an overall average weight of 48.125 kg.

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