Question

The average weight of 50 people group is 48kg. There are new 10 peoples added in the group of average weight 45kg. From original group, there are 5 peoples of average weight 50kg are removed. Find the approximate average weight of newly formed group.

1. 50 kg
2. 47 kg
3. 40 kg
4. 51 kg
5. 43 kg

Answer 1

Correct Answer - Option 2 : 47 kg

Given:

Total weight of 50 people group = 50 × 48 = 2400 kg

Total weight of 10 peoples = 10 × 45 = 450 kg

Total weight of 5 peoples = 5 × 50 = 250 kg

Total weight of 45 peoples = 2400 - 250 = 2150 kg

Total weight of (45 + 10 = 55) peoples = 2150 + 450 = 2600 kg

∴ Average weight of 55 peoples = 2600/55 = 47.27 ≈ 47 kg