Question

The average weight of a group of 75 girls was calculated as 47 Kg. It was later discovered that the weight of one of the girls was read as 45 Kg, whereas her actual weight was 25 Kg. What is the actual average weight of the group of 75 girls?
1. 46.73 Kg
2. 46.64 Kg
3. 45.96 Kg
4. None of these

Answer 1

Correct Answer - Option 1 : 46.73 Kg

Given:

Average weight of 75 girls = 47 kg

Mistaken weight = 45 kg

Actual weight = 25 kg

Concept Used:

Total weight = Average weight × total number of girls

Calculation:

Total weight of 75 girls = 47 × 75 = 3525 kg

The weight of one of the girls was read as 45 Kg, whereas her actual weight was 25 Kg

Total weight now = 3525 - 45 + 25 = 3505 kg

The actual average weight of the group of 75 girls = 3505/75 = 46.73 kg