The average weight of a group of 50 girls was calculated as 58 kg. It was later discovered that the weight of one of the girls was read as 45 kg, whereas her actual weight was 65 kg. What is the actual average weight of the group of the 50 girls?Options58.457.658.657.4None of these
Question
The average weight of a group of 50 girls was calculated as 58 kg. It was later discovered that the weight of one of the girls was read as 45 kg, whereas her actual weight was 65 kg. What is the actual average weight of the group of the 50 girls?Options58.457.658.657.4None of these
Solution
The initial total weight of the group is calculated by multiplying the average weight by the number of girls. So, 58 kg * 50 girls = 2900 kg.
The incorrect weight of one girl was included in this total, so we need to correct this. We do this by subtracting the incorrect weight and adding the correct weight. So, 2900 kg - 45 kg + 65 kg = 2920 kg.
Now, we can calculate the correct average weight by dividing the corrected total weight by the number of girls. So, 2920 kg / 50 girls = 58.4 kg.
So, the correct average weight of the group of 50 girls is 58.4 kg. Therefore, the answer is 58.4.
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