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?
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?
Solution
Sure, here is the step by step solution:
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First, calculate the total weight of the 50 girls as per the incorrect calculation. This is done by multiplying the average weight by the number of girls. So, 58 kg (average weight) * 50 (number of girls) = 2900 kg.
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Then, correct the total weight by subtracting the incorrect weight of the girl and adding her actual weight. So, 2900 kg (total weight) - 45 kg (incorrect weight) + 65 kg (actual weight) = 2920 kg.
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Finally, calculate the correct average weight by dividing the corrected total weight by the number of girls. So, 2920 kg / 50 = 58.4 kg.
So, the actual average weight of the group of the 50 girls is 58.4 kg.
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