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The average weight of a group of 20 boys and calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of 87 kg. The correct average weight is?

Question

The average weight of a group of 20 boys and calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of 87 kg. The correct average weight is?

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Solution

Step 1: Calculate the total weight of the 20 boys using the incorrect average. The total weight is the average weight times the number of boys. So, 89.4 kg * 20 = 1788 kg.

Step 2: Subtract the incorrect weight from the total weight. The incorrect weight was 78 kg, so 1788 kg - 78 kg = 1710 kg.

Step 3: Add the correct weight to the new total weight. The correct weight was 87 kg, so 1710 kg + 87 kg = 1797 kg.

Step 4: Calculate the correct average weight. The correct average weight is the new total weight divided by the number of boys. So, 1797 kg / 20 = 89.85 kg.

So, the correct average weight of the group of boys is 89.85 kg.

This problem has been solved

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