Question : The average weight of a team of 20 people was calculated to be 59.8 kg and it was later discovered that one weight was misread as 68 kg instead of 77 kg. The correct average weight is:
Option 1: 70.25 kg
Option 2: 61.25 kg
Option 3: 60.25 kg
Option 4: 60.50 kg
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Correct Answer: 60.25 kg
Solution :
We know that, Total weight = Average weight × Number of persons.
The average weight of a team of 20 people is 59.8 kg.
So, the total weight of 20 people = (59.8 × 20) = 1196 kg
Now, correct total weight = (1196 – 68 + 77) = 1205 kg
$\therefore$ The correct average = $\frac{1205}{20}=60.25$ kg
Hence, the correct answer is 60.25 kg.
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