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The average weight of a group of 10 people is 60 kg. If the weight of one person is incorrectly recorded as 70 kg instead of 50 kg, what is the correct average weight?
- a)58
- b)59
- c)60
- d)61
- e)63
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The average weight of a group of 10 people is 60 kg. If the weight of ...
The total weight of the group is 10 x 60 = 600 kg.
After correcting the weight of the individual, the total weight becomes 600 - 70 + 50 = 580 kg.
The new average weight is 580 / 10 = 58 kg.
After correcting the weight of the individual, the total weight becomes 600 - 70 + 50 = 580 kg.
The new average weight is 580 / 10 = 58 kg.
Most Upvoted Answer
The average weight of a group of 10 people is 60 kg. If the weight of ...
The total weight of the group is 10 x 60 = 600 kg.
After correcting the weight of the individual, the total weight becomes 600 - 70 + 50 = 580 kg.
The new average weight is 580 / 10 = 58 kg.
After correcting the weight of the individual, the total weight becomes 600 - 70 + 50 = 580 kg.
The new average weight is 580 / 10 = 58 kg.
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Community Answer
The average weight of a group of 10 people is 60 kg. If the weight of ...
Incorrect Calculation of Average Weight
The average weight of a group of 10 people is calculated by summing up the weights of all individuals and dividing by the total number of people. In this case, the average weight was incorrectly calculated as 60 kg.
Impact of Incorrect Recording
If the weight of one person is incorrectly recorded as 70 kg instead of the actual weight of 50 kg, it means there is an error of 20 kg for that individual. This error affects the overall average weight calculation.
Correcting the Average Weight
To find the correct average weight, we need to adjust the total weight by subtracting the error from the group's total weight. The total weight of the group with the incorrect recording is 10 * 60 = 600 kg. By subtracting the 20 kg error and adding the correct weight of 50 kg, we get a new total weight of 600 - 20 + 50 = 630 kg.
Now, we can calculate the correct average weight by dividing the new total weight by the total number of people (10). Therefore, the correct average weight is 630 kg / 10 = 63 kg.
Therefore, the correct answer is option B) 59.
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