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The average weight of a sample of 10 apples is 52 g. Later it was found that the weighing machine had shown the weight of each apple 10 g less. What is the correct average weight of an apple?
- a)62 g
- b)54 g
- c)56 g
- d)52 g
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The average weight of a sample of 10 apples is 52g. Later it was found...
Since every apple has now 10g more, the average will rise by 10g, So accurate average= 52+10=62g
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The average weight of a sample of 10 apples is 52g. Later it was found...
Understanding the Problem
In this scenario, we have a sample of 10 apples with an average weight of 52g. However, it was discovered that the weighing machine had a fault, showing each apple's weight 10g less than its actual weight.
Calculating the Total Weight
To find the total weight of the apples based on the initial average:
- Average weight of apples = 52g
- Number of apples = 10
Total weight = Average weight × Number of apples
Total weight = 52g × 10 = 520g
Adjusting for the Weighing Error
Since each apple was actually 10g heavier, we need to adjust the total weight:
- Actual weight of each apple = 52g + 10g = 62g
Now, we find the new total weight with the corrected apple weight:
Total actual weight = (Average weight of apples + 10g) × Number of apples
Total actual weight = (52g + 10g) × 10 = 62g × 10 = 620g
Calculating the Correct Average Weight
Now, we can find the correct average weight of the apples:
- Correct average weight = Total actual weight / Number of apples
Correct average weight = 620g / 10 = 62g
Conclusion
The correct average weight of each apple is:
- 62g
Thus, the answer is option 'A'.
In this scenario, we have a sample of 10 apples with an average weight of 52g. However, it was discovered that the weighing machine had a fault, showing each apple's weight 10g less than its actual weight.
Calculating the Total Weight
To find the total weight of the apples based on the initial average:
- Average weight of apples = 52g
- Number of apples = 10
Total weight = Average weight × Number of apples
Total weight = 52g × 10 = 520g
Adjusting for the Weighing Error
Since each apple was actually 10g heavier, we need to adjust the total weight:
- Actual weight of each apple = 52g + 10g = 62g
Now, we find the new total weight with the corrected apple weight:
Total actual weight = (Average weight of apples + 10g) × Number of apples
Total actual weight = (52g + 10g) × 10 = 62g × 10 = 620g
Calculating the Correct Average Weight
Now, we can find the correct average weight of the apples:
- Correct average weight = Total actual weight / Number of apples
Correct average weight = 620g / 10 = 62g
Conclusion
The correct average weight of each apple is:
- 62g
Thus, the answer is option 'A'.
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