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The average of 10 numbers is 30. If at the time of calculation one number was wrongly taken as 36 instead of 69, then what will be the correct average?
- a)33
- b)33.3
- c)36
- d)39
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The average of 10 numbers is 30. If at the time of calculation one num...
The average of 10 number is = 30
The sum of the 10 number is = 30 × 10 = 300
36 wrongly taken instead of 69, so new sum = 300 – 36 + 69 = 333
So, new average will be = total sum/ total number = 333/10 = 33.3
The sum of the 10 number is = 30 × 10 = 300
36 wrongly taken instead of 69, so new sum = 300 – 36 + 69 = 333
So, new average will be = total sum/ total number = 333/10 = 33.3
Most Upvoted Answer
The average of 10 numbers is 30. If at the time of calculation one num...
Understanding the Problem
The average of 10 numbers is given as 30. This means that the total sum of these numbers can be calculated as follows:
- Total Sum = Average × Number of Items
- Total Sum = 30 × 10 = 300
Identifying the Error
One number was mistakenly recorded as 36 instead of the correct value of 69. To find the impact of this error on the total sum, we need to adjust the total sum accordingly:
- Incorrect Number = 36
- Correct Number = 69
The difference caused by the error can be calculated as follows:
- Difference = Correct Number - Incorrect Number
- Difference = 69 - 36 = 33
Calculating the Correct Total Sum
Now, we need to add this difference to the original total sum to find the correct sum:
- Correct Total Sum = Original Total Sum + Difference
- Correct Total Sum = 300 + 33 = 333
Determining the Correct Average
Finally, we can calculate the correct average by dividing the corrected total sum by the number of items:
- Correct Average = Correct Total Sum ÷ Number of Items
- Correct Average = 333 ÷ 10 = 33.3
Conclusion
Thus, the correct average after adjusting for the error is:
- Correct Average = 33.3
The correct answer is option 'B'.
The average of 10 numbers is given as 30. This means that the total sum of these numbers can be calculated as follows:
- Total Sum = Average × Number of Items
- Total Sum = 30 × 10 = 300
Identifying the Error
One number was mistakenly recorded as 36 instead of the correct value of 69. To find the impact of this error on the total sum, we need to adjust the total sum accordingly:
- Incorrect Number = 36
- Correct Number = 69
The difference caused by the error can be calculated as follows:
- Difference = Correct Number - Incorrect Number
- Difference = 69 - 36 = 33
Calculating the Correct Total Sum
Now, we need to add this difference to the original total sum to find the correct sum:
- Correct Total Sum = Original Total Sum + Difference
- Correct Total Sum = 300 + 33 = 333
Determining the Correct Average
Finally, we can calculate the correct average by dividing the corrected total sum by the number of items:
- Correct Average = Correct Total Sum ÷ Number of Items
- Correct Average = 333 ÷ 10 = 33.3
Conclusion
Thus, the correct average after adjusting for the error is:
- Correct Average = 33.3
The correct answer is option 'B'.
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The average of 10 numbers is 30. If at the time of calculation one number was wrongly taken as 36 instead of 69, then what will be the correct average?a)33b)33.3c)36d)39Correct answer is option 'B'. Can you explain this answer?
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