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Average of 30 numbers is 106. Later it was seen that two numbers 82 and 136 were wrongly taken as 92 and 186 for calculation of average. What is the correct average?
- a)104
- b)103.5
- c)102.5
- d)101
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Average of 30 numbers is 106. Later it was seen that two numbers 82 an...
Let the sum of other numbers be x
(x + 92 + 186)/30 = 106
x = 2902
Original average = (2902 + 82 + 136)/30 = 104
(x + 92 + 186)/30 = 106
x = 2902
Original average = (2902 + 82 + 136)/30 = 104
Most Upvoted Answer
Average of 30 numbers is 106. Later it was seen that two numbers 82 an...
Given:
- Average of 30 numbers is 106.
- Two numbers 82 and 136 were wrongly taken as 92 and 186 for calculation of the average.
To Find:
- Correct average.
Solution:
Let's denote the sum of the 30 numbers as S.
According to the given information, the sum of the 30 numbers is 106 * 30 = 3180.
Incorrect Calculation:
- Let's denote the sum of the 30 numbers with the wrong values as S'.
- S' = S - 82 + 92 - 136 + 186 (subtracting the wrongly taken numbers and adding the correct numbers)
- S' = S + (92 - 82) + (186 - 136)
- S' = S + 10 + 50
- S' = S + 60
Therefore, the sum of the 30 numbers with the wrong values is 3180 + 60 = 3240.
Correct Average:
The correct average can be calculated by dividing the sum of the 30 numbers with the wrong values by 30.
Correct average = S' / 30
Correct average = 3240 / 30
Correct average = 108
Hence, the correct average of the 30 numbers is 108, which corresponds to option 'A'.
- Average of 30 numbers is 106.
- Two numbers 82 and 136 were wrongly taken as 92 and 186 for calculation of the average.
To Find:
- Correct average.
Solution:
Let's denote the sum of the 30 numbers as S.
According to the given information, the sum of the 30 numbers is 106 * 30 = 3180.
Incorrect Calculation:
- Let's denote the sum of the 30 numbers with the wrong values as S'.
- S' = S - 82 + 92 - 136 + 186 (subtracting the wrongly taken numbers and adding the correct numbers)
- S' = S + (92 - 82) + (186 - 136)
- S' = S + 10 + 50
- S' = S + 60
Therefore, the sum of the 30 numbers with the wrong values is 3180 + 60 = 3240.
Correct Average:
The correct average can be calculated by dividing the sum of the 30 numbers with the wrong values by 30.
Correct average = S' / 30
Correct average = 3240 / 30
Correct average = 108
Hence, the correct average of the 30 numbers is 108, which corresponds to option 'A'.
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Average of 30 numbers is 106. Later it was seen that two numbers 82 and 136 were wrongly taken as 92 and 186 for calculation of average. What is the correct average?a)104b)103.5c)102.5d)101Correct answer is option 'A'. Can you explain this answer?
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Solutions for Average of 30 numbers is 106. Later it was seen that two numbers 82 and 136 were wrongly taken as 92 and 186 for calculation of average. What is the correct average?a)104b)103.5c)102.5d)101Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
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