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Average of 10 numbers is 30. Later on it was observed that numbers 17, 24 are wrongly taken as 71, 42. What is the correct average?
  • a)
    22.8
  • b)
    32.4
  • c)
    30.2
  • d)
    34.5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Average of 10 numbers is 30. Later on it was observed that numbers 17,...
Avergae of 10 numbers = 30
⇒ (Sum of 10 numbers)/10 = 30
⇒ Sum of 10 numbers = 300
⇒ 17 and 24 are mistaken as 71 and 42
⇒ New sum = 300 - 71 - 42 + 17 + 24 = 228
∴ New Average = 228/10 = 22.8
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Most Upvoted Answer
Average of 10 numbers is 30. Later on it was observed that numbers 17,...
Given information:
- The average of 10 numbers is 30.

Calculating the sum of the 10 numbers:
To find the sum of the 10 numbers, we multiply the average (30) by the number of values (10):
Sum = Average * Number of values = 30 * 10 = 300

Observation:
- Two numbers (17 and 24) were wrongly taken as 71 and 42.

Calculating the correct sum of the 10 numbers:
To find the correct sum of the 10 numbers, we subtract the wrongly taken numbers and add the correct numbers:
Correct sum = Sum - (Wrongly taken numbers) + (Correct numbers)
= 300 - (71 + 42) + (17 + 24)
= 300 - 113 + 41
= 228 + 41
= 269

Calculating the correct average:
To find the correct average, we divide the correct sum by the number of values:
Correct average = Correct sum / Number of values = 269 / 10 = 26.9

Conclusion:
The correct average of the 10 numbers is 26.9. However, none of the given options match this value. Therefore, there might be an error in the question or the options.
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Average of 10 numbers is 30. Later on it was observed that numbers 17, 24 are wrongly taken as 71, 42. What is the correct average?a)22.8b)32.4c)30.2d)34.5Correct answer is option 'A'. Can you explain this answer?
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Average of 10 numbers is 30. Later on it was observed that numbers 17, 24 are wrongly taken as 71, 42. What is the correct average?a)22.8b)32.4c)30.2d)34.5Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Average of 10 numbers is 30. Later on it was observed that numbers 17, 24 are wrongly taken as 71, 42. What is the correct average?a)22.8b)32.4c)30.2d)34.5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Average of 10 numbers is 30. Later on it was observed that numbers 17, 24 are wrongly taken as 71, 42. What is the correct average?a)22.8b)32.4c)30.2d)34.5Correct answer is option 'A'. Can you explain this answer?.
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