Railways Exam  >  Railways Questions  >  The average of 100 items was found to be 30. ... Start Learning for Free
The average of 100 items was found to be 30. If at the time of calculation, two terms were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average is
  • a)
    29.8
  • b)
    29
  • c)
    29.9
  • d)
    29.5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average of 100 items was found to be 30. If at the time of calcula...
the sum of 100 numbers = 30 × 100 = 3000
As 23 and 11 was added as 32 and 12
Therefore, actual sum = 3000 – 32 – 12 + 23 + 11 = 2990
correct mean = 2990/100 = 29.90
View all questions of this test
Most Upvoted Answer
The average of 100 items was found to be 30. If at the time of calcula...
Given information:
- Average of 100 items = 30

To find:
- Correct average after the wrong terms were taken

Approach:
1. Calculate the sum of the 100 items using the given average.
2. Calculate the sum of the wrong terms that were mistakenly taken.
3. Find the difference between the sum of the wrong terms and the sum of the correct terms.
4. Adjust the average by subtracting the difference from the original average.
5. The adjusted average will be the correct average.

Calculation:
1. Calculate the sum of the 100 items using the given average:
Sum = Average * Number of items
Sum = 30 * 100
Sum = 3000

2. Calculate the sum of the wrong terms that were mistakenly taken:
Sum of wrong terms = 32 + 12
Sum of wrong terms = 44

3. Find the difference between the sum of the wrong terms and the sum of the correct terms:
Difference = Sum of wrong terms - Sum of correct terms
Difference = 44 - (23 + 11)
Difference = 44 - 34
Difference = 10

4. Adjust the average by subtracting the difference from the original average:
Correct average = Average - (Difference / Number of items)
Correct average = 30 - (10 / 100)
Correct average = 30 - 0.1
Correct average = 29.9

Conclusion:
The correct average, after the wrong terms were taken, is 29.9. Therefore, the correct answer is option 'C'.
Explore Courses for Railways exam
The average of 100 items was found to be 30. If at the time of calculation, two terms were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average isa)29.8b)29c)29.9d)29.5Correct answer is option 'C'. Can you explain this answer?
Question Description
The average of 100 items was found to be 30. If at the time of calculation, two terms were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average isa)29.8b)29c)29.9d)29.5Correct answer is option 'C'. 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 The average of 100 items was found to be 30. If at the time of calculation, two terms were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average isa)29.8b)29c)29.9d)29.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 100 items was found to be 30. If at the time of calculation, two terms were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average isa)29.8b)29c)29.9d)29.5Correct answer is option 'C'. Can you explain this answer?.
Solutions for The average of 100 items was found to be 30. If at the time of calculation, two terms were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average isa)29.8b)29c)29.9d)29.5Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways. Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of The average of 100 items was found to be 30. If at the time of calculation, two terms were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average isa)29.8b)29c)29.9d)29.5Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The average of 100 items was found to be 30. If at the time of calculation, two terms were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average isa)29.8b)29c)29.9d)29.5Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The average of 100 items was found to be 30. If at the time of calculation, two terms were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average isa)29.8b)29c)29.9d)29.5Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The average of 100 items was found to be 30. If at the time of calculation, two terms were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average isa)29.8b)29c)29.9d)29.5Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The average of 100 items was found to be 30. If at the time of calculation, two terms were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average isa)29.8b)29c)29.9d)29.5Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Railways tests.
Explore Courses for Railways exam

Top Courses for Railways

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev