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The average of 11 numbers is 8. If a number 12 is removed, then what will be the new average?
- a)7.4
- b)7.6
- c)7.8
- d)8.2
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The average of 11 numbers is 8. If a number 12 is removed, then what w...
Average of 11 numbers = 8
∴ Sum of 11 numbers = 11 × 8 = 88
After a number 12 is removed
Sum of remaining 10 numbers = 88 - 12 = 76
∴ Average of remaining 10 numbers
= 76/10
= 7.6
Most Upvoted Answer
The average of 11 numbers is 8. If a number 12 is removed, then what w...
To find the new average after removing a number from a given set of numbers, we need to understand the concept of average and how it is affected by adding or removing numbers.
Given:
- The average of 11 numbers is 8.
Formula for Average:
The average of a set of numbers is calculated by dividing the sum of all the numbers by the total count of numbers.
Let's assume the sum of the 11 numbers is S.
Therefore, the average of the 11 numbers can be represented by the equation:
S/11 = 8
S = 11 * 8
S = 88
Calculating the sum of the original 11 numbers, we get S = 88.
Removing a Number:
Now, if we remove a number 12 from the set, we need to recalculate the sum of the remaining numbers.
Let's assume the sum of the remaining 10 numbers is S2.
Therefore, the new average of the 10 numbers can be represented by the equation:
S2/10 = ?
Calculating the new sum of the remaining 10 numbers:
S2 = S - 12 (Subtracting the number 12 from the original sum)
S2 = 88 - 12
S2 = 76
Calculating the new average:
S2/10 = 76/10
S2/10 = 7.6
Therefore, the new average of the 10 numbers after removing the number 12 is 7.6.
Hence, option B) 7.6 is the correct answer.
Given:
- The average of 11 numbers is 8.
Formula for Average:
The average of a set of numbers is calculated by dividing the sum of all the numbers by the total count of numbers.
Let's assume the sum of the 11 numbers is S.
Therefore, the average of the 11 numbers can be represented by the equation:
S/11 = 8
S = 11 * 8
S = 88
Calculating the sum of the original 11 numbers, we get S = 88.
Removing a Number:
Now, if we remove a number 12 from the set, we need to recalculate the sum of the remaining numbers.
Let's assume the sum of the remaining 10 numbers is S2.
Therefore, the new average of the 10 numbers can be represented by the equation:
S2/10 = ?
Calculating the new sum of the remaining 10 numbers:
S2 = S - 12 (Subtracting the number 12 from the original sum)
S2 = 88 - 12
S2 = 76
Calculating the new average:
S2/10 = 76/10
S2/10 = 7.6
Therefore, the new average of the 10 numbers after removing the number 12 is 7.6.
Hence, option B) 7.6 is the correct answer.
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The average of 11 numbers is 8. If a number 12 is removed, then what will be the new average?a)7.4b)7.6c)7.8d)8.2Correct answer is option 'B'. Can you explain this answer?
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The average of 11 numbers is 8. If a number 12 is removed, then what will be the new average?a)7.4b)7.6c)7.8d)8.2Correct answer is option 'B'. 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 11 numbers is 8. If a number 12 is removed, then what will be the new average?a)7.4b)7.6c)7.8d)8.2Correct answer is option 'B'. 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 11 numbers is 8. If a number 12 is removed, then what will be the new average?a)7.4b)7.6c)7.8d)8.2Correct answer is option 'B'. Can you explain this answer?.
The average of 11 numbers is 8. If a number 12 is removed, then what will be the new average?a)7.4b)7.6c)7.8d)8.2Correct answer is option 'B'. 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 11 numbers is 8. If a number 12 is removed, then what will be the new average?a)7.4b)7.6c)7.8d)8.2Correct answer is option 'B'. 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 11 numbers is 8. If a number 12 is removed, then what will be the new average?a)7.4b)7.6c)7.8d)8.2Correct answer is option 'B'. Can you explain this answer?.
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