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The average of 21 numbers is 20. IF a number 40 is removed, then what will be the new average?
  • a)
    19
  • b)
    10.25
  • c)
    19.5
  • d)
    22
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The average of 21 numbers is 20. IF a number 40 is removed, then what ...
Average of 21 numbers = 20
∴ total of 21 numbers = 21 × 20 = 420
After removing a number total of 20 numbers,
⇒ 420 - 40 = 380
∴ New average,
⇒ 380/20 = 19
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Most Upvoted Answer
The average of 21 numbers is 20. IF a number 40 is removed, then what ...
Given Information:
- The average of 21 numbers is 20.
- A number 40 is removed.

To find:
- The new average after removing the number 40.

Solution:
1. The average of a set of numbers is found by summing up all the numbers and dividing the sum by the total number of values.
2. Let's assume the sum of the 21 numbers is S.
3. According to the given information, the average of the 21 numbers is 20, so we can write the equation as:
(Sum of 21 numbers)/21 = 20
S/21 = 20
S = 20 * 21
S = 420
4. Now, let's calculate the sum of the remaining 20 numbers after removing the number 40.
Sum of remaining 20 numbers = S - 40 = 420 - 40 = 380
5. To find the new average, we divide the sum of the remaining 20 numbers by the total number of values which is 20.
New average = (Sum of remaining 20 numbers)/20 = 380/20 = 19

Hence, the new average after removing the number 40 is 19. Therefore, the correct answer is option A) 19.
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Community Answer
The average of 21 numbers is 20. IF a number 40 is removed, then what ...
Average of 21 numbers = 20
∴ total of 21 numbers = 21 × 20 = 420
After removing a number total of 20 numbers,
⇒ 420 - 40 = 380
∴ New average,
⇒ 380/20 = 19
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The average of 21 numbers is 20. IF a number 40 is removed, then what will be the new average?a)19b)10.25c)19.5d)22Correct answer is option 'A'. Can you explain this answer?
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