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The average (arithmetic mean) of 11 numbers is 10. When one

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The average (arithmetic mean) of 11 numbers is 10. When one [#permalink] New post 08 Apr 2020, 05:22
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The average (arithmetic mean) of 11 numbers is 10. When one number is eliminated, the average of the remaining numbers is 9.3. What is the eliminated number?

A. 14
B. 15
C. 16
D. 17
E. 18


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[Reveal] Spoiler: OA

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Re: The average (arithmetic mean) of 11 numbers is 10. When one [#permalink] New post 08 Apr 2020, 06:33
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Carcass wrote:
The average (arithmetic mean) of 11 numbers is 10. When one number is eliminated, the average of the remaining numbers is 9.3. What is the eliminated number?

A. 14
B. 15
C. 16
D. 17
E. 18


Kudos for the right answer and explanation


The average (arithmetic mean) of 11 numbers is 10.
We can write: (sum of all 11 numbers)/11 = 10
Multiply both sides by 11 to get: sum of all 11 numbers = 110

When one number is eliminated, the average of the remaining numbers is 9.3
We can write: (sum of remaining 10 numbers)/10 = 9.3
Multiply both sides by 1 to get: sum of remaining 10 numbers = 93

What is the eliminated number?
We now know that:
sum of all 11 numbers = 110
sum of remaining 10 numbers = 93

110 - 93 = 17
Since the two sums differ by 17, the number that was eliminated must be 17

Answer: D

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Re: The average (arithmetic mean) of 11 numbers is 10. When one   [#permalink] 08 Apr 2020, 06:33
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