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The average (arithmetic mean) of 11 numbers is 10. When one
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08 Apr 2020, 05:22
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
Kudos for the right answer and explanation
A. 14
B. 15
C. 16
D. 17
E. 18
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
The average (arithmetic mean) of 11 numbers is 10. When one
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08 Apr 2020, 06:33
08 Apr 2020, 06:33
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
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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Status:GRE Quant Tutor
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Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
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WE:Engineering (Computer Software)
The average (arithmetic mean) of 11 numbers is 10. When one
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05 Aug 2022, 23:08
05 Aug 2022, 23:08
Theory
The average (arithmetic mean) of 11 numbers is 10
Sum of 11 numbers = Average * 11 = 10 * 11 = 110
When one number is eliminated, the average of the remaining numbers is 9.3
Sum of remaining 10 numbers = Average * 10 = 9.3 * 10 = 93
Discarded number = Sum of 11 numbers - Sum of remaining 10 numbers = 110 - 93 = 17
So, Answer will be D.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
- ➡ Average = Sum of all the Values / Total Number of Values
➡ Sum of all the Values = Average * Total Number of Values
The average (arithmetic mean) of 11 numbers is 10
Sum of 11 numbers = Average * 11 = 10 * 11 = 110
When one number is eliminated, the average of the remaining numbers is 9.3
Sum of remaining 10 numbers = Average * 10 = 9.3 * 10 = 93
Discarded number = Sum of 11 numbers - Sum of remaining 10 numbers = 110 - 93 = 17
So, Answer will be D.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
