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Set S consists of integers 7, 8, 10, 12, and 13. If integer n is inclu

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Bunuel
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Set S consists of integers 7, 8, 10, 12, and 13. If integer n is inclu [#permalink] New post   08 Oct 2014, 14:13
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Tough and Tricky questions: Statistics



Set S consists of integers 7, 8, 10, 12, and 13. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 20%. What is the value of integer n?

A. 10
B. 12
C. 16
D. 22
E. 24
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D
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Re: Set S consists of integers 7, 8, 10, 12, and 13. If integer n is inclu [#permalink] New post   08 Oct 2014, 21:36
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Average of the given numbers \(= \frac{7 + 8 + 10 + 12 + 13}{5} = 10\)

Increment is 20% after including "n" = 10 + 2 = 12

New equation\(= \frac{50 + n}{6} = 12\)

n = 72 - 50 = 22

Answer = D
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Re: Set S consists of integers 7, 8, 10, 12, and 13. If integer n is inclu [#permalink] New post   08 Oct 2014, 16:13
Not sure how it is tricky !!!

Quite a simple one.

Current Avg = (7+8+10+12+13)/5 = 50/5 =10

So, New Avg = 1.2 * Current Avg = 12

12 = (50+n)/6

n= 72-50 =22 Ans
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Re: Set S consists of integers 7, 8, 10, 12, and 13. If integer n is inclu [#permalink] New post   08 Oct 2014, 20:31
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Bunuel wrote:

Tough and Tricky questions: Statistics



Set S consists of integers 7, 8, 10, 12, and 13. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 20%. What is the value of integer n?

A. 10
B. 12
C. 16
D. 22
E. 24


The average of given nos is 10 and we need to increase it by 20% so new average will be 12..
If the average of 6 nos (including n) is 12 then sum is 72
and sum of 5 no (excluding n) is 50

The number n to be added is 72-50=22
Ans D
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Re: Set S consists of integers 7, 8, 10, 12, and 13. If integer n is inclu [#permalink] New post   22 Feb 2019, 16:36
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Bunuel wrote:

Tough and Tricky questions: Statistics



Set S consists of integers 7, 8, 10, 12, and 13. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 20%. What is the value of integer n?

A. 10
B. 12
C. 16
D. 22
E. 24



The average of the original set is 50/5 = 10. When n is added to the set, we have:

(50 + n)/6 = 1.2 x 10

50 + n = 6 x 12

50 + n = 72

n = 22

Answer: D
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Re: Set S consists of integers 7, 8, 10, 12, and 13. If integer n is inclu [#permalink] New post   21 Mar 2023, 06:37
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Re: Set S consists of integers 7, 8, 10, 12, and 13. If integer n is inclu [#permalink]
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