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In the set of data above, is x>10?

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In the set of data above, is x>10?  [#permalink]

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New post 18 May 2017, 00:20
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

66% (01:47) correct 34% (01:35) wrong based on 117 sessions

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Re: In the set of data above, is x>10?  [#permalink]

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New post 18 May 2017, 02:48
1
5,10,17,23,x.
St. 1- x is the median; so x=10 or 10<x<17----- hence insufficient
St. 2- Let mean = y; x=y-3
Mean= (55+x)/5 =y
55+x=5y
55+y-3=5y
y=13
Hence x=10--- Finite answer--- Sufficient.
Answer- B
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In the set of data above, is x>10?  [#permalink]

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New post 18 May 2017, 08:16
Bunuel wrote:
10,17,5,23,x
In the set of data above, is x>10?

(1) x is the median of the set

(2) x is 3 less than the mean of the set


Arranging terms in increasing order {5, 10, 17, 23, x}

Statement (1): x is the median of the set
i.e. {5, 10, x, 17, 23} but according to this condition x may be anything from 10 to 17 inclusive
hence x may be equal to 10 or greater than 10
NOT SUFFICIENT

Statement (2): x is 3 less than the mean of the set
i.e. x+3 = (55+x)/4
We get exact value of x hence
SUFFICIENT

Answer: Option B
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Re: In the set of data above, is x>10?  [#permalink]

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New post 19 May 2017, 05:15
GMATinsight wrote:
Bunuel wrote:
10,17,5,23,x
In the set of data above, is x>10?

(1) x is the median of the set

(2) x is 3 less than the mean of the set


Arranging terms in increasing order {5, 10, 17, 23, x}

Statement (1): x is the median of the set
i.e. {5, 10, x, 17, 23} but according to this condition x may be anything from 10 to 17 inclusive
hence x may be equal to 10 or greater than 10
NOT SUFFICIENT

Statement (2): x is 3 less than the mean of the set
i.e. x+3 = (55+x)/4
We get exact value of x hence
SUFFICIENT

Answer: Option B


I would like to draw your attention that the number of numbers are 5.
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Re: In the set of data above, is x>10?  [#permalink]

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New post 19 May 2017, 07:37
It is B
A says that x is median so X can be 10, 11 12 or anything so not sufficient
however B says that 5+10+17+23+x/5 = x-3-----solving this we get the value of x which is 12
thus x > 10
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Re: In the set of data above, is x>10?  [#permalink]

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New post 13 Jul 2017, 16:31
Bunuel wrote:
10,17,5,23,x
In the set of data above, is x>10?

(1) x is the median of the set

(2) x is 3 less than the mean of the set


Statement 1- actually x could be exactly 10. insuff

Statement 2-

x-3 = 55 +x /5
15x -15= 55 + x
15x = 70 +x
14x= 70

x=5

Suff

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Re: In the set of data above, is x>10?   [#permalink] 13 Jul 2017, 16:31
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