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# set S = { -4 , x , 0, 17, 1 } what is the median of the set

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Director
Joined: 07 Jun 2004
Posts: 614
Location: PA
Followers: 3

Kudos [?]: 276 [0], given: 22

set S = { -4 , x , 0, 17, 1 } what is the median of the set [#permalink]  21 Jan 2005, 16:31
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100% (01:23) correct 0% (00:00) wrong based on 1 sessions
set S = { -4 , x , 0, 17, 1 }

what is the median of the set S

I x > 1

II) x< 2
Current Student
Joined: 28 Dec 2004
Posts: 3391
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 181 [0], given: 2

A it is...

first put all the elements in the set in order...

-4 0 1 x 17

i) says X is greater than 1, so it will be put on the right of 1, if you look at the median, it will be 1.

II) says x is less than 2, which means if X is say -2, it will to left of 1, making 0 the median....therefore insufficient
Intern
Joined: 21 Jan 2005
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 0

Statement 1 says that x is greater than 1. It could be 2 or could be 20.

So we don't know whether S = { -4, 0, 1, x, 17 }

or S = { -4, 0, 1, 17, x }

and hence we cannot find the median. The statement is not sufficient.

Eliminate answer choices A and D.

Statement 2 says that x is less than 2. It could be -1 or -6. Again we cannot determine the median. Statement 2 is also insufficient and we can eliminate choice B.

Looking at both the statments together, we can be sure that

S = { -4, 0, 1, x, 17 }. The median is 1 and both the statements together are sufficient to answer the question.

Director
Joined: 27 Dec 2004
Posts: 908
Followers: 1

Kudos [?]: 19 [0], given: 0

(A) it is.
No matter what x is, as long as it is > 1, it will always come after 1 which means out of 5 numbers, 1 will be the middle number (median)
Intern
Joined: 21 Jan 2005
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 0

You are right! I must go to sleep now...

and hopefully get better at math overnight!!
SVP
Joined: 03 Jan 2005
Posts: 2250
Followers: 13

Kudos [?]: 216 [0], given: 0

(A) (median is 0 for I, not sufficient for II)
Manager
Joined: 06 Dec 2004
Posts: 69
Location: san diego
Followers: 1

Kudos [?]: 0 [0], given: 0

Re: DS : Median [#permalink]  22 Jan 2005, 02:43
rxs0005 wrote:
set S = { -4 , x , 0, 17, 1 }

what is the median of the set S

I x > 1

II) x< 2

A

I if x > 1 then the median is one

II if x < 2 the median could be x, 1, or 0 depending on your value of x

so A
Re: DS : Median   [#permalink] 22 Jan 2005, 02:43
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