If set S consists of the numbers 1, 5, -2, 8 and n, is 0

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If set S consists of the numbers 1, 5, -2, 8 and n, is 0 [#permalink]

21 Aug 2011, 07:46

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If set S consists of the numbers 1, 5, -2, 8 and n, is 0 < n < 7 ?

(1) The median of the numbers in set S is less than 5.
(2) The median of the numbers in set S is greater than 1.

Please guide

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Re: Statistics [#permalink]

21 Aug 2011, 09:24

There are three possibilities:

1) -2, n, 1, 5, 8

2) -2, 1, n, 5, 8

3) -2, 1, 5, n, 8

Statement 1 is will satisfy 2) and 3)
Statement 2 will satisfy 1) and 2)

Now clearly, 2) is satisfied by both 1) and 2). And from 2) you can easily say that 0<n<7

Therefore c)

Individually, either of the statement won't help you in in giving the conclusion that n lies within 0 and 7

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Kudos [?]: 28 [0], given: 7

Re: Statistics [#permalink]

21 Aug 2011, 10:44

samramandy wrote:

If set S consists of the numbers 1, 5, -2, 8 and n, is 0 < n < 7 ?

(1) The median of the numbers in set S is less than 5.
(2) The median of the numbers in set S is greater than 1.

Please guide

We need to prove 0 < n < 7 ?

FACT : Median of the set of 5 numbers should be the value of 3rd number.

(1) The median of the numbers in set S is less than 5.
=> So n should be number before 5
=> n < 5, but NOT SUFFICIENT because we still need to prove n>0

(2) The median of the numbers in set S is greater than 1.
=> So n should be number after 1
=> n > 1, but NOT SUFFICIENT because we still need to prove n<7

Combining Statement-1 and Statement-2

=> 1<n<5, which also proves 0<n<7

So C.
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Re: Statistics [#permalink] 21 Aug 2011, 10:44

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If set S consists of the numbers 1, 5, -2, 8 and n, is 0

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If set S consists of the numbers 1, 5, -2, 8 and n, is 0

If set S consists of the numbers 1, 5, -2, 8 and n, is 0

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