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# What is the median of 30 numbers? Each of the numbers is

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Senior Manager
Joined: 08 Aug 2005
Posts: 251

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What is the median of 30 numbers? Each of the numbers is [#permalink]

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06 May 2006, 04:25
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the median of 30 numbers? Each of the numbers is greater more or equal to 3.

1) Each number <=6
2) The sum of the numbers is 104

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VP
Joined: 29 Dec 2005
Posts: 1338

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Re: Median of 30 numbers [#permalink]

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11 May 2006, 18:41
getzgetzu wrote:
What is the median of 30 numbers? Each of the numbers is greater more or equal to 3.

1) Each number <=6
2) The sum of the numbers is 104

numbers???????????? there are infinite numbers in between 3 and 6. so E makes sense....

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Intern
Joined: 10 Jan 2006
Posts: 25

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11 May 2006, 20:32
Assuming they are integers (B) looks right.

104 = 3*30 +14
=> (30 -14) i.e 16 or more of the numbers are equal to three so the median is 3.

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Director
Joined: 24 Oct 2005
Posts: 659

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Location: London

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12 May 2006, 03:48
B is sufficient.

the set can have 3 scenarios

1) all 4
2) combinations of 3 and 5.
3) combination of 3, 4 and 5

In 2 and 3, the no of 3 should be equal to no of 5.
So median in all cases is 4.

Yes, this does hold true only if they are integers
Now, is that the catch in this question

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VP
Joined: 29 Dec 2005
Posts: 1338

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12 May 2006, 18:35
remgeo wrote:
B is sufficient.

the set can have 3 scenarios

1) all 4
2) combinations of 3 and 5.
3) combination of 3, 4 and 5

In 2 and 3, the no of 3 should be equal to no of 5.
So median in all cases is 4.

Yes, this does hold true only if they are integers
Now, is that the catch in this question

it says number (3.5, 2.6, 4.7 etc) not integers (-2, 0, 3, 5 etc).

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Director
Joined: 16 Aug 2005
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13 May 2006, 10:44
What is the source and OA?

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13 May 2006, 10:44
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