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What is the median of a certain set of 7 numbers?

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What is the median of a certain set of 7 numbers? [#permalink] New post 28 Apr 2010, 11:42
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Question Stats:

84% (01:34) correct 16% (00:40) wrong based on 40 sessions
What is the median of a certain set of 7 numbers?

(1) 3 of the numbers are less than 10
(2) 4 of the numbers are greater than 10
[Reveal] Spoiler: OA

Last edited by Bunuel on 05 Jan 2015, 04:09, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: What is the median of a certain set of 7 numbers? [#permalink] New post 28 Apr 2010, 11:49
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zz0vlb wrote:
What is the median of a certain set of 7 numbers?

(1) 3 of the numbers are less than 10
(2) 4 of the numbers are greater than 10

[Reveal] Spoiler:
E


apparently both are insufficient individually.

take both of them together.

1 2 3 11 12 13 14 .... median is 11

3 5 9 12 16 18 19 median is 12....so no clear picture....thus E
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Re: What is the median of a certain set of 7 numbers? [#permalink] New post 28 Apr 2010, 17:33
Thanks Gurpreetsingh. +1 Kudos to you.
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Re: What is the median of a certain set of 7 numbers? [#permalink] New post 03 Jan 2015, 09:43
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Re: What is the median of a certain set of 7 numbers? [#permalink] New post 03 Jan 2015, 13:06
Expert's post
Hi All,

gurpreetsingh's approach to TEST VALUES was perfect for this DS question, but you can make it even easier. The prompt did NOT state that the 7 numbers had to be different/distinct/unique, so you CAN use duplicate numbers to save some time.

We're asked to find the MEDIAN of a group of 7 numbers. To do so, we need to arrange the numbers from least to greatest, then find the "4th" term.

Fact 1: 3 of the numbers are less than 10

Let's TEST VALUES:

IF the numbers are...
4 4 4 11 11 11 11
Then the median is 11

4 4 4 12 12 12 12
Then the median is 12
Fact 1 is INSUFFICIENT

Fact 2: 4 of the numbers are greater than 10

We can use the SAME TESTs that we used above...
Fact 2 is INSUFFICIENT

Combined, we can ALSO use the SAME TESTs from above.
Combined, INSUFFICIENT

Final Answer:
[Reveal] Spoiler:
E


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Re: What is the median of a certain set of 7 numbers?   [#permalink] 03 Jan 2015, 13:06
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