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Yesterday each of the 35 members of a certain task force

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Yesterday each of the 35 members of a certain task force [#permalink] New post 21 Oct 2009, 07:56
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

59% (02:25) correct 40% (01:08) wrong based on 89 sessions
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13996-medium.jpg [ 11.87 KiB | Viewed 4550 times ]

Yesterday each of the 35 members of a certain task force spent some time working on project P. The graph shows the number of hours and the number of members who spent that number of hours working on project P yesterday. What was the median number of hours that the members of the task force spent working on project P yesterday?

A. 2
B. 3
C. 4
D. 5
E. 6
[Reveal] Spoiler: OA
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Re: 35 members of a certain task force [#permalink] New post 21 Oct 2009, 09:12
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mendelay wrote:
Attachment:
13996-medium.jpg

Yesterday each of the 35 members of a certain task force spent some time working on project P. The graph shows the number of hours and the number of members who spent that number of hours working on project P yesterday. What was the median number of hours that the members of the task force spent working on project P yesterday?

A. 2
B. 3
C. 4
D. 5
E. 6


We have set consisting of 35 terms (terms=number of members): 9+4+1+2+1+8+10=35. Median of a set, with odd number of terms, would be the middle term, so 18th term. Values of terms: 9 terms=1, 4 terms=2, 1 term=3, 2 terms=4 , 1 term=5, 8 terms=6 and 10 terms=7 --> 18th term is 6.

To illustrate:
1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7.

Answer: E.
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Re: 35 members of a certain task force [#permalink] New post 30 Aug 2010, 15:53
IMO E
as always, went the long way

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7.
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Re: Yesterday each of the 35 members of a certain task force [#permalink] New post 18 Jun 2013, 00:40
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Bumping for review and further discussion*. Get a kudos point for an alternative solution!

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Re: Yesterday each of the 35 members of a certain task force [#permalink] New post 21 Sep 2013, 14:49
A little unorthodox approach, but so far it has worked for these types of problems. I set up the number of people that worked that many hours in a number line:

9 - 4 - 1 - 2 - 1 - 8 - 10

As Bunuel said we have 35 terms so the middle, 18th term, will be the median.

I then start crossing off from either end until I find the "1" remaining:

9 4 1 2 1 8 10
0 4 1 2 1 8 1
0 3 1 2 1 8 0
0 0 1 2 1 5 0
0 0 0 2 1 4 0
0 0 0 0 1 2 0
0 0 0 0 0 1 0 - Therefore it's the sixth term, in this case "6 hours"....hope it makes sense, just a minor shortcut over writing out all 35 terms.
Re: Yesterday each of the 35 members of a certain task force   [#permalink] 21 Sep 2013, 14:49
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