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Yesterday each of the 35 members of a certain task force spent some ti [#permalink]

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29 Mar 2009, 10:05

5

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A

B

C

D

E

Difficulty:

45% (medium)

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66% (02:14) correct
34% (01:43) wrong based on 115 sessions

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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?

Re: Yesterday each of the 35 members of a certain task force spent some ti [#permalink]

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03 Apr 2009, 02:31

E. 6

Since I so recently taught middle school, I took a basic approach. I listed 1 nine times, 2 four times, 3 one time, 4 two times, 5 one time, 6 eight times, and 7 ten times. You can then see that 6 is the middle number.

However, you didn't even have to list them all. You can see that the 18th number will be the middle number, so you could stop with the first 6.

Re: Yesterday each of the 35 members of a certain task force spent some ti [#permalink]

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17 Apr 2009, 20:22

thegr81 wrote:

tenaman10 wrote:

pls discuss !!

E - 6... for the first... for reasons explained above B - 1/6... for the second

assume mean of 20 nos as x. So n=4x. sum of 21 nos is 20x + 4x = 24x

n/24x = 20x/24x = 1/6

i agree with b for the second question. i solved by picking numbers. to make it easy i used 1-20 for the first 20 numbers. given that, n came out to be 42. then i took n/sum of all the numbers, including n (sum of consecutive numbers is avg (middle number) * # of terms).

Can someone please explain the solution ? I'm not getting it at all

update : I got it . Never mind

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.

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