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# Another one that I'm stuck with. Five pieces of wood have an

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Intern
Joined: 11 Jul 2007
Posts: 24

Kudos [?]: 1 [0], given: 0

Another one that I'm stuck with. Five pieces of wood have an [#permalink]

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03 Dec 2007, 15:33
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Another one that I'm stuck with.

Five pieces of wood have an average length of 124 centimeters and a median length of 140 centimeters. What is the maximum possible length, in centimeters, of the shortest piece of wood?

90
100
110
130
140

I have no clue on how to approach this question. arghhh

Kudos [?]: 1 [0], given: 0

SVP
Joined: 29 Aug 2007
Posts: 2472

Kudos [?]: 843 [0], given: 19

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03 Dec 2007, 15:37
Another one that I'm stuck with.

Five pieces of wood have an average length of 124 centimeters and a median length of 140 centimeters. What is the maximum possible length, in centimeters, of the shortest piece of wood?

90
100
110
130
140

I have no clue on how to approach this question. arghhh

= [(124x5) - (140x3)]/2
= 100

Kudos [?]: 843 [0], given: 19

CEO
Joined: 29 Mar 2007
Posts: 2554

Kudos [?]: 513 [0], given: 0

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03 Dec 2007, 23:29
Another one that I'm stuck with.

Five pieces of wood have an average length of 124 centimeters and a median length of 140 centimeters. What is the maximum possible length, in centimeters, of the shortest piece of wood?

90
100
110
130
140

I have no clue on how to approach this question. arghhh

S/5=124 --> 620 is the total length of all 5 pieces.

Maximum length of the shortest piece is when everything above median is 140.

so 3*140= 420. 620-420= 200. So we have 100 and 100. That is the MAXIMUM length of the SHORTEST piece.

I caps this one b/c when i did this question a while back I messed up b/c of that.

Ans B

Kudos [?]: 513 [0], given: 0

Manager
Joined: 11 Aug 2007
Posts: 64

Kudos [?]: 19 [0], given: 0

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04 Dec 2007, 11:00
Another one that I'm stuck with.

Five pieces of wood have an average length of 124 centimeters and a median length of 140 centimeters. What is the maximum possible length, in centimeters, of the shortest piece of wood?

90
100
110
130
140

I have no clue on how to approach this question. arghhh

yeap, it's B. The maximum of the shortest means that all others have to have the minimum possibhan mele lenght.

We have smth like this: x1 x2 140 x4 x5. So, the minimum possible lenght of x4 and x5 is 140 (since they could not be less than median). Now we have x1 x2 140 140 140 which add up to 124*5=620. or x1+x2=620-140-140-140=200. The only max.possible length of the shortest is 100

Kudos [?]: 19 [0], given: 0

Re: mean and median   [#permalink] 04 Dec 2007, 11:00
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