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## Median of their weights

This topic has 2 member replies
kulksnikhil Senior | Next Rank: 100 Posts
Joined
23 May 2006
Posted:
58 messages
2

#### Median of their weights

Mon Nov 27, 2006 3:47 am
Question is not gramatically correct... but it is understandable..

500 birds, 75% is lighter than 134g. 60% of the birds heavier than 100g is heavier than 134g. What is the median of their weights?

Can anybody help me solve this?

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kulksnikhil Senior | Next Rank: 100 Posts
Joined
23 May 2006
Posted:
58 messages
2
Sat Dec 02, 2006 5:48 am
that's a great explaination.. thx... there were no options given.. probably could haev selected one of the options.. if available

gmat_enthus Senior | Next Rank: 100 Posts
Joined
18 Oct 2006
Posted:
62 messages
1
Mon Nov 27, 2006 7:12 am
kulksnikhil wrote:
Question is not gramatically correct... but it is understandable..

500 birds, 75% is lighter than 134g. 60% of the birds heavier than 100g is heavier than 134g. What is the median of their weights?

Can anybody help me solve this?

Let there be three ranges:
w<100
100 134
Let the total greater than 100 be x

Given for greater than 100, 60% of them are greater than 134 =>
100 w>134 = 0.6x

Let the total weights be T.
Given that 0.75% of T is less than 134 => 25% of T is > 134
=> 0.6x=0.25T => T=2.4x

In terms of x total weights = 2.4x. so the median will the weight at at 1.2x [approaximately]

In terms of x, the distribution is:
w<100 -> 1.4x
100 0.4x
134 0.6x

So the median will lie in the range x<100

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