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Median of their weights

This topic has 2 member replies
kulksnikhil Senior | Next Rank: 100 Posts Default Avatar
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Median of their weights

Post Mon Nov 27, 2006 3:47 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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?

    Answer could be 92

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    gmat_enthus Senior | Next Rank: 100 Posts Default Avatar
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    Post 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?

    Answer could be 92
    Let there be three ranges:
    w<100
    100<w<134
    134<w

    Let the total greater than 100 be x

    Given for greater than 100, 60% of them are greater than 134 =>
    100<w<134 = 0.4x
    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<w<134 -> 0.4x
    134<w -> 0.6x

    So the median will lie in the range x<100

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    kulksnikhil Senior | Next Rank: 100 Posts Default Avatar
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    Post 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

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