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
Median of their weights
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Let there be three ranges: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
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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that's a great explaination.. thx... there were no options given.. probably could haev selected one of the options.. if available