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There are 1,000 babies. 24 percent of the babies weigh at least 3.5kg,

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There are 1,000 babies. 24 percent of the babies weigh at least 3.5kg,  [#permalink]

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New post 19 Feb 2017, 20:41
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There are \(1,000\) babies. \(24\) percent of the babies weigh at least \(3.5\) kg, and \(60\) percent of the babies that are heavier than \(2.6\) kg weigh at least \(3.5\) kg. Which of the following can be the median weight of the \(1,000\) babies?

A. \(2.4\) kg   
B. \(2.8\) kg   
C. \(2.9\) kg     
D. \(3.5\) kg     
E. \(3.6\) kg

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Re: There are 1,000 babies. 24 percent of the babies weigh at least 3.5kg,  [#permalink]

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New post 19 Feb 2017, 20:56
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ziyuenlau wrote:
There are \(1,000\) babies. \(24\) percent of the babies weigh at least \(3.5\) kg, and \(60\) percent of the babies that are heavier than \(2.6\) kg weigh at least \(3.5\) kg. Which of the following can be the median weight of the \(1,000\) babies?

A. \(2.4\) kg   
B. \(2.8\) kg   
C. \(2.9\) kg     
D. \(3.5\) kg     
E. \(3.6\) kg


Hi..

1000 babies, so 24% or 240 weigh EQUAL to or more than 3.5 kgs.
GIVEN that 60% of those above 2.6 kg are more than 3.5kg but we know 240 are ATLEAST 3.5kg..

Thus 60% of above 2.6kg are 240 OR
Total above 2.6 kg =\(\frac{240*100}{60}\)=40%..

So now we know 40% are above 2.6 kg and 60% below 2.6 kg..
Since max are below 2.6, the median will also be <2.6..
ONLY 2.4 is valid..

A
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There are 1,000 babies. 24 percent of the babies weigh at least 3.5kg,  [#permalink]

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New post 19 Feb 2017, 23:52
ziyuenlau wrote:
There are \(1,000\) babies. \(24\) percent of the babies weigh at least \(3.5\) kg, and \(60\) percent of the babies that are heavier than \(2.6\) kg weigh at least \(3.5\) kg. Which of the following can be the median weight of the \(1,000\) babies?

A. \(2.4\) kg   
B. \(2.8\) kg   
C. \(2.9\) kg     
D. \(3.5\) kg     
E. \(3.6\) kg


to find the median e need to get 500th, 501th baby wt.
1000 babies --total
24% are more than 3.5 --240 babies
now in question stem , it is given
60% of babies weighing more than 2.6 = 240
so babies weighing more than 2.6 = 400
(below 2.6) (above 2.6)
1-----------------------------------------------------600--------------------------------1000
only option fit this criteria is :2.4
hence A
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Re: There are 1,000 babies. 24 percent of the babies weigh at least 3.5kg,  [#permalink]

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New post 08 Apr 2018, 06:16
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Re: There are 1,000 babies. 24 percent of the babies weigh at least 3.5kg, &nbs [#permalink] 08 Apr 2018, 06:16
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