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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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19 Feb 2017, 19:41
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Difficulty:

75% (hard)

Question Stats:

55% (02:51) correct 45% (02:41) wrong based on 74 sessions

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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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19 Feb 2017, 19:56
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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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19 Feb 2017, 22:52
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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08 Apr 2018, 05:16
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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, 05:16
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# There are 1,000 babies. 24 percent of the babies weigh at least 3.5kg,

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