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26 May 2017, 04:47
Kudos
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There are 1,000 babies. 24 percent of the babies weigh at least 3.5kg, and 60 percent of the babies that are heavier than 2.6kg weigh at least 3.5kg. Which of the following can be the median weight of the 1,000 babies?
A. 2.4kg
B. 2.8kg
C. 2.9kg
D. 3.5kg
E. 3.6kg
A. 2.4kg
B. 2.8kg
C. 2.9kg
D. 3.5kg
E. 3.6kg
26 May 2017, 04:48
Kudos
Bookmarks
Official Solution:
There are 1,000 babies. 24 percent of the babies weigh at least 3.5kg, and 60 percent of the babies that are heavier than 2.6kg weigh at least 3.5kg. Which of the following can be the median weight of the 1,000 babies?
A. 2.4kg
B. 2.8kg
C. 2.9kg
D. 3.5kg
E. 3.6kg
First of all, a median is positioned in the 50% when all numbers are arranged in an ascending order. If you make this question into a diagram,
24% of the total 1000 babies weigh at least 3.5 kg, so babies that weigh less than 3.5kg is 76%. However, among the babies that weigh more than 2.6, at least 60% weigh 3.5, so you get the results as shown below.
However, if you draw this on the previous diagram, among 60% of the babies who weigh more than 2.6kg weigh 3.5kg, so if you look at all the babies, you get, from x% : 40% = 24%:60%, x=16. In other words, 16% of the babies weigh more than 2.6kg and less than 3.5kg, and 60% of the babies weigh less than 2.6kg.
As shown in the diagram above, it is 60% because it becomes the total of 100%. Also, since the median exists in the 50’s (%), you get median
Answer: A
There are 1,000 babies. 24 percent of the babies weigh at least 3.5kg, and 60 percent of the babies that are heavier than 2.6kg weigh at least 3.5kg. Which of the following can be the median weight of the 1,000 babies?
A. 2.4kg
B. 2.8kg
C. 2.9kg
D. 3.5kg
E. 3.6kg
First of all, a median is positioned in the 50% when all numbers are arranged in an ascending order. If you make this question into a diagram,
24% of the total 1000 babies weigh at least 3.5 kg, so babies that weigh less than 3.5kg is 76%. However, among the babies that weigh more than 2.6, at least 60% weigh 3.5, so you get the results as shown below.
However, if you draw this on the previous diagram, among 60% of the babies who weigh more than 2.6kg weigh 3.5kg, so if you look at all the babies, you get, from x% : 40% = 24%:60%, x=16. In other words, 16% of the babies weigh more than 2.6kg and less than 3.5kg, and 60% of the babies weigh less than 2.6kg.
As shown in the diagram above, it is 60% because it becomes the total of 100%. Also, since the median exists in the 50’s (%), you get median
Answer: A
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