Quote:
Originally Posted by nuttyvarun
Each of the 45 boxes on shelf J weighs less than each of the 44 boxes on shelf K. What is the median weight of the 89 boxes on these shelves?
(1) The heaviest box on shelf J weighs 15 pounds. (2) The lightest box on shelf K weighs 20 pounds.
my answer doesn't match with the OA.. and I am not sure if the OA could be true.. share your thoughts..
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Quote:
Originally Posted by siddharthaduggirala
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Hey varun ...siddharth is absolutely correct ...there are no assumptions whatsoever ...
My attempt at explanation :
Median is the middle value of the set ...hence the median of 89 elements is the value corresponding to 45th element when arranged in a sequential manner ( ascending or descending, that does not matter ) ...
Now, it is pretty clear that each of the 45 boxes on shelf J weigh less than each of the 44 boxes on shelf K ...
Hence, sequence of 89 boxes would start from lightest box of shelf J to heaviest box on shelf K ...Hence middle value of the ordered set is the 45th box i.e the heaviest box of shelf J ....
Hence, St 1 is sufficient ...once we know the weight of heaviest box of shelf J, weight of all other boxes on shelf J become insignificant ..
It would not even matter if all of the boxes weigh equal or different ..
I hope this settles the doubt