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19 Oct 2005, 10:48
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Each of the 45 boxes on shelf J weighs less than each of the 44 boxes on shelf K. what is the Median wt of the 89 boxes on these shelves?
1)heaviest box on shelf j weighs 15 pounds
2)lightest box on shelf K weighs 20 pounds.
1)heaviest box on shelf j weighs 15 pounds
2)lightest box on shelf K weighs 20 pounds.
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19 Oct 2005, 11:26
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I pick A.
1. suff. We have 89 boxes, so the 45 heaviest box (or lighest) will be the median. We are giving that info here. Even if every box weighed the same on shelf J, we know all the rest of shelf K boxes are larger in weight. Therefore the median weight is 15lbs.
2. insuff. 89 boxes, we want to know the 45th weight value. We are told what the 46th value is, but have no clue as to what the 45th value is. For instance, we know that the 46th value is 20lbs. All we know is that the 45th value is lighter, so it could be 15, 16, 17, 10, 5, etc.
OA?
1. suff. We have 89 boxes, so the 45 heaviest box (or lighest) will be the median. We are giving that info here. Even if every box weighed the same on shelf J, we know all the rest of shelf K boxes are larger in weight. Therefore the median weight is 15lbs.
2. insuff. 89 boxes, we want to know the 45th weight value. We are told what the 46th value is, but have no clue as to what the 45th value is. For instance, we know that the 46th value is 20lbs. All we know is that the 45th value is lighter, so it could be 15, 16, 17, 10, 5, etc.
OA?
19 Oct 2005, 12:13
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I agree the answer is A
you want to know the median so for example if J had 2 boxes and K had 1 box and each of j's box is less than k's box. therefore you want to know the middle number in sequence. so if the largest box weights 15lbs then that is the median. knowing the weight of k does not matter.
you want to know the median so for example if J had 2 boxes and K had 1 box and each of j's box is less than k's box. therefore you want to know the middle number in sequence. so if the largest box weights 15lbs then that is the median. knowing the weight of k does not matter.
but A is definitely good for me now 
