jayhawk2001 wrote:Cybermusings wrote:Set of 15 different integers has a median of 25 and a range of 25. What could be the value of the greatest integer that could be in this set
1) 32
2) 37
3) 40
4) 43
5) 50
OA after few replies
I always fall for this kind of question. Ok, here goes...
Since the set is not sorted or not composed of consecutive integers,
the median can technically be the least integer in the set.
So, the highest integer is 25 + 25 (range) = 50.
e.g.
26, 27, 28, 29, 30, 31, 32, 25, 33, 34, 35, 36, 37, 38, 50
So, E?
OA please
The definition of median goes like this: -
The middle value in a set of numbers arranged in increasing order. If there is an even number of values, then median is the average of the middle two values. For example: The median of the set {10, 12, 14, 19, 20} is 14. The median of the set {2, 3, 4, 6, 8, 9} is 5, which is the average of 4 and 6.
So 25 has to be middle value with 7 integers having less and 7 having more value.
Suppose we take the set like:-
18,19,20,21,22,23,24,25 Then the highest possible value can be 18+25 (lowest +range) = 43.
Now 50 can't be the answer because for 50 to be the answer, set has to take the following form: -
25,25,25,25,25,25,25,25,...50 - because lowest value has to be 25. (lowest +range) i.e. 25+25 = 50. But it is given that all the integers are different, so I think the answer is 43.
What is OA?
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