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Question

In an ordered set, half of them have values less than  P  and half of them have values greater than Q. Find the median of the set.
  1. P
  2. Q
  3. P+Q
  4. P+Q2


Solution

The correct option is D P+Q2
Let the no of elements in the set be 'x'.
Then the no of elements less than P and the no of elements greater than Q is x/2.
Here, x is even.
So, median is the average of the 2 middle elements.
Here, those 2 elements are P and Q.
So, median =P+Q2

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