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.

• A. P
• B. Q
• C. P+Q
• D. $\frac{\text{P+Q}}{2}$

Answer 1

The correct option is D $\frac{\text{P+Q}}{2}$

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 $=\frac{\text{P+Q}}{2}$