rishabhmishra wrote:
100,140, 180, 220, 260, n
Which of he following could be the median of the integers listed bellow?
I. 140
II. 160
III. 210
A. None
B. I only
C. II only
D. I and II only
E. II and III only.
source:-
expertsglobalPossible cases:
1. N before 100 ----- median is \(\frac{(140+180)}{2}\) = 160 i.e., \(\frac{(3rd +4th)}{2}\) Similarly,
2. N before 140 ----- median is \(\frac{(140+180)}{2}\) = 160
3. N before 180 ----- median is \(\frac{(n+180)}{2}\) = \(\frac{(180+n)}{2}\)
4. N before 220 ----- median is \(\frac{(180+n)}{2}\) = \(\frac{(180+n)}{2}\)
5. N before 260 ----- median is \(\frac{(180+220)}{2}\) = 200
6. N after 260 ----- median is \(\frac{(180+220)}{2}\) = 200
Hence ,
ans C
_________________
Please let me know if I am going in wrong direction.
Thanks in appreciation.