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:- expertsglobal

Possible 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.