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Which of he following could be the median of the integers listed bello

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Joined: 23 Sep 2016
Posts: 213
Which of he following could be the median of the integers listed bello  [#permalink]

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26 Mar 2018, 22:00
00:00

Difficulty:

35% (medium)

Question Stats:

80% (01:27) correct 20% (01:34) wrong based on 20 sessions

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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
RC Moderator
Joined: 24 Aug 2016
Posts: 681
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
Re: Which of he following could be the median of the integers listed bello  [#permalink]

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27 Mar 2018, 06:30
1
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
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Please let me know if I am going in wrong direction.
Thanks in appreciation.

Re: Which of he following could be the median of the integers listed bello   [#permalink] 27 Mar 2018, 06:30
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