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

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Manager
Joined: 23 Sep 2016
Posts: 231
Which of he following could be the median of the integers listed bello [#permalink]

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26 Mar 2018, 23:00
00:00

Difficulty:

35% (medium)

Question Stats:

53% (00:58) correct 47% (00:09) wrong based on 15 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
[Reveal] Spoiler: OA
Intern
Joined: 24 Aug 2016
Posts: 45
GMAT 1: 540 Q49 V16
GMAT 2: 640 Q47 V31
Re: Which of he following could be the median of the integers listed bello [#permalink]

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27 Mar 2018, 07:30
1
KUDOS
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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Thanks in appreciation.

Re: Which of he following could be the median of the integers listed bello   [#permalink] 27 Mar 2018, 07:30
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