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Which of the following could be the value of x ?

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Intern
Joined: 16 Dec 2012
Posts: 12
GMAT 1: 710 Q50 V35
Which of the following could be the value of x ?  [#permalink]

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29 Jul 2018, 09:33
2
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:35) correct 37% (02:44) wrong based on 30 sessions

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Score :- a , a+1 , a+2 , a+3 , a+4
Frequency :- 8 , 12 , x , 16 , 7

Given Score and their respective frequency !! If none of the scores shown is the median, which of the following could be the value of x ?

A. 2
B. 3
C. 4
D. 6
E. 8

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Screen Shot 2018-07-29 at 10.56.24 PM.png [ 22.68 KiB | Viewed 405 times ]
Math Expert
Joined: 02 Aug 2009
Posts: 7037
Which of the following could be the value of x ?  [#permalink]

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29 Jul 2018, 17:37
2
2
Amankatyal wrote:
Score :- a , a+1 , a+2 , a+3 , a+4
Frequency :- 8 , 12 , x , 16 , 7

Given Score and their respective frequency !! If none of the scores shown is the median, which of the following could be the value of x ?

A. 2
B. 3
C. 4
D. 6
E. 8

Attachment:
Screen Shot 2018-07-29 at 10.56.24 PM.png

If the total number of events (that is total frequencies) is odd, the middle number will be the median, so median will be present in the set
But if the events are even, the median will be the average of two middle numbers and thus it will not be part of the set

# of frequencies = 8+12+16+7+X =33+x should be even as we do not want the median to be in the set
So X has to be odd..
Only B is odd and 3 fits in

B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Which of the following could be the value of x ? &nbs [#permalink] 29 Jul 2018, 17:37
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