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Which of the following could be the value of x ?

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Intern
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B
Joined: 16 Dec 2012
Posts: 10
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Which of the following could be the value of x ?  [#permalink]

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New post 29 Jul 2018, 10:33
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  45% (medium)

Question Stats:

59% (01:23) correct 41% (02:38) wrong based on 22 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


Attachment:
Screen Shot 2018-07-29 at 10.56.24 PM.png
Screen Shot 2018-07-29 at 10.56.24 PM.png [ 22.68 KiB | Viewed 244 times ]
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Which of the following could be the value of x ?  [#permalink]

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New post 29 Jul 2018, 18:37
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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
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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, 18:37
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