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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7592
GMAT 1: 760 Q51 V42 GPA: 3.82
In the above table, scores and numbers of people are shown. If the med  [#permalink]

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10 00:00

Difficulty:   75% (hard)

Question Stats: 51% (02:08) correct 49% (02:20) wrong based on 101 sessions

### HideShow timer Statistics [GMAT math practice question]

Attachment: 10.20.png [ 2.58 KiB | Viewed 1306 times ]

In the above table, scores and numbers of people are shown. If the median score is not represented as the score shown on the table, which of the following scores can be the value of x?

A. 2
B. 3
C. 4
D. 5
E. 6

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Joined: 25 Feb 2013
Posts: 1197
Location: India
GPA: 3.82
In the above table, scores and numbers of people are shown. If the med  [#permalink]

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3
2
MathRevolution wrote:
[GMAT math practice question]

Attachment:
10.20.png

In the above table, scores and numbers of people are shown. If the median score is not represented as the score shown on the table, which of the following scores can be the value of x?

A. 2
B. 3
C. 4
D. 5
E. 6

Total number of people $$= 2+8+x+7+8=25+x$$

if $$x$$ is even the then total number of people will be ODD, hence the median will be the mid value. As it is mentioned that the median is not represented in the chart and mid value will be a number from the chart, so it implies that $$x$$ is not EVEN. So option A, C & E are out

so $$x$$ is either $$3$$ or $$5$$. if $$x$$ is $$3$$, then the total number will be $$25+3=28$$, hence the median will be mid value of 14th & 15th number. as 14th & 15th number in this case will be same $$(a+1)$$. Hence the median will be from the chart which is not possible.

So $$x=5$$

Option D

Originally posted by niks18 on 20 Oct 2017, 02:30.
Last edited by niks18 on 20 Oct 2017, 02:38, edited 1 time in total.
##### General Discussion
Intern  B
Joined: 29 May 2012
Posts: 34
Re: In the above table, scores and numbers of people are shown. If the med  [#permalink]

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I don't seem to have any idea to this question. Appreciate the OE please.
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1197
Location: India
GPA: 3.82
Re: In the above table, scores and numbers of people are shown. If the med  [#permalink]

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Paulli1982 wrote:
I don't seem to have any idea to this question. Appreciate the OE please.

Hi Paulli1982

Can you explain, what exactly you were not able to understand?
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7592
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: In the above table, scores and numbers of people are shown. If the med  [#permalink]

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=>
The sum of numbers for a+1 and a+2 is 15 = 7 + 8. If 2 + 8 + x = 15, we don’t have the median on the table.
Thus, 10 + x = 15 and we have x = 5.

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Intern  B
Joined: 10 May 2018
Posts: 28
Re: In the above table, scores and numbers of people are shown. If the med  [#permalink]

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I am not able to understand the question.Can someone help please Re: In the above table, scores and numbers of people are shown. If the med   [#permalink] 30 Dec 2018, 14:54
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