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In the above table, scores and numbers of people are shown. If the med

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Math Revolution GMAT Instructor
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In the above table, scores and numbers of people are shown. If the med [#permalink]

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20 Oct 2017, 00:14
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55% (hard)

Question Stats:

59% (01:28) correct 41% (01:34) wrong based on 51 sessions

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[GMAT math practice question]

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10.20.png [ 2.58 KiB | Viewed 509 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
[Reveal] Spoiler: OA

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Re: In the above table, scores and numbers of people are shown. If the med [#permalink]

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20 Oct 2017, 01:21
I don't seem to have any idea to this question. Appreciate the OE please.

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Director
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In the above table, scores and numbers of people are shown. If the med [#permalink]

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20 Oct 2017, 01:30
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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

Last edited by niks18 on 20 Oct 2017, 01:38, edited 1 time in total.

Kudos [?]: 305 [2], given: 39

Director
Joined: 25 Feb 2013
Posts: 619

Kudos [?]: 305 [0], given: 39

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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20 Oct 2017, 01:36
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?

Kudos [?]: 305 [0], given: 39

Math Revolution GMAT Instructor
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Re: In the above table, scores and numbers of people are shown. If the med [#permalink]

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22 Oct 2017, 20:21
=>
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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Re: In the above table, scores and numbers of people are shown. If the med   [#permalink] 22 Oct 2017, 20:21
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