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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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New post 20 Oct 2017, 01:14
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

54% (02:06) correct 46% (02:21) wrong based on 68 sessions

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[GMAT math practice question]

Attachment:
10.20.png
10.20.png [ 2.58 KiB | Viewed 821 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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Re: In the above table, scores and numbers of people are shown. If the med  [#permalink]

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New post 20 Oct 2017, 02:21
I don't seem to have any idea to this question. Appreciate the OE please.
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In the above table, scores and numbers of people are shown. If the med  [#permalink]

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New post Updated on: 20 Oct 2017, 02:38
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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

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

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New post 20 Oct 2017, 02:36
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?
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Re: In the above table, scores and numbers of people are shown. If the med  [#permalink]

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New post 22 Oct 2017, 21:21
=>
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.

Therefore, the answer is D.
Answer : D
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Re: In the above table, scores and numbers of people are shown. If the med &nbs [#permalink] 22 Oct 2017, 21:21
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