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The above table shows a set of scores and their frequencies. If the m

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Math Revolution GMAT Instructor
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The above table shows a set of scores and their frequencies. If the m  [#permalink]

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New post 17 Apr 2018, 02:10
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (02:22) correct 44% (01:59) wrong based on 44 sessions

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[GMAT math practice question]

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The above table shows a set of scores and their frequencies. If the median score is not one of the scores displayed in the table, which of the following could be the value of x?

A. 6
B. 7
C. 8
D. 9
E. 10

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Re: The above table shows a set of scores and their frequencies. If the m  [#permalink]

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New post 17 Apr 2018, 03:46
1
MathRevolution wrote:
[GMAT math practice question]

Attachment:
4.17.png


The above table shows a set of scores and their frequencies. If the median score is not one of the scores displayed in the table, which of the following could be the value of x?

A. 6
B. 7
C. 8
D. 9
E. 10


For the median to be not among the scores displayed, the median basically should be average of two numbers at the center.
For that to happen the total number of elements should be even. so options B and D are out.
Since the numbers above 12 are 17, if we have the number below and equal to 12 are 17, then the median will be the 17th + 18th divided by 2.
For that to happen the frequency of 12 should be 6. hence A is the right option.
For other options such as C and E, the median will be a number written in the table.
Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
Posts: 6398
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GPA: 3.82
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Re: The above table shows a set of scores and their frequencies. If the m  [#permalink]

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New post 19 Apr 2018, 02:48
=>

If \(x = 6\), the median is \(12.5\).
If\(x = 7, 8, 9,\) or \(10\), the median is \(12\).

Since \(12.5\) is not shown on the table, the answer is \(6\).

Therefore, the answer is A.

Answer: A
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Re: The above table shows a set of scores and their frequencies. If the m &nbs [#permalink] 19 Apr 2018, 02:48
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