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In the above table, scores and frequencies are shown. If the median

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Intern
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In the above table, scores and frequencies are shown. If the median  [#permalink]

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New post 04 Jul 2017, 14:21
2
6
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A
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Difficulty:

  45% (medium)

Question Stats:

59% (01:41) correct 41% (02:09) wrong based on 80 sessions

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In the above table, scores and frequencies are shown. If the median score does not represent as the entry on the table, then which of the following scores can be the value of X.

A. 2
B. 3
C. 4
D. 6
E. 8

Attachment:
Score_Freq_GMAT.JPG
Score_Freq_GMAT.JPG [ 15.28 KiB | Viewed 1455 times ]


(PS. arithmetic, statistics, Q41-44 level) - Source: Math Revolution
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Re: In the above table, scores and frequencies are shown. If the median  [#permalink]

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New post 04 Jul 2017, 19:31
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ekniv wrote:
(PS. arithmetic, statistics, Q41-44 level) - Source: Math Revolution

------------------------------------------------------------
Score | a | a+1 | a+2 | a+3 | a+4 |
------------------------------------------------------------
Frequency | 8 | 12 | x | 16 | 7 |
------------------------------------------------------------

In the above table, scores and frequencies are shown. If the median score does not represent as the entry on the table, then which of the following scores can be the value of X.

A. 2
B. 3
C. 4
D. 6
E. 8

How do you get to the answer? I do not know how to this type of problem.

Thanks! :-D


An option check will be faster to calculate
where any even number leaves frequency an odd number thus any median will be the number exactly as listed in score
but a value of x when odd ,3 in this case will give u distinct median as of any listed number

try yourself!!
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Re: In the above table, scores and frequencies are shown. If the median  [#permalink]

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New post 05 Jul 2017, 08:07
1
Ans :B

Median not represent on table means sum of frequency is even. Sum of given frequencies is 43 odd therefore addition must be ODD

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Re: In the above table, scores and frequencies are shown. If the median  [#permalink]

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New post 05 Jul 2017, 09:20
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ekniv wrote:
Image
In the above table, scores and frequencies are shown. If the median score does not represent as the entry on the table, then which of the following scores can be the value of X.

A. 2
B. 3
C. 4
D. 6
E. 8

Attachment:
Score_Freq_GMAT.JPG


(PS. arithmetic, statistics, Q41-44 level) - Source: Math Revolution


We have a total of 8+12+x+16+7=43+x values

Now, if x is even, then the total number of values will be odd. When all the scores are arranged in ascending order, the middle term will be the median and it will be one of the score values.

But we are told that the median score is not among the values of the scores mentioned in the table. For this to be true, the number of terms will have to be even in which case the median is the average of the 2 middle score values.

For the number of terms to be even, x must be odd. Only answer choice B satisfies this constraint.

Hence answer B
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Re: In the above table, scores and frequencies are shown. If the median  [#permalink]

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New post 25 Mar 2019, 09:31
ekniv wrote:
Image
In the above table, scores and frequencies are shown. If the median score does not represent as the entry on the table, then which of the following scores can be the value of X.

A. 2
B. 3
C. 4
D. 6
E. 8

Attachment:
Score_Freq_GMAT.JPG


(PS. arithmetic, statistics, Q41-44 level) - Source: Math Revolution


To me, the above solutions are not clear. I would be glad if anyone would explain it elaborately.
GMAT Club Bot
Re: In the above table, scores and frequencies are shown. If the median   [#permalink] 25 Mar 2019, 09:31
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In the above table, scores and frequencies are shown. If the median

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