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If the median of the numbers in list I above is equal to the

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If the median of the numbers in list I above is equal to the [#permalink]

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List I: 3, 6, 8, 19
List II: x, 3, 6, 8, 19

If the median of the numbers in list I above is equal to the median of the numbers in list II above, what is the value of x?

(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
[Reveal] Spoiler: OA
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Re: If the median of the numbers in list I above is equal to the [#permalink]

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New post 13 Dec 2012, 10:06
Expert's post
Walkabout wrote:
List I: 3, 6, 8, 19
List II: x, 3, 6, 8, 19

If the median of the numbers in list I above is equal to the median of the numbers in list II above, what is the value of x?

(A) 6
(B) 7
(C) 8
(D) 9
(E) 10


List I has even number of terms, thus its median is the average of two middle terms (when arranged in ascending/descending order), so median=(6+8)/2=7.

List II has odd number of terms, thus its median is the middle term (when arranged in ascending/descending order). As no other number in the list equal to 7, then x=7.

Answer: B.
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Re: If the median of the numbers in list I above is equal to the [#permalink]

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New post 12 Sep 2014, 06:32
Walkabout wrote:
List I: 3, 6, 8, 19
List II: x, 3, 6, 8, 19

If the median of the numbers in list I above is equal to the median of the numbers in list II above, what is the value of x?

(A) 6
(B) 7
(C) 8
(D) 9
(E) 10




median of first set = 6+8 = 14/2 =7

since 2nd set has 5 values, middle value should be median. so x should be 7
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If the median of the numbers in list I above is equal to the [#permalink]

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New post 30 Sep 2014, 22:06
Median of List I = 7

List II I exactly list I with the addition of "x"

Median of List I = Median of List II

So, x = 7

Answer = B
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Re: If the median of the numbers in list I above is equal to the [#permalink]

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Re: If the median of the numbers in list I above is equal to the [#permalink]

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New post 25 May 2016, 22:27
Attached is a visual that should help
Attachments

Screen Shot 2016-05-25 at 9.41.48 PM.png
Screen Shot 2016-05-25 at 9.41.48 PM.png [ 96.51 KiB | Viewed 351 times ]

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Re: If the median of the numbers in list I above is equal to the [#permalink]

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New post 16 Jun 2016, 05:58
Walkabout wrote:
List I: 3, 6, 8, 19
List II: x, 3, 6, 8, 19

If the median of the numbers in list I above is equal to the median of the numbers in list II above, what is the value of x?

(A) 6
(B) 7
(C) 8
(D) 9
(E) 10


We start by calculating the median of the numbers of list I: 3, 6, 8, 19. We see that the numbers in the list are in order already and, since we have an even number of numbers, the median is the average of the two middle numbers.

median = (6 + 8)/2

median = 14/2

median = 7

The median of list I is 7.

Looking at list II: x, 3, 6, 8, 19, we see that we have an odd number of terms. Thus, when the list is ordered from least to greatest the median must be the middle term. Since the medians of the two lists must be equal, we know that the median of list II must be 7 and therefore x is 7.

The answer is B.
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Re: If the median of the numbers in list I above is equal to the   [#permalink] 16 Jun 2016, 05:58
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