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Set A arranged in ascending order of the values:

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Carcass
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Set A arranged in ascending order of the values: [#permalink] New post   30 Sep 2021, 02:52
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Set A = {-10, -7, -5, x, -2, 0, 2, 14}

Set A arranged in ascending order of the values.


Quantity A
Quantity B
Mean of Set A
Median of Set A



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Source: manhattanreview
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A
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koala
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Re: Set A arranged in ascending order of the values: [#permalink] New post   30 Sep 2021, 05:19
How can the answer be A ?
e.g.
The numbers are 1,2,3 mean = 2 & median=2 QA = QB
Then another set could be 4,5,7 mean=16/3 & median =5 QA >QB
The correct answer should be D.
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Re: Set A arranged in ascending order of the values: [#permalink] New post   30 Sep 2021, 08:22
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Carcass

Is something missing in the question? Set A detail?
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Re: Set A arranged in ascending order of the values: [#permalink] New post   30 Sep 2021, 09:30
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rx10 wrote:
Carcass

Is something missing in the question? Set A detail?


See now GreenlightTestPrep rx10

Brent fixed it, kindly
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Re: Set A arranged in ascending order of the values: [#permalink] New post   02 Oct 2021, 05:07
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The Median of an even set of numbers is going to be the mean of 2 numbers in the middle so this median=(x-2)/2 and the mean is going to be (-6+X)/8 so by taking the possible values of X at the extremes (-2 and -5) we can compare the two quantities.

Possible values of X=-2
Median= -2
Mean= -1
Possible values of X=-5
Median= -7/2 =-3.5
Mean= -11/8 =-1.375
Since in both cases the Mean is greater than the median correct choice is A
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Re: Set A arranged in ascending order of the values: [#permalink] New post   19 Dec 2024, 20:24
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Jose123 wrote:
The Median of an even set of numbers is going to be the mean of 2 numbers in the middle so this median=(x-2)/2 and the mean is going to be (-6+X)/8 so by taking the possible values of X at the extremes (-2 and -5) we can compare the two quantities.

Possible values of X=-2
Median= -2
Mean= -1
Possible values of X=-5
Median= -7/2 =-3.5
Mean= -11/8 =-1.375
Since in both cases the Mean is greater than the median correct choice is A


Your solution is great. however, a minor error--the mean would actually be (-8+X)/8
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gmatclubot
Re: Set A arranged in ascending order of the values: [#permalink]
19 Dec 2024, 20:24
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