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Set S is comprised of 37 integers

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Bunuel
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Set S is comprised of 37 integers [#permalink] New post   29 Oct 2017, 04:07
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Set S is comprised of 37 integers

Quantity A
Quantity B
The median of Set S
The mean of the lowest and the highest term


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

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D
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IlCreatore
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Re: Set S is comprised of 37 integers [#permalink] New post   30 Oct 2017, 08:08
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If no information is available about the value of the integers in the set, we cannot draw conclusions about the relationship between mean and median. Indeed, if the integers are normally distributed, mean and median coincide; if not, mean and median can be reciprocally greater or lower than the other.

Answer D
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Re: Set S is comprised of 37 integers [#permalink] New post   18 Aug 2021, 07:32
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Bunuel wrote:
Set S is comprised of 37 integers

Quantity A
Quantity B
The median of Set S
The mean of the lowest and the highest term


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

Kudos for correct solution.


Let's examine 2 possible cases:

CASE 1:
Set S = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
Here, the median = 0, and the mean of the lowest and the highest term = (0+0)/2 = 0, in which case the two quantities are equal.

CASE 2:
Set S = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}
Here, the median = 0, and the mean of the lowest and the highest term = (0+1)/2 = 0.5, in which case the two quantities are NOT equal.

Answer: D
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Re: Set S is comprised of 37 integers [#permalink]
18 Aug 2021, 07:32
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