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For which of the following lists of 5 numbers is the median

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Carcass
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For which of the following lists of 5 numbers is the median [#permalink] New post   26 Oct 2020, 02:15
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For which of the following lists of 5 numbers is the median (arithmetic mean) greater than the mode?


Indicate all such lists.

A. 1, 1, 3, 4, 5

B. 1, 2, 3, 6, 6

C. 1, 3, 3, 4, 5

D. 2, 2, 3, 4, 5

E. 1, 2, 3, 4, 4

F. 1, 1, 3, 3, 3


Source: 320 GRE Math Questions
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A,D
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GlobalNomad13
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Re: For which of the following lists of 5 numbers is the median [#permalink] New post   26 Oct 2020, 15:38
This is a terribly poorly worded question. The median and arithmetic mean are 2 completely different things. Please don't confuse median and average.
Please correct!
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Re: For which of the following lists of 5 numbers is the median [#permalink] New post   26 Oct 2020, 18:39
If the question asks which list has mean> mode, the answer should be A,C and D right?
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Re: For which of the following lists of 5 numbers is the median [#permalink] New post   27 Oct 2020, 01:37
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Only for A and B the median > the mode

The median is the middle value, so first I'll have to rewrite the list in numerical order

The mode is the number that is repeated more often than any other

In A and D 3 (median of the number series),> the number repeated = 2


More on this in our quant book https://gre.myprepclub.com/forum/gre-quant ... tml#p53777

The question itself is not worded wrongly

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Re: For which of the following lists of 5 numbers is the median [#permalink] New post   27 Oct 2020, 08:14
My point is: what does median (arithmetic mean) mean? I don't understand why do you put (arithmetic mean) here.
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Re: For which of the following lists of 5 numbers is the median [#permalink] New post   27 Oct 2020, 14:14
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My mistake. The user above is right. Totally. My excuses

The question reads "For which of the following lists of 5 numbers is the MEDIAN (arithmetic mean) greater than the mode?"
This is incorrect.
I think the author meant to write: "For which of the following lists of 5 numbers is the AVERAGE (arithmetic mean) greater than the mode?
If you change MEDIAN to AVERAGE, then the correct answer will be A & D
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Re: For which of the following lists of 5 numbers is the median [#permalink] New post   14 Feb 2021, 09:07
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Carcass wrote:
My mistake. The user above is right. Totally. My excuses

The question reads "For which of the following lists of 5 numbers is the MEDIAN (arithmetic mean) greater than the mode?"
This is incorrect.
I think the author meant to write: "For which of the following lists of 5 numbers is the AVERAGE (arithmetic mean) greater than the mode?
If you change MEDIAN to AVERAGE, then the correct answer will be A & D



As well as C

Avg=(1+3+3+4+5)/5=16/5=3.2
Thus Avg(3.2)> Mode(3)

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