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For a list of positive numbers, if the median is greater than the aver
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Bunuel
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For a list of positive numbers, if the median is greater than the aver [#permalink] New post  26 May 2022, 00:30
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00:00
A
B
C
D
E

Difficulty:

75% (hard)

Question Stats:

23% (01:53) correct 77% (01:30) wrong based on 26 sessions

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For a list of positive numbers, if the median is greater than the average, which of the following must be true?

I. At least 50% of the numbers are smaller than the median.
II. Less than 50% of the numbers are greater than the median.
III. Median is greater than the average of the largest number and smallest number.

(A) I only
(B) II only
(C) III only
(D) I and III only
(E) None



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Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
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zhanbo
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Re: For a list of positive numbers, if the median is greater than the aver [#permalink] New post  26 May 2022, 03:56
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I. At least 50% of the numbers are smaller than the median.
Not necessarily. For example: 1, 5, 5, 5

II. Less than 50% of the numbers are greater than the median.
Not necessarily. For example: 1 2 3 3

III. Median is greater than the average of the largest number and smallest number.
Not necessarily. For example: 1 1 2 2 3

So the answer is (E).
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Re: For a list of positive numbers, if the median is greater than the aver [#permalink]
26 May 2022, 03:56
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