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02 Feb 2017, 11:36
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
44% (01:19) correct
56%
(00:58)
wrong
based on 9
sessions
History
Date
Time
Result
Not Attempted Yet
If the mode of a set of 4 integers is greater than the mean of that set, which of the following must be true?
I. The mean of the set is greater than the mode of the set
II. The mode of the set is greater than the median of the set
III. The smallest member of the set is the median of the set
A. None
B. I only
C. II only
D. III only
E. II and III only
I. The mean of the set is greater than the mode of the set
II. The mode of the set is greater than the median of the set
III. The smallest member of the set is the median of the set
A. None
B. I only
C. II only
D. III only
E. II and III only
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Shruti0805
13 Feb 2017, 19:29
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Bunuel
Hi,
In order for the Mode to be > the mean, shouldn't the no. with the max frequency be greater than the rest ?
I selected the numbers in the set as {4,4,2,1} and thus the Mode = 4 and Mean = 11/4. Mode > Mean.
Now, utilizing this set, statement 1 is incorrect, statement 3 is incorrect and statement 2 is correct -- Median = (2+4)/2 that is 3 and thus the Mode > Median. Hence, C.
But the OA is A.
Could you please explain ? 
