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median and mode

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Senior Manager
Senior Manager
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Joined: 21 Jan 2010
Posts: 329

Kudos [?]: 229 [0], given: 12

median and mode [#permalink]

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New post 12 Apr 2012, 19:04
In a set t, the average(arithmatic mean) is equal to the median,which of the following must be true?
1)set t consists of evenly spaced numbers.
2)set T consists of odd number of terms.
3)set T has no mode.
4)None of the above.

Answer Options:
1 only
1 and 2
2 and 3
2 and 4
4 only

The answer mentioned is 4 but i am getting 1 and 2. Can somebody explain?

Thanks
Vikram

Kudos [?]: 229 [0], given: 12

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Manager
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Joined: 03 Feb 2012
Posts: 55

Kudos [?]: 32 [0], given: 12

Location: United States (WI)
Concentration: Other
Schools: University of Wisconsin (Madison) - Class of 2014
GMAT 1: 680 Q46 V38
GMAT 2: 760 Q48 V46
GPA: 3.66
WE: Marketing (Manufacturing)
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Re: median and mode [#permalink]

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New post 12 Apr 2012, 19:20
Mean = Median
They're asking you to disprove each statement (i.e. find sets in which mean=median and the statement is also false).

Quote:
1)set t consists of evenly spaced numbers.


Possible, but not necessarily true.
t = {1,3,4,5,7} | Mean = 4 | Median = 4

Quote:
2)set T consists of odd number of terms.


Disprove.
t = {4,4} | Mean = 4 | Median = 4
t = {1,3,4,5,7} | Mean = 4 | Median = 4

Quote:
3)set T has no mode.


Disprove.
t = {4,4} | Mean = 4 | Median = 4 | Mode = 4
t = {1,3,4,5,7} | Mean = 4 | Median = 4 | no mode

Quote:
4)None of the above.


Only choice left.

Kudos [?]: 32 [0], given: 12

Re: median and mode   [#permalink] 12 Apr 2012, 19:20
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