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# If the median of Set A above is one less than the mode of Set A, which

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Math Expert
Joined: 02 Sep 2009
Posts: 61283
If the median of Set A above is one less than the mode of Set A, which  [#permalink]

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27 Feb 2019, 22:38
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Difficulty:

35% (medium)

Question Stats:

67% (01:39) correct 33% (01:44) wrong based on 27 sessions

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Set A = {3, 1, 7, 5, 11, x}
If the median of Set A above is one less than the mode of Set A, which of the following is a possible value of x ?

A. 3
B. 5
C. 6
D. 7
E. 9

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Re: If the median of Set A above is one less than the mode of Set A, which  [#permalink]

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28 Feb 2019, 04:43
Bunuel wrote:
Set A = {3, 1, 7, 5, 11, x}
If the median of Set A above is one less than the mode of Set A, which of the following is a possible value of x ?

A. 3
B. 5
C. 6
D. 7
E. 9

avg of set = 27+x/6
now mode of set is most repeated term of set
here options can be 3,5,7 only
upon checking with all these options only at 7 we get median = ~ 5.6 ; 6 which is 1 less than mode 7
IMO D
Re: If the median of Set A above is one less than the mode of Set A, which   [#permalink] 28 Feb 2019, 04:43
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