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Set A = {3, 1, 7, 5, 11, x} If the median of Set A above is

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Set A = {3, 1, 7, 5, 11, x} If the median of Set A above is [#permalink] New post 07 Jun 2017, 01:47
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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: Set A = {3, 1, 7, 5, 11, x} If the median of Set A above is [#permalink] New post 25 Sep 2017, 06:30
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The set is 1 3 5 7 11 X. Then, we know that X is such that the median is one minus the mode of the set. My strategy is to do an easy substitution and check which of the choice is ok
- X = 3: median is 3+5/2 = 4 while the mode is 3, then the median is larger than the mode -> NO
- X = 5: median is 5+5/2 = 5 while the mode is 5, then the median is equal to the mode -> NO
- X = 6: median is 5+6/2 = 5.5. while the mode is whatever element of the set -> NO
- X = 7: median is 7+5/2 = 6 while the mode is 7. Then the median is one minus the mode. -> ANSWER D!
Intern
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Re: Set A = {3, 1, 7, 5, 11, x} If the median of Set A above is [#permalink] New post 26 Apr 2018, 12:44
how to calculate the mode for this set?can someone pleAse explain.thanks in advance.
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Re: Set A = {3, 1, 7, 5, 11, x} If the median of Set A above is [#permalink] New post 26 Apr 2018, 13:21
Expert's post
The numbers that occurs more times than any other value are the mode of a set of sata..

In this set having 7 two times the mode is seven and is one more of the median that is 6.

Hope this helps.

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Intern
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Joined: 28 Mar 2018
Posts: 21
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Kudos [?]: 4 [0], given: 11

Re: Set A = {3, 1, 7, 5, 11, x} If the median of Set A above is [#permalink] New post 26 Apr 2018, 14:26
thanks.got it.
Re: Set A = {3, 1, 7, 5, 11, x} If the median of Set A above is   [#permalink] 26 Apr 2018, 14:26
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Set A = {3, 1, 7, 5, 11, x} If the median of Set A above is

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