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Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo

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Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

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New post 15 Dec 2018, 10:27
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

56% (00:54) correct 44% (00:57) wrong based on 47 sessions

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GMATbuster's Weekly Quant Quiz#13 Ques #10


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Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mode in this data set, which of the

following could be x?

I. 2
II.5
III. 7

A. I
B.II
C.III
D I, II
E.I, III

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Re: Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

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New post 15 Dec 2018, 10:48
Since it cannot be 5 ,coz if it did there will be 2 modes : 2 and 5 only remaining option will be 2 and 7
So answer is E

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Re: Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

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New post 16 Dec 2018, 10:19
Given set of data is 2, 5, 7, 11, 2, 5, 6, 2, x
By arranging the nos. we get 2, 2, 2, 5, 5, 6, 7, 11, x
if there is only one mode in this data set, then x can be 2,6,7,11 or any other number except 5
If x = 5, then there will be two modes 2, 5.

I. 2 II.5 III. 7

Hence Answer is E.I, III
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Re: Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

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New post 16 Dec 2018, 10:38
Mode the most frequently occurring number found in a set of numbers.
Here, the data set is 2, 5, 7, 11, 2, 5, 6, 2, x -> where 2 appears 3 times and 5 appears 2 times and rest all appears once. The question states that there is only one mode in this data set. Without looking at the options, we can say that mode has to be 2 because if x=2, then 2 will appear 4 times, which is maximum. If x=5, then both 2 and 5 would be 3 times and that is not possible as only one mode exists. Hence, x=2 and mode is 2. Option A
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Re: Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

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New post 16 Dec 2018, 23:31
x is 2 as set has 1 mode
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Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

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New post 22 Dec 2018, 02:47
topper97 wrote:
Mode the most frequently occurring number found in a set of numbers.
Here, the data set is 2, 5, 7, 11, 2, 5, 6, 2, x -> where 2 appears 3 times and 5 appears 2 times and rest all appears once. The question states that there is only one mode in this data set. Without looking at the options, we can say that mode has to be 2 because if x=2, then 2 will appear 4 times, which is maximum. If x=5, then both 2 and 5 would be 3 times and that is not possible as only one mode exists. Hence, x=2 and mode is 2. Option A


I thought the same, and then failed, like about 40% of people who have attempted this question so far.

If x=7, there will be 2 '7s' in the set, and there will still be only 1 mode, i.e 2.
The lesson is to not take any question lightly, no matter how easy it seems. :)
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Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo   [#permalink] 22 Dec 2018, 02:47
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