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# List Q contains 3 elements. What is the median of list Q ? (1) The mea

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List Q contains 3 elements. What is the median of list Q ? (1) The mea  [#permalink]

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05 Mar 2019, 05:19
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35% (medium)

Question Stats:

55% (00:54) correct 45% (01:13) wrong based on 71 sessions

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List Q contains 3 elements. What is the median of list Q ?

(1) The mean of list Q is 7.
(2) The mode of list Q is 5.

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Joined: 26 Nov 2017
Posts: 3
List Q contains 3 elements. What is the median of list Q ? (1) The mea  [#permalink]

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05 Mar 2019, 08:39
Bunuel what ya think?

Statement 1:

Mean is 7. which means the set could be (0,0,21), (1,10,10). Since there is more than 1 possibility Statement 1 is not sufficient

Statement 2:

Mode is 5. The number 5, in this 3 number set, should be repeated at least twice like (x,5,5) or (5,5,x) or (5,x,5). Statement 2 is not sufficient as well.
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List Q contains 3 elements. What is the median of list Q ? (1) The mea  [#permalink]

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05 Mar 2019, 09:11
1
Vasa056 wrote:
Bunuel what ya think?

Statement 1:

Mean is 7. which means the set could be (0,0,21), (1,10,10). Since there is more than 1 possibility Statement 1 is not sufficient

Statement 2:

Mode is 5. The number 5, in this 3 number set, should be repeated at least twice like (x,5,5) or (5,5,x) or (5,x,5). Statement 2 is not sufficient as well.

In statement 1 your inference that the set might be (0,0,21) is wrong... If you include 0 then the set will have only one element i.e 21... Statement 1 is not sufficient.. the set may be of (7,7,7) or (1,10,10).

In statement 2... (5,x,5) won't hold....
If the mode is 5... Either all the three elements are 5 or atleast 2 of them...If you mean to say that (5,x,5) is the case where X can be either greater than 5 or less than 5. Probably you are wrong...

Take for example X= 8...
You order the elements from smaller to bigger when you find Median.. with that (5,5,8) is possible giving 5 as median...
If X= 3.
Then (3,5,5) will be the case.. . In either of the case you will get median as 5. Statement b is sufficient to answer the question.

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Re: List Q contains 3 elements. What is the median of list Q ? (1) The mea  [#permalink]

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05 Mar 2019, 09:27
2
Bunuel wrote:
List Q contains 3 elements. What is the median of list Q ?

(1) The mean of list Q is 7.
(2) The mode of list Q is 5.

(1) The mean of list Q is 7. Let list Q consist of {a,b,c}. This means that a+b+c =21. a,b, and c can be any 3 numbers that add to 21 NS

(2) The mode is 5. Since the mode is 5, the number five must occur at least twice. So, our set Q is either {a,5,5} or {5,5,5}. If Q consists of all 5's then our median is 5. Suppose that we have two 5's in our set. Suppose a <5, for example 4.9. then our set is {4.9,5,5} and our median is 5. Let a >5 such as 5.1. Then our set is |{5,5,5.1} and our median is still 5. Sufficient. Answer is B
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Re: List Q contains 3 elements. What is the median of list Q ? (1) The mea  [#permalink]

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05 Mar 2019, 11:55
Bunuel wrote:
List Q contains 3 elements. What is the median of list Q ?

(1) The mean of list Q is 7.
(2) The mode of list Q is 5.

#1
insufficient
#2
sufficeint ; set can be ( 3,5,5 ) , ( 0,5,5), ( 5,5,8)
median of set can be determined
IMO B
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Re: List Q contains 3 elements. What is the median of list Q ? (1) The mea  [#permalink]

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18 Mar 2019, 07:37
Also in assymetrical distribution - Median = 1/3(Mode + 2*Mean)

Isn't it?
Re: List Q contains 3 elements. What is the median of list Q ? (1) The mea   [#permalink] 18 Mar 2019, 07:37
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