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Which of the following numbers is lower than the median but

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Which of the following numbers is lower than the median but  [#permalink]

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New post 05 Nov 2012, 14:16
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A
B
C
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Question Stats:

92% (01:50) correct 8% (01:35) wrong based on 71 sessions

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55, 62, 58, 10, 56, 5, 10

Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?

A 20
B 31
C 48
D 55
E 57

CAn the problem be solved without calculating mean, using approximation pls explain the logic?
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Re: Which of the following numbers is lower than the median but  [#permalink]

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New post 06 Nov 2012, 00:42
5
Archit143 wrote:
55, 62, 58, 10, 56, 5, 10

Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?

A 20
B 31
C 48
D 55
E 57

CAn the problem be solved without calculating mean, using approximation pls explain the logic?


Yes, it can be solved with observation even without approximation in 30 sec.

Just observe given numbers: 5,10 ,10,55, 56, 58,62,
Median is very easy to tell - its 55. Now we want a number lower than 55 and greater than mean. How many numbers are lower than 55? D & E are already out.
Now, we have 20, 31 and 48 and we want a number among these which is greater than mean. logically whatever be the mean, if one value out of these 5 has to be greater than mean it has to be 48. (Notice, if 20 is more than mean then 48 is also. If 31 is more than mean, 48 is also. )

Hence C it is!
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Re: Which of the following numbers is lower than the median but  [#permalink]

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New post 05 Nov 2012, 16:07
no.. i think the question is testing how quick you'd be at rearranging the set and determining the mean and median...
- median is the middle number = 55 (after rearranging in ascending order, its obvious)
- mean is a little longer; but still just adding 7 numbers and dividing by 7

sum of set = 256

256/7 = 36.xxx (you can stop your long division once you realise there is only one answer choice less than 55 and greater than 36)
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Re: Which of the following numbers is lower than the median but  [#permalink]

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New post 05 Nov 2012, 17:41
essarr wrote:
no.. i think the question is testing how quick you'd be at rearranging the set and determining the mean and median...
- median is the middle number = 55 (after rearranging in ascending order, its obvious)
- mean is a little longer; but still just adding 7 numbers and dividing by 7

sum of set = 256

256/7 = 36.xxx (you can stop your long division once you realise there is only one answer choice less than 55 and greater than 36)



I did the same but while going thru the review it mentioned of some generalization.
I was looking for the same , i dont remem exactly wat it was.
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Re: Which of the following numbers is lower than the median but  [#permalink]

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New post 05 Nov 2012, 18:25
Archit143 wrote:
essarr wrote:
no.. i think the question is testing how quick you'd be at rearranging the set and determining the mean and median...
- median is the middle number = 55 (after rearranging in ascending order, its obvious)
- mean is a little longer; but still just adding 7 numbers and dividing by 7

sum of set = 256

256/7 = 36.xxx (you can stop your long division once you realise there is only one answer choice less than 55 and greater than 36)



I did the same but while going thru the review it mentioned of some generalization.
I was looking for the same , i dont remem exactly wat it was.

Do you remember if the generalization is with even spaced sets?
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Re: Which of the following numbers is lower than the median but  [#permalink]

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New post 05 Nov 2012, 18:40
Nope it wwas sthn related that mean will be near to the median.

I think in evenly spaced set mean = median if i am not mistaken.
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Re: Which of the following numbers is lower than the median but  [#permalink]

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New post 05 Nov 2012, 22:51
Do we need to know evenly spaced sets for this question
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Re: Which of the following numbers is lower than the median but  [#permalink]

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Re: Which of the following numbers is lower than the median but   [#permalink] 30 Nov 2013, 00:11
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