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If the first term

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by madhur_ahuja » Mon Aug 10, 2009 7:25 pm
{x,y,z}

If the first term in the data set above is 3, what is the third term?
(1) The range of this data set is 0.
(2) The standard deviation of this data set is 0.
Last edited by madhur_ahuja on Mon Aug 10, 2009 7:37 pm, edited 1 time in total.
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Source: — Data Sufficiency |
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by tohellandback » Mon Aug 10, 2009 7:31 pm
data set "above"??
did you forget to add something??
The powers of two are bloody impolite!!
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by madhur_ahuja » Mon Aug 10, 2009 7:38 pm
tohellandback wrote:data set "above"??
did you forget to add something??
Thanks for pointing out, its corrected.
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by tohellandback » Mon Aug 10, 2009 7:43 pm
IMO B

1) since we don't know whether the data set is in order. we can't say.
NOT SUFF

2) from this the mean must be three and the other two terms must also be 3
SUFF
The powers of two are bloody impolite!!
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by real2008 » Wed Aug 12, 2009 7:47 am
tohellandback wrote:IMO B

1) since we don't know whether the data set is in order. we can't say.
NOT SUFF
?????????????????? ur statement is not clear.....
2) from this the mean must be three and the other two terms must also be 3
SUFF
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by madhur_ahuja » Wed Aug 12, 2009 7:55 am
real2008 wrote:
tohellandback wrote:IMO B

1) since we don't know whether the data set is in order. we can't say.
NOT SUFF
?????????????????? ur statement is not clear.....
2) from this the mean must be three and the other two terms must also be 3
SUFF
What he means that - We don't know if the set is ordered set or not.

Ordered Set- Terms are in ascending order.
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by sreak1089 » Wed Aug 12, 2009 8:11 am
Set by its definition is a collection of distinct elements. Hence in this case, how can we have three elements x, y & z equal?
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by Svedankae » Wed Aug 12, 2009 8:20 am
D imho
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by Svedankae » Wed Aug 12, 2009 8:21 am
D imho
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by sreak1089 » Wed Aug 12, 2009 8:32 am
I too thought D is the right answer initially since range zero means that first and last tirms are equal. However {x,y,z}, could be ordered such that they are either {3,2,3} or {3,3,2}. Hence (1) is not sufficient.

(2) says that S.D is 0, implies all the numbers are equal, hence irrespective of the order, third number will be 3. But the question is can we have {3,3,3} in a set? Based on what I learnt, a set by its definition is a collection of DISTINCT elements. I am not sure how (2) is possible, if that is the case.

I have solved lot of problems on data sufficiency that require you to assume that a set is a collection of distinct elements. Hence (2) is a bit puzzling to me :shock: :roll:
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by Svedankae » Wed Aug 12, 2009 8:43 am
(1) is sufficient. Range means

Largest number minus smallest number. period.

it has nothing to do with where the numbers are in the set. its your business how you arrange them in the parantheses.

(2) is sufficient as well, unless sreaks definition of a set is correct.
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by sreak1089 » Wed Aug 12, 2009 8:48 am
Following is the definition of a set from Wikepedia:

A set is a collection of distinct objects, considered as an object in its own right. By a "set" we mean any collection M into a whole of definite, distinct objects m (which are called the "elements" of M).
Svedankae wrote:(1) is sufficient. Range means

Largest number minus smallest number. period.

it has nothing to do with where the numbers are in the set. its your business how you arrange them in the parantheses.

(2) is sufficient as well, unless sreaks definition of a set is correct.
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by vikram_k51 » Wed Aug 12, 2009 12:03 pm
{x,y,z}

If the first term in the data set above is 3, what is the third term?
(1) The range of this data set is 0.
(2) The standard deviation of this data set is 0.


Should be D.
Each will give all the elements of the dataset as 3.
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by lav » Thu Aug 13, 2009 3:47 am
my ans D
wats the OA ?
Kid in Verbal :(
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by scoobydooby » Thu Aug 13, 2009 4:12 am
D seems better than B as i reread the stimulus.

it says the first term is 3. asks for the 3rd term. the use of "1st" and "3rd" seems to be hinting that the set is ordered.

if {3, y, z} is in increasing order, from stment 1, z must be 3
if {3, y, z} is in decreasing order, from stment 1, z must be 3

stment 1 is sufficient in itself.
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