If the first term

[madhur_ahuja]

{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.

[tohellandback]

data set "above"??
did you forget to add something??

[madhur_ahuja]

data set "above"??
did you forget to add something??

Thanks for pointing out, its corrected.

[tohellandback]

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

[real2008]

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

[madhur_ahuja]

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.

[sreak1089]

Set by its definition is a collection of distinct elements. Hence in this case, how can we have three elements x, y & z equal?

[Svedankae]

D imho

[Svedankae]

D imho

[sreak1089]

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 :roll:

[Svedankae]

(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.

[sreak1089]

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).

(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.

[vikram_k51]

{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.

[lav]

my ans D
wats the OA ?

[scoobydooby]

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.