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# Is the standard deviation of A=0? 1) The minimum value of

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Manager
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Is the standard deviation of A=0? 1) The minimum value of [#permalink]

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30 Jun 2007, 23:57
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Is the standard deviation of A=0?
1) The minimum value of the elements in set A is 5
2) The set A has 20 elements

The OA is not E

Last edited by msrinath on 01 Jul 2007, 07:20, edited 1 time in total.
VP
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01 Jul 2007, 01:13

statement 1

can be:

set (5,5,5)

SD = 0

or

set (5,6,7)

insufficient

statement 2

no info on the elements in the set so:

insufficient

statement 1&2

can be:

set (5,5,5 ..... 5,5)

SD = 0

or

set (5,6,7,8,9 ..... )

insufficient

Senior Manager
Joined: 04 Jun 2007
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01 Jul 2007, 07:49
msrinath wrote:
The OA is not E

Not E !!!
Can't see how ??!!
Manager
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02 Jul 2007, 22:14
I choose B.

A set should have distinct elements. So SD can not be zero
Director
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02 Jul 2007, 23:24
msrinath wrote:
Is the standard deviation of A=0?
1) The minimum value of the elements in set A is 5
2) The set A has 20 elements

The OA is not E

A. if 5 is minimum, then there should be a maximum value which different from 5. therefore there is/are some more values other than 5. so should be A.
VP
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02 Jul 2007, 23:50
Himalayan wrote:
msrinath wrote:
Is the standard deviation of A=0?
1) The minimum value of the elements in set A is 5
2) The set A has 20 elements

The OA is not E

A. if 5 is minimum, then there should be a maximum value which different from 5. therefore there is/are some more values other than 5. so should be A.

Sorry Himalayan but I disagree, since:

MIN(5,5,5) = 5

MAX(5,5,5) = 5

Senior Manager
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03 Jul 2007, 00:29
KillerSquirrel wrote:
Himalayan wrote:
msrinath wrote:
Is the standard deviation of A=0?
1) The minimum value of the elements in set A is 5
2) The set A has 20 elements

The OA is not E

A. if 5 is minimum, then there should be a maximum value which different from 5. therefore there is/are some more values other than 5. so should be A.

Sorry Himalayan but I disagree, since:

MIN(5,5,5) = 5

MAX(5,5,5) = 5

I agree with KillerSquirrel.
The question does not specify that the minimum and maximum values are different. We cannot assume that they are different! They may be the same!
Director
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03 Jul 2007, 09:36
KillerSquirrel wrote:
Himalayan wrote:
msrinath wrote:
Is the standard deviation of A=0?
1) The minimum value of the elements in set A is 5
2) The set A has 20 elements

The OA is not E

A. if 5 is minimum, then there should be a maximum value which different from 5. therefore there is/are some more values other than 5. so should be A.

Sorry Himalayan but I disagree, since:

MIN(5,5,5) = 5

MAX(5,5,5) = 5

yah, I know. I was just using a logic cuz msrinath said E is not OA.
Senior Manager
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Posts: 346
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03 Jul 2007, 10:17
Himalayan wrote:
KillerSquirrel wrote:
Himalayan wrote:
msrinath wrote:
Is the standard deviation of A=0?
1) The minimum value of the elements in set A is 5
2) The set A has 20 elements

The OA is not E

A. if 5 is minimum, then there should be a maximum value which different from 5. therefore there is/are some more values other than 5. so should be A.

Sorry Himalayan but I disagree, since:

MIN(5,5,5) = 5

MAX(5,5,5) = 5

yah, I know. I was just using a logic cuz msrinath said E is not OA.

What then is the OA? And, most importantly, the OE if OA is not E.
Director
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03 Jul 2007, 12:46
Can't imagine any OA other than 'E'
Manager
Joined: 12 Apr 2007
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05 Jul 2007, 17:10
would the real GMAT really have questions like this?

If the OA really is not E, then this is more of a verbal question than a quant question lol... it's more of a play on words than it is a question testing mathematical concepts.
GMAT Club Legend
Joined: 07 Jul 2004
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Location: Singapore
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05 Jul 2007, 17:49
St1:
Nothing useful.

St2:
Even more useless than St1.

Using both:
Nothing useful really comes out.

E.
CIO
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05 Jul 2007, 21:10
plaguerabbit wrote:
would the real GMAT really have questions like this?

If the OA really is not E, then this is more of a verbal question than a quant question lol... it's more of a play on words than it is a question testing mathematical concepts.

No. This is not a GMAT question, if the answer's not E.
Director
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06 Jul 2007, 01:54
msrinath wrote:
Is the standard deviation of A=0?
1) The minimum value of the elements in set A is 5
2) The set A has 20 elements

The OA is not E

Please post the OE, if you have it.
Manager
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16 Jul 2007, 11:07
This is a standard practice for GMAT 700+ questions, hiding information in plain sight. The hidden information here is that "A" is a set. As per the definition of sets, all the elements of a set are unique.
[ http://en.wikipedia.org/wiki/Set ]

Now having this information in hand, lets start analysing the given statements

1] minimum value of elements in set A is 5.
=> Set could be {5} or {5,6 ...}
In first case SD=0 [minimum=maximum since only one element]
In second case SD#0 since the numbers are different. So not sufficient

2] set A has 20 elements => A is a set AND it has more than 1 elements so it has 20 different elements and hence the SD cannot be 0. A positive "YES" to the asked question.

Choice B

OA is B
Manager
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16 Jul 2007, 12:22
Quote:
As per the definition of sets, all the elements of a set are unique

Is that definition actually given in any of the review books? The only book I have on hand at the moment is the OG Quantitative Review, which says, "In mathematics a set is a collection of numbers or other objects". It says nothing about all elements being unique. I'll be sure to check out my myriad of other books at home tonight to see if that definition is given anywhere. If not, then that is a horribly unfair GMAT question!
Director
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18 Jul 2007, 02:22
msrinath wrote:
This is a standard practice for GMAT 700+ questions, hiding information in plain sight. The hidden information here is that "A" is a set. As per the definition of sets, all the elements of a set are unique.
[ http://en.wikipedia.org/wiki/Set ]

Now having this information in hand, lets start analysing the given statements

1] minimum value of elements in set A is 5.
=> Set could be {5} or {5,6 ...}
In first case SD=0 [minimum=maximum since only one element]
In second case SD#0 since the numbers are different. So not sufficient

2] set A has 20 elements => A is a set AND it has more than 1 elements so it has 20 different elements and hence the SD cannot be 0. A positive "YES" to the asked question.

Choice B

OA is B

I have never read that the set contains unique elements.

The OG11 says - A set is a collection of numbers or objects. This doesn't mean that the numbers can't be same.

Can you please give some other authentic reference, which says the set consists of unique elements.

I wanna clarify it so that I can face the questions without doubt in mind.
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