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If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.

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If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.  [#permalink]

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Updated on: 03 Aug 2016, 23:08
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If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in either mean or the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed

1) A and B
2) A and E
3) A,C,E
4) All of them
5) None of them

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Originally posted by stonecold on 03 Aug 2016, 18:21.
Last edited by stonecold on 03 Aug 2016, 23:08, edited 3 times in total.
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Re: If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.  [#permalink]

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03 Aug 2016, 18:36
Why is b not the correct answer?
Current Student
Joined: 12 Aug 2015
Posts: 2638
Schools: Boston U '20 (M)
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Re: If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.  [#permalink]

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03 Aug 2016, 18:51
robanm90 wrote:
Why is b not the correct answer?

Counter Question =>
If B and I are removed will it remain an AP?

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Current Student
Joined: 08 Jan 2015
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Location: Mexico
GMAT 1: 650 Q48 V33
GPA: 4
WE: Engineering (Commercial Banking)
Re: If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.  [#permalink]

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03 Aug 2016, 18:59
stonecold wrote:
robanm90 wrote:
Why is b not the correct answer?

Counter Question =>
If B and I are removed will it remain an AP?

The AP will not remain but the median ant the mean remain the same or i am missing something?
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Location: Pune, India
Re: If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.  [#permalink]

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03 Aug 2016, 22:48
1
stonecold wrote:
If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in either mean or the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed

1) A and B
2) A and E
3) A,C,E
4) All of them
5) None of them

There are 10 equidistant numbers on the number line.

Mean and median will be the average of middle two numbers.

If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers.
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Current Student
Joined: 12 Aug 2015
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GRE 1: Q169 V154
Re: If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.  [#permalink]

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03 Aug 2016, 23:02
VeritasPrepKarishma wrote:
stonecold wrote:
If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in either mean or the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed

1) A and B
2) A and E
3) A,C,E
4) All of them
5) None of them

There are 10 equidistant numbers on the number line.

Mean and median will be the average of middle two numbers.

If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers.

Hi

My question is that => if we remove Two elements B and I then the series wont be in AP
So the mean will have changed.
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Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8385
Location: Pune, India
Re: If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.  [#permalink]

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03 Aug 2016, 23:04
1
stonecold wrote:
VeritasPrepKarishma wrote:
stonecold wrote:
If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in either mean or the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed

1) A and B
2) A and E
3) A,C,E
4) All of them
5) None of them

There are 10 equidistant numbers on the number line.

Mean and median will be the average of middle two numbers.

If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers.

Hi

My question is that => if we remove Two elements B and I then the series wont be in AP
So the mean will have changed.

Mean will not change. Assume values and see why. It doesn't matter that you don't have an AP anymore.
_________________

Karishma
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GMAT self-study has never been more personalized or more fun. Try ORION Free!

Current Student
Joined: 12 Aug 2015
Posts: 2638
Schools: Boston U '20 (M)
GRE 1: Q169 V154
If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.  [#permalink]

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03 Aug 2016, 23:11
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8385
Location: Pune, India
Re: If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.  [#permalink]

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03 Aug 2016, 23:14
1
stonecold wrote:
Hi VeritasPrepKarishma
You are right karishma.
I just checked.
Do you have any blogs on topic underlying the questions such as above

Regards
S.C.S.A

http://www.veritasprep.com/blog/2012/05 ... eviations/
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Karishma
Veritas Prep GMAT Instructor

GMAT self-study has never been more personalized or more fun. Try ORION Free!

Current Student
Joined: 08 Jan 2015
Posts: 9
Location: Mexico
GMAT 1: 650 Q48 V33
GPA: 4
WE: Engineering (Commercial Banking)
Re: If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.  [#permalink]

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04 Aug 2016, 11:02
1
VeritasPrepKarishma wrote:
stonecold wrote:
If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in either mean or the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed

1) A and B
2) A and E
3) A,C,E
4) All of them
5) None of them

There are 10 equidistant numbers on the number line.

Mean and median will be the average of middle two numbers.

If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers.

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Joined: 09 Sep 2013
Posts: 8411
Re: If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such.  [#permalink]

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16 Oct 2017, 16:31
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Re: If A,B,C,D,E,F,G,H,I,J are in an increasing AP as such. &nbs [#permalink] 16 Oct 2017, 16:31
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