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A store received 7 crates of oranges. What was the standard

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A store received 7 crates of oranges. What was the standard [#permalink]

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A store received 7 crates of oranges. What was the standard deviation of the numbers of oranges in the 7 crates?

(1) For the 7 crates of oranges, the median of the numbers of oranges was equal to the greatest of the numbers of oranges.
(2) For the 7 crates of oranges, the range of the numbers of oranges was 0.

My approach:
Statement 1: The numbers of oranges in the 7 crates are n1, n2, n3, n4, n4, n4, n4, so we can't determine the SD. Hence insufficient.
Statement 2: We are given that the range of the numbers of oranges was 0, so can I say that all the numbers of oranges are of the same value? If it is the case, then the SD = 0. Sufficient.

Please confirm if my reasoning is correct.
Thank you.
[Reveal] Spoiler: OA

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Re: A store received 7 crates of oranges. What was the standard [#permalink]

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New post 24 Oct 2013, 08:45
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windofchange wrote:
A store received 7 crates of oranges. What was the standard deviation of the numbers of oranges in the 7 crates?

(1) For the 7 crates of oranges, the median of the numbers of oranges was equal to the greatest of the numbers of oranges.
(2) For the 7 crates of oranges, the range of the numbers of oranges was 0.

My approach:
Statement 1: The numbers of oranges in the 7 crates are n1, n2, n3, n4, n4, n4, n4, so we can't determine the SD. Hence insufficient.
Statement 2: We are given that the range of the numbers of oranges was 0, so can I say that all the numbers of oranges are of the same value? If it is the case, then the SD = 0. Sufficient.

Please confirm if my reasoning is correct.
Thank you.

but in statement 1 it is given that median is equal to the greatest no so definitely all will be equal hence SD should be 0 so this statement is also sufficient kindly clear my doubt?

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Re: A store received 7 crates of oranges. What was the standard [#permalink]

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New post 24 Oct 2013, 08:52
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vibhutijain wrote:
windofchange wrote:
A store received 7 crates of oranges. What was the standard deviation of the numbers of oranges in the 7 crates?

(1) For the 7 crates of oranges, the median of the numbers of oranges was equal to the greatest of the numbers of oranges.
(2) For the 7 crates of oranges, the range of the numbers of oranges was 0.

My approach:
Statement 1: The numbers of oranges in the 7 crates are n1, n2, n3, n4, n4, n4, n4, so we can't determine the SD. Hence insufficient.
Statement 2: We are given that the range of the numbers of oranges was 0, so can I say that all the numbers of oranges are of the same value? If it is the case, then the SD = 0. Sufficient.

Please confirm if my reasoning is correct.
Thank you.

but in statement 1 it is given that median is equal to the greatest no so definitely all will be equal hence SD should be 0 so this statement is also sufficient kindly clear my doubt?


That's not true. Consider: {1, 1, 1, 2, 2, 2, 2} --> median=2=greatest.

Hope it helps.
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Re: A store received 7 crates of oranges. What was the standard [#permalink]

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Bunuel wrote:
vibhutijain wrote:
windofchange wrote:
A store received 7 crates of oranges. What was the standard deviation of the numbers of oranges in the 7 crates?

(1) For the 7 crates of oranges, the median of the numbers of oranges was equal to the greatest of the numbers of oranges.
(2) For the 7 crates of oranges, the range of the numbers of oranges was 0.

My approach:
Statement 1: The numbers of oranges in the 7 crates are n1, n2, n3, n4, n4, n4, n4, so we can't determine the SD. Hence insufficient.
Statement 2: We are given that the range of the numbers of oranges was 0, so can I say that all the numbers of oranges are of the same value? If it is the case, then the SD = 0. Sufficient.

Please confirm if my reasoning is correct.
Thank you.

but in statement 1 it is given that median is equal to the greatest no so definitely all will be equal hence SD should be 0 so this statement is also sufficient kindly clear my doubt?


That's not true. Consider: {1, 1, 1, 2, 2, 2, 2} --> median=2=greatest.

Hope it helps.




Its a very tricky concept :) , Even I commited mistake assuming its works similar to mean . If it was for Mean = greatest no then , the answer would have been D .
GMAT tricks with these very fine line of difference in concept.

Thanks Bunuel .

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Re: A store received 7 crates of oranges. What was the standard [#permalink]

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New post 14 Mar 2015, 04:39
windofchange wrote:
A store received 7 crates of oranges. What was the standard deviation of the numbers of oranges in the 7 crates?

(1) For the 7 crates of oranges, the median of the numbers of oranges was equal to the greatest of the numbers of oranges.
(2) For the 7 crates of oranges, the range of the numbers of oranges was 0.

My approach:
Statement 1: The numbers of oranges in the 7 crates are n1, n2, n3, n4, n4, n4, n4, so we can't determine the SD. Hence insufficient.
Statement 2: We are given that the range of the numbers of oranges was 0, so can I say that all the numbers of oranges are of the same value? If it is the case, then the SD = 0. Sufficient.

Please confirm if my reasoning is correct.
Thank you.

My reasoning is as follows

set ={a,b,c,5,5,5,5}where 5 is the median as well as the highest number of oranges in crate.
Hence it can't be determined. Nothing about about lowest value in set i.e a
I is insufficient.

But from II it is known 5-a=0, so all the crates had same number of oranges, sufficient to see SD =0

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Re: A store received 7 crates of oranges. What was the standard [#permalink]

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New post 21 Sep 2015, 17:09
Statement 1 - Insufficient
There are 2 possibilities
- Set {a, b, c, n, n, n, n}. We cannot know the SD
- Set {n, n, n, n, n, n, n}. SD = 0

Statement 2 - Sufficient
- Set {n, n, n, n, n, n, n}. SD = 0

Hence, option B
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Re: A store received 7 crates of oranges. What was the standard [#permalink]

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New post 27 May 2016, 08:11
I was tricked into thinking (1) is sufficient with SD = 0.

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Re: A store received 7 crates of oranges. What was the standard [#permalink]

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New post 15 Jun 2017, 08:21
anon12 wrote:
I was tricked into thinking (1) is sufficient with SD = 0.


thats why you'd take some notes and then you'll see it


1, 1, 1, 4, 4, 4, 4

1, 2, 5, 50, 50 50, 50
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Re: A store received 7 crates of oranges. What was the standard [#permalink]

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New post 08 Aug 2017, 21:34
A great question indeed. Had the statement 1 mentioned "mean" instead of "median" the answer would have been D

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Re: A store received 7 crates of oranges. What was the standard   [#permalink] 08 Aug 2017, 21:34
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