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A store received 7 crates of oranges. What was the standard
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06 Oct 2013, 21:59
Question Stats:
66% (00:57) correct 34% (00:49) wrong based on 527 sessions
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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.
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Re: A store received 7 crates of oranges. What was the standard
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24 Oct 2013, 08:52
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
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24 Nov 2014, 11:59
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
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24 Oct 2013, 08:45
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
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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 5a=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
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21 Sep 2015, 17:09
Statement 1  InsufficientThere 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
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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
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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
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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
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12 Aug 2018, 19:51
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. Bunuel I aggresively concluded in statement A that considering if median = greatest element of the set, then Set must be containing all equal elements. Can you please tell me how to think widely like you in such questions?
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Re: A store received 7 crates of oranges. What was the standard
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08 Jul 2019, 19:36
AjiteshArun chetan2u MaxximusIn St:1  What if it were given that " the MEAN of the numbers of oranges was equal to the greatest of the numbers of oranges." Had it been correct?? If yes, how???
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A store received 7 crates of oranges. What was the standard
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10 Aug 2019, 10:32
warrior1991 wrote: AjiteshArun chetan2u MaxximusIn St:1  What if it were given that " the MEAN of the numbers of oranges was equal to the greatest of the numbers of oranges." Had it been correct?? If yes, how??? warrior1991 I figured it out by putting some numbers eg. 1+2+3/3 average 2 , but 3+3+3/3 average 3 1+4+4/3 average 3 , but 4+4+4/3 average 4 so I guess in order for the mean to be equal with the greatest of the numbers then all the numbers have to be the same , thus statement 1 would be enough. The above seems right but i guess we need an expert to give his opinion on the matter.




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