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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]  06 Oct 2013, 20:59
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63% (01:23) correct 38% (00:26) wrong based on 104 sessions
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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Joined: 28 Jan 2013
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Kudos [?]: 14 [0], given: 20

Re: Standard deviation of the numbers of oranges in the 7 crates [#permalink]  06 Oct 2013, 21:44
Yes absolutely correct.
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Kudos [?]: 0 [0], given: 16

Re: A store received 7 crates of oranges. What was the standard [#permalink]  24 Oct 2013, 07:45
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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Kudos [?]: 24927 [2] , given: 2697

Re: A store received 7 crates of oranges. What was the standard [#permalink]  24 Oct 2013, 07:52
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Expert's post
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] 24 Oct 2013, 07:52
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