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# If each of the 8 employees working on a certain project received an aw

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Math Expert
Joined: 02 Sep 2009
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If each of the 8 employees working on a certain project received an aw  [#permalink]

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19 Nov 2017, 10:06
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25% (medium)

Question Stats:

86% (00:26) correct 14% (00:40) wrong based on 37 sessions

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If each of the 8 employees working on a certain project received an award, was the amount of each award the same?

(1) The standard deviation of the amounts of the 8 awards was 0.

(2) The total amount of the 8 awards was $10,000. _________________ PS Forum Moderator Joined: 25 Feb 2013 Posts: 1216 Location: India GPA: 3.82 If each of the 8 employees working on a certain project received an aw [#permalink] ### Show Tags Updated on: 19 Nov 2017, 11:59 Bunuel wrote: If each of the 8 employees working on a certain project received an award, was the amount of each award the same? (1) The standard deviation of the amounts of the 8 awards was 0. (2) The total amount of the 8 awards was$10,000.

Statement 1: this implies that amount of each reward is equal. Sufficient

Statement 2: total amount is mentioned but no information given about the relationship among each reward. Insufficient

Option A

Originally posted by niks18 on 19 Nov 2017, 10:12.
Last edited by niks18 on 19 Nov 2017, 11:59, edited 1 time in total.
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Joined: 20 Feb 2017
Posts: 166
Location: India
Concentration: Operations, Strategy
WE: Engineering (Other)
If each of the 8 employees working on a certain project received an aw  [#permalink]

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Updated on: 19 Nov 2017, 10:57
The sample standard deviation is a descriptive statistic that measures the spread of a quantitative data set. This number can be any non negative real number. Since zero is a non negative real number, it seems worthwhile to ask, “When will the sample standard deviation be equal to zero?” This occurs in the very special and highly unusual case when all of our data values are exactly the same.
Hence Statement 1 is sufficient.
From statement 2 it can or cannot be same .

Thanks amanvermagmat for making the correction..
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If you feel the post helped you then do send me the kudos (damn theya re more valuable than $) Originally posted by Raksat on 19 Nov 2017, 10:18. Last edited by Raksat on 19 Nov 2017, 10:57, edited 1 time in total. DS Forum Moderator Joined: 22 Aug 2013 Posts: 1348 Location: India Re: If each of the 8 employees working on a certain project received an aw [#permalink] ### Show Tags 19 Nov 2017, 10:49 1 niks18 wrote: Bunuel wrote: If each of the 8 employees working on a certain project received an award, was the amount of each award the same? (1) The standard deviation of the amounts of the 8 awards was 0. (2) The total amount of the 8 awards was$10,000.

Statement 1: this implies that amount of each reward is equal. but we don't know the value of the reward. Insufficient

Statement 2: total amount is mentioned but no information given about the relationship among each reward. Insufficient

Combining 1 & 2 as each reward is equal, we get each reward $$= \frac{10000}{8} = 1250$$. Sufficient

Option C

Hi Niks

Arent we supposed to just say whether the amount of awards was same or not? I think Statement 1 would suffice, as per logic given by you.
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Re: If each of the 8 employees working on a certain project received an aw  [#permalink]

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19 Nov 2017, 10:51
1
Raksat wrote:
The sample standard deviation is a descriptive statistic that measures the spread of a quantitative data set. This number can be any non negative real number. Since zero is a non negative real number, it seems worthwhile to ask, “When will the sample standard deviation be equal to zero?” This occurs in the very special and highly unusual case when all of our data values are exactly the same. But we cannot arrive at a particular value since the total value is not known.
Hence Statement 1 is insufficient.
From statement 2 it can or cannot be same .
hence Answer IMO is C (we don't need to find the exact value , combining both the statements will give us the answer)

Hi Raksat

Your logic is completely correct. But I think statement 1 is sufficient to answer the question. Because we are asked whether the amount of each award is same or not?
This is answered as YES in statement 1.
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Re: If each of the 8 employees working on a certain project received an aw  [#permalink]

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19 Nov 2017, 11:58
amanvermagmat wrote:
niks18 wrote:
Bunuel wrote:
If each of the 8 employees working on a certain project received an award, was the amount of each award the same?

(1) The standard deviation of the amounts of the 8 awards was 0.

(2) The total amount of the 8 awards was \$10,000.

Statement 1: this implies that amount of each reward is equal. but we don't know the value of the reward. Insufficient

Statement 2: total amount is mentioned but no information given about the relationship among each reward. Insufficient

Combining 1 & 2 as each reward is equal, we get each reward $$= \frac{10000}{8} = 1250$$. Sufficient

Option C

Hi Niks

Arent we supposed to just say whether the amount of awards was same or not? I think Statement 1 would suffice, as per logic given by you.

yes agreed. I didn't read the question diligently i Guess
Re: If each of the 8 employees working on a certain project received an aw &nbs [#permalink] 19 Nov 2017, 11:58
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