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# If each of the 10 students working with an NGO received cash prize, wa

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Math Expert
Joined: 02 Sep 2009
Posts: 58381
If each of the 10 students working with an NGO received cash prize, wa  [#permalink]

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25 Oct 2018, 02:24
00:00

Difficulty:

15% (low)

Question Stats:

87% (00:32) correct 13% (01:11) wrong based on 39 sessions

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If each of the 10 students working with an NGO received cash prize, was the amount of each cash prize the same?

(1) The standard deviation of the amounts of the cash prizes was 0.
(2) The sum of the 10 cash prizes was \$500.

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Joined: 05 Jan 2017
Posts: 35
Re: If each of the 10 students working with an NGO received cash prize, wa  [#permalink]

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25 Oct 2018, 02:50
I will go with (A)
Important Standard Dev prop to note here-
* If all values of a data set are the same, the standard deviation is zero (because each value is equal to the mean).

from Question-
1) says SD is zero. hence value of all data set are same.
2) The sum of the 10 cash prizes was \$500. - distribution can be same cannot be, nothing mentioned about that.
Hence (A)
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examPAL Representative
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Posts: 1140
Re: If each of the 10 students working with an NGO received cash prize, wa  [#permalink]

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25 Oct 2018, 05:06

This question follows directly from the Logic of what standard deviation is - a measure for how spread out the values are.
1) standard deviation 0 means there is no difference in the values - in other words, they are all the same. answer: yes. Sufficient!
2) Totally irrelevant - this tells us nothing about the makeup of the different values. Insufficient! Answer A.
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Re: If each of the 10 students working with an NGO received cash prize, wa  [#permalink]

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25 Oct 2018, 06:31

Solution

Given:
• Each of the 10 students, working with an NGO, received cash prize

To find:
• Whether the amount of cash prize received by each of them is same or not

Analysing Statement 1
• Given, standard deviation of the cash prizes = 0
o Implies, that each amount is equal to the mean
• Thus, the amount of each cash prize received was same

Therefore, Statement 1 alone is sufficient to answer this question

Analysing Statement 2
• Given that the sum of the 10 cash prizes = \$500

We cannot say a definite yes or no, using this information

Therefore, Statement 2 alone is not sufficient to answer this question

Hence, the correct answer is Option A

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Re: If each of the 10 students working with an NGO received cash prize, wa   [#permalink] 25 Oct 2018, 06:31
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