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

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Math Expert
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If each of the 10 students working with an NGO received cash prize, wa  [#permalink]

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New post 25 Oct 2018, 02:24
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

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

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

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New post 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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Re: If each of the 10 students working with an NGO received cash prize, wa  [#permalink]

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New post 25 Oct 2018, 05:06
The answer is A.

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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New post 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

Answer: 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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