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statistics-The outcome of a standardized test

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statistics-The outcome of a standardized test [#permalink] New post 08 Sep 2014, 18:06
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Question Stats:

29% (00:19) correct 70% (00:25) wrong based on 17 sessions
PLEASE EXPLAIN:
The outcome of a standardized test is an integer between 151 and 200, inclusive. The percentiles of 400 test
scores are calculated, and the scores are divided into corresponding percentile groups.

Quanti ty A

Minimum number of integers between 151 and 200,
inclusive, that include more than one percentile group

Which of the following would the data pattern shown best describe?

Quanti ty B
Minimum number of percentile
groups that correspond to a score of
200
[Reveal] Spoiler: OA
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Re: statistics [#permalink] New post 09 Sep 2014, 14:12
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Expert's post
There are 50 integers corresponding to 100 %ile. Even in the case of uniform distribution each integer would have 2 %ile groups.

Let us say everybody gets 164.The integer now corresponds to all percentiles (since there is no distribution). Hence minimum number of integers with more than 1 percentile group is 1.

Now in the same example no one scored a 200. Hence it would have no percentile groups attached to it. So its minimum possible number of percentile groups is 0.

Hence Quantity A is greater.


PS: The question was not clear I ignored the line "Which of the following would the data pattern shown best describe?".

Hope this helps
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Re: statistics [#permalink] New post 13 Mar 2017, 21:58
How can you infer "Now in the same example no one scored a 200"?
plz explicate in further detail.
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Re: statistics [#permalink] New post 14 Mar 2017, 15:22
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hamzakamalmostafa wrote:
How can you infer "Now in the same example no one scored a 200"?
plz explicate in further detail.



I am not inferring it its just an example. Say no one scored 175, then people who scored 174 would get additional 2% (assuming uniform distribution) of 175.

Basically what I am trying to say is that there might be integers with no percentile groups attached to it. Because no one got that score
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Re: statistics   [#permalink] 14 Mar 2017, 15:22
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