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statistics-The outcome of a standardized test
[#permalink]
08 Sep 2014, 18:06
08 Sep 2014, 18:06
2
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
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
Re: statistics
[#permalink]
09 Sep 2014, 14:12
09 Sep 2014, 14:12
7
Expert Reply
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
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
Re: statistics
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13 Mar 2017, 21:58
13 Mar 2017, 21:58
How can you infer "Now in the same example no one scored a 200"?
plz explicate in further detail.
plz explicate in further detail.
