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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