First, let's put the data set in crescent order:
[tex]5581,5700,5700,5896,5972,5993,6075,6274,6283,6381[/tex]Since we want the 30th percentile and the data set has 10 elements, the percentile will be the 4th element of the set in crescent order.
Looking at the ordered set, the 4th element is 5896.
Therefore the correct option is the first one.