What is the value of the 30th percentile for the data set 6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581?

To solve this problem, we should remember that the percentile rank of a single value is the rank of that value in the series of data set when that data set is arranged in ascending order.

Therefore arranging the data set, gives the sequence:

5581, 5700, 5700, 5896, 5972, 5993, 6075, 6274, 6283, 6381

Since we are to find the 30th percentile (30 %) and there are a total of 10 values, therefore the 30th percentile is:

10 * 30% = 3

This means we look for the 3rd number in the ordered sequence.

Answer: 5700 is the 30th percentile of the series