Consider the following data set:

32, 19, 33, 37, 19, 14, 38, 31, 31, 16, 16, 30, 16, 15, 15

Find the percentiles for the following data values:

a) 31 is the _________ th percentile.

b) 32 is the _________th percentile.

Please solve correctly because a lot of tutors have been getting this question incorrect. I don't want to mark the answer as unhelpful after all that work that you did. Please explain and show your work neatly and organized.