Final answer:
To create a relative frequency table for the number of piercings among 361 students, divide the number of students in each category by the total number. The relative frequencies, rounded to three decimal places, are 0.521 for no piercings, 0.227 for one or two piercings, and 0.252 for more than two piercings.
Step-by-step explanation:
To construct a relative frequency table of the data regarding the number of piercings among 361 students, first we categorize the data as given: 188 students with no piercings, 82 with one or two piercings, and the rest, which is 91 students (since 361 - 188 - 82 = 91), with more than two piercings.
Next, we calculate the relative frequency for each category by dividing the number of students in each category by the total number of students (361).
No piercings: 188 / 361 = 0.521 (rounded to three decimal places)
One or two piercings: 82 / 361 = 0.227 (rounded to three decimal places)
More than two piercings: 91 / 361 = 0.252 (rounded to three decimal places)
These values represent the proportion of students in each category. For example, for the students with no piercings, the proportion can be denoted as p(no piercings) = 0.521.