Twenty students were randomly selected from a business statistics course and were asked to report the number of times that they had eaten a meal at the university's cafeteria within the past month. Below are the values reported:
7, 8, 10, 11, 8, 6, 10, 9, 9, 8, 13, 12, 8, 11, 11, 14, 8, 7, 10, 12

-What is the 90^th percentile?

Question

Quizplus · Accepted Answer

The given value can be broken down as: 90, S1, U1, P1, th, S1, S1, P0. The first number, 90, represents the percentile. So the given value is in the 90th percentile. The next three letters represent the data set (assuming S1 means set 1): U1 represents the units (e.g. pounds, kilograms), P1 represents the precision (e.g. to the nearest whole number or to one decimal place), and P0 means the value is rounded to the nearest whole number. The "th" indicates that the value is a percentile. Therefore, we can ignore those first four parts and focus just on "S1S1P0". This means the value is in set 1, to the nearest whole number. In order to find the corresponding value in the data set, we look at the cumulative frequency distribution and find the value that corresponds to the 90th percentile. Based on that value, we see that the 90S1U1P1thS1S1P0 percentile is 12.5.

Twenty Students Were Randomly Selected from a Business Statistics Course