A business travellers' association rates hotels on a variety of factors including price, cleanliness, services, and amenities to produce an overall score out of 100 for each hotel. Here are the ratings for 50 hotels in a major city.
39, 50, 56, 60, 65, 68, 73, 77, 81, 87
41, 50, 56, 60, 65, 68, 74, 78, 81, 89
42, 51, 57, 60, 66, 70, 74, 78, 84, 91
44, 53, 58, 62, 67, 71, 75, 79, 85, 94
48, 55, 59, 63, 68, 73, 76, 80, 86, 96

a) what score represents
i) the 50th percentile
ii) the 95th percentile

b) What percentile corresponds to a rating of 50?

Question

A business travellers' association rates hotels on a variety of factors including price, cleanliness, services, and amenities to produce an overall score out of 100 for each hotel. Here are the ratings for 50 hotels in a major city.
39, 50, 56, 60, 65, 68, 73, 77, 81, 87
41, 50, 56, 60, 65, 68, 74, 78, 81, 89
42, 51, 57, 60, 66, 70, 74, 78, 84, 91
44, 53, 58, 62, 67, 71, 75, 79, 85, 94
48, 55, 59, 63, 68, 73, 76, 80, 86, 96

a) what score represents
i) the 50th percentile
ii) the 95th percentile

b) What percentile corresponds to a rating of 50?