Answer:
a) 37th percentile: 33 years
b) 72nd percentile: 62 years
Step-by-step explanation:
The kth percentile divides the data into two: on the one hand the lowest k% of the data, and on the other the (1-k)% higher of the data.
For the list provided, the 37th percentile falls to the age of 33. This means that 37% of the data are for ages under 33 years.
The 72nd percentile falls at the age of 62 (72% of the ages fall below 62 years).
AGE PERCENTILE
18 6%
21 9%
22 13%
25 16%
26 19%
27 22%
29 25%
30 28%
31 34%
33 38%
36 41%
37 47%
41 50%
42 53%
47 56%
52 59%
55 63%
57 66%
58 69%
62 72%
64 75%
67 78%
69 81%
71 84%
72 88%
73 91%
74 94%
76 97%
77 100%