Question

Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.)
18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77

(a) Find the percentile of 37. th percentile
(b) Find the percentile of 72. th percentile

Answer 1

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%