Here is a data set (n=117) that has been sorted.

31.7 38.7 43.3 44.3 45.3 46.1 46.6 46.6 47.5

48.3 48.9 49.2 49.5 49.8 49.9 50 50.1 50.2

50.6 50.6 50.8 51.6 51.7 52.7 52.8 53.1 53.3

53.3 53.7 54 54 54.2 54.4 54.4 54.6 55

55.2 55.2 55.2 55.3 55.4 55.7 55.8 56 56.1

56.2 56.3 56.3 56.6 56.7 57.4 57.4 57.8 57.8

57.9 58 58.1 58.6 59 59.6 59.7 60 60

60.3 60.4 60.5 61 61.2 61.2 61.3 61.4 61.5

61.8 62.2 62.3 62.3 62.7 62.8 62.8 62.8 63.2

63.3 63.4 63.6 64.2 64.4 64.5 65.2 65.7 65.7

66.1 66.1 66.3 66.4 66.8 66.8 67 67 67.1

67.3 67.5 68.3 68.8 69.1 69.2 69.5 69.8 69.8

70.5 71.1 71.4 72.3 72.7 73.3 74.6 76.2 79.6

Find the 38th-Percentile:

P38 =