In: Statistics and Probability
Here is a data set ( n = 117 )
that has been sorted.
14.2 21.3 22.5 22.9 23.3 23.8 23.9 24.8 25.1 26.6 26.9 26.9 27.3 27.4 27.5 27.8 28.2 28.3 28.5 28.6 28.6 29.1 29.6 29.7 29.7 29.9 30.2 30.5 30.6 30.6 30.9 31.2 31.4 31.7 31.8 31.8 32 32 32.2 32.3 32.3 32.3 32.6 32.9 33.4 33.7 33.9 33.9 34.2 34.4 34.8 34.9 34.9 35.1 35.3 35.6 35.7 36 36.4 36.7 36.8 36.9 37 37 37.1 37.1 37.2 37.3 37.4 37.6 37.7 38 38.1 38.7 39.2 39.3 39.4 39.5 39.6 39.6 40.2 40.5 40.5 40.6 41.3 41.5 41.7 42.3 42.3 43.3 43.4 43.4 43.5 43.5 43.8 43.9 44.4 44.5 44.6 44.9 45.1 45.9 46 46.5 46.9 47.2 47.3 47.6 48.2 49 49.3 49.4 49.6 50.4 51.3 51.6 53.3
To find P55, what is the value of the locator? L =
Use the locator, give the value for the 55-Percentile: P55 =

| 1 | 14.2 |
| 2 | 21.3 |
| 3 | 22.5 |
| 4 | 22.9 |
| 5 | 23.3 |
| 6 | 23.8 |
| 7 | 23.9 |
| 8 | 24.8 |
| 9 | 25.1 |
| 10 | 26.6 |
| 11 | 26.9 |
| 12 | 26.9 |
| 13 | 27.3 |
| 14 | 27.4 |
| 15 | 27.5 |
| 16 | 27.8 |
| 17 | 28.2 |
| 18 | 28.3 |
| 19 | 28.5 |
| 20 | 28.6 |
| 21 | 28.6 |
| 22 | 29.1 |
| 23 | 29.6 |
| 24 | 29.7 |
| 25 | 29.7 |
| 26 | 29.9 |
| 27 | 30.2 |
| 28 | 30.5 |
| 29 | 30.6 |
| 30 | 30.6 |
| 31 | 30.9 |
| 32 | 31.2 |
| 33 | 31.4 |
| 34 | 31.7 |
| 35 | 31.8 |
| 36 | 31.8 |
| 37 | 32 |
| 38 | 32 |
| 39 | 32.2 |
| 40 | 32.3 |
| 41 | 32.3 |
| 42 | 32.3 |
| 43 | 32.6 |
| 44 | 32.9 |
| 45 | 33.4 |
| 46 | 33.7 |
| 47 | 33.9 |
| 48 | 33.9 |
| 49 | 34.2 |
| 50 | 34.4 |
| 51 | 34.8 |
| 52 | 34.9 |
| 53 | 34.9 |
| 54 | 35.1 |
| 55 | 35.3 |
| 56 | 35.6 |
| 57 | 35.7 |
| 58 | 36 |
| 59 | 36.4 |
| 60 | 36.7 |
| 61 | 36.8 |
| 62 | 36.9 |
| 63 | 37 |
| 64 | 37 |
| 65 | 37.1 |
| 66 | 37.1 |
| 67 | 37.2 |
| 68 | 37.3 |
| 69 | 37.4 |
| 70 | 37.6 |
| 71 | 37.7 |
| 72 | 38 |
| 73 | 38.1 |
| 74 | 38.7 |
| 75 | 39.2 |
| 76 | 39.3 |
| 77 | 39.4 |
| 78 | 39.5 |
| 79 | 39.6 |
| 80 | 39.6 |
| 81 | 40.2 |
| 82 | 40.5 |
| 83 | 40.5 |
| 84 | 40.6 |
| 85 | 41.3 |
| 86 | 41.5 |
| 87 | 41.7 |
| 88 | 42.3 |
| 89 | 42.3 |
| 90 | 43.3 |
| 91 | 43.4 |
| 92 | 43.4 |
| 93 | 43.5 |
| 94 | 43.5 |
| 95 | 43.8 |
| 96 | 43.9 |
| 97 | 44.4 |
| 98 | 44.5 |
| 99 | 44.6 |
| 100 | 44.9 |
| 101 | 45.1 |
| 102 | 45.9 |
| 103 | 46 |
| 104 | 46.5 |
| 105 | 46.9 |
| 106 | 47.2 |
| 107 | 47.3 |
| 108 | 47.6 |
| 109 | 48.2 |
| 110 | 49 |
| 111 | 49.3 |
| 112 | 49.4 |
| 113 | 49.6 |
| 114 | 50.4 |
| 115 | 51.3 |
| 116 | 51.6 |
| 117 | 53.3 |








