Percentiles - Ungrouped Data |
p | Weighted Average at Xnp | Weighted Average at X(n+1)p | Empirical Distribution Function | Empirical Distribution Function - Averaging | Empirical Distribution Function - Interpolation | Closest Observation | True Basic - Statistics Graphics Toolkit | MS Excel (old versions) |
0.01 | 3.78 | 3.8 | 4 | 4 | 4.88 | 4 | 2.2 | 4 |
0.02 | 5 | 5 | 5 | 5 | 5.76 | 5 | 5 | 5 |
0.03 | 6 | 6 | 6 | 6 | 6.64 | 6 | 6 | 6 |
0.04 | 8.56 | 8.6 | 9 | 9 | 9 | 9 | 8.4 | 9 |
0.05 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
0.06 | 9.34 | 9.4 | 10 | 10 | 10 | 9 | 9.6 | 9 |
0.07 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
0.08 | 11.12 | 11.2 | 12 | 12 | 12 | 11 | 11.8 | 11 |
0.09 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
0.1 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
0.11 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
0.12 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
0.13 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
0.14 | 15 | 15 | 15 | 15 | 15.32 | 15 | 15 | 15 |
0.15 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
0.16 | 16 | 16 | 16 | 16 | 16.08 | 16 | 16 | 16 |
0.17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
0.18 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
0.19 | 17.91 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
0.2 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
0.21 | 18 | 18 | 18 | 18 | 18.48 | 18 | 18 | 18 |
0.22 | 19.58 | 19.8 | 20 | 20 | 20 | 20 | 19.2 | 20 |
0.23 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
0.24 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
0.25 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
0.26 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
0.27 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
0.28 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
0.29 | 22 | 22.1 | 22 | 22 | 22.52 | 22 | 22.9 | 22 |
0.3 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
0.31 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
0.32 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
0.33 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
0.34 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
0.35 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
0.36 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
0.37 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
0.38 | 26 | 26.2 | 26 | 26 | 26.44 | 26 | 26.8 | 26 |
0.39 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
0.4 | 27.6 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
0.41 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
0.42 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
0.43 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
0.44 | 28.16 | 28.6 | 29 | 29 | 28.72 | 28 | 28.4 | 29 |
0.45 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
0.46 | 29.94 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
0.47 | 30.83 | 31 | 31 | 31 | 31 | 31 | 31 | 31 |
0.48 | 32 | 32.2 | 32 | 32 | 32.24 | 32 | 32.8 | 32 |
0.49 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 |
0.5 | 33.5 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
0.51 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
0.52 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 |
0.53 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
0.54 | 37 | 37 | 37 | 37 | 37 | 37 | 37 | 37 |
0.55 | 37 | 37 | 37 | 37 | 37 | 37 | 37 | 37 |
0.56 | 37.84 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
0.57 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
0.58 | 38.62 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
0.59 | 39 | 39.1 | 39 | 39 | 39 | 39 | 39.9 | 39 |
0.6 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
0.61 | 41 | 41 | 41 | 41 | 41 | 41 | 41 | 41 |
0.62 | 42 | 42 | 42 | 42 | 42 | 42 | 42 | 42 |
0.63 | 42 | 42 | 42 | 42 | 42 | 42 | 42 | 42 |
0.64 | 42 | 42.6 | 42 | 42 | 42.32 | 42 | 42.4 | 43 |
0.65 | 43.85 | 44 | 44 | 44 | 44 | 44 | 44 | 44 |
0.66 | 45.74 | 46 | 46 | 46 | 46 | 46 | 46 | 46 |
0.67 | 46.63 | 47 | 47 | 47 | 46.96 | 47 | 47 | 47 |
0.68 | 47 | 47.2 | 47 | 47 | 47 | 47 | 47.8 | 47 |
0.69 | 48 | 48 | 48 | 48 | 48 | 48 | 48 | 48 |
0.7 | 48.3 | 49 | 49 | 49 | 48.6 | 48 | 49 | 49 |
0.71 | 49 | 49 | 49 | 49 | 49 | 49 | 49 | 49 |
0.72 | 50 | 50 | 50 | 50 | 50 | 50 | 50 | 50 |
0.73 | 50.97 | 51 | 51 | 51 | 51 | 51 | 51 | 51 |
0.74 | 51 | 51 | 51 | 51 | 51 | 51 | 51 | 51 |
0.75 | 51.75 | 52 | 52 | 52 | 52 | 52 | 52 | 52 |
0.76 | 54 | 54 | 54 | 54 | 54 | 54 | 54 | 54 |
0.77 | 55 | 55.3 | 55 | 55 | 55 | 55 | 55.7 | 55 |
0.78 | 56.42 | 57 | 57 | 57 | 56.64 | 56 | 57 | 57 |
0.79 | 57.31 | 58 | 58 | 58 | 57.52 | 57 | 58 | 58 |
0.8 | 59 | 59 | 59 | 59 | 59 | 59 | 59 | 59 |
0.81 | 60.09 | 60.9 | 61 | 61 | 60.28 | 60 | 60.1 | 61 |
0.82 | 61 | 61.8 | 61 | 61 | 61.16 | 61 | 61.2 | 62 |
0.83 | 62 | 62 | 62 | 62 | 62 | 62 | 62 | 62 |
0.84 | 63 | 63.6 | 63 | 63 | 63 | 63 | 63.4 | 64 |
0.85 | 64 | 64.5 | 64 | 64 | 64 | 64 | 64.5 | 64.5 |
0.86 | 65 | 65.4 | 65 | 65 | 65 | 65 | 65.6 | 65 |
0.87 | 66 | 66.3 | 66 | 66 | 66 | 66 | 66.7 | 66 |
0.88 | 68 | 68 | 68 | 68 | 68 | 68 | 68 | 68 |
0.89 | 68 | 68.1 | 68 | 68 | 68 | 68 | 68.9 | 68 |
0.9 | 70.1 | 71 | 71 | 71 | 70.2 | 70 | 71 | 71 |
0.91 | 71.99 | 72 | 72 | 72 | 72 | 72 | 72 | 72 |
0.92 | 74 | 74.8 | 74 | 74 | 74 | 74 | 74.2 | 75 |
0.93 | 76 | 76.7 | 76 | 76 | 76 | 76 | 76.3 | 77 |
0.94 | 78.98 | 81.2 | 80 | 80 | 79.16 | 80 | 80.8 | 82 |
0.95 | 84.65 | 86.5 | 86 | 86 | 84.8 | 86 | 86.5 | 86.5 |
0.96 | 88.88 | 90 | 90 | 90 | 88.96 | 88 | 90 | 90 |
0.97 | 90.33 | 91 | 91 | 91 | 90.36 | 90 | 91 | 91 |
0.98 | 95.22 | 96 | 96 | 96 | 95.24 | 95 | 96 | 96 |
0.99 | 98 | 98.3 | 98 | 98 | 98 | 98 | 100.7 | 98 |