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 | 18.46 | 18.47 | 19 | 19 | 20.8 | 18 | 18.53 | 18 |
0.02 | 22.68 | 22.76 | 23 | 23 | 24.8 | 23 | 19.24 | 23 |
0.03 | 25.76 | 25.82 | 27 | 27 | 27 | 25 | 26.18 | 25 |
0.04 | 27 | 27 | 27 | 27 | 27.8 | 27 | 27 | 27 |
0.05 | 28.6 | 28.7 | 30 | 30 | 30.25 | 28 | 29.3 | 28 |
0.06 | 30.76 | 30.82 | 31 | 31 | 31.7 | 31 | 30.18 | 31 |
0.07 | 32.44 | 32.58 | 34 | 34 | 34 | 32 | 33.42 | 32 |
0.08 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
0.09 | 34.14 | 34.23 | 35 | 35 | 35.05 | 34 | 34.77 | 34 |
0.1 | 35.6 | 35.7 | 36 | 36 | 37 | 36 | 35.3 | 36 |
0.11 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
0.12 | 38.52 | 38.64 | 39 | 39 | 39 | 39 | 38.36 | 39 |
0.13 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
0.14 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
0.15 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
0.16 | 39 | 39 | 39 | 39 | 39.2 | 39 | 39 | 39 |
0.17 | 39.82 | 39.99 | 40 | 40 | 40 | 40 | 39.01 | 40 |
0.18 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
0.19 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
0.2 | 40.2 | 40.4 | 41 | 41 | 41 | 40 | 40.6 | 40 |
0.21 | 41.66 | 41.87 | 42 | 42 | 42 | 42 | 41.13 | 42 |
0.22 | 42.12 | 42.34 | 43 | 43 | 42.9 | 42 | 42.66 | 42 |
0.23 | 43.58 | 43.81 | 44 | 44 | 44.35 | 44 | 43.19 | 44 |
0.24 | 45 | 45 | 45 | 45 | 45 | 45 | 45 | 45 |
0.25 | 45 | 45 | 45 | 45 | 45 | 45 | 45 | 45 |
0.26 | 45 | 45 | 45 | 45 | 45 | 45 | 45 | 45 |
0.27 | 45 | 45 | 45 | 45 | 45.15 | 45 | 45 | 45 |
0.28 | 45.88 | 46 | 46 | 46 | 46 | 46 | 46 | 46 |
0.29 | 46 | 46 | 46 | 46 | 46 | 46 | 46 | 46 |
0.3 | 46 | 46 | 46 | 46 | 46 | 46 | 46 | 46 |
0.31 | 46 | 46 | 46 | 46 | 46 | 46 | 46 | 46 |
0.32 | 46 | 46 | 46 | 46 | 46 | 46 | 46 | 46 |
0.33 | 46.18 | 46.51 | 47 | 47 | 46.85 | 46 | 46.49 | 47 |
0.34 | 47 | 47 | 47 | 47 | 47.3 | 47 | 47 | 47 |
0.35 | 48 | 48 | 48 | 48 | 48 | 48 | 48 | 48 |
0.36 | 48.56 | 48.92 | 49 | 49 | 49 | 49 | 48.08 | 49 |
0.37 | 49 | 49 | 49 | 49 | 49 | 49 | 49 | 49 |
0.38 | 49 | 49 | 49 | 49 | 49 | 49 | 49 | 49 |
0.39 | 49 | 49 | 49 | 49 | 49 | 49 | 49 | 49 |
0.4 | 49 | 49 | 49 | 49 | 49 | 49 | 49 | 49 |
0.41 | 49 | 49 | 49 | 49 | 49 | 49 | 49 | 49 |
0.42 | 49 | 49 | 49 | 49 | 49 | 49 | 49 | 49 |
0.43 | 49.78 | 50 | 50 | 50 | 50 | 50 | 50 | 50 |
0.44 | 50 | 50 | 50 | 50 | 50 | 50 | 50 | 50 |
0.45 | 50 | 50 | 50 | 50 | 50 | 50 | 50 | 50 |
0.46 | 50.16 | 50.62 | 51 | 51 | 50.7 | 50 | 50.38 | 51 |
0.47 | 51 | 51 | 51 | 51 | 51 | 51 | 51 | 51 |
0.48 | 51 | 51 | 51 | 51 | 51 | 51 | 51 | 51 |
0.49 | 51 | 51 | 51 | 51 | 51 | 51 | 51 | 51 |
0.5 | 51 | 51.5 | 51 | 51.5 | 51.5 | 51 | 51.5 | 51.5 |
0.51 | 52 | 52 | 52 | 52 | 52 | 52 | 52 | 52 |
0.52 | 52.92 | 53 | 53 | 53 | 53 | 53 | 53 | 53 |
0.53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 |
0.54 | 53.84 | 54 | 54 | 54 | 54 | 54 | 54 | 54 |
0.55 | 54 | 54 | 54 | 54 | 54 | 54 | 54 | 54 |
0.56 | 54 | 54 | 54 | 54 | 54 | 54 | 54 | 54 |
0.57 | 54.22 | 54.79 | 55 | 55 | 54.65 | 54 | 54.21 | 55 |
0.58 | 55 | 55 | 55 | 55 | 55 | 55 | 55 | 55 |
0.59 | 55.14 | 55.73 | 56 | 56 | 55.55 | 55 | 55.27 | 56 |
0.6 | 56 | 56 | 56 | 56 | 56 | 56 | 56 | 56 |
0.61 | 56 | 56 | 56 | 56 | 56 | 56 | 56 | 56 |
0.62 | 56.52 | 57 | 57 | 57 | 56.9 | 57 | 57 | 57 |
0.63 | 57 | 57 | 57 | 57 | 57 | 57 | 57 | 57 |
0.64 | 57.44 | 58 | 58 | 58 | 57.8 | 57 | 58 | 58 |
0.65 | 58 | 58 | 58 | 58 | 58 | 58 | 58 | 58 |
0.66 | 58 | 58 | 58 | 58 | 58 | 58 | 58 | 58 |
0.67 | 58 | 58.49 | 58 | 58 | 58.15 | 58 | 58.51 | 58 |
0.68 | 59 | 59 | 59 | 59 | 59 | 59 | 59 | 59 |
0.69 | 59 | 59.43 | 59 | 59 | 59.05 | 59 | 59.57 | 59 |
0.7 | 60 | 60 | 60 | 60 | 60 | 60 | 60 | 60 |
0.71 | 60.66 | 61 | 61 | 61 | 60.95 | 61 | 61 | 61 |
0.72 | 61.12 | 61.84 | 62 | 62 | 61.4 | 61 | 61.16 | 62 |
0.73 | 62 | 62 | 62 | 62 | 62 | 62 | 62 | 62 |
0.74 | 62.04 | 62.78 | 63 | 63 | 62.3 | 62 | 62.22 | 63 |
0.75 | 63 | 63 | 63 | 63 | 63 | 63 | 63 | 63 |
0.76 | 63 | 63 | 63 | 63 | 63 | 63 | 63 | 63 |
0.77 | 63 | 63 | 63 | 63 | 63 | 63 | 63 | 63 |
0.78 | 63 | 63 | 63 | 63 | 63 | 63 | 63 | 63 |
0.79 | 63.34 | 64.13 | 64 | 64 | 63.55 | 63 | 64.87 | 64 |
0.8 | 64.8 | 65 | 65 | 65 | 65 | 65 | 65 | 65 |
0.81 | 65 | 65 | 65 | 65 | 65 | 65 | 65 | 65 |
0.82 | 65 | 65 | 65 | 65 | 65 | 65 | 65 | 65 |
0.83 | 65.18 | 66 | 66 | 66 | 65.35 | 65 | 66 | 66 |
0.84 | 66 | 66 | 66 | 66 | 66 | 66 | 66 | 66 |
0.85 | 66 | 66 | 66 | 66 | 66 | 66 | 66 | 66 |
0.86 | 66.56 | 67 | 67 | 67 | 66.7 | 67 | 67 | 67 |
0.87 | 67 | 67 | 67 | 67 | 67 | 67 | 67 | 67 |
0.88 | 67.48 | 68 | 68 | 68 | 67.6 | 67 | 68 | 68 |
0.89 | 68 | 68 | 68 | 68 | 68 | 68 | 68 | 68 |
0.9 | 68.4 | 69 | 69 | 69 | 68.5 | 68 | 69 | 69 |
0.91 | 69 | 69.77 | 69 | 69 | 69 | 69 | 69.23 | 70 |
0.92 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 |
0.93 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 |
0.94 | 70.48 | 72 | 72 | 72 | 70.6 | 70 | 72 | 72 |
0.95 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 |
0.96 | 72 | 72.12 | 72 | 72 | 72 | 72 | 72.88 | 72 |
0.97 | 72.62 | 74.18 | 73 | 73 | 72.65 | 73 | 73.82 | 75 |
0.98 | 75.08 | 76.12 | 76 | 76 | 75.1 | 75 | 77.88 | 76 |
0.99 | 77.08 | 78 | 78 | 78 | 77.1 | 78 | 78 | 78 |