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 | 45.54 | 45.6 | 48 | 48 | 50.32 | 48 | 44.4 | 48 |
0.02 | 52.36 | 52.4 | 54 | 54 | 54.16 | 52 | 53.6 | 52 |
0.03 | 54.77 | 54.8 | 55 | 55 | 55 | 55 | 54.2 | 55 |
0.04 | 55 | 55 | 55 | 55 | 55.32 | 55 | 55 | 55 |
0.05 | 55.95 | 56 | 56 | 56 | 56 | 56 | 56 | 56 |
0.06 | 56 | 56 | 56 | 56 | 56.48 | 56 | 56 | 56 |
0.07 | 57.13 | 57.2 | 58 | 58 | 58.06 | 57 | 57.8 | 57 |
0.08 | 58.72 | 58.8 | 59 | 59 | 59 | 59 | 58.2 | 59 |
0.09 | 59.31 | 59.4 | 60 | 60 | 60.22 | 59 | 59.6 | 59 |
0.1 | 60.9 | 61 | 61 | 61 | 61 | 61 | 61 | 61 |
0.11 | 61.49 | 61.6 | 62 | 62 | 62.38 | 61 | 61.4 | 62 |
0.12 | 63 | 63 | 63 | 63 | 63 | 63 | 63 | 63 |
0.13 | 63 | 63 | 63 | 63 | 63 | 63 | 63 | 63 |
0.14 | 63.26 | 63.4 | 64 | 64 | 64 | 63 | 63.6 | 63 |
0.15 | 64 | 64 | 64 | 64 | 64 | 64 | 64 | 64 |
0.16 | 64 | 64 | 64 | 64 | 64 | 64 | 64 | 64 |
0.17 | 64.03 | 64.2 | 65 | 65 | 64.86 | 64 | 64.8 | 64 |
0.18 | 65 | 65 | 65 | 65 | 65 | 65 | 65 | 65 |
0.19 | 65 | 65 | 65 | 65 | 65 | 65 | 65 | 65 |
0.2 | 65 | 65 | 65 | 65 | 65.6 | 65 | 65 | 65 |
0.21 | 66.39 | 66.6 | 67 | 67 | 67 | 66 | 66.4 | 67 |
0.22 | 67 | 67 | 67 | 67 | 67 | 67 | 67 | 67 |
0.23 | 67 | 67 | 67 | 67 | 67 | 67 | 67 | 67 |
0.24 | 67 | 67 | 67 | 67 | 67 | 67 | 67 | 67 |
0.25 | 67 | 67 | 67 | 67 | 67.5 | 67 | 67 | 67 |
0.26 | 68 | 68 | 68 | 68 | 68 | 68 | 68 | 68 |
0.27 | 68 | 68 | 68 | 68 | 68 | 68 | 68 | 68 |
0.28 | 68.52 | 68.8 | 69 | 69 | 69 | 69 | 68.2 | 69 |
0.29 | 69 | 69 | 69 | 69 | 69 | 69 | 69 | 69 |
0.3 | 69 | 69 | 69 | 69 | 69 | 69 | 69 | 69 |
0.31 | 69 | 69 | 69 | 69 | 69 | 69 | 69 | 69 |
0.32 | 69 | 69.2 | 69 | 69 | 69.56 | 69 | 69.8 | 69 |
0.33 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 |
0.34 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 |
0.35 | 70 | 70 | 70 | 70 | 70 | 70 | 70 | 70 |
0.36 | 70.24 | 70.6 | 71 | 71 | 70.88 | 70 | 70.4 | 71 |
0.37 | 71 | 71 | 71 | 71 | 71 | 71 | 71 | 71 |
0.38 | 71 | 71 | 71 | 71 | 71.04 | 71 | 71 | 71 |
0.39 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 |
0.4 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 |
0.41 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 |
0.42 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 |
0.43 | 72.37 | 72.8 | 73 | 73 | 72.94 | 72 | 72.2 | 73 |
0.44 | 73 | 73 | 73 | 73 | 73 | 73 | 73 | 73 |
0.45 | 73 | 73 | 73 | 73 | 73 | 73 | 73 | 73 |
0.46 | 73 | 73 | 73 | 73 | 73 | 73 | 73 | 73 |
0.47 | 73 | 73.2 | 73 | 73 | 73.26 | 73 | 73.8 | 73 |
0.48 | 74 | 74 | 74 | 74 | 74 | 74 | 74 | 74 |
0.49 | 74 | 74 | 74 | 74 | 74 | 74 | 74 | 74 |
0.5 | 74 | 74 | 74 | 74 | 74 | 74 | 74 | 74 |
0.51 | 74 | 74 | 74 | 74 | 74 | 74 | 74 | 74 |
0.52 | 74.68 | 75 | 75 | 75 | 75 | 75 | 75 | 75 |
0.53 | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 |
0.54 | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 |
0.55 | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 |
0.56 | 75.04 | 75.6 | 76 | 76 | 75.48 | 75 | 75.4 | 76 |
0.57 | 76 | 76 | 76 | 76 | 76 | 76 | 76 | 76 |
0.58 | 76 | 76 | 76 | 76 | 76 | 76 | 76 | 76 |
0.59 | 76 | 76.4 | 76 | 76 | 76.22 | 76 | 76.6 | 76 |
0.6 | 77 | 77 | 77 | 77 | 77 | 77 | 77 | 77 |
0.61 | 77 | 77.6 | 77 | 77 | 77.38 | 77 | 77.4 | 78 |
0.62 | 78 | 78 | 78 | 78 | 78 | 78 | 78 | 78 |
0.63 | 78 | 78 | 78 | 78 | 78 | 78 | 78 | 78 |
0.64 | 78 | 78.4 | 78 | 78 | 78.12 | 78 | 78.6 | 78 |
0.65 | 79 | 79 | 79 | 79 | 79 | 79 | 79 | 79 |
0.66 | 79 | 79.6 | 79 | 79 | 79.28 | 79 | 79.4 | 80 |
0.67 | 80 | 80.2 | 80 | 80 | 80 | 80 | 80.8 | 80 |
0.68 | 81 | 81 | 81 | 81 | 81 | 81 | 81 | 81 |
0.69 | 81 | 81 | 81 | 81 | 81 | 81 | 81 | 81 |
0.7 | 81 | 81 | 81 | 81 | 81 | 81 | 81 | 81 |
0.71 | 81.89 | 82 | 82 | 82 | 82 | 82 | 82 | 82 |
0.72 | 82 | 82.2 | 82 | 82 | 82 | 82 | 82.8 | 82 |
0.73 | 83 | 83 | 83 | 83 | 83 | 83 | 83 | 83 |
0.74 | 83.66 | 84 | 84 | 84 | 83.92 | 84 | 84 | 84 |
0.75 | 84.25 | 85 | 85 | 85 | 84.5 | 84 | 85 | 85 |
0.76 | 85 | 85 | 85 | 85 | 85 | 85 | 85 | 85 |
0.77 | 85 | 85 | 85 | 85 | 85 | 85 | 85 | 85 |
0.78 | 85 | 85 | 85 | 85 | 85 | 85 | 85 | 85 |
0.79 | 85 | 85 | 85 | 85 | 85 | 85 | 85 | 85 |
0.8 | 85 | 85 | 85 | 85 | 85 | 85 | 85 | 85 |
0.81 | 85.79 | 86 | 86 | 86 | 85.98 | 86 | 86 | 86 |
0.82 | 86.38 | 87 | 87 | 87 | 86.56 | 86 | 87 | 87 |
0.83 | 87 | 87 | 87 | 87 | 87 | 87 | 87 | 87 |
0.84 | 87.56 | 88.4 | 88 | 88 | 87.72 | 88 | 88.6 | 88 |
0.85 | 89 | 89 | 89 | 89 | 89 | 89 | 89 | 89 |
0.86 | 89.74 | 90.6 | 90 | 90 | 89.88 | 90 | 90.4 | 91 |
0.87 | 91 | 91.2 | 91 | 91 | 91 | 91 | 91.8 | 91 |
0.88 | 91.92 | 92 | 92 | 92 | 92 | 92 | 92 | 92 |
0.89 | 92 | 92.4 | 92 | 92 | 92 | 92 | 92.6 | 92 |
0.9 | 93.1 | 94 | 94 | 94 | 93.2 | 93 | 94 | 94 |
0.91 | 94.69 | 95.6 | 95 | 95 | 94.78 | 95 | 95.4 | 96 |
0.92 | 96 | 96 | 96 | 96 | 96 | 96 | 96 | 96 |
0.93 | 96 | 96 | 96 | 96 | 96 | 96 | 96 | 96 |
0.94 | 96.46 | 97 | 97 | 97 | 96.52 | 96 | 97 | 97 |
0.95 | 97.1 | 99 | 99 | 99 | 97.2 | 97 | 99 | 99 |
0.96 | 99.64 | 100.6 | 100 | 100 | 99.68 | 100 | 100.4 | 101 |
0.97 | 101.23 | 102.2 | 102 | 102 | 101.26 | 101 | 102.8 | 102 |
0.98 | 102.82 | 105.4 | 103 | 103 | 102.84 | 103 | 103.6 | 106 |
0.99 | 106 | 107.6 | 106 | 106 | 106 | 106 | 108.4 | 106 |