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 | 46.266 | 46.2666 | 46.29 | 46.29 | 46.3608 | 46.29 | 46.2534 | 46.29 |
0.02 | 46.776 | 46.7776 | 46.84 | 46.84 | 46.912 | 46.76 | 46.8224 | 46.76 |
0.03 | 47.652 | 47.6547 | 47.67 | 47.67 | 47.7239 | 47.67 | 47.5953 | 47.67 |
0.04 | 48.15 | 48.16 | 48.3 | 48.3 | 48.354 | 48.05 | 48.19 | 48.05 |
0.05 | 48.84 | 48.843 | 48.84 | 48.87 | 48.897 | 48.84 | 48.897 | 48.84 |
0.06 | 49.202 | 49.2062 | 49.23 | 49.23 | 49.3218 | 49.23 | 49.1838 | 49.23 |
0.07 | 49.968 | 49.9708 | 50 | 50 | 50 | 49.96 | 49.9892 | 49.96 |
0.08 | 50.498 | 50.5028 | 50.51 | 50.51 | 50.7836 | 50.51 | 50.4572 | 50.51 |
0.09 | 52.482 | 52.5522 | 52.95 | 52.95 | 52.9531 | 52.17 | 52.5678 | 52.17 |
0.1 | 53.31 | 53.311 | 53.31 | 53.315 | 53.319 | 53.31 | 53.319 | 53.31 |
0.11 | 53.718 | 53.7378 | 53.79 | 53.79 | 53.8341 | 53.79 | 53.6622 | 53.79 |
0.12 | 54.824 | 54.8624 | 55.08 | 55.08 | 55.092 | 54.76 | 54.9776 | 54.76 |
0.13 | 55.604 | 55.6144 | 55.62 | 55.62 | 55.7004 | 55.62 | 55.5456 | 55.62 |
0.14 | 55.874 | 55.8824 | 55.91 | 55.91 | 55.9828 | 55.85 | 55.8776 | 55.91 |
0.15 | 57.11 | 57.209 | 57.11 | 57.44 | 57.671 | 57.11 | 57.671 | 57.11 |
0.16 | 58.34 | 58.372 | 58.42 | 58.42 | 58.4772 | 58.42 | 58.268 | 58.42 |
0.17 | 58.668 | 58.6918 | 58.78 | 58.78 | 58.7854 | 58.64 | 58.7282 | 58.64 |
0.18 | 59.152 | 59.1682 | 59.17 | 59.17 | 59.883 | 59.17 | 59.0818 | 59.17 |
0.19 | 60.772 | 60.8252 | 60.94 | 60.94 | 61.0345 | 60.66 | 60.7748 | 60.94 |
0.2 | 61.85 | 61.854 | 61.85 | 61.86 | 61.866 | 61.85 | 61.866 | 61.85 |
0.21 | 62.472 | 62.5077 | 62.54 | 62.54 | 62.7935 | 62.54 | 62.4023 | 62.54 |
0.22 | 64.7 | 64.7 | 64.7 | 64.7 | 64.7 | 64.7 | 64.7 | 64.7 |
0.23 | 65.282 | 65.3171 | 65.3 | 65.3 | 65.6249 | 65.3 | 65.8529 | 65.3 |
0.24 | 66.118 | 66.1828 | 66.28 | 66.28 | 66.2848 | 66.01 | 66.1072 | 66.28 |
0.25 | 66.64 | 66.7175 | 66.64 | 66.795 | 66.8725 | 66.64 | 66.8725 | 66.64 |
0.26 | 67.322 | 67.3532 | 67.37 | 67.37 | 67.3938 | 67.37 | 67.2668 | 67.37 |
0.27 | 67.62 | 67.62 | 67.62 | 67.62 | 67.62 | 67.62 | 67.62 | 67.62 |
0.28 | 68.3 | 68.3808 | 68.38 | 68.38 | 68.3852 | 68.38 | 68.3892 | 68.38 |
0.29 | 68.496 | 68.5221 | 68.55 | 68.55 | 68.5544 | 68.46 | 68.4879 | 68.55 |
0.3 | 68.77 | 68.797 | 68.77 | 68.815 | 68.833 | 68.77 | 68.833 | 68.77 |
0.31 | 69.426 | 69.4601 | 69.47 | 69.47 | 69.5077 | 69.47 | 69.3699 | 69.47 |
0.32 | 69.784 | 69.7904 | 69.8 | 69.8 | 69.7976 | 69.78 | 69.7896 | 69.8 |
0.33 | 70 | 70.0165 | 70.01 | 70.01 | 70.0335 | 70.01 | 70.0535 | 70.01 |
0.34 | 70.362 | 70.3722 | 70.38 | 70.38 | 70.3854 | 70.35 | 70.3578 | 70.38 |
0.35 | 70.91 | 70.945 | 70.91 | 70.91 | 70.975 | 70.91 | 70.975 | 70.91 |
0.36 | 71.454 | 71.5224 | 71.53 | 71.53 | 71.5924 | 71.53 | 71.3476 | 71.53 |
0.37 | 71.982 | 72.0227 | 72.07 | 72.07 | 72.0513 | 71.96 | 72.0073 | 72.07 |
0.38 | 72.392 | 72.486 | 72.45 | 72.45 | 72.534 | 72.45 | 72.614 | 72.45 |
0.39 | 72.87 | 72.9675 | 73.02 | 73.02 | 73.0206 | 72.77 | 72.8225 | 73.02 |
0.4 | 73.29 | 73.378 | 73.29 | 73.4 | 73.422 | 73.29 | 73.422 | 73.29 |
0.41 | 74.234 | 74.3909 | 74.39 | 74.39 | 74.4071 | 74.39 | 74.4791 | 74.39 |
0.42 | 74.586 | 74.6196 | 74.65 | 74.65 | 74.6324 | 74.57 | 74.6004 | 74.65 |
0.43 | 74.9 | 74.9146 | 74.91 | 74.91 | 74.9174 | 74.91 | 74.9254 | 74.91 |
0.44 | 75.208 | 75.3928 | 75.46 | 75.46 | 75.4432 | 75.04 | 75.1072 | 75.46 |
0.45 | 75.69 | 75.7305 | 75.69 | 75.735 | 75.7395 | 75.69 | 75.7395 | 75.69 |
0.46 | 75.85 | 75.876 | 75.87 | 75.87 | 75.884 | 75.87 | 75.964 | 75.87 |
0.47 | 76.086 | 76.1236 | 76.15 | 76.15 | 76.1284 | 76.07 | 76.0964 | 76.15 |
0.48 | 76.198 | 76.2196 | 76.2 | 76.2 | 76.2224 | 76.2 | 76.2504 | 76.2 |
0.49 | 76.422 | 76.4612 | 76.47 | 76.47 | 76.4628 | 76.39 | 76.3988 | 76.47 |
0.5 | 76.65 | 76.775 | 76.65 | 76.775 | 76.775 | 76.65 | 76.775 | 76.775 |
0.51 | 77.108 | 77.1411 | 77.14 | 77.14 | 77.1409 | 77.14 | 77.1489 | 77.14 |
0.52 | 77.42 | 77.42 | 77.42 | 77.42 | 77.42 | 77.42 | 77.42 | 77.42 |
0.53 | 77.726 | 77.7833 | 77.78 | 77.78 | 77.7827 | 77.78 | 77.7867 | 77.78 |
0.54 | 78.172 | 78.1882 | 78.19 | 78.19 | 78.1858 | 78.16 | 78.1618 | 78.19 |
0.55 | 78.38 | 78.5395 | 78.67 | 78.67 | 78.5105 | 78.38 | 78.5105 | 78.67 |
0.56 | 78.836 | 78.868 | 78.86 | 78.86 | 78.862 | 78.86 | 78.902 | 78.86 |
0.57 | 79.246 | 79.2916 | 79.31 | 79.31 | 79.2804 | 79.23 | 79.2484 | 79.31 |
0.58 | 79.888 | 79.8976 | 79.89 | 79.89 | 79.8944 | 79.89 | 79.9024 | 79.89 |
0.59 | 80.012 | 80.0297 | 80.03 | 80.03 | 80.0243 | 80 | 80.0003 | 80.03 |
0.6 | 80.47 | 80.476 | 80.47 | 80.475 | 80.474 | 80.47 | 80.474 | 80.48 |
0.61 | 80.676 | 80.7 | 80.7 | 80.7 | 80.6994 | 80.7 | 80.7 | 80.7 |
0.62 | 81.15 | 81.181 | 81.19 | 81.19 | 81.169 | 81.14 | 81.149 | 81.19 |
0.63 | 81.578 | 81.6273 | 81.58 | 81.58 | 81.5987 | 81.58 | 81.6427 | 81.58 |
0.64 | 81.938 | 81.9572 | 81.95 | 81.95 | 81.9452 | 81.93 | 82.1228 | 81.95 |
0.65 | 82.39 | 82.4225 | 82.39 | 82.415 | 82.4075 | 82.39 | 82.4075 | 82.44 |
0.66 | 82.974 | 83.1116 | 83.07 | 83.07 | 83.0556 | 83.07 | 83.1884 | 83.07 |
0.67 | 83.51 | 83.6105 | 83.63 | 83.63 | 83.5595 | 83.48 | 83.4995 | 83.63 |
0.68 | 84.012 | 84.0636 | 84.03 | 84.03 | 84.0384 | 84.03 | 84.0664 | 84.03 |
0.69 | 84.38 | 84.4454 | 84.44 | 84.44 | 84.411 | 84.34 | 84.4946 | 84.44 |
0.7 | 84.67 | 84.901 | 84.67 | 84.67 | 84.769 | 84.67 | 84.769 | 85 |
0.71 | 85.214 | 85.2362 | 85.23 | 85.23 | 85.2256 | 85.23 | 85.2438 | 85.23 |
0.72 | 85.374 | 85.5684 | 85.59 | 85.59 | 85.4496 | 85.32 | 85.3416 | 85.59 |
0.73 | 86.196 | 86.3248 | 86.24 | 86.24 | 86.2512 | 86.24 | 86.3152 | 86.4 |
0.74 | 86.766 | 86.834 | 86.82 | 86.82 | 86.7894 | 86.73 | 86.906 | 86.82 |
0.75 | 86.98 | 87.0475 | 86.98 | 87.025 | 87.0025 | 86.98 | 87.0025 | 87.07 |
0.76 | 87.28 | 87.3052 | 87.28 | 87.28 | 87.28 | 87.28 | 87.3248 | 87.28 |
0.77 | 87.502 | 87.5867 | 87.59 | 87.59 | 87.5273 | 87.48 | 87.4833 | 87.59 |
0.78 | 87.894 | 87.9796 | 87.91 | 87.91 | 87.9124 | 87.91 | 87.9604 | 88.03 |
0.79 | 88.374 | 88.41 | 88.41 | 88.41 | 88.3866 | 88.35 | 88.41 | 88.41 |
0.8 | 89.27 | 89.334 | 89.27 | 89.31 | 89.286 | 89.27 | 89.286 | 89.35 |
0.81 | 89.55 | 89.7181 | 89.55 | 89.55 | 89.55 | 89.55 | 89.7919 | 89.55 |
0.82 | 90.292 | 90.3028 | 90.3 | 90.3 | 90.2938 | 90.29 | 90.4372 | 90.3 |
0.83 | 90.642 | 90.7089 | 90.69 | 90.69 | 90.6828 | 90.69 | 90.7011 | 90.72 |
0.84 | 91.51 | 91.5172 | 91.51 | 91.51 | 91.51 | 91.51 | 91.5328 | 91.51 |
0.85 | 91.74 | 92.9045 | 91.74 | 92.425 | 91.9455 | 91.74 | 91.9455 | 93.11 |
0.86 | 93.284 | 93.4964 | 93.34 | 93.34 | 93.3036 | 93.34 | 93.5236 | 93.34 |
0.87 | 94.404 | 94.4221 | 94.42 | 94.42 | 94.4066 | 94.4 | 94.4479 | 94.42 |
0.88 | 95.208 | 95.422 | 95.32 | 95.32 | 95.2752 | 95.32 | 95.368 | 95.47 |
0.89 | 96.958 | 97.4943 | 97.3 | 97.3 | 97.0207 | 96.73 | 97.7757 | 97.3 |
0.9 | 99.2 | 99.254 | 99.2 | 99.23 | 99.206 | 99.2 | 99.206 | 99.26 |
0.91 | 100.064 | 101.0317 | 100.18 | 100.18 | 100.0901 | 100.18 | 100.9983 | 101.85 |
0.92 | 102.264 | 102.5752 | 102.52 | 102.52 | 102.2896 | 102.2 | 102.9248 | 102.52 |
0.93 | 104.674 | 104.9709 | 104.73 | 104.73 | 104.6936 | 104.73 | 104.8191 | 105.06 |
0.94 | 106.368 | 106.9936 | 106.98 | 106.98 | 106.4292 | 105.96 | 107.0064 | 106.98 |
0.95 | 107.93 | 109.507 | 107.93 | 108.76 | 108.013 | 107.93 | 108.013 | 109.59 |
0.96 | 110.954 | 111.6844 | 111.27 | 111.27 | 110.9856 | 111.27 | 111.5956 | 112.01 |
0.97 | 113.842 | 115.8206 | 115.45 | 115.45 | 113.9023 | 113.44 | 117.2594 | 115.45 |
0.98 | 120.514 | 123.8866 | 121.18 | 121.18 | 120.5806 | 121.18 | 121.9434 | 124.65 |
0.99 | 138.578 | 151.2605 | 147.38 | 147.38 | 138.7247 | 132.71 | 153.4495 | 147.38 |