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 | 2.844 | 2.8447 | 2.9 | 2.9 | 2.9285 | 2.83 | 2.8853 | 2.83 |
0.02 | 3.308 | 3.3104 | 3.38 | 3.38 | 3.4408 | 3.26 | 3.3296 | 3.26 |
0.03 | 6.134 | 6.1772 | 6.71 | 6.71 | 8.0666 | 6.71 | 5.8028 | 6.71 |
0.04 | 9.46 | 9.464 | 9.48 | 9.48 | 9.9436 | 9.48 | 9.396 | 9.48 |
0.05 | 10.78 | 10.7805 | 10.78 | 10.785 | 10.7895 | 10.78 | 10.7895 | 10.78 |
0.06 | 11.08 | 11.08 | 11.08 | 11.08 | 11.0856 | 11.08 | 11.08 | 11.08 |
0.07 | 11.388 | 11.3894 | 11.4 | 11.4 | 11.4132 | 11.38 | 11.3906 | 11.38 |
0.08 | 11.556 | 11.5608 | 11.58 | 11.58 | 11.5904 | 11.58 | 11.5392 | 11.58 |
0.09 | 11.64 | 11.64 | 11.64 | 11.64 | 11.6542 | 11.64 | 11.64 | 11.64 |
0.1 | 11.67 | 11.672 | 11.67 | 11.68 | 11.688 | 11.67 | 11.688 | 11.67 |
0.11 | 11.762 | 11.7631 | 11.77 | 11.77 | 11.7718 | 11.76 | 11.7669 | 11.76 |
0.12 | 11.81 | 11.81 | 11.81 | 11.81 | 11.8296 | 11.81 | 11.81 | 11.81 |
0.13 | 11.938 | 11.9419 | 11.95 | 11.95 | 11.9923 | 11.95 | 11.9281 | 11.95 |
0.14 | 12.106 | 12.1088 | 12.11 | 12.11 | 12.1694 | 12.11 | 12.0912 | 12.11 |
0.15 | 12.24 | 12.255 | 12.24 | 12.29 | 12.325 | 12.24 | 12.325 | 12.24 |
0.16 | 12.374 | 12.3772 | 12.39 | 12.39 | 12.39 | 12.37 | 12.3828 | 12.37 |
0.17 | 12.424 | 12.4257 | 12.43 | 12.43 | 12.4346 | 12.42 | 12.4243 | 12.43 |
0.18 | 12.564 | 12.5712 | 12.58 | 12.58 | 12.5842 | 12.58 | 12.5488 | 12.58 |
0.19 | 12.874 | 12.8797 | 12.88 | 12.88 | 12.9593 | 12.88 | 12.8503 | 12.88 |
0.2 | 13.28 | 13.286 | 13.28 | 13.295 | 13.304 | 13.28 | 13.304 | 13.28 |
0.21 | 13.37 | 13.37 | 13.37 | 13.37 | 13.37 | 13.37 | 13.37 | 13.37 |
0.22 | 13.4 | 13.4 | 13.4 | 13.4 | 13.4018 | 13.4 | 13.4 | 13.4 |
0.23 | 13.438 | 13.4449 | 13.45 | 13.45 | 13.4537 | 13.45 | 13.4251 | 13.45 |
0.24 | 13.47 | 13.4704 | 13.47 | 13.47 | 13.4756 | 13.47 | 13.4796 | 13.47 |
0.25 | 13.59 | 13.5975 | 13.59 | 13.605 | 13.6125 | 13.59 | 13.6125 | 13.59 |
0.26 | 13.836 | 13.8438 | 13.86 | 13.86 | 13.8582 | 13.83 | 13.8462 | 13.83 |
0.27 | 13.966 | 13.9903 | 14.02 | 14.02 | 14.0239 | 13.93 | 13.9597 | 14.02 |
0.28 | 14.282 | 14.3016 | 14.31 | 14.31 | 14.3292 | 14.31 | 14.2484 | 14.31 |
0.29 | 14.476 | 14.4827 | 14.48 | 14.48 | 14.4953 | 14.48 | 14.5073 | 14.48 |
0.3 | 14.6 | 14.603 | 14.6 | 14.605 | 14.607 | 14.6 | 14.607 | 14.6 |
0.31 | 14.72 | 14.751 | 14.8 | 14.8 | 14.789 | 14.7 | 14.749 | 14.8 |
0.32 | 14.936 | 14.9488 | 14.96 | 14.96 | 14.9632 | 14.92 | 14.9312 | 14.96 |
0.33 | 15.148 | 15.1744 | 15.18 | 15.18 | 15.1854 | 15.18 | 15.1056 | 15.18 |
0.34 | 15.298 | 15.3282 | 15.31 | 15.31 | 15.3698 | 15.31 | 15.4218 | 15.31 |
0.35 | 15.5 | 15.5 | 15.5 | 15.5 | 15.5 | 15.5 | 15.5 | 15.5 |
0.36 | 15.574 | 15.6352 | 15.71 | 15.71 | 15.6828 | 15.54 | 15.6148 | 15.71 |
0.37 | 15.902 | 15.9316 | 15.95 | 15.95 | 15.9506 | 15.87 | 15.8884 | 15.95 |
0.38 | 16.062 | 16.0696 | 16.07 | 16.07 | 16.0744 | 16.07 | 16.0504 | 16.07 |
0.39 | 16.134 | 16.1419 | 16.14 | 16.14 | 16.1441 | 16.14 | 16.1481 | 16.14 |
0.4 | 16.29 | 16.33 | 16.29 | 16.34 | 16.35 | 16.29 | 16.35 | 16.29 |
0.41 | 16.436 | 16.4483 | 16.46 | 16.46 | 16.4537 | 16.43 | 16.4417 | 16.46 |
0.42 | 16.574 | 16.5782 | 16.58 | 16.58 | 16.5798 | 16.57 | 16.5718 | 16.58 |
0.43 | 16.702 | 16.7106 | 16.71 | 16.71 | 16.7134 | 16.71 | 16.7294 | 16.71 |
0.44 | 16.758 | 16.7648 | 16.76 | 16.76 | 16.7672 | 16.76 | 16.7752 | 16.76 |
0.45 | 16.92 | 16.9245 | 16.92 | 16.925 | 16.9255 | 16.92 | 16.9255 | 16.92 |
0.46 | 17.064 | 17.0732 | 17.08 | 17.08 | 17.0748 | 17.06 | 17.0668 | 17.08 |
0.47 | 17.168 | 17.2009 | 17.21 | 17.21 | 17.2051 | 17.14 | 17.1491 | 17.21 |
0.48 | 17.31 | 17.3116 | 17.31 | 17.31 | 17.3124 | 17.31 | 17.3284 | 17.31 |
0.49 | 17.472 | 17.5306 | 17.49 | 17.49 | 17.5334 | 17.49 | 17.5894 | 17.49 |
0.5 | 17.75 | 17.76 | 17.75 | 17.76 | 17.76 | 17.75 | 17.76 | 17.76 |
0.51 | 17.962 | 17.9671 | 17.97 | 17.97 | 17.9669 | 17.96 | 17.9629 | 17.97 |
0.52 | 18.064 | 18.0692 | 18.07 | 18.07 | 18.0688 | 18.06 | 18.0608 | 18.07 |
0.53 | 18.212 | 18.2265 | 18.22 | 18.22 | 18.2235 | 18.22 | 18.2635 | 18.22 |
0.54 | 18.738 | 18.7702 | 18.76 | 18.76 | 18.7678 | 18.76 | 18.7798 | 18.76 |
0.55 | 19.07 | 19.18 | 19.27 | 19.27 | 19.16 | 19.07 | 19.16 | 19.27 |
0.56 | 19.728 | 19.8344 | 19.88 | 19.88 | 19.8116 | 19.69 | 19.7356 | 19.88 |
0.57 | 20.876 | 21.0413 | 21.05 | 21.05 | 21.0007 | 20.76 | 20.7687 | 21.05 |
0.58 | 21.542 | 21.6354 | 21.63 | 21.63 | 21.6306 | 21.63 | 21.6546 | 21.63 |
0.59 | 22.292 | 22.3534 | 22.33 | 22.33 | 22.3426 | 22.33 | 22.3666 | 22.33 |
0.6 | 22.65 | 22.71 | 22.65 | 22.7 | 22.69 | 22.65 | 22.69 | 22.75 |
0.61 | 23.034 | 23.0767 | 23.09 | 23.09 | 23.0613 | 23.02 | 23.0333 | 23.09 |
0.62 | 23.222 | 23.2708 | 23.27 | 23.27 | 23.2524 | 23.19 | 23.3092 | 23.27 |
0.63 | 23.742 | 23.773 | 23.75 | 23.75 | 23.7494 | 23.75 | 23.827 | 23.75 |
0.64 | 24.182 | 24.2296 | 24.19 | 24.19 | 24.2044 | 24.19 | 24.2404 | 24.19 |
0.65 | 24.58 | 24.944 | 24.58 | 24.86 | 24.776 | 24.58 | 24.776 | 25.14 |
0.66 | 25.526 | 25.6118 | 25.63 | 25.63 | 25.5702 | 25.5 | 25.5182 | 25.63 |
0.67 | 25.754 | 25.7628 | 25.76 | 25.76 | 25.7573 | 25.75 | 25.7972 | 25.76 |
0.68 | 26.028 | 26.0428 | 26.04 | 26.04 | 26.0376 | 26.04 | 26.0472 | 26.04 |
0.69 | 26.312 | 26.3592 | 26.32 | 26.32 | 26.3288 | 26.32 | 26.3608 | 26.32 |
0.7 | 26.52 | 26.52 | 26.52 | 26.52 | 26.52 | 26.52 | 26.52 | 26.52 |
0.71 | 26.756 | 26.7773 | 26.78 | 26.78 | 26.7647 | 26.75 | 26.7527 | 26.78 |
0.72 | 27.222 | 27.3096 | 27.3 | 27.3 | 27.2584 | 27.17 | 27.3704 | 27.3 |
0.73 | 27.556 | 27.56 | 27.56 | 27.56 | 27.5587 | 27.56 | 27.56 | 27.56 |
0.74 | 27.658 | 27.6978 | 27.66 | 27.66 | 27.6642 | 27.66 | 27.6922 | 27.73 |
0.75 | 27.8 | 27.83 | 27.8 | 27.82 | 27.81 | 27.8 | 27.81 | 27.84 |
0.76 | 28.386 | 28.5608 | 28.57 | 28.57 | 28.4412 | 28.34 | 28.3492 | 28.57 |
0.77 | 28.658 | 28.7719 | 28.76 | 28.76 | 28.6971 | 28.59 | 28.8181 | 28.76 |
0.78 | 29.018 | 29.0376 | 29.03 | 29.03 | 29.0246 | 29.03 | 29.0424 | 29.03 |
0.79 | 29.302 | 29.3395 | 29.31 | 29.31 | 29.3105 | 29.31 | 29.3305 | 29.36 |
0.8 | 30.28 | 30.352 | 30.28 | 30.325 | 30.298 | 30.28 | 30.298 | 30.37 |
0.81 | 30.728 | 31.0012 | 31 | 31 | 30.7926 | 30.66 | 31.1188 | 31 |
0.82 | 31.848 | 31.9458 | 31.86 | 31.86 | 31.8516 | 31.84 | 32.1642 | 31.86 |
0.83 | 32.42 | 32.44 | 32.44 | 32.44 | 32.4285 | 32.44 | 32.44 | 32.44 |
0.84 | 32.818 | 32.8848 | 32.84 | 32.84 | 32.8356 | 32.84 | 32.8652 | 32.91 |
0.85 | 33.1 | 33.134 | 33.1 | 33.12 | 33.106 | 33.1 | 33.106 | 33.14 |
0.86 | 33.292 | 33.3962 | 33.38 | 33.38 | 33.3074 | 33.27 | 33.6338 | 33.38 |
0.87 | 33.88 | 33.9535 | 33.94 | 33.94 | 33.893 | 33.84 | 33.9765 | 33.94 |
0.88 | 34.426 | 34.6164 | 34.53 | 34.53 | 34.4572 | 34.53 | 34.6236 | 34.53 |
0.89 | 35.382 | 35.4928 | 35.41 | 35.41 | 35.3974 | 35.41 | 35.4472 | 35.53 |
0.9 | 36.25 | 36.439 | 36.25 | 36.355 | 36.271 | 36.25 | 36.271 | 36.46 |
0.91 | 36.922 | 36.9949 | 36.93 | 36.93 | 36.9229 | 36.92 | 37.4551 | 36.93 |
0.92 | 41.504 | 42.224 | 41.84 | 41.84 | 41.5488 | 41.28 | 42.656 | 41.84 |
0.93 | 47.354 | 49.4516 | 49.07 | 49.07 | 47.6543 | 49.07 | 49.4084 | 49.79 |
0.94 | 52.088 | 52.2044 | 52.16 | 52.16 | 52.1096 | 52.16 | 52.1756 | 52.22 |
0.95 | 52.85 | 52.9925 | 52.85 | 52.925 | 52.8575 | 52.85 | 52.8575 | 53 |
0.96 | 55.618 | 56.2804 | 56.21 | 56.21 | 55.6476 | 55.47 | 56.5796 | 56.21 |
0.97 | 58.196 | 59.9483 | 59.36 | 59.36 | 58.2542 | 57.42 | 60.3617 | 59.36 |
0.98 | 62.288 | 63.8674 | 62.4 | 62.4 | 62.2936 | 62.4 | 63.4626 | 64.93 |
0.99 | 67.794 | 68.447 | 68.21 | 68.21 | 67.8148 | 68.21 | 68.273 | 68.51 |