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 | 2.68632 | 2.70618 | 3.441 | 3.441 | 4.01989 | 3.441 | 2.18982 | 3.441 |
0.02 | 4.51912 | 4.52988 | 4.928 | 4.928 | 4.93152 | 4.39 | 4.78812 | 4.39 |
0.03 | 4.94176 | 4.94224 | 4.944 | 4.944 | 5.55986 | 4.944 | 4.92976 | 4.944 |
0.04 | 5.82424 | 5.83576 | 5.974 | 5.974 | 6.07036 | 5.686 | 5.82424 | 5.974 |
0.05 | 6.208 | 6.2155 | 6.343 | 6.343 | 6.37115 | 6.193 | 6.3205 | 6.193 |
0.06 | 6.74836 | 6.78214 | 6.906 | 6.906 | 7.17528 | 6.906 | 6.46686 | 6.906 |
0.07 | 7.62748 | 7.69202 | 8.236 | 8.236 | 8.37532 | 7.314 | 7.85798 | 7.314 |
0.08 | 8.73136 | 8.77852 | 8.752 | 8.752 | 9.33544 | 8.752 | 9.38848 | 8.752 |
0.09 | 9.58378 | 9.60997 | 9.706 | 9.706 | 10.09506 | 9.706 | 9.51103 | 9.706 |
0.1 | 10.5206 | 10.5309 | 10.603 | 10.603 | 10.6059 | 10.5 | 10.5721 | 10.5 |
0.11 | 10.62678 | 10.62997 | 10.632 | 10.632 | 10.77329 | 10.632 | 10.60503 | 10.632 |
0.12 | 10.8838 | 10.8982 | 10.951 | 10.951 | 11.655 | 10.831 | 10.8838 | 10.951 |
0.13 | 13.15514 | 13.16411 | 13.22 | 13.22 | 13.21517 | 13.151 | 13.20689 | 13.151 |
0.14 | 13.30024 | 13.31676 | 13.338 | 13.338 | 13.41144 | 13.338 | 13.24124 | 13.338 |
0.15 | 13.4791 | 13.48165 | 13.491 | 13.491 | 13.5195 | 13.474 | 13.48335 | 13.474 |
0.16 | 13.6658 | 13.69212 | 13.681 | 13.681 | 13.78664 | 13.681 | 13.80888 | 13.681 |
0.17 | 13.85834 | 13.87041 | 13.891 | 13.891 | 13.91727 | 13.891 | 13.84059 | 13.891 |
0.18 | 14.0748 | 14.2017 | 14.667 | 14.667 | 14.6529 | 13.962 | 14.4273 | 13.962 |
0.19 | 14.75982 | 14.78243 | 14.786 | 14.786 | 15.01433 | 14.786 | 14.67057 | 14.786 |
0.2 | 15.2458 | 15.2822 | 15.355 | 15.355 | 15.3774 | 15.173 | 15.2458 | 15.355 |
0.21 | 15.47896 | 15.60454 | 16.065 | 16.065 | 15.95138 | 15.467 | 15.92746 | 15.467 |
0.22 | 16.33572 | 16.42878 | 16.488 | 16.488 | 16.8345 | 16.488 | 16.12422 | 16.488 |
0.23 | 17.50774 | 17.68001 | 18.062 | 18.062 | 18.06341 | 17.313 | 17.69499 | 17.313 |
0.24 | 18.10336 | 18.11332 | 18.109 | 18.109 | 18.13204 | 18.109 | 18.14068 | 18.109 |
0.25 | 18.1515 | 18.15475 | 18.158 | 18.158 | 18.16525 | 18.158 | 18.14825 | 18.158 |
0.26 | 18.187 | 18.187 | 18.187 | 18.187 | 18.187 | 18.187 | 18.187 | 18.187 |
0.27 | 18.37348 | 18.44021 | 18.439 | 18.439 | 18.49587 | 18.439 | 18.55879 | 18.439 |
0.28 | 18.60068 | 18.63232 | 18.673 | 18.673 | 18.70756 | 18.56 | 18.60068 | 18.673 |
0.29 | 19.09636 | 19.12309 | 19.105 | 19.105 | 19.15123 | 19.105 | 19.15391 | 19.105 |
0.3 | 19.172 | 19.172 | 19.172 | 19.172 | 19.3595 | 19.172 | 19.172 | 19.172 |
0.31 | 19.9312 | 20.1203 | 20.407 | 20.407 | 20.3521 | 19.797 | 20.0837 | 20.407 |
0.32 | 20.54644 | 20.63588 | 20.573 | 20.573 | 20.77736 | 20.573 | 20.90312 | 20.573 |
0.33 | 21.01614 | 21.05211 | 21.075 | 21.075 | 21.09424 | 20.966 | 20.98889 | 21.075 |
0.34 | 21.22836 | 21.25114 | 21.29 | 21.29 | 21.27258 | 21.223 | 21.26186 | 21.223 |
0.35 | 21.4818 | 21.576 | 21.564 | 21.564 | 21.648 | 21.564 | 21.792 | 21.564 |
0.36 | 21.92208 | 22.05492 | 22.173 | 22.173 | 22.15824 | 21.804 | 21.92208 | 22.173 |
0.37 | 22.53772 | 22.60657 | 22.561 | 22.561 | 22.64479 | 22.561 | 22.66243 | 22.561 |
0.38 | 22.88552 | 23.00598 | 23.025 | 23.025 | 23.115 | 23.025 | 22.72702 | 23.025 |
0.39 | 23.53058 | 23.54267 | 23.556 | 23.556 | 23.54949 | 23.525 | 23.53833 | 23.556 |
0.4 | 23.7856 | 23.8618 | 23.843 | 23.843 | 23.8806 | 23.843 | 23.9182 | 23.843 |
0.41 | 24.0105 | 24.08225 | 24.112 | 24.112 | 24.11588 | 23.937 | 23.96675 | 24.112 |
0.42 | 24.52108 | 24.74242 | 25.027 | 25.027 | 24.82674 | 24.5 | 24.78458 | 24.5 |
0.43 | 25.44346 | 25.69346 | 25.658 | 25.658 | 25.74862 | 25.658 | 26.01654 | 25.658 |
0.44 | 26.10576 | 26.19024 | 26.244 | 26.244 | 26.21328 | 26.052 | 26.10576 | 26.244 |
0.45 | 26.2953 | 26.3808 | 26.301 | 26.301 | 26.4036 | 26.301 | 26.4492 | 26.301 |
0.46 | 26.53056 | 26.53194 | 26.532 | 26.532 | 26.54868 | 26.532 | 26.52906 | 26.532 |
0.47 | 26.81532 | 26.83318 | 26.848 | 26.848 | 26.83546 | 26.81 | 26.82482 | 26.848 |
0.48 | 27.0608 | 27.15896 | 27.128 | 27.128 | 27.16412 | 27.128 | 27.22604 | 27.128 |
0.49 | 27.32122 | 27.40403 | 27.426 | 27.426 | 27.40741 | 27.257 | 27.27897 | 27.426 |
0.5 | 28.021 | 28.1755 | 28.021 | 28.1755 | 28.1755 | 28.021 | 28.1755 | 28.1755 |
0.51 | 28.36844 | 28.68801 | 28.392 | 28.392 | 28.64247 | 28.392 | 30.37299 | 28.392 |
0.52 | 30.82452 | 31.16148 | 31.317 | 31.317 | 31.13556 | 30.669 | 30.82452 | 31.317 |
0.53 | 31.45632 | 31.70091 | 31.479 | 31.479 | 31.66677 | 31.479 | 31.82609 | 31.479 |
0.54 | 32.19488 | 32.35412 | 32.354 | 32.354 | 32.33564 | 32.048 | 32.35988 | 32.354 |
0.55 | 32.369 | 32.4185 | 32.45 | 32.45 | 32.4095 | 32.36 | 32.3915 | 32.45 |
0.56 | 32.69408 | 32.85088 | 32.789 | 32.789 | 32.82436 | 32.789 | 32.94812 | 32.789 |
0.57 | 33.07086 | 33.17289 | 33.189 | 33.189 | 33.14783 | 33.01 | 33.02611 | 33.189 |
0.58 | 33.66612 | 33.69194 | 33.686 | 33.686 | 33.69018 | 33.686 | 33.69106 | 33.697 |
0.59 | 33.85766 | 34.02194 | 33.974 | 33.974 | 33.97123 | 33.974 | 34.20806 | 33.974 |
0.6 | 34.367 | 34.7 | 34.811 | 34.811 | 34.589 | 34.256 | 34.367 | 34.811 |
0.61 | 34.95368 | 35.06111 | 34.985 | 34.985 | 35.02217 | 34.985 | 35.08589 | 34.985 |
0.62 | 35.23284 | 35.32468 | 35.323 | 35.323 | 35.29402 | 35.162 | 35.34932 | 35.323 |
0.63 | 35.35862 | 35.43863 | 35.478 | 35.478 | 35.40561 | 35.351 | 35.39037 | 35.478 |
0.64 | 35.61604 | 35.69444 | 35.681 | 35.681 | 35.68268 | 35.681 | 35.70956 | 35.681 |
0.65 | 35.7467 | 35.79805 | 35.802 | 35.802 | 35.77435 | 35.723 | 35.72695 | 35.802 |
0.66 | 35.8894 | 36.5205 | 35.897 | 35.897 | 36.1765 | 35.897 | 36.3485 | 36.972 |
0.67 | 37.36512 | 37.73717 | 37.7 | 37.7 | 37.60536 | 37.7 | 37.83983 | 37.7 |
0.68 | 37.91188 | 38.06012 | 38.095 | 38.095 | 37.98164 | 37.877 | 37.91188 | 38.095 |
0.69 | 39.71662 | 40.2915 | 40.174 | 40.174 | 40.1965 | 40.174 | 40.3065 | 40.174 |
0.7 | 40.5896 | 40.8872 | 40.838 | 40.838 | 40.7138 | 40.424 | 41.2808 | 40.838 |
0.71 | 41.33458 | 41.49717 | 41.559 | 41.559 | 41.40099 | 41.33 | 41.39183 | 41.559 |
0.72 | 41.62812 | 41.802 | 41.667 | 41.667 | 41.65836 | 41.667 | 41.907 | 41.667 |
0.73 | 42.27834 | 42.94191 | 42.951 | 42.951 | 42.52377 | 42.042 | 42.05109 | 42.951 |
0.74 | 43.34788 | 45.76296 | 43.402 | 43.402 | 43.93512 | 43.402 | 44.84904 | 47.21 |
0.75 | 47.691 | 48.19575 | 48.172 | 48.172 | 47.9315 | 48.172 | 48.24325 | 48.172 |
0.76 | 48.30432 | 48.54068 | 48.578 | 48.578 | 48.37896 | 48.267 | 48.30432 | 48.578 |
0.77 | 48.95984 | 49.15724 | 49.094 | 49.094 | 49.07852 | 49.094 | 49.15476 | 49.218 |
0.78 | 49.30836 | 49.55846 | 49.469 | 49.469 | 49.36358 | 49.218 | 50.01854 | 49.469 |
0.79 | 50.09522 | 50.18038 | 50.108 | 50.108 | 50.12586 | 50.108 | 50.12962 | 50.202 |
0.8 | 50.3772 | 50.7772 | 50.494 | 50.494 | 50.4356 | 50.494 | 50.9188 | 50.494 |
0.81 | 51.3747 | 51.98751 | 51.987 | 51.987 | 51.52385 | 51.202 | 52.00349 | 51.987 |
0.82 | 52.00128 | 52.97816 | 52.004 | 52.004 | 52.03352 | 52.004 | 52.50584 | 53.48 |
0.83 | 53.70816 | 54.03487 | 53.976 | 53.976 | 53.79248 | 53.48 | 54.12013 | 53.976 |
0.84 | 54.40068 | 56.72832 | 56.95 | 56.95 | 54.84404 | 54.179 | 54.40068 | 56.95 |
0.85 | 57.0515 | 57.2589 | 57.095 | 57.095 | 57.07325 | 57.095 | 57.2291 | 57.393 |
0.86 | 57.50756 | 58.21162 | 57.751 | 57.751 | 57.55768 | 57.393 | 59.84938 | 57.751 |
0.87 | 60.15646 | 60.4639 | 60.31 | 60.31 | 60.3233 | 60.31 | 60.3461 | 60.5 |
0.88 | 60.5196 | 60.535 | 60.535 | 60.535 | 60.5238 | 60.535 | 60.535 | 60.535 |
0.89 | 61.63732 | 66.76162 | 66.659 | 66.659 | 62.31096 | 60.535 | 68.02238 | 66.659 |
0.9 | 67.8318 | 68.7823 | 68.125 | 68.125 | 67.9784 | 68.125 | 68.4067 | 69.064 |
0.91 | 73.5139 | 80.13486 | 79.659 | 79.659 | 74.46745 | 69.064 | 80.62514 | 79.659 |
0.92 | 81.29308 | 85.71092 | 85.903 | 85.903 | 81.67724 | 81.101 | 81.29308 | 85.903 |
0.93 | 85.96702 | 86.80063 | 86 | 86 | 85.97381 | 86 | 86.55637 | 87.357 |
0.94 | 87.882 | 89.63768 | 89.232 | 89.232 | 87.9945 | 87.357 | 90.67032 | 89.232 |
0.95 | 90.8916 | 104.30285 | 91.076 | 91.076 | 90.9838 | 91.076 | 93.41015 | 106.637 |
0.96 | 108.56724 | 127.38756 | 110.349 | 110.349 | 108.71572 | 110.349 | 128.80744 | 110.349 |
0.97 | 152.6899 | 199.89319 | 194.731 | 194.731 | 154.15645 | 145.846 | 236.49781 | 194.731 |
0.98 | 230.39704 | 248.00476 | 241.66 | 241.66 | 231.33562 | 241.66 | 243.88924 | 250.234 |
0.99 | 262.98946 | 290.87207 | 283.801 | 283.801 | 263.32513 | 250.234 | 295.84093 | 283.801 |