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 | 24375 | 24375 | 24375 | 24375 | 24474.75 | 24375 | 24375 | 24375 |
0.02 | 24654 | 24654.5 | 24675 | 24675 | 24675 | 24650 | 24670.5 | 24650 |
0.03 | 24712 | 24713.5 | 24725 | 24725 | 24742.75 | 24725 | 24686.5 | 24725 |
0.04 | 24758 | 24759 | 24775 | 24775 | 24775 | 24750 | 24766 | 24750 |
0.05 | 24797.5 | 24798.75 | 24800 | 24800 | 24821.25 | 24800 | 24776.25 | 24800 |
0.06 | 24825 | 24825 | 24825 | 24825 | 24846 | 24825 | 24825 | 24825 |
0.07 | 24876.5 | 24878.25 | 24900 | 24900 | 24899.75 | 24875 | 24896.75 | 24875 |
0.08 | 24966 | 24968 | 24975 | 24975 | 24975 | 24975 | 24957 | 24975 |
0.09 | 25105.5 | 25107.75 | 25125 | 25125 | 25125 | 25100 | 25117.25 | 25100 |
0.1 | 25125 | 25125 | 25125 | 25125 | 25160 | 25125 | 25125 | 25125 |
0.11 | 25325 | 25325 | 25325 | 25325 | 25338.5 | 25325 | 25325 | 25325 |
0.12 | 25399 | 25400 | 25400 | 25400 | 25400 | 25400 | 25400 | 25400 |
0.13 | 25508 | 25534 | 25600 | 25600 | 25610.25 | 25600 | 25466 | 25600 |
0.14 | 25828 | 25831.5 | 25850 | 25850 | 25849.5 | 25825 | 25843.5 | 25825 |
0.15 | 25885 | 25892.5 | 25900 | 25900 | 25900 | 25900 | 25857.5 | 25900 |
0.16 | 25921 | 25933 | 25975 | 25975 | 25975 | 25900 | 25942 | 25900 |
0.17 | 25996.5 | 26000 | 26000 | 26000 | 26000 | 26000 | 26000 | 26000 |
0.18 | 26050 | 26050 | 26050 | 26050 | 26056.5 | 26050 | 26050 | 26050 |
0.19 | 26075.5 | 26080.25 | 26100 | 26100 | 26095.75 | 26075 | 26094.75 | 26075 |
0.2 | 26140 | 26145 | 26150 | 26150 | 26150 | 26150 | 26130 | 26150 |
0.21 | 26179.5 | 26184.75 | 26200 | 26200 | 26199.25 | 26175 | 26190.25 | 26175 |
0.22 | 26225 | 26225 | 26225 | 26225 | 26252 | 26225 | 26225 | 26225 |
0.23 | 26275 | 26275 | 26275 | 26275 | 26275 | 26275 | 26275 | 26275 |
0.24 | 26275 | 26275 | 26275 | 26275 | 26275 | 26275 | 26275 | 26275 |
0.25 | 26325 | 26350 | 26375 | 26375 | 26387.5 | 26375 | 26300 | 26375 |
0.26 | 26477 | 26483.5 | 26500 | 26500 | 26495.5 | 26475 | 26491.5 | 26475 |
0.27 | 26690.5 | 26737.75 | 26750 | 26750 | 26798.75 | 26750 | 26587.25 | 26750 |
0.28 | 26931 | 26938 | 26950 | 26950 | 26949 | 26925 | 26937 | 26950 |
0.29 | 27061.5 | 27075 | 27075 | 27075 | 27075 | 27075 | 27075 | 27075 |
0.3 | 27135 | 27142.5 | 27150 | 27150 | 27150 | 27125 | 27132.5 | 27150 |
0.31 | 27150 | 27229.75 | 27150 | 27150 | 27334.25 | 27150 | 27345.25 | 27150 |
0.32 | 27475 | 27475 | 27475 | 27475 | 27487 | 27475 | 27475 | 27475 |
0.33 | 27688 | 27836.5 | 28075 | 28075 | 27989.5 | 27625 | 27863.5 | 27625 |
0.34 | 28147 | 28185.5 | 28175 | 28175 | 28241.5 | 28175 | 28339.5 | 28175 |
0.35 | 28395 | 28447.5 | 28500 | 28500 | 28492.5 | 28350 | 28402.5 | 28500 |
0.36 | 28522 | 28537 | 28525 | 28525 | 28551 | 28525 | 28563 | 28525 |
0.37 | 28625 | 28625 | 28625 | 28625 | 28647.5 | 28625 | 28625 | 28625 |
0.38 | 28925 | 28925 | 28925 | 28925 | 28925 | 28925 | 28925 | 28925 |
0.39 | 28950 | 28951 | 28950 | 28950 | 28973 | 28950 | 29049 | 28950 |
0.4 | 29100 | 29100 | 29100 | 29100 | 29100 | 29100 | 29100 | 29100 |
0.41 | 29408.5 | 29429.75 | 29425 | 29425 | 29434.25 | 29425 | 29445.25 | 29425 |
0.42 | 29486 | 29528 | 29550 | 29550 | 29544 | 29450 | 29472 | 29550 |
0.43 | 29575 | 29621.25 | 29575 | 29575 | 29638.75 | 29575 | 29653.75 | 29575 |
0.44 | 29765 | 29820 | 29825 | 29825 | 29839 | 29825 | 29705 | 29825 |
0.45 | 30125 | 30125 | 30125 | 30125 | 30125 | 30125 | 30125 | 30125 |
0.46 | 30159 | 30182 | 30175 | 30175 | 30186 | 30175 | 30218 | 30175 |
0.47 | 30306.5 | 30318.25 | 30325 | 30325 | 30319.75 | 30300 | 30306.75 | 30325 |
0.48 | 30371 | 30375 | 30375 | 30375 | 30375 | 30375 | 30375 | 30375 |
0.49 | 30410.5 | 30422.75 | 30425 | 30425 | 30423.25 | 30400 | 30402.25 | 30425 |
0.5 | 30525 | 30537.5 | 30525 | 30537.5 | 30537.5 | 30525 | 30537.5 | 30537.5 |
0.51 | 30564.5 | 30575 | 30575 | 30575 | 30575 | 30575 | 30575 | 30575 |
0.52 | 30604 | 30617 | 30625 | 30625 | 30616 | 30600 | 30608 | 30625 |
0.53 | 30625 | 30631.75 | 30625 | 30625 | 30630.25 | 30625 | 30643.25 | 30625 |
0.54 | 30700 | 30700 | 30700 | 30700 | 30700 | 30700 | 30700 | 30700 |
0.55 | 30722.5 | 30725 | 30725 | 30725 | 30725 | 30725 | 30725 | 30725 |
0.56 | 30750 | 30751 | 30750 | 30750 | 30750 | 30750 | 30774 | 30750 |
0.57 | 30800 | 30800 | 30800 | 30800 | 30800 | 30800 | 30800 | 30800 |
0.58 | 30800 | 30805.5 | 30800 | 30800 | 30801.5 | 30800 | 30819.5 | 30800 |
0.59 | 30850 | 30850 | 30850 | 30850 | 30850 | 30850 | 30850 | 30850 |
0.6 | 30870 | 30885 | 30875 | 30875 | 30880 | 30875 | 30890 | 30875 |
0.61 | 30900 | 30900 | 30900 | 30900 | 30900 | 30900 | 30900 | 30900 |
0.62 | 30974 | 30975 | 30975 | 30975 | 30975 | 30975 | 30975 | 30975 |
0.63 | 30988.5 | 31000 | 31000 | 31000 | 30997.75 | 31000 | 31000 | 31000 |
0.64 | 31000 | 31000 | 31000 | 31000 | 31000 | 31000 | 31000 | 31000 |
0.65 | 31000 | 31000 | 31000 | 31000 | 31000 | 31000 | 31000 | 31000 |
0.66 | 31025 | 31025 | 31025 | 31025 | 31025 | 31025 | 31025 | 31025 |
0.67 | 31025 | 31051.5 | 31025 | 31025 | 31034.5 | 31025 | 31048.5 | 31075 |
0.68 | 31086 | 31100 | 31100 | 31100 | 31094 | 31075 | 31100 | 31100 |
0.69 | 31125 | 31125 | 31125 | 31125 | 31125 | 31125 | 31125 | 31125 |
0.7 | 31150 | 31150 | 31150 | 31150 | 31150 | 31150 | 31150 | 31150 |
0.71 | 31175 | 31175 | 31175 | 31175 | 31175 | 31175 | 31175 | 31175 |
0.72 | 31257 | 31275 | 31275 | 31275 | 31275 | 31275 | 31275 | 31275 |
0.73 | 31333.5 | 31350 | 31350 | 31350 | 31340.25 | 31325 | 31350 | 31350 |
0.74 | 31373 | 31375 | 31375 | 31375 | 31375 | 31375 | 31375 | 31375 |
0.75 | 31450 | 31506.25 | 31500 | 31500 | 31475 | 31500 | 31518.75 | 31500 |
0.76 | 31575 | 31575 | 31575 | 31575 | 31575 | 31575 | 31575 | 31575 |
0.77 | 31616.5 | 31635.75 | 31625 | 31625 | 31622.25 | 31625 | 31639.25 | 31625 |
0.78 | 31650 | 31651.5 | 31650 | 31650 | 31650 | 31650 | 31723.5 | 31650 |
0.79 | 31745.5 | 31780.5 | 31750 | 31750 | 31751.5 | 31750 | 31769.5 | 31800 |
0.8 | 31820 | 31875 | 31850 | 31850 | 31830 | 31800 | 31950 | 31850 |
0.81 | 31975 | 31975 | 31975 | 31975 | 31975 | 31975 | 31975 | 31975 |
0.82 | 32003 | 32025 | 32025 | 32025 | 32012 | 32025 | 32025 | 32025 |
0.83 | 32053.5 | 32074.25 | 32075 | 32075 | 32057.75 | 32050 | 32050.75 | 32075 |
0.84 | 32100 | 32100 | 32100 | 32100 | 32100 | 32100 | 32100 | 32100 |
0.85 | 32175 | 32186.25 | 32175 | 32175 | 32175 | 32175 | 32238.75 | 32175 |
0.86 | 32272 | 32275 | 32275 | 32275 | 32275 | 32275 | 32275 | 32275 |
0.87 | 32300 | 32308.25 | 32300 | 32300 | 32300 | 32300 | 32316.75 | 32300 |
0.88 | 32377 | 32421 | 32425 | 32425 | 32383 | 32375 | 32379 | 32425 |
0.89 | 32481 | 32538.25 | 32500 | 32500 | 32486.5 | 32500 | 32536.75 | 32575 |
0.9 | 32735 | 32780 | 32775 | 32775 | 32740 | 32725 | 32820 | 32775 |
0.91 | 32883.5 | 32969 | 32900 | 32900 | 32890.25 | 32900 | 32931 | 33000 |
0.92 | 33104 | 33228 | 33200 | 33200 | 33116 | 33050 | 33272 | 33200 |
0.93 | 33394 | 33400 | 33400 | 33400 | 33400 | 33400 | 33400 | 33400 |
0.94 | 33464 | 33500 | 33500 | 33500 | 33468.5 | 33500 | 33500 | 33500 |
0.95 | 33527.5 | 33550 | 33550 | 33550 | 33528.75 | 33525 | 33550 | 33550 |
0.96 | 33550 | 33582 | 33550 | 33550 | 33550 | 33550 | 33568 | 33600 |
0.97 | 33626 | 33705.75 | 33700 | 33700 | 33629 | 33600 | 33719.25 | 33700 |
0.98 | 33767 | 33795.5 | 33775 | 33775 | 33768 | 33775 | 33779.5 | 33800 |
0.99 | 34000 | 34041 | 34000 | 34000 | 34000 | 34000 | 34059 | 34000 |