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 | 72.9692 | 72.9834 | 73.594 | 73.594 | 76.37425 | 73.594 | 72.7846 | 73.594 |
0.02 | 78.7048 | 78.7141 | 79.114 | 79.114 | 79.1382 | 78.649 | 79.0489 | 78.649 |
0.03 | 79.27856 | 79.28582 | 79.356 | 79.356 | 80.461 | 79.356 | 79.18418 | 79.356 |
0.04 | 81.0668 | 81.0686 | 81.101 | 81.101 | 81.3482 | 81.056 | 81.0884 | 81.056 |
0.05 | 82.0898 | 82.1516 | 82.337 | 82.337 | 82.754 | 82.337 | 81.2864 | 82.337 |
0.06 | 83.07588 | 83.10636 | 83.401 | 83.401 | 84.0778 | 82.893 | 83.18764 | 82.893 |
0.07 | 85.47652 | 85.63444 | 85.657 | 85.657 | 90.18665 | 85.657 | 83.42356 | 85.657 |
0.08 | 93.17144 | 93.53568 | 95.539 | 95.539 | 95.8818 | 90.986 | 92.98932 | 95.539 |
0.09 | 96.49276 | 96.71047 | 98.815 | 98.815 | 98.69405 | 96.396 | 98.50053 | 96.396 |
0.1 | 100.3558 | 100.6126 | 101.383 | 101.383 | 101.6235 | 101.383 | 99.5854 | 101.383 |
0.11 | 101.87328 | 101.87966 | 101.922 | 101.922 | 101.98245 | 101.864 | 101.90634 | 101.864 |
0.12 | 102.79248 | 102.93756 | 103.131 | 103.131 | 103.455 | 103.131 | 102.11544 | 103.131 |
0.13 | 103.7368 | 103.76735 | 103.906 | 103.906 | 103.9786 | 103.671 | 103.80965 | 103.671 |
0.14 | 104.31256 | 104.38032 | 104.39 | 104.39 | 104.6966 | 104.39 | 103.91568 | 104.39 |
0.15 | 105.0728 | 105.1646 | 105.44 | 105.44 | 106.03125 | 104.828 | 105.1034 | 105.44 |
0.16 | 107.7104 | 107.80608 | 107.805 | 107.805 | 107.8122 | 107.805 | 107.81292 | 107.805 |
0.17 | 107.81816 | 107.81952 | 107.822 | 107.822 | 108.0236 | 107.822 | 107.81648 | 107.822 |
0.18 | 108.5812 | 108.9934 | 110.688 | 110.688 | 110.459 | 108.398 | 110.0926 | 108.398 |
0.19 | 111.2736 | 111.44745 | 111.603 | 111.603 | 111.92295 | 111.603 | 110.84355 | 111.603 |
0.2 | 112.392 | 112.47 | 112.704 | 112.704 | 112.704 | 112.314 | 112.548 | 112.314 |
0.21 | 113.05284 | 113.14923 | 113.163 | 113.163 | 113.26255 | 113.163 | 112.71777 | 113.163 |
0.22 | 113.8448 | 114.1891 | 114.909 | 114.909 | 114.9289 | 113.344 | 114.0639 | 114.909 |
0.23 | 115.08412 | 115.11537 | 115.108 | 115.108 | 115.15155 | 115.108 | 115.16763 | 115.108 |
0.24 | 115.307 | 115.379 | 115.475 | 115.475 | 115.8764 | 115.175 | 115.271 | 115.475 |
0.25 | 117.482 | 117.96225 | 117.482 | 118.4425 | 118.92275 | 117.482 | 118.92275 | 117.482 |
0.26 | 119.92212 | 120.16314 | 120.33 | 120.33 | 120.8949 | 120.33 | 119.56986 | 120.33 |
0.27 | 122.32124 | 122.56478 | 123.115 | 123.115 | 122.9797 | 122.213 | 122.76322 | 122.213 |
0.28 | 123.20068 | 123.23596 | 123.241 | 123.241 | 123.403 | 123.241 | 123.12004 | 123.241 |
0.29 | 123.71368 | 123.79546 | 123.928 | 123.928 | 123.9139 | 123.646 | 123.77854 | 123.928 |
0.3 | 125.2928 | 125.6476 | 125.634 | 125.634 | 125.702 | 125.634 | 125.7564 | 125.634 |
0.31 | 125.78584 | 125.79948 | 125.814 | 125.814 | 125.8419 | 125.77 | 125.78452 | 125.814 |
0.32 | 126.32736 | 126.44304 | 126.372 | 126.372 | 126.5496 | 126.372 | 126.59696 | 126.372 |
0.33 | 126.76112 | 126.82514 | 126.862 | 126.862 | 126.9082 | 126.668 | 126.70486 | 126.862 |
0.34 | 127.19132 | 127.37254 | 127.703 | 127.703 | 127.5431 | 127.17 | 127.50046 | 127.17 |
0.35 | 127.856 | 127.94525 | 127.958 | 127.958 | 128.04775 | 127.958 | 127.71575 | 127.958 |
0.36 | 128.52308 | 128.98676 | 129.605 | 129.605 | 129.3474 | 128.317 | 128.93524 | 129.605 |
0.37 | 129.95636 | 130.13737 | 130.093 | 130.093 | 130.26555 | 130.093 | 130.54163 | 130.093 |
0.38 | 130.8632 | 131.2394 | 131.576 | 131.576 | 131.477 | 130.586 | 130.9226 | 131.576 |
0.39 | 131.72468 | 132.08926 | 131.753 | 131.753 | 132.4109 | 131.753 | 132.87874 | 131.753 |
0.4 | 133.5962 | 133.9774 | 134.168 | 134.168 | 134.168 | 133.215 | 133.4056 | 134.168 |
0.41 | 134.49152 | 135.02929 | 134.505 | 134.505 | 135.28435 | 134.505 | 135.39771 | 134.505 |
0.42 | 136.49244 | 136.95318 | 137.019 | 137.019 | 137.0606 | 137.019 | 135.98782 | 137.019 |
0.43 | 137.48876 | 137.77772 | 138.107 | 138.107 | 137.8718 | 137.435 | 137.76428 | 138.107 |
0.44 | 138.31436 | 138.44116 | 138.431 | 138.431 | 138.4564 | 138.431 | 138.54784 | 138.431 |
0.45 | 138.6426 | 138.83295 | 138.981 | 138.981 | 138.87525 | 138.558 | 138.70605 | 138.981 |
0.46 | 139.96444 | 140.57706 | 140.275 | 140.275 | 140.6869 | 140.275 | 141.34594 | 140.275 |
0.47 | 141.6832 | 141.7349 | 141.758 | 141.758 | 141.7415 | 141.648 | 141.6711 | 141.758 |
0.48 | 144.1648 | 144.74572 | 144.493 | 144.493 | 144.7738 | 144.493 | 144.94228 | 144.493 |
0.49 | 145.60332 | 146.05804 | 146.123 | 146.123 | 146.0766 | 145.195 | 145.25996 | 146.123 |
0.5 | 146.564 | 146.938 | 146.564 | 146.938 | 146.938 | 146.564 | 146.938 | 146.938 |
0.51 | 148.12456 | 148.81214 | 148.763 | 148.763 | 148.7981 | 148.763 | 149.41586 | 148.763 |
0.52 | 149.50364 | 149.67108 | 149.787 | 149.787 | 149.6582 | 149.465 | 149.58092 | 149.787 |
0.53 | 150.52684 | 150.8981 | 150.875 | 150.875 | 150.8915 | 150.875 | 150.9619 | 150.875 |
0.54 | 151.29388 | 151.98886 | 152.272 | 152.272 | 151.8859 | 150.985 | 151.26814 | 152.272 |
0.55 | 152.76 | 153.48715 | 152.882 | 152.882 | 153.31425 | 152.882 | 154.00585 | 152.882 |
0.56 | 154.88028 | 155.29916 | 155.359 | 155.359 | 155.2094 | 154.611 | 154.67084 | 155.359 |
0.57 | 155.69388 | 155.75044 | 155.723 | 155.723 | 155.7426 | 155.723 | 155.75156 | 155.723 |
0.58 | 155.88508 | 156.0243 | 156 | 156 | 155.9779 | 155.779 | 156.3807 | 156 |
0.59 | 156.51296 | 158.10537 | 159.104 | 159.104 | 157.61955 | 156.405 | 157.40363 | 159.104 |
0.6 | 160.8386 | 162.2232 | 161.995 | 161.995 | 161.995 | 161.995 | 162.9078 | 161.995 |
0.61 | 163.1824 | 163.3593 | 163.426 | 163.426 | 163.2955 | 163.136 | 163.2027 | 163.426 |
0.62 | 164.30152 | 165.29004 | 164.642 | 164.642 | 164.8326 | 164.642 | 165.89996 | 164.642 |
0.63 | 166.5648 | 166.6026 | 166.608 | 166.608 | 166.587 | 166.548 | 166.5534 | 166.608 |
0.64 | 166.76592 | 167.27984 | 166.796 | 166.796 | 166.9976 | 166.796 | 167.32016 | 166.796 |
0.65 | 168.072 | 168.65505 | 168.474 | 168.474 | 168.3065 | 167.804 | 171.91395 | 168.474 |
0.66 | 171.95016 | 172.4732 | 172.095 | 172.095 | 172.278 | 172.095 | 172.3268 | 172.705 |
0.67 | 172.82512 | 173.39067 | 172.936 | 172.936 | 172.90135 | 172.936 | 174.87433 | 172.936 |
0.68 | 175.35428 | 175.56916 | 175.645 | 175.645 | 175.4554 | 175.329 | 175.40484 | 175.645 |
0.69 | 176.9634 | 177.81291 | 177.705 | 177.705 | 177.602 | 177.705 | 177.92409 | 177.705 |
0.7 | 178.09 | 178.293 | 178.322 | 178.322 | 178.177 | 178.032 | 178.061 | 178.322 |
0.71 | 178.84184 | 179.64379 | 179.006 | 179.006 | 179.07385 | 179.006 | 179.72521 | 179.006 |
0.72 | 182.9838 | 188.55464 | 188.553 | 188.553 | 185.277 | 180.363 | 188.59236 | 188.553 |
0.73 | 188.58908 | 188.67269 | 188.594 | 188.594 | 188.61335 | 188.594 | 188.64431 | 188.723 |
0.74 | 189.11768 | 189.6983 | 189.62 | 189.62 | 189.3509 | 188.723 | 189.9767 | 189.62 |
0.75 | 190.055 | 190.29875 | 190.055 | 190.2175 | 190.13625 | 190.055 | 190.13625 | 190.38 |
0.76 | 191.61312 | 194.18904 | 192.582 | 192.582 | 192.1416 | 192.582 | 195.99696 | 192.582 |
0.77 | 197.6772 | 198.1469 | 198.214 | 198.214 | 197.8175 | 197.604 | 197.6711 | 198.214 |
0.78 | 198.38332 | 199.96766 | 198.463 | 198.463 | 198.4381 | 198.463 | 200.22934 | 198.463 |
0.79 | 201.90128 | 202.70493 | 202.431 | 202.431 | 202.04765 | 201.734 | 211.28807 | 202.431 |
0.8 | 209.7358 | 212.9402 | 211.562 | 211.562 | 211.562 | 211.562 | 212.4808 | 213.859 |
0.81 | 215.0218 | 217.43325 | 217.089 | 217.089 | 215.6355 | 213.859 | 218.76975 | 217.089 |
0.82 | 218.952 | 219.50398 | 219.114 | 219.114 | 219.1667 | 219.114 | 219.25102 | 219.641 |
0.83 | 219.70724 | 222.74911 | 219.779 | 219.779 | 219.7307 | 219.641 | 226.38989 | 219.779 |
0.84 | 229.60864 | 234.83008 | 235.576 | 235.576 | 230.6032 | 229.36 | 230.10592 | 235.576 |
0.85 | 239.872 | 243.17835 | 242.736 | 242.736 | 240.946 | 242.736 | 243.27665 | 242.736 |
0.86 | 244.24812 | 247.0969 | 247.026 | 247.026 | 244.7111 | 243.719 | 250.5001 | 247.026 |
0.87 | 249.5784 | 251.10082 | 250.571 | 250.571 | 250.03925 | 250.571 | 250.93918 | 251.469 |
0.88 | 252.94376 | 257.96304 | 256.736 | 256.736 | 253.5758 | 251.469 | 263.17796 | 256.736 |
0.89 | 263.17796 | 276.45292 | 264.405 | 264.405 | 264.02155 | 264.405 | 268.86108 | 280.909 |
0.9 | 282.5318 | 285.7763 | 284.966 | 284.966 | 282.9375 | 280.909 | 286.8567 | 284.966 |
0.91 | 287.55896 | 293.49948 | 287.667 | 287.667 | 288.0022 | 287.667 | 288.53852 | 294.371 |
0.92 | 297.42236 | 304.7402 | 300.239 | 300.239 | 297.8918 | 300.239 | 305.9678 | 300.239 |
0.93 | 311.96612 | 329.64562 | 329.183 | 329.183 | 313.2761 | 310.469 | 374.98238 | 329.183 |
0.94 | 358.79068 | 384.71804 | 375.445 | 375.445 | 361.5664 | 375.445 | 382.15996 | 391.433 |
0.95 | 406.5432 | 474.9526 | 466.984 | 466.984 | 410.32075 | 391.433 | 512.1394 | 466.984 |
0.96 | 507.35824 | 545.39728 | 520.108 | 520.108 | 509.4832 | 520.108 | 529.94272 | 555.232 |
0.97 | 558.17344 | 567.69346 | 564.424 | 564.424 | 558.4492 | 555.232 | 572.42854 | 564.424 |
0.98 | 574.34512 | 613.12692 | 575.698 | 575.698 | 574.5706 | 575.698 | 581.79108 | 619.22 |
0.99 | 680.0038 | 799.70323 | 757.365 | 757.365 | 681.38525 | 619.22 | 813.48777 | 757.365 |