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 | 6.42643 | 6.4678 | 8.95 | 8.95 | 18.46862 | 4.813 | 7.2952 | 4.813 |
0.02 | 28.48822 | 28.9892 | 33.999 | 33.999 | 36.30104 | 33.999 | 13.9598 | 33.999 |
0.03 | 37.37123 | 37.4318 | 39.047 | 39.047 | 41.62622 | 37.028 | 38.6432 | 37.028 |
0.04 | 49.36388 | 50.1008 | 57.47 | 57.47 | 58.58228 | 57.47 | 46.4162 | 57.47 |
0.05 | 59.50205 | 59.609 | 59.609 | 59.609 | 61.9013 | 59.609 | 59.609 | 59.609 |
0.06 | 62.7884 | 62.9 | 64.016 | 64.016 | 65.95444 | 62.156 | 63.272 | 62.156 |
0.07 | 69.06979 | 69.5544 | 70.939 | 70.939 | 72.1963 | 70.939 | 65.4006 | 70.939 |
0.08 | 74.314 | 75.294 | 85.094 | 85.094 | 85.15344 | 72.844 | 82.644 | 72.844 |
0.09 | 85.85186 | 85.9856 | 86.58 | 86.58 | 93.85356 | 86.58 | 85.6884 | 86.58 |
0.1 | 102.1662 | 103.898 | 103.898 | 103.898 | 108.1516 | 103.898 | 103.898 | 103.898 |
0.11 | 115.76813 | 118.2538 | 131.812 | 131.812 | 132.6472 | 109.215 | 122.7732 | 109.215 |
0.12 | 134.9672 | 135.524 | 136.452 | 136.452 | 136.65416 | 136.452 | 132.74 | 136.452 |
0.13 | 136.86459 | 136.9604 | 137.55 | 137.55 | 137.50578 | 136.813 | 137.4026 | 136.813 |
0.14 | 138.82466 | 139.2126 | 140.321 | 140.321 | 143.42916 | 137.55 | 138.6584 | 140.321 |
0.15 | 148.57705 | 150.034 | 150.034 | 150.034 | 154.3411 | 150.034 | 150.034 | 150.034 |
0.16 | 156.6334 | 156.931 | 158.047 | 158.047 | 158.99212 | 156.187 | 157.303 | 156.187 |
0.17 | 165.48982 | 167.4982 | 169.861 | 169.861 | 170.50454 | 169.861 | 160.4098 | 169.861 |
0.18 | 171.26136 | 171.2736 | 171.328 | 171.328 | 171.31712 | 171.26 | 171.3144 | 171.26 |
0.19 | 175.2189 | 177.022 | 180.818 | 180.818 | 181.33896 | 171.328 | 175.124 | 180.818 |
0.2 | 182.7124 | 183.186 | 183.186 | 183.186 | 183.4422 | 183.186 | 183.186 | 183.186 |
0.21 | 183.80832 | 184.0242 | 184.641 | 184.641 | 184.62044 | 183.613 | 184.2298 | 183.613 |
0.22 | 186.5202 | 187.233 | 187.881 | 187.881 | 188.70036 | 187.881 | 185.289 | 187.881 |
0.23 | 190.08872 | 190.2014 | 190.157 | 190.157 | 190.32128 | 190.157 | 190.3346 | 190.157 |
0.24 | 190.90316 | 191.2526 | 191.835 | 191.835 | 191.95044 | 190.379 | 190.9614 | 191.835 |
0.25 | 192.5565 | 192.797 | 192.797 | 192.797 | 193.048 | 192.797 | 192.797 | 192.797 |
0.26 | 193.894 | 194.999 | 197.549 | 197.549 | 197.039 | 193.299 | 195.849 | 193.299 |
0.27 | 197.94491 | 198.1466 | 198.296 | 198.296 | 198.55626 | 198.296 | 197.6984 | 198.296 |
0.28 | 199.21692 | 199.3868 | 199.297 | 199.297 | 199.58436 | 199.297 | 199.6562 | 199.297 |
0.29 | 199.8731 | 199.992 | 200.156 | 200.156 | 200.21442 | 199.746 | 199.91 | 200.156 |
0.3 | 202.2007 | 203.077 | 203.077 | 203.077 | 203.6006 | 203.077 | 203.077 | 203.077 |
0.31 | 204.60065 | 205.34 | 206.771 | 206.771 | 206.2463 | 204.386 | 205.817 | 204.386 |
0.32 | 206.82956 | 206.8686 | 206.893 | 206.893 | 206.9954 | 206.771 | 206.7954 | 206.893 |
0.33 | 207.4498 | 207.648 | 207.533 | 207.533 | 207.8435 | 207.533 | 207.993 | 207.533 |
0.34 | 209.03022 | 210.2362 | 211.655 | 211.655 | 211.37124 | 208.108 | 209.5268 | 211.655 |
0.35 | 212.7639 | 213.361 | 213.361 | 213.361 | 213.406 | 213.361 | 213.361 | 213.361 |
0.36 | 213.52748 | 213.6758 | 213.923 | 213.923 | 213.79116 | 213.511 | 213.7582 | 213.511 |
0.37 | 214.83589 | 215.6214 | 216.046 | 216.046 | 216.07612 | 213.923 | 214.3476 | 216.046 |
0.38 | 216.45764 | 216.6156 | 216.548 | 216.548 | 216.69672 | 216.548 | 216.8184 | 216.548 |
0.39 | 217.00759 | 217.2334 | 217.465 | 217.465 | 217.36078 | 216.886 | 217.1176 | 217.465 |
0.4 | 218.2426 | 218.761 | 218.761 | 218.761 | 219.1194 | 218.761 | 218.761 | 218.761 |
0.41 | 220.53508 | 220.967 | 220.553 | 220.553 | 221.1533 | 220.553 | 221.174 | 220.553 |
0.42 | 222.18764 | 222.8504 | 223.166 | 223.166 | 223.10288 | 221.588 | 221.9036 | 223.166 |
0.43 | 225.91105 | 227.313 | 226.731 | 226.731 | 227.7204 | 226.731 | 229.059 | 226.731 |
0.44 | 230.08948 | 231.3228 | 232.444 | 232.444 | 231.65916 | 229.641 | 230.7622 | 232.444 |
0.45 | 232.56775 | 232.669 | 232.669 | 232.669 | 232.9598 | 232.669 | 232.669 | 232.669 |
0.46 | 235.40252 | 235.867 | 235.577 | 235.577 | 235.925 | 235.577 | 236.012 | 235.577 |
0.47 | 236.43664 | 236.6284 | 236.71 | 236.71 | 236.65288 | 236.302 | 236.3836 | 236.71 |
0.48 | 238.00024 | 238.7796 | 238.502 | 238.502 | 238.83512 | 238.502 | 239.6124 | 238.502 |
0.49 | 239.98515 | 240.409 | 240.755 | 240.755 | 240.4263 | 239.89 | 240.236 | 240.755 |
0.5 | 240.963 | 241.171 | 241.171 | 241.171 | 241.171 | 241.171 | 241.171 | 241.171 |
0.51 | 242.09126 | 242.2606 | 242.205 | 242.205 | 242.25782 | 242.205 | 242.2884 | 242.205 |
0.52 | 243.51944 | 245.7024 | 246.542 | 246.542 | 245.53448 | 242.344 | 243.1836 | 246.542 |
0.53 | 248.28802 | 249.3998 | 249.148 | 249.148 | 249.32426 | 249.148 | 250.1552 | 249.148 |
0.54 | 250.4679 | 251.016 | 251.422 | 251.422 | 250.9348 | 250.407 | 250.813 | 251.422 |
0.55 | 251.9701 | 252.64 | 252.64 | 252.64 | 252.5182 | 251.422 | 252.64 | 252.64 |
0.56 | 256.38808 | 257.288 | 257.102 | 257.102 | 257.2322 | 257.102 | 257.381 | 257.102 |
0.57 | 258.05759 | 259.2734 | 259.7 | 259.7 | 258.97478 | 257.567 | 257.9936 | 259.7 |
0.58 | 260.28404 | 260.8328 | 260.642 | 260.642 | 260.68016 | 260.642 | 261.4052 | 260.642 |
0.59 | 261.60521 | 262.1486 | 262.517 | 262.517 | 261.98282 | 261.596 | 261.9644 | 262.517 |
0.6 | 262.6602 | 262.875 | 262.875 | 262.875 | 262.8034 | 262.517 | 262.875 | 262.875 |
0.61 | 263.68949 | 264.6544 | 263.906 | 263.906 | 264.24278 | 263.906 | 265.0286 | 263.906 |
0.62 | 265.95988 | 266.5898 | 266.793 | 266.793 | 266.34596 | 265.777 | 265.9802 | 266.793 |
0.63 | 271.17573 | 274.698 | 274.482 | 274.482 | 274.02066 | 274.482 | 275.346 | 274.482 |
0.64 | 275.5188 | 277.4694 | 275.562 | 275.562 | 276.57928 | 275.562 | 276.8336 | 278.741 |
0.65 | 281.6558 | 287.069 | 287.069 | 287.069 | 284.5706 | 278.741 | 287.069 | 287.069 |
0.66 | 289.0263 | 291.2968 | 289.714 | 289.714 | 290.03056 | 289.714 | 292.0882 | 289.714 |
0.67 | 293.8803 | 294.959 | 295.281 | 295.281 | 294.4116 | 293.671 | 293.993 | 295.281 |
0.68 | 301.97808 | 308.1628 | 308.16 | 308.16 | 306.09936 | 308.16 | 308.1712 | 308.16 |
0.69 | 308.17274 | 308.3888 | 308.174 | 308.174 | 308.25276 | 308.174 | 308.3172 | 308.532 |
0.7 | 310.1442 | 313.906 | 313.906 | 313.906 | 311.7564 | 308.532 | 313.906 | 313.906 |
0.71 | 315.31981 | 319.189 | 315.955 | 315.955 | 315.91402 | 315.955 | 320.806 | 315.955 |
0.72 | 324.56184 | 329.2584 | 330.563 | 330.563 | 326.38828 | 324.04 | 325.3446 | 330.563 |
0.73 | 339.14426 | 349.0746 | 348.821 | 348.821 | 344.07392 | 330.563 | 349.8354 | 348.821 |
0.74 | 349.91148 | 354.0706 | 350.089 | 350.089 | 350.88532 | 350.089 | 352.7434 | 356.725 |
0.75 | 359.27775 | 366.936 | 366.936 | 366.936 | 361.8305 | 356.725 | 366.936 | 366.936 |
0.76 | 375.39616 | 380.3054 | 380.155 | 380.155 | 378.56872 | 380.155 | 380.3806 | 380.155 |
0.77 | 380.62616 | 383.0686 | 383.703 | 383.703 | 381.35572 | 380.531 | 381.1654 | 383.703 |
0.78 | 384.9567 | 387.0104 | 386.688 | 386.688 | 385.6134 | 383.703 | 387.9776 | 386.688 |
0.79 | 387.99372 | 390.67 | 388.3 | 388.3 | 388.379 | 388.3 | 389.88 | 392.25 |
0.8 | 394.0844 | 401.422 | 401.422 | 401.422 | 395.9188 | 392.25 | 401.422 | 401.422 |
0.81 | 401.71287 | 402.3746 | 401.915 | 401.915 | 401.80654 | 401.915 | 402.6044 | 401.915 |
0.82 | 403.04102 | 403.4576 | 403.064 | 403.064 | 403.14272 | 403.064 | 403.1624 | 403.556 |
0.83 | 404.52207 | 409.2142 | 406.167 | 406.167 | 404.96594 | 403.556 | 418.3558 | 406.167 |
0.84 | 417.74636 | 424.229 | 421.403 | 421.403 | 420.18412 | 421.403 | 423.287 | 426.113 |
0.85 | 427.58945 | 435.956 | 435.956 | 435.956 | 429.0659 | 426.113 | 435.956 | 435.956 |
0.86 | 437.35946 | 439.257 | 438.555 | 438.555 | 437.72332 | 438.555 | 439.608 | 438.555 |
0.87 | 440.18715 | 441.2116 | 440.31 | 440.31 | 440.37762 | 440.31 | 440.5354 | 441.437 |
0.88 | 444.04724 | 454.842 | 449.594 | 449.594 | 445.02608 | 441.437 | 470.586 | 449.594 |
0.89 | 468.2244 | 494.3248 | 475.834 | 475.834 | 471.1108 | 475.834 | 488.1612 | 506.652 |
0.9 | 511.6145 | 556.277 | 556.277 | 556.277 | 516.577 | 506.652 | 556.277 | 556.277 |
0.91 | 578.27065 | 605.2096 | 601.162 | 601.162 | 582.3103 | 556.277 | 607.2334 | 601.162 |
0.92 | 610.06672 | 638.4842 | 611.281 | 611.281 | 610.87624 | 611.281 | 618.0818 | 645.285 |
0.93 | 647.54112 | 655.4894 | 653.641 | 653.641 | 648.12604 | 645.285 | 661.0346 | 653.641 |
0.94 | 659.74072 | 682.0752 | 662.883 | 662.883 | 660.29524 | 662.883 | 675.6778 | 694.87 |
0.95 | 695.10875 | 699.645 | 699.645 | 699.645 | 695.3475 | 694.87 | 699.645 | 699.645 |
0.96 | 724.6436 | 832.7932 | 756.46 | 756.46 | 726.9162 | 699.645 | 870.9598 | 756.46 |
0.97 | 914.85139 | 1014.2138 | 947.293 | 947.293 | 920.57638 | 947.293 | 964.0232 | 1030.944 |
0.98 | 1091.43938 | 1597.4472 | 1305.923 | 1305.923 | 1096.93896 | 1030.944 | 2472.0198 | 1305.923 |
0.99 | 2195.07181 | 3626.8342 | 2763.544 | 2763.544 | 2209.64802 | 2763.544 | 3339.0708 | 4202.361 |