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 | 7.082 | 7.0824 | 7.11 | 7.11 | 7.1245 | 7.07 | 7.0976 | 7.07 |
0.02 | 7.14 | 7.141 | 7.16 | 7.16 | 7.1716 | 7.16 | 7.129 | 7.16 |
0.03 | 7.178 | 7.1786 | 7.18 | 7.18 | 7.2409 | 7.18 | 7.1614 | 7.18 |
0.04 | 7.276 | 7.2812 | 7.38 | 7.38 | 7.3896 | 7.25 | 7.3488 | 7.25 |
0.05 | 7.41 | 7.413 | 7.44 | 7.44 | 7.4715 | 7.44 | 7.407 | 7.44 |
0.06 | 7.496 | 7.5002 | 7.51 | 7.51 | 7.5988 | 7.51 | 7.4498 | 7.51 |
0.07 | 7.642 | 7.6504 | 7.75 | 7.75 | 7.7503 | 7.63 | 7.7296 | 7.63 |
0.08 | 7.754 | 7.7548 | 7.76 | 7.76 | 7.8464 | 7.75 | 7.7552 | 7.75 |
0.09 | 7.949 | 7.9733 | 8.03 | 8.03 | 8.1642 | 8.03 | 7.8167 | 8.03 |
0.1 | 8.25 | 8.303 | 8.25 | 8.515 | 8.727 | 8.25 | 8.727 | 8.25 |
0.11 | 8.804 | 8.8128 | 8.86 | 8.86 | 8.8828 | 8.78 | 8.8272 | 8.78 |
0.12 | 8.932 | 8.9464 | 8.98 | 8.98 | 9.0472 | 8.98 | 8.8936 | 8.98 |
0.13 | 9.106 | 9.1245 | 9.12 | 9.12 | 9.2355 | 9.12 | 9.2655 | 9.12 |
0.14 | 9.296 | 9.3142 | 9.4 | 9.4 | 9.4078 | 9.27 | 9.3558 | 9.27 |
0.15 | 9.465 | 9.4845 | 9.53 | 9.53 | 9.6175 | 9.53 | 9.4455 | 9.53 |
0.16 | 9.73 | 9.77 | 9.78 | 9.78 | 9.908 | 9.78 | 9.54 | 9.78 |
0.17 | 10.018 | 10.0826 | 10.36 | 10.36 | 10.3334 | 9.98 | 10.2574 | 9.98 |
0.18 | 10.396 | 10.4122 | 10.45 | 10.45 | 10.4698 | 10.36 | 10.3978 | 10.45 |
0.19 | 10.513 | 10.5301 | 10.54 | 10.54 | 10.5961 | 10.54 | 10.4599 | 10.54 |
0.2 | 10.65 | 10.658 | 10.65 | 10.67 | 10.682 | 10.65 | 10.682 | 10.65 |
0.21 | 10.726 | 10.7512 | 10.81 | 10.81 | 10.8136 | 10.69 | 10.7488 | 10.81 |
0.22 | 10.834 | 10.8428 | 10.85 | 10.85 | 10.888 | 10.85 | 10.8172 | 10.85 |
0.23 | 10.94 | 10.9604 | 10.95 | 10.95 | 11.0036 | 10.95 | 11.0196 | 10.95 |
0.24 | 11.08 | 11.14 | 11.28 | 11.28 | 11.27 | 11.03 | 11.17 | 11.03 |
0.25 | 11.295 | 11.3025 | 11.31 | 11.31 | 11.3425 | 11.31 | 11.2875 | 11.31 |
0.26 | 11.414 | 11.4508 | 11.44 | 11.44 | 11.5372 | 11.44 | 11.6092 | 11.44 |
0.27 | 11.623 | 11.6311 | 11.65 | 11.65 | 11.6449 | 11.62 | 11.6389 | 11.62 |
0.28 | 11.726 | 11.7792 | 11.84 | 11.84 | 11.8544 | 11.65 | 11.7108 | 11.84 |
0.29 | 11.924 | 11.9588 | 11.96 | 11.96 | 12.0338 | 11.96 | 11.8412 | 11.96 |
0.3 | 12.14 | 12.206 | 12.14 | 12.25 | 12.294 | 12.14 | 12.294 | 12.14 |
0.31 | 12.474 | 12.5918 | 12.74 | 12.74 | 12.7362 | 12.36 | 12.5082 | 12.74 |
0.32 | 12.824 | 12.8688 | 12.88 | 12.88 | 12.8828 | 12.88 | 12.7512 | 12.88 |
0.33 | 12.889 | 13.0349 | 12.89 | 12.89 | 13.2491 | 12.89 | 13.3751 | 12.89 |
0.34 | 13.622 | 13.7954 | 14.03 | 14.03 | 13.9586 | 13.52 | 13.7546 | 14.03 |
0.35 | 15.1 | 15.849 | 16.17 | 16.17 | 16.185 | 16.17 | 14.351 | 16.17 |
0.36 | 16.25 | 16.4268 | 16.27 | 16.27 | 16.7012 | 16.27 | 17.0932 | 16.27 |
0.37 | 17.463 | 18.2511 | 19.38 | 19.38 | 18.8049 | 17.25 | 18.3789 | 17.25 |
0.38 | 20.028 | 20.6436 | 21 | 21 | 21.0882 | 19.38 | 19.7364 | 21 |
0.39 | 24.087 | 25.4577 | 25.41 | 25.41 | 25.5743 | 25.41 | 25.8923 | 25.41 |
0.4 | 25.94 | 26.04 | 25.94 | 26.065 | 26.09 | 25.94 | 26.09 | 25.94 |
0.41 | 26.193 | 26.1971 | 26.2 | 26.2 | 26.1989 | 26.19 | 26.1929 | 26.2 |
0.42 | 27.676 | 28.6962 | 28.66 | 28.66 | 28.9858 | 28.66 | 30.4338 | 28.66 |
0.43 | 30.289 | 30.6482 | 30.47 | 30.47 | 30.7238 | 30.47 | 30.8318 | 30.47 |
0.44 | 31.248 | 31.7716 | 32.2 | 32.2 | 31.9144 | 31.01 | 31.4384 | 32.2 |
0.45 | 32.865 | 33.4635 | 33.53 | 33.53 | 33.551 | 33.53 | 32.2665 | 33.53 |
0.46 | 33.866 | 34.4986 | 33.95 | 33.95 | 34.6674 | 33.95 | 35.5114 | 33.95 |
0.47 | 36.135 | 36.4875 | 36.81 | 36.81 | 36.5325 | 36.06 | 36.3825 | 36.81 |
0.48 | 37.466 | 38.2532 | 38.45 | 38.45 | 38.3188 | 36.81 | 37.0068 | 38.45 |
0.49 | 39.367 | 40.1229 | 39.76 | 39.76 | 40.1611 | 39.76 | 41.3071 | 39.76 |
0.5 | 41.67 | 42.16 | 41.67 | 42.16 | 42.16 | 41.67 | 42.16 | 42.16 |
0.51 | 43.313 | 44.4401 | 44.86 | 44.86 | 44.3959 | 42.65 | 43.0699 | 44.86 |
0.52 | 46.078 | 47.6964 | 46.89 | 46.89 | 47.4276 | 46.89 | 52.8036 | 46.89 |
0.53 | 52.938 | 55.1838 | 53.61 | 53.61 | 54.9642 | 53.61 | 55.6962 | 53.61 |
0.54 | 57.334 | 57.5068 | 57.59 | 57.59 | 57.4812 | 57.27 | 57.3532 | 57.59 |
0.55 | 58.68 | 59.9175 | 59.77 | 59.77 | 59.661 | 59.77 | 62.5725 | 59.77 |
0.56 | 62.13 | 64.556 | 62.72 | 62.72 | 63.944 | 62.72 | 65.984 | 62.72 |
0.57 | 67.823 | 67.8401 | 67.85 | 67.85 | 67.8359 | 67.82 | 67.8299 | 67.85 |
0.58 | 67.894 | 67.9578 | 67.96 | 67.96 | 67.9402 | 67.85 | 67.8522 | 67.96 |
0.59 | 68.331 | 69.041 | 68.49 | 68.49 | 68.699 | 68.49 | 69.839 | 68.49 |
0.6 | 70.39 | 71.29 | 70.39 | 71.14 | 70.99 | 70.39 | 70.99 | 71.89 |
0.61 | 72.976 | 75.1842 | 75.51 | 75.51 | 74.3878 | 71.89 | 72.2158 | 75.51 |
0.62 | 76.392 | 77.882 | 76.98 | 76.98 | 76.9506 | 76.98 | 80.178 | 76.98 |
0.63 | 80.67 | 82.9509 | 81.08 | 81.08 | 82.0331 | 81.08 | 82.7391 | 84.61 |
0.64 | 84.656 | 84.8032 | 84.84 | 84.84 | 84.7388 | 84.61 | 84.6468 | 84.84 |
0.65 | 85.095 | 85.407 | 85.35 | 85.35 | 85.2735 | 85.35 | 85.673 | 85.35 |
0.66 | 85.654 | 87.3768 | 85.73 | 85.73 | 86.2312 | 85.73 | 87.6632 | 85.73 |
0.67 | 89.392 | 89.9414 | 90.13 | 90.13 | 89.6626 | 89.31 | 89.4986 | 90.13 |
0.68 | 90.742 | 91.7408 | 91.66 | 91.66 | 91.2316 | 90.13 | 92.5892 | 91.66 |
0.69 | 92.367 | 92.7636 | 92.67 | 92.67 | 92.6724 | 92.67 | 92.8164 | 92.67 |
0.7 | 92.91 | 97.733 | 92.91 | 96.355 | 94.977 | 92.91 | 94.977 | 99.8 |
0.71 | 101.396 | 105.1447 | 105.12 | 105.12 | 102.9388 | 99.8 | 107.5653 | 105.12 |
0.72 | 106.602 | 109.5324 | 107.59 | 107.59 | 107.2936 | 107.59 | 111.7176 | 107.59 |
0.73 | 113.053 | 118.4039 | 113.66 | 113.66 | 114.9401 | 113.66 | 116.4461 | 121.19 |
0.74 | 121.36 | 121.989 | 122.04 | 122.04 | 121.581 | 121.19 | 121.241 | 122.04 |
0.75 | 123.53 | 125.2225 | 125.02 | 125.02 | 124.275 | 125.02 | 125.6275 | 125.02 |
0.76 | 125.668 | 129.1508 | 125.83 | 125.83 | 126.0672 | 125.83 | 128.4392 | 131.76 |
0.77 | 132.12 | 134.892 | 135.36 | 135.36 | 132.948 | 131.76 | 132.228 | 135.36 |
0.78 | 135.54 | 136.2906 | 135.81 | 135.81 | 135.639 | 135.36 | 137.9994 | 135.81 |
0.79 | 137.679 | 140.4155 | 138.48 | 138.48 | 138.2397 | 138.48 | 140.4945 | 138.48 |
0.8 | 142.43 | 143.286 | 142.43 | 142.965 | 142.644 | 142.43 | 142.644 | 143.5 |
0.81 | 146.491 | 154.0728 | 153.47 | 153.47 | 148.3853 | 143.5 | 158.3472 | 153.47 |
0.82 | 156.758 | 160.8148 | 158.95 | 158.95 | 157.7444 | 158.95 | 161.5252 | 158.95 |
0.83 | 162.946 | 166.3465 | 163.39 | 163.39 | 163.6735 | 163.39 | 164.4835 | 167.44 |
0.84 | 167.594 | 168.2628 | 168.21 | 168.21 | 167.7172 | 167.44 | 169.4772 | 168.21 |
0.85 | 168.87 | 171.077 | 169.53 | 169.53 | 169.068 | 169.53 | 172.403 | 169.53 |
0.86 | 173.066 | 179.4082 | 173.95 | 173.95 | 173.6848 | 173.95 | 176.7618 | 182.22 |
0.87 | 182.533 | 185.2561 | 185.35 | 185.35 | 182.9399 | 182.22 | 182.3139 | 185.35 |
0.88 | 186.61 | 188.57 | 188.5 | 188.5 | 186.988 | 185.35 | 188.68 | 188.5 |
0.89 | 188.675 | 189.458 | 188.75 | 188.75 | 188.7025 | 188.75 | 189.242 | 189.95 |
0.9 | 189.95 | 191.849 | 189.95 | 191.005 | 190.161 | 189.95 | 190.161 | 192.06 |
0.91 | 193.866 | 198.4643 | 198.08 | 198.08 | 194.4078 | 192.06 | 199.5257 | 198.08 |
0.92 | 199.178 | 202.3592 | 199.91 | 199.91 | 199.3244 | 199.91 | 202.1708 | 204.62 |
0.93 | 204.149 | 209.6913 | 204.62 | 204.62 | 204.4787 | 204.62 | 205.6587 | 210.73 |
0.94 | 215.584 | 236.134 | 235 | 235 | 217.0402 | 210.73 | 241.966 | 235 |
0.95 | 239.05 | 246.8935 | 243.1 | 243.1 | 239.455 | 243.1 | 247.7365 | 243.1 |
0.96 | 249.844 | 255.596 | 251.53 | 251.53 | 250.1812 | 251.53 | 252.814 | 256.88 |
0.97 | 256.917 | 257.5188 | 257.25 | 257.25 | 256.9281 | 256.88 | 260.8212 | 257.25 |
0.98 | 258.786 | 269.7008 | 261.09 | 261.09 | 258.8628 | 257.25 | 275.1392 | 261.09 |
0.99 | 276.952 | 295.6387 | 283.75 | 283.75 | 277.1786 | 283.75 | 289.0913 | 300.98 |