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 | 57.716 | 57.718 | 57.9 | 57.9 | 58.299 | 57.7 | 57.882 | 57.7 |
0.02 | 58.812 | 58.926 | 63.6 | 63.6 | 63.614 | 57.9 | 62.574 | 57.9 |
0.03 | 63.624 | 63.627 | 63.7 | 63.7 | 64.036 | 63.6 | 63.673 | 63.6 |
0.04 | 64.212 | 64.276 | 65.3 | 65.3 | 65.524 | 63.7 | 64.724 | 63.7 |
0.05 | 65.62 | 65.66 | 66.1 | 66.1 | 66.8 | 65.3 | 65.74 | 65.3 |
0.06 | 67.06 | 67.18 | 68.1 | 68.1 | 68.226 | 66.1 | 67.02 | 68.1 |
0.07 | 68.268 | 68.289 | 68.4 | 68.4 | 68.89 | 68.4 | 68.211 | 68.4 |
0.08 | 69.04 | 69.12 | 69.4 | 69.4 | 69.456 | 69.4 | 68.68 | 69.4 |
0.09 | 69.472 | 69.481 | 69.5 | 69.5 | 70.067 | 69.5 | 69.419 | 69.5 |
0.1 | 70.22 | 70.31 | 70.4 | 70.4 | 70.75 | 70.4 | 69.59 | 70.4 |
0.11 | 70.84 | 70.895 | 70.9 | 70.9 | 72.286 | 70.9 | 70.405 | 70.9 |
0.12 | 72.628 | 72.796 | 72.7 | 72.7 | 73.708 | 72.7 | 73.804 | 72.7 |
0.13 | 73.908 | 73.934 | 74.1 | 74.1 | 74.082 | 73.9 | 74.066 | 73.9 |
0.14 | 74.208 | 74.334 | 75 | 75 | 74.982 | 74.1 | 74.766 | 74.1 |
0.15 | 75.04 | 75.07 | 75.2 | 75.2 | 75.26 | 75 | 75.13 | 75 |
0.16 | 75.536 | 75.728 | 76.4 | 76.4 | 76.508 | 75.2 | 75.872 | 75.2 |
0.17 | 76.724 | 76.877 | 77.3 | 77.3 | 77.319 | 76.4 | 76.823 | 77.3 |
0.18 | 77.344 | 77.362 | 77.4 | 77.4 | 77.556 | 77.3 | 77.338 | 77.4 |
0.19 | 77.712 | 77.826 | 78 | 78 | 78.132 | 78 | 77.574 | 78 |
0.2 | 78.24 | 78.32 | 78.4 | 78.4 | 79.12 | 78.4 | 78.08 | 78.4 |
0.21 | 79.624 | 80.002 | 80.2 | 80.2 | 80.952 | 80.2 | 78.598 | 80.2 |
0.22 | 81.416 | 81.768 | 81.8 | 81.8 | 81.908 | 81.8 | 80.232 | 81.8 |
0.23 | 81.968 | 82.014 | 82 | 82 | 82.122 | 82 | 82.186 | 82 |
0.24 | 82.184 | 82.216 | 82.2 | 82.2 | 82.268 | 82.2 | 82.284 | 82.2 |
0.25 | 82.3 | 82.325 | 82.3 | 82.35 | 82.375 | 82.3 | 82.375 | 82.3 |
0.26 | 82.416 | 82.468 | 82.6 | 82.6 | 82.564 | 82.4 | 82.532 | 82.4 |
0.27 | 82.616 | 82.643 | 82.7 | 82.7 | 82.689 | 82.6 | 82.657 | 82.6 |
0.28 | 82.7 | 82.7 | 82.7 | 82.7 | 82.7 | 82.7 | 82.7 | 82.7 |
0.29 | 82.924 | 83.127 | 83.4 | 83.4 | 83.409 | 82.7 | 82.973 | 83.4 |
0.3 | 83.52 | 83.61 | 83.7 | 83.7 | 83.72 | 83.4 | 83.49 | 83.7 |
0.31 | 83.796 | 83.858 | 83.9 | 83.9 | 83.951 | 83.7 | 83.742 | 83.9 |
0.32 | 84.068 | 84.164 | 84.2 | 84.2 | 84.344 | 84.2 | 83.936 | 84.2 |
0.33 | 84.584 | 84.782 | 84.8 | 84.8 | 84.862 | 84.8 | 84.218 | 84.8 |
0.34 | 84.944 | 85.012 | 85 | 85 | 85.076 | 85 | 85.188 | 85 |
0.35 | 85.16 | 85.23 | 85.2 | 85.2 | 85.29 | 85.2 | 85.37 | 85.2 |
0.36 | 85.376 | 85.472 | 85.4 | 85.4 | 85.556 | 85.4 | 85.628 | 85.4 |
0.37 | 85.688 | 85.766 | 85.7 | 85.7 | 85.818 | 85.7 | 85.834 | 85.7 |
0.38 | 85.92 | 86.11 | 86.4 | 86.4 | 86.23 | 85.9 | 86.19 | 85.9 |
0.39 | 86.424 | 86.502 | 86.6 | 86.6 | 86.546 | 86.4 | 86.498 | 86.6 |
0.4 | 86.96 | 87.68 | 88.4 | 88.4 | 88.04 | 86.6 | 87.32 | 88.4 |
0.41 | 88.904 | 89.642 | 90.2 | 90.2 | 89.966 | 88.4 | 88.958 | 90.2 |
0.42 | 90.236 | 90.278 | 90.3 | 90.3 | 90.294 | 90.2 | 90.222 | 90.3 |
0.43 | 90.3 | 90.3 | 90.3 | 90.3 | 90.305 | 90.3 | 90.3 | 90.3 |
0.44 | 90.56 | 90.78 | 90.8 | 90.8 | 90.8 | 90.8 | 90.32 | 90.8 |
0.45 | 90.8 | 90.875 | 90.8 | 90.8 | 91.025 | 90.8 | 92.225 | 90.8 |
0.46 | 91.82 | 92.44 | 92.3 | 92.3 | 92.52 | 92.3 | 93.16 | 92.3 |
0.47 | 93.06 | 93.323 | 93.3 | 93.3 | 93.329 | 93.3 | 93.377 | 93.3 |
0.48 | 93.384 | 93.464 | 93.4 | 93.4 | 93.472 | 93.4 | 93.536 | 93.4 |
0.49 | 93.584 | 93.682 | 93.6 | 93.6 | 93.686 | 93.6 | 93.718 | 93.6 |
0.5 | 93.8 | 94.8 | 93.8 | 94.8 | 94.8 | 93.8 | 94.8 | 94.8 |
0.51 | 95.864 | 96.272 | 96.6 | 96.6 | 96.256 | 95.8 | 96.128 | 96.6 |
0.52 | 96.84 | 97.62 | 98.1 | 98.1 | 97.56 | 96.6 | 97.08 | 98.1 |
0.53 | 98.22 | 98.485 | 98.6 | 98.6 | 98.455 | 98.1 | 98.215 | 98.6 |
0.54 | 98.696 | 98.858 | 98.9 | 98.9 | 98.834 | 98.6 | 98.642 | 98.9 |
0.55 | 99.22 | 99.66 | 99.7 | 99.7 | 99.58 | 98.9 | 98.94 | 99.7 |
0.56 | 100.276 | 100.916 | 100.9 | 100.9 | 100.804 | 99.7 | 101.284 | 100.9 |
0.57 | 101.124 | 101.326 | 101.3 | 101.3 | 101.296 | 101.3 | 101.474 | 101.3 |
0.58 | 101.428 | 101.588 | 101.5 | 101.5 | 101.524 | 101.5 | 101.812 | 101.5 |
0.59 | 101.788 | 101.993 | 101.9 | 101.9 | 101.939 | 101.9 | 102.107 | 101.9 |
0.6 | 102.14 | 103.28 | 102.2 | 102.2 | 102.74 | 102.2 | 103.82 | 102.2 |
0.61 | 104.576 | 104.949 | 104.9 | 104.9 | 104.927 | 104.9 | 104.951 | 104.9 |
0.62 | 104.996 | 105.174 | 105 | 105 | 105.102 | 105 | 105.126 | 105.3 |
0.63 | 105.32 | 105.635 | 105.8 | 105.8 | 105.505 | 105.3 | 105.465 | 105.8 |
0.64 | 105.932 | 106.636 | 106.9 | 106.9 | 106.328 | 105.8 | 106.064 | 106.9 |
0.65 | 107.06 | 107.58 | 107.7 | 107.7 | 107.34 | 106.9 | 107.02 | 107.7 |
0.66 | 107.7 | 107.7 | 107.7 | 107.7 | 107.7 | 107.7 | 107.7 | 107.7 |
0.67 | 108.528 | 110.03 | 110 | 110 | 109.287 | 107.7 | 110.97 | 110 |
0.68 | 110.44 | 111.036 | 111 | 111 | 110.76 | 110 | 111.264 | 111 |
0.69 | 111.156 | 111.489 | 111.3 | 111.3 | 111.249 | 111.3 | 112.011 | 111.3 |
0.7 | 111.84 | 112.56 | 112.2 | 112.2 | 112.11 | 112.2 | 113.04 | 112.2 |
0.71 | 113.016 | 114.297 | 113.4 | 113.4 | 113.364 | 113.4 | 114.803 | 113.4 |
0.72 | 115.148 | 115.892 | 115.7 | 115.7 | 115.716 | 115.7 | 115.908 | 115.7 |
0.73 | 116.036 | 116.784 | 116.1 | 116.1 | 116.232 | 116.1 | 116.616 | 117.3 |
0.74 | 117.204 | 118.29 | 117.3 | 117.3 | 117.57 | 117.3 | 117.81 | 118.8 |
0.75 | 118.8 | 119.85 | 118.8 | 119.5 | 119.15 | 118.8 | 119.15 | 120.2 |
0.76 | 120.232 | 120.536 | 120.6 | 120.6 | 120.328 | 120.2 | 120.264 | 120.6 |
0.77 | 120.696 | 121.158 | 121.2 | 121.2 | 120.834 | 120.6 | 120.642 | 121.2 |
0.78 | 121.368 | 121.9 | 121.9 | 121.9 | 121.522 | 121.2 | 121.9 | 121.9 |
0.79 | 121.9 | 121.955 | 121.9 | 121.9 | 121.9 | 121.9 | 122.345 | 121.9 |
0.8 | 122.1 | 122.44 | 122.4 | 122.4 | 122.2 | 121.9 | 122.56 | 122.4 |
0.81 | 122.496 | 122.774 | 122.6 | 122.6 | 122.534 | 122.4 | 123.026 | 122.6 |
0.82 | 122.936 | 123.466 | 123.2 | 123.2 | 123.044 | 123.2 | 123.634 | 123.2 |
0.83 | 123.648 | 123.9 | 123.9 | 123.9 | 123.767 | 123.9 | 123.9 | 123.9 |
0.84 | 123.9 | 124.404 | 123.9 | 123.9 | 123.9 | 123.9 | 124.296 | 124.8 |
0.85 | 124.62 | 125.06 | 124.8 | 124.8 | 124.755 | 124.8 | 124.94 | 125.2 |
0.86 | 125.152 | 128.752 | 125.2 | 125.2 | 125.296 | 125.2 | 126.448 | 130 |
0.87 | 129.808 | 131.826 | 130 | 130 | 130.198 | 130 | 130.374 | 132.2 |
0.88 | 132.256 | 133.488 | 133.6 | 133.6 | 132.424 | 132.2 | 132.312 | 133.6 |
0.89 | 133.912 | 136.233 | 136.2 | 136.2 | 134.198 | 133.6 | 139.467 | 136.2 |
0.9 | 136.86 | 140.51 | 139.5 | 139.5 | 137.19 | 136.2 | 148.59 | 139.5 |
0.91 | 142.328 | 149.999 | 149.6 | 149.6 | 143.237 | 139.5 | 151.301 | 149.6 |
0.92 | 150.356 | 153.268 | 151.7 | 151.7 | 150.524 | 149.6 | 155.732 | 151.7 |
0.93 | 154.164 | 160.63 | 157.3 | 157.3 | 154.556 | 151.7 | 162.97 | 157.3 |
0.94 | 161.98 | 171.038 | 166.3 | 166.3 | 162.52 | 166.3 | 171.862 | 166.3 |
0.95 | 172.48 | 182.65 | 176.6 | 176.6 | 172.995 | 176.6 | 181.55 | 187.6 |
0.96 | 184.08 | 197.904 | 187.6 | 187.6 | 184.52 | 187.6 | 193.396 | 203.7 |
0.97 | 199.836 | 204.795 | 203.7 | 203.7 | 200.319 | 203.7 | 204.105 | 205.2 |
0.98 | 204.96 | 216.598 | 205.2 | 205.2 | 204.99 | 205.2 | 207.702 | 219.1 |
0.99 | 217.988 | 232.477 | 219.1 | 219.1 | 218.127 | 219.1 | 220.423 | 233.8 |