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 | 89.366 | 89.392 | 90.9 | 90.9 | 91.06 | 88.3 | 89.808 | 88.3 |
0.02 | 91.228 | 91.236 | 91.3 | 91.3 | 91.46 | 91.3 | 90.964 | 91.3 |
0.03 | 91.546 | 91.552 | 91.7 | 91.7 | 91.7 | 91.5 | 91.648 | 91.5 |
0.04 | 91.7 | 91.7 | 91.7 | 91.7 | 91.88 | 91.7 | 91.7 | 91.7 |
0.05 | 92.02 | 92.04 | 92.4 | 92.4 | 92.4 | 92 | 92.36 | 92 |
0.06 | 92.722 | 92.764 | 93.1 | 93.1 | 93.3 | 92.4 | 92.736 | 93.1 |
0.07 | 93.535 | 93.57 | 93.6 | 93.6 | 93.84 | 93.6 | 93.13 | 93.6 |
0.08 | 94.012 | 94.044 | 94.3 | 94.3 | 94.3 | 93.9 | 94.156 | 93.9 |
0.09 | 94.3 | 94.3 | 94.3 | 94.3 | 94.9 | 94.3 | 94.3 | 94.3 |
0.1 | 95.33 | 95.36 | 95.6 | 95.6 | 95.6 | 95.3 | 95.54 | 95.3 |
0.11 | 95.651 | 95.662 | 95.7 | 95.7 | 95.74 | 95.7 | 95.638 | 95.7 |
0.12 | 95.792 | 95.824 | 95.8 | 95.8 | 96.28 | 95.8 | 96.376 | 95.8 |
0.13 | 96.466 | 96.492 | 96.6 | 96.6 | 96.66 | 96.4 | 96.508 | 96.4 |
0.14 | 96.822 | 96.864 | 96.9 | 96.9 | 96.96 | 96.9 | 96.636 | 96.9 |
0.15 | 97.015 | 97.03 | 97.1 | 97.1 | 97.1 | 97 | 97.07 | 97 |
0.16 | 97.268 | 97.316 | 97.4 | 97.4 | 98.04 | 97.4 | 97.184 | 97.4 |
0.17 | 98.952 | 99.126 | 99 | 99 | 99.72 | 99 | 99.774 | 99 |
0.18 | 100.47 | 100.74 | 101.4 | 101.4 | 101.72 | 99.9 | 100.56 | 101.4 |
0.19 | 102.664 | 102.968 | 103 | 103 | 103.24 | 103 | 101.432 | 103 |
0.2 | 103.4 | 103.4 | 103.4 | 103.4 | 103.4 | 103.4 | 103.4 | 103.4 |
0.21 | 103.4 | 103.4 | 103.4 | 103.4 | 103.52 | 103.4 | 103.4 | 103.4 |
0.22 | 103.702 | 103.724 | 103.8 | 103.8 | 103.78 | 103.7 | 103.776 | 103.7 |
0.23 | 104.187 | 104.394 | 104.7 | 104.7 | 104.72 | 103.8 | 104.106 | 104.7 |
0.24 | 104.784 | 104.84 | 104.8 | 104.8 | 105.1 | 104.8 | 105.26 | 104.8 |
0.25 | 105.425 | 105.55 | 105.8 | 105.8 | 105.8 | 105.3 | 105.55 | 105.55 |
0.26 | 105.8 | 105.8 | 105.8 | 105.8 | 105.88 | 105.8 | 105.8 | 105.8 |
0.27 | 106.07 | 106.34 | 107 | 107 | 106.8 | 106 | 106.66 | 106 |
0.28 | 107.336 | 107.532 | 107.7 | 107.7 | 107.76 | 107 | 107.168 | 107.7 |
0.29 | 107.967 | 108.036 | 108 | 108 | 108.12 | 108 | 108.164 | 108 |
0.3 | 108.29 | 108.38 | 108.5 | 108.5 | 108.5 | 108.2 | 108.32 | 108.5 |
0.31 | 108.926 | 109.112 | 109.1 | 109.1 | 109.34 | 109.1 | 109.688 | 109.1 |
0.32 | 109.772 | 109.964 | 110.3 | 110.3 | 110.18 | 109.7 | 110.036 | 109.7 |
0.33 | 110.618 | 110.816 | 110.9 | 110.9 | 110.98 | 110.9 | 110.384 | 110.9 |
0.34 | 111.276 | 111.356 | 111.3 | 111.3 | 111.42 | 111.3 | 111.444 | 111.3 |
0.35 | 111.57 | 111.64 | 111.7 | 111.7 | 111.7 | 111.5 | 111.56 | 111.7 |
0.36 | 112.156 | 112.336 | 112.3 | 112.3 | 112.42 | 112.3 | 112.564 | 112.3 |
0.37 | 112.736 | 113.032 | 113.4 | 113.4 | 113.24 | 112.6 | 112.968 | 113.4 |
0.38 | 113.516 | 113.592 | 113.6 | 113.6 | 113.62 | 113.6 | 113.408 | 113.6 |
0.39 | 113.699 | 113.738 | 113.7 | 113.7 | 113.76 | 113.7 | 113.762 | 113.7 |
0.4 | 114.16 | 114.52 | 114.7 | 114.7 | 114.7 | 113.8 | 113.98 | 114.7 |
0.41 | 114.943 | 115.11 | 115 | 115 | 115.2 | 115 | 115.39 | 115 |
0.42 | 115.588 | 115.756 | 115.9 | 115.9 | 115.82 | 115.5 | 115.644 | 115.9 |
0.43 | 115.9 | 115.918 | 115.9 | 115.9 | 115.96 | 115.9 | 116.182 | 115.9 |
0.44 | 116.216 | 116.392 | 116.6 | 116.6 | 116.44 | 116.2 | 116.408 | 116.2 |
0.45 | 117.41 | 118.22 | 118.4 | 118.4 | 118.4 | 116.6 | 116.78 | 118.4 |
0.46 | 119.862 | 120.196 | 120.1 | 120.1 | 120.22 | 120.1 | 120.304 | 120.1 |
0.47 | 120.454 | 120.548 | 120.6 | 120.6 | 120.56 | 120.4 | 120.452 | 120.6 |
0.48 | 120.736 | 120.896 | 120.8 | 120.8 | 120.92 | 120.8 | 121.304 | 120.8 |
0.49 | 121.454 | 121.748 | 122 | 122 | 121.76 | 121.4 | 121.652 | 122 |
0.5 | 122.05 | 122.1 | 122.1 | 122.1 | 122.1 | 122.1 | 122.1 | 122.1 |
0.51 | 122.737 | 122.926 | 122.8 | 122.8 | 122.92 | 122.8 | 122.974 | 122.8 |
0.52 | 123.548 | 124.276 | 124.5 | 124.5 | 124.22 | 123.1 | 123.324 | 124.5 |
0.53 | 124.792 | 124.926 | 124.9 | 124.9 | 124.92 | 124.9 | 124.974 | 124.9 |
0.54 | 125.14 | 125.68 | 126 | 126 | 125.6 | 125 | 125.32 | 126 |
0.55 | 126.77 | 127.47 | 127.4 | 127.4 | 127.4 | 127.4 | 128.03 | 127.4 |
0.56 | 128.072 | 128.464 | 128.1 | 128.1 | 128.38 | 128.1 | 128.436 | 128.8 |
0.57 | 128.837 | 128.894 | 128.9 | 128.9 | 128.88 | 128.8 | 128.806 | 128.9 |
0.58 | 129.212 | 129.912 | 129.3 | 129.3 | 129.64 | 129.3 | 130.388 | 129.3 |
0.59 | 131.133 | 131.546 | 131.7 | 131.7 | 131.42 | 131 | 131.154 | 131.7 |
0.6 | 132 | 132.26 | 132.2 | 132.2 | 132.2 | 132.2 | 132.44 | 132.2 |
0.61 | 132.504 | 132.748 | 132.9 | 132.9 | 132.66 | 132.5 | 132.652 | 132.9 |
0.62 | 133.194 | 133.612 | 133.6 | 133.6 | 133.46 | 132.9 | 133.888 | 133.6 |
0.63 | 133.849 | 134.268 | 133.9 | 133.9 | 134.06 | 133.9 | 134.332 | 133.9 |
0.64 | 134.7 | 134.7 | 134.7 | 134.7 | 134.7 | 134.7 | 134.7 | 134.7 |
0.65 | 134.895 | 135.06 | 135 | 135 | 135 | 135 | 135.14 | 135 |
0.66 | 135.248 | 135.776 | 136 | 136 | 135.52 | 135.2 | 135.424 | 136 |
0.67 | 136.611 | 137.37 | 137.3 | 137.3 | 137.04 | 136 | 137.73 | 137.3 |
0.68 | 137.74 | 138.136 | 137.8 | 137.8 | 137.92 | 137.8 | 138.064 | 138.4 |
0.69 | 138.4 | 138.4 | 138.4 | 138.4 | 138.4 | 138.4 | 138.4 | 138.4 |
0.7 | 139.1 | 139.64 | 139.4 | 139.4 | 139.4 | 139.4 | 139.76 | 139.4 |
0.71 | 140.011 | 140.082 | 140.1 | 140.1 | 140.04 | 140 | 140.018 | 140.1 |
0.72 | 140.672 | 141.32 | 141.2 | 141.2 | 140.98 | 141.2 | 141.58 | 141.2 |
0.73 | 141.665 | 142.03 | 141.7 | 141.7 | 141.8 | 141.7 | 141.87 | 142.2 |
0.74 | 142.438 | 142.94 | 142.9 | 142.9 | 142.62 | 142.2 | 143.36 | 142.9 |
0.75 | 143.275 | 143.85 | 143.4 | 143.4 | 143.4 | 143.4 | 143.85 | 143.85 |
0.76 | 144.38 | 144.76 | 144.8 | 144.8 | 144.5 | 144.3 | 144.34 | 144.8 |
0.77 | 147.479 | 149.568 | 149.5 | 149.5 | 148.56 | 149.5 | 149.632 | 149.5 |
0.78 | 149.696 | 151.144 | 149.7 | 149.7 | 150.08 | 149.7 | 150.156 | 151.6 |
0.79 | 151.678 | 151.854 | 151.8 | 151.8 | 151.72 | 151.6 | 152.046 | 151.8 |
0.8 | 152.04 | 152.76 | 152.1 | 152.1 | 152.1 | 152.1 | 152.54 | 153.2 |
0.81 | 153.221 | 153.302 | 153.3 | 153.3 | 153.24 | 153.2 | 153.398 | 153.3 |
0.82 | 153.362 | 153.62 | 153.4 | 153.4 | 153.38 | 153.4 | 153.68 | 153.4 |
0.83 | 153.924 | 154.588 | 154.7 | 154.7 | 154.06 | 153.9 | 154.012 | 154.7 |
0.84 | 154.92 | 155.256 | 155.2 | 155.2 | 155 | 154.7 | 155.344 | 155.2 |
0.85 | 155.37 | 155.82 | 155.4 | 155.4 | 155.4 | 155.4 | 155.58 | 156 |
0.86 | 156.156 | 156.6 | 156.6 | 156.6 | 156.24 | 156 | 156.6 | 156.6 |
0.87 | 156.6 | 157.032 | 156.6 | 156.6 | 156.6 | 156.6 | 156.968 | 157.4 |
0.88 | 157.4 | 157.4 | 157.4 | 157.4 | 157.4 | 157.4 | 157.4 | 157.4 |
0.89 | 158.282 | 159.314 | 159.2 | 159.2 | 158.48 | 157.4 | 159.386 | 159.2 |
0.9 | 159.47 | 159.5 | 159.5 | 159.5 | 159.5 | 159.5 | 159.5 | 159.5 |
0.91 | 159.872 | 160.898 | 160.7 | 160.7 | 159.98 | 159.5 | 161.402 | 160.7 |
0.92 | 161.348 | 161.664 | 161.6 | 161.6 | 161.42 | 161.6 | 161.636 | 161.7 |
0.93 | 162.376 | 167.008 | 166.9 | 166.9 | 162.74 | 161.7 | 168.592 | 166.9 |
0.94 | 167.872 | 168.892 | 168.7 | 168.7 | 167.98 | 168.7 | 168.908 | 168.7 |
0.95 | 169.08 | 169.82 | 169.1 | 169.1 | 169.1 | 169.1 | 169.18 | 169.9 |
0.96 | 169.9 | 170.028 | 169.9 | 169.9 | 169.9 | 169.9 | 170.172 | 169.9 |
0.97 | 170.208 | 170.522 | 170.3 | 170.3 | 170.22 | 170.3 | 170.378 | 170.6 |
0.98 | 170.96 | 174.232 | 172.6 | 172.6 | 171 | 170.6 | 181.168 | 172.6 |
0.99 | 178.618 | 184.598 | 182.8 | 182.8 | 178.72 | 182.8 | 184.102 | 185.9 |