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 | 42.924 | 42.9277 | 43.22 | 43.22 | 43.429 | 42.85 | 43.1423 | 42.85 |
0.02 | 43.66 | 43.682 | 44.32 | 44.32 | 44.7038 | 43.22 | 43.858 | 43.22 |
0.03 | 44.926 | 44.9563 | 45.33 | 45.33 | 46.527 | 45.33 | 44.6937 | 45.33 |
0.04 | 47.01 | 47.094 | 47.43 | 47.43 | 48.0912 | 47.43 | 45.666 | 47.43 |
0.05 | 48.3 | 48.3665 | 48.3 | 48.965 | 49.5635 | 48.3 | 49.5635 | 48.3 |
0.06 | 49.828 | 49.8874 | 50.62 | 50.62 | 50.697 | 49.63 | 50.3626 | 49.63 |
0.07 | 50.84 | 50.8785 | 51.17 | 51.17 | 51.6584 | 50.62 | 50.9115 | 50.62 |
0.08 | 52.058 | 52.1764 | 52.65 | 52.65 | 52.676 | 52.65 | 51.6436 | 52.65 |
0.09 | 52.69 | 52.6945 | 52.7 | 52.7 | 53.0763 | 52.7 | 52.6555 | 52.7 |
0.1 | 53.23 | 53.238 | 53.23 | 53.27 | 53.302 | 53.23 | 53.302 | 53.23 |
0.11 | 53.55 | 53.682 | 54.51 | 54.51 | 54.5136 | 53.31 | 54.138 | 53.31 |
0.12 | 54.526 | 54.5308 | 54.55 | 54.55 | 54.7096 | 54.51 | 54.5292 | 54.55 |
0.13 | 54.892 | 54.9661 | 55.12 | 55.12 | 55.6934 | 55.12 | 54.7039 | 55.12 |
0.14 | 56.096 | 56.2668 | 56.34 | 56.34 | 57.6072 | 56.34 | 55.1932 | 56.34 |
0.15 | 58.26 | 58.3515 | 58.26 | 58.565 | 58.7785 | 58.26 | 58.7785 | 58.26 |
0.16 | 58.886 | 58.8988 | 58.95 | 58.95 | 58.9792 | 58.87 | 58.9212 | 58.87 |
0.17 | 59.242 | 59.3661 | 59.68 | 59.68 | 59.6938 | 58.95 | 59.2639 | 59.68 |
0.18 | 59.716 | 59.7268 | 59.74 | 59.74 | 59.8366 | 59.74 | 59.6932 | 59.74 |
0.19 | 59.924 | 59.9677 | 59.97 | 59.97 | 60.8118 | 59.97 | 59.7423 | 59.97 |
0.2 | 61.35 | 61.606 | 61.35 | 61.99 | 62.374 | 61.35 | 62.374 | 61.35 |
0.21 | 62.718 | 62.8104 | 63.07 | 63.07 | 63.0656 | 62.63 | 62.8896 | 62.63 |
0.22 | 63.45 | 63.659 | 64.02 | 64.02 | 64.2054 | 63.07 | 63.431 | 64.02 |
0.23 | 64.638 | 64.8749 | 65.05 | 65.05 | 65.1092 | 65.05 | 64.1951 | 65.05 |
0.24 | 65.178 | 65.2212 | 65.21 | 65.21 | 65.3668 | 65.21 | 65.4788 | 65.21 |
0.25 | 65.49 | 65.5175 | 65.49 | 65.545 | 65.5725 | 65.49 | 65.5725 | 65.49 |
0.26 | 65.616 | 65.6368 | 65.68 | 65.68 | 65.6752 | 65.6 | 65.6432 | 65.6 |
0.27 | 65.952 | 66.1356 | 66.36 | 66.36 | 66.4549 | 65.68 | 65.9044 | 66.36 |
0.28 | 66.798 | 67.0024 | 67.09 | 67.09 | 67.1892 | 67.09 | 66.4476 | 67.09 |
0.29 | 67.338 | 67.4252 | 67.4 | 67.4 | 67.5428 | 67.4 | 67.6548 | 67.4 |
0.3 | 67.68 | 67.803 | 67.68 | 67.885 | 67.967 | 67.68 | 67.967 | 67.68 |
0.31 | 68.098 | 68.1104 | 68.13 | 68.13 | 68.1256 | 68.09 | 68.1096 | 68.13 |
0.32 | 68.134 | 68.1372 | 68.14 | 68.14 | 68.1504 | 68.13 | 68.1328 | 68.14 |
0.33 | 68.218 | 68.2609 | 68.27 | 68.27 | 68.7533 | 68.27 | 68.1491 | 68.27 |
0.34 | 69.702 | 70.0824 | 70.06 | 70.06 | 70.1336 | 70.06 | 70.1976 | 70.06 |
0.35 | 70.22 | 70.2935 | 70.22 | 70.325 | 70.3565 | 70.22 | 70.3565 | 70.22 |
0.36 | 70.596 | 70.8948 | 71.26 | 71.26 | 71.1272 | 70.43 | 70.7952 | 71.26 |
0.37 | 71.408 | 71.5449 | 71.63 | 71.63 | 71.6558 | 71.26 | 71.3451 | 71.63 |
0.38 | 72.146 | 72.4728 | 72.49 | 72.49 | 72.7232 | 72.49 | 71.6472 | 72.49 |
0.39 | 73.338 | 73.8293 | 73.55 | 73.55 | 74.1527 | 73.55 | 74.7407 | 73.55 |
0.4 | 75.02 | 75.052 | 75.02 | 75.06 | 75.068 | 75.02 | 75.068 | 75.02 |
0.41 | 75.186 | 75.3623 | 75.53 | 75.53 | 75.4397 | 75.1 | 75.2677 | 75.53 |
0.42 | 75.742 | 75.9646 | 76.06 | 76.06 | 76.0494 | 75.53 | 75.6254 | 76.06 |
0.43 | 76.564 | 76.9006 | 76.9 | 76.9 | 76.9034 | 76.9 | 76.9194 | 76.9 |
0.44 | 76.916 | 77.0808 | 76.92 | 76.92 | 77.1612 | 76.92 | 77.4292 | 76.92 |
0.45 | 77.59 | 78.2335 | 77.59 | 78.305 | 78.3765 | 77.59 | 78.3765 | 77.59 |
0.46 | 79.052 | 79.1256 | 79.18 | 79.18 | 79.1384 | 79.02 | 79.0744 | 79.18 |
0.47 | 79.584 | 80.0587 | 80.19 | 80.19 | 80.1193 | 79.18 | 79.3113 | 80.19 |
0.48 | 80.274 | 80.3468 | 80.33 | 80.33 | 80.3552 | 80.33 | 80.5232 | 80.33 |
0.49 | 80.498 | 80.5864 | 80.54 | 80.54 | 80.5896 | 80.54 | 80.6536 | 80.54 |
0.5 | 80.7 | 80.91 | 80.7 | 80.91 | 80.91 | 80.7 | 80.91 | 80.91 |
0.51 | 81.152 | 81.2336 | 81.28 | 81.28 | 81.2304 | 81.12 | 81.1664 | 81.28 |
0.52 | 81.744 | 82.3472 | 82.44 | 82.44 | 82.3008 | 81.28 | 81.3728 | 82.44 |
0.53 | 82.65 | 82.8355 | 82.79 | 82.79 | 82.8145 | 82.79 | 83.0945 | 82.79 |
0.54 | 83.07 | 83.4596 | 83.14 | 83.14 | 83.3844 | 83.14 | 83.7604 | 83.14 |
0.55 | 84.08 | 84.3495 | 84.08 | 84.325 | 84.3005 | 84.08 | 84.3005 | 84.57 |
0.56 | 84.898 | 85.8164 | 86.21 | 86.21 | 85.6196 | 84.57 | 84.9636 | 86.21 |
0.57 | 86.234 | 86.2682 | 86.27 | 86.27 | 86.2598 | 86.21 | 86.2118 | 86.27 |
0.58 | 86.462 | 86.7124 | 86.59 | 86.59 | 86.6036 | 86.59 | 87.1476 | 86.59 |
0.59 | 87.134 | 87.3792 | 87.27 | 87.27 | 87.3288 | 87.27 | 87.4408 | 87.27 |
0.6 | 87.55 | 87.694 | 87.55 | 87.67 | 87.646 | 87.55 | 87.646 | 87.79 |
0.61 | 87.9 | 88.2355 | 88.34 | 88.34 | 88.1145 | 87.79 | 87.8945 | 88.34 |
0.62 | 88.352 | 88.3728 | 88.37 | 88.37 | 88.3634 | 88.34 | 88.5072 | 88.37 |
0.63 | 88.454 | 88.6963 | 88.51 | 88.51 | 88.5058 | 88.51 | 89.1337 | 88.51 |
0.64 | 89.158 | 89.8084 | 89.32 | 89.32 | 89.4976 | 89.32 | 89.9416 | 89.32 |
0.65 | 90.43 | 90.742 | 90.43 | 90.67 | 90.598 | 90.43 | 90.598 | 90.91 |
0.66 | 90.952 | 91.0906 | 91.12 | 91.12 | 91.0234 | 90.91 | 90.9394 | 91.12 |
0.67 | 91.148 | 91.3468 | 91.19 | 91.19 | 91.1711 | 91.12 | 93.2732 | 91.19 |
0.68 | 92.534 | 93.486 | 93.43 | 93.43 | 93.2508 | 93.43 | 93.574 | 93.43 |
0.69 | 93.59 | 93.7133 | 93.63 | 93.63 | 93.6487 | 93.63 | 93.7167 | 93.63 |
0.7 | 93.8 | 93.8 | 93.8 | 93.8 | 93.8 | 93.8 | 93.8 | 93.8 |
0.71 | 93.858 | 94.0639 | 94.09 | 94.09 | 93.9421 | 93.8 | 93.8261 | 94.09 |
0.72 | 94.826 | 96.0644 | 95.93 | 95.93 | 95.3412 | 94.09 | 96.9156 | 95.93 |
0.73 | 96.602 | 97.083 | 97.05 | 97.05 | 96.9044 | 97.05 | 97.117 | 97.05 |
0.74 | 97.13 | 97.9168 | 97.15 | 97.15 | 97.2352 | 97.15 | 97.8032 | 98.57 |
0.75 | 98.57 | 98.7275 | 98.57 | 98.675 | 98.6225 | 98.57 | 98.6225 | 98.78 |
0.76 | 98.878 | 99.2504 | 99.27 | 99.27 | 98.9956 | 98.78 | 98.7996 | 99.27 |
0.77 | 99.578 | 100.0655 | 100.04 | 100.04 | 99.7551 | 99.27 | 100.1645 | 100.04 |
0.78 | 100.13 | 100.2546 | 100.19 | 100.19 | 100.163 | 100.19 | 100.2954 | 100.19 |
0.79 | 100.326 | 100.655 | 100.36 | 100.36 | 100.365 | 100.36 | 100.565 | 100.86 |
0.8 | 100.86 | 106.14 | 100.86 | 104.16 | 102.18 | 100.86 | 102.18 | 107.46 |
0.81 | 107.496 | 107.6491 | 107.64 | 107.64 | 107.5302 | 107.46 | 108.5409 | 107.64 |
0.82 | 108.004 | 108.8338 | 108.55 | 108.55 | 108.1678 | 107.64 | 109.5562 | 108.55 |
0.83 | 109.324 | 110.5452 | 109.84 | 109.84 | 109.5433 | 109.84 | 110.7748 | 109.84 |
0.84 | 111.152 | 113.8608 | 111.48 | 111.48 | 111.4144 | 111.48 | 112.8192 | 115.2 |
0.85 | 115.2 | 115.642 | 115.2 | 115.46 | 115.278 | 115.2 | 115.278 | 115.72 |
0.86 | 115.726 | 115.753 | 115.75 | 115.75 | 115.7302 | 115.72 | 115.797 | 115.75 |
0.87 | 115.77 | 115.9836 | 115.8 | 115.8 | 115.7765 | 115.75 | 116.2964 | 115.8 |
0.88 | 116.208 | 117.7136 | 116.48 | 116.48 | 116.2896 | 116.48 | 117.8164 | 116.48 |
0.89 | 118.536 | 120.1057 | 119.05 | 119.05 | 118.8187 | 119.05 | 119.5243 | 120.58 |
0.9 | 120.58 | 121.642 | 120.58 | 121.17 | 120.698 | 120.58 | 120.698 | 121.76 |
0.91 | 121.79 | 121.9892 | 121.91 | 121.91 | 121.8035 | 121.76 | 122.5508 | 121.91 |
0.92 | 122.198 | 123.526 | 122.63 | 122.63 | 122.2556 | 121.91 | 124.534 | 122.63 |
0.93 | 124.31 | 127.8044 | 125.43 | 125.43 | 124.506 | 125.43 | 127.5356 | 129.91 |
0.94 | 129.014 | 133.8468 | 129.91 | 129.91 | 129.2828 | 129.91 | 131.2932 | 135.23 |
0.95 | 135.23 | 137.301 | 135.23 | 136.32 | 135.339 | 135.23 | 135.339 | 137.41 |
0.96 | 137.882 | 140.0948 | 139.77 | 139.77 | 137.9764 | 137.41 | 141.4752 | 139.77 |
0.97 | 140.582 | 142.4216 | 141.8 | 141.8 | 140.6429 | 139.77 | 142.8584 | 141.8 |
0.98 | 142.808 | 146.1016 | 143.48 | 143.48 | 142.8416 | 143.48 | 145.3784 | 148 |
0.99 | 147.096 | 150.4174 | 148 | 148 | 147.1412 | 148 | 148.6426 | 151.06 |