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 | 1.5812 | 1.5814 | 1.59 | 1.59 | 1.5955 | 1.59 | 1.5786 | 1.59 |
0.02 | 1.6012 | 1.6014 | 1.61 | 1.61 | 1.611 | 1.6 | 1.6086 | 1.6 |
0.03 | 1.6168 | 1.6171 | 1.62 | 1.62 | 1.633 | 1.62 | 1.6129 | 1.62 |
0.04 | 1.64 | 1.64 | 1.64 | 1.64 | 1.642 | 1.64 | 1.64 | 1.64 |
0.05 | 1.648 | 1.6485 | 1.65 | 1.65 | 1.65 | 1.65 | 1.6415 | 1.65 |
0.06 | 1.6536 | 1.6542 | 1.66 | 1.66 | 1.663 | 1.65 | 1.6558 | 1.65 |
0.07 | 1.6692 | 1.6699 | 1.67 | 1.67 | 1.67 | 1.67 | 1.6601 | 1.67 |
0.08 | 1.7372 | 1.7484 | 1.81 | 1.81 | 1.826 | 1.67 | 1.7316 | 1.81 |
0.09 | 1.8512 | 1.8539 | 1.88 | 1.88 | 1.8785 | 1.85 | 1.8761 | 1.85 |
0.1 | 1.898 | 1.901 | 1.91 | 1.91 | 1.915 | 1.91 | 1.889 | 1.91 |
0.11 | 1.92 | 1.92 | 1.92 | 1.92 | 1.9245 | 1.92 | 1.92 | 1.92 |
0.12 | 1.9848 | 1.9956 | 2.01 | 2.01 | 2.016 | 2.01 | 1.9344 | 2.01 |
0.13 | 2.0424 | 2.0528 | 2.1 | 2.1 | 2.103 | 2.02 | 2.0672 | 2.02 |
0.14 | 2.1168 | 2.1196 | 2.12 | 2.12 | 2.162 | 2.12 | 2.1004 | 2.12 |
0.15 | 2.204 | 2.213 | 2.24 | 2.24 | 2.2525 | 2.18 | 2.207 | 2.24 |
0.16 | 2.288 | 2.296 | 2.29 | 2.29 | 2.33 | 2.29 | 2.334 | 2.29 |
0.17 | 2.3764 | 2.3883 | 2.41 | 2.41 | 2.4345 | 2.41 | 2.3617 | 2.41 |
0.18 | 2.4832 | 2.4904 | 2.52 | 2.52 | 2.516 | 2.48 | 2.5096 | 2.48 |
0.19 | 2.5456 | 2.5532 | 2.56 | 2.56 | 2.5645 | 2.56 | 2.5268 | 2.56 |
0.2 | 2.572 | 2.574 | 2.58 | 2.58 | 2.58 | 2.57 | 2.576 | 2.57 |
0.21 | 2.5876 | 2.5897 | 2.59 | 2.59 | 2.612 | 2.59 | 2.5803 | 2.59 |
0.22 | 2.63 | 2.63 | 2.63 | 2.63 | 2.63 | 2.63 | 2.63 | 2.63 |
0.23 | 2.63 | 2.6322 | 2.63 | 2.63 | 2.643 | 2.63 | 2.6478 | 2.63 |
0.24 | 2.6588 | 2.6636 | 2.67 | 2.67 | 2.674 | 2.65 | 2.6564 | 2.67 |
0.25 | 2.69 | 2.69 | 2.69 | 2.69 | 2.69 | 2.69 | 2.69 | 2.69 |
0.26 | 2.69 | 2.69 | 2.69 | 2.69 | 2.693 | 2.69 | 2.69 | 2.69 |
0.27 | 2.706 | 2.7195 | 2.75 | 2.75 | 2.7425 | 2.7 | 2.7305 | 2.7 |
0.28 | 2.7636 | 2.7692 | 2.77 | 2.77 | 2.81 | 2.77 | 2.7508 | 2.77 |
0.29 | 2.894 | 2.923 | 2.97 | 2.97 | 2.965 | 2.87 | 2.917 | 2.97 |
0.3 | 2.994 | 3.003 | 3 | 3 | 3.015 | 3 | 3.027 | 3 |
0.31 | 3.0876 | 3.1372 | 3.19 | 3.19 | 3.1985 | 3.03 | 3.0828 | 3.19 |
0.32 | 3.3464 | 3.3888 | 3.36 | 3.36 | 3.432 | 3.36 | 3.4512 | 3.36 |
0.33 | 3.4944 | 3.5043 | 3.51 | 3.51 | 3.5175 | 3.48 | 3.4857 | 3.51 |
0.34 | 3.5648 | 3.6056 | 3.68 | 3.68 | 3.644 | 3.56 | 3.6344 | 3.56 |
0.35 | 3.752 | 3.794 | 3.8 | 3.8 | 3.805 | 3.8 | 3.686 | 3.8 |
0.36 | 3.8248 | 3.8356 | 3.85 | 3.85 | 3.844 | 3.82 | 3.8344 | 3.85 |
0.37 | 3.8932 | 3.9118 | 3.91 | 3.91 | 3.917 | 3.91 | 3.9282 | 3.91 |
0.38 | 3.9384 | 3.9498 | 3.96 | 3.96 | 3.957 | 3.93 | 3.9402 | 3.96 |
0.39 | 3.9852 | 3.9992 | 3.99 | 3.99 | 4.008 | 3.99 | 4.0208 | 3.99 |
0.4 | 4.034 | 4.038 | 4.04 | 4.04 | 4.04 | 4.03 | 4.032 | 4.04 |
0.41 | 4.0496 | 4.0611 | 4.05 | 4.05 | 4.0665 | 4.05 | 4.0689 | 4.05 |
0.42 | 4.08 | 4.08 | 4.08 | 4.08 | 4.083 | 4.08 | 4.08 | 4.08 |
0.43 | 4.1124 | 4.1253 | 4.14 | 4.14 | 4.1295 | 4.11 | 4.1247 | 4.14 |
0.44 | 4.172 | 4.1988 | 4.19 | 4.19 | 4.212 | 4.19 | 4.2912 | 4.19 |
0.45 | 4.3 | 4.3 | 4.3 | 4.3 | 4.3 | 4.3 | 4.3 | 4.3 |
0.46 | 4.3228 | 4.3366 | 4.33 | 4.33 | 4.339 | 4.33 | 4.3534 | 4.33 |
0.47 | 4.3664 | 4.3758 | 4.38 | 4.38 | 4.377 | 4.36 | 4.3642 | 4.38 |
0.48 | 4.4328 | 4.458 | 4.44 | 4.44 | 4.46 | 4.44 | 4.472 | 4.44 |
0.49 | 4.4988 | 4.5086 | 4.51 | 4.51 | 4.509 | 4.49 | 4.4914 | 4.51 |
0.5 | 4.52 | 4.53 | 4.52 | 4.53 | 4.53 | 4.52 | 4.53 | 4.53 |
0.51 | 4.6072 | 4.6621 | 4.66 | 4.66 | 4.6615 | 4.66 | 4.6879 | 4.66 |
0.52 | 4.6936 | 4.7092 | 4.72 | 4.72 | 4.708 | 4.69 | 4.7008 | 4.72 |
0.53 | 4.7608 | 4.7821 | 4.78 | 4.78 | 4.7815 | 4.78 | 4.7879 | 4.78 |
0.54 | 4.79 | 4.79 | 4.79 | 4.79 | 4.79 | 4.79 | 4.79 | 4.79 |
0.55 | 4.806 | 4.8135 | 4.81 | 4.81 | 4.8125 | 4.81 | 4.8165 | 4.81 |
0.56 | 4.82 | 4.82 | 4.82 | 4.82 | 4.82 | 4.82 | 4.82 | 4.82 |
0.57 | 4.8384 | 4.8694 | 4.84 | 4.84 | 4.861 | 4.84 | 4.8706 | 4.84 |
0.58 | 4.9 | 4.9012 | 4.9 | 4.9 | 4.9 | 4.9 | 4.9188 | 4.9 |
0.59 | 4.9204 | 4.9263 | 4.93 | 4.93 | 4.9245 | 4.92 | 4.9237 | 4.93 |
0.6 | 4.936 | 4.946 | 4.94 | 4.94 | 4.94 | 4.94 | 4.964 | 4.94 |
0.61 | 4.9716 | 4.9777 | 4.98 | 4.98 | 4.9755 | 4.97 | 4.9723 | 4.98 |
0.62 | 4.98 | 4.98 | 4.98 | 4.98 | 4.98 | 4.98 | 4.98 | 4.98 |
0.63 | 4.994 | 5.0255 | 5.03 | 5.03 | 5.0125 | 4.98 | 4.9845 | 5.03 |
0.64 | 5.03 | 5.0348 | 5.03 | 5.03 | 5.032 | 5.03 | 5.0352 | 5.03 |
0.65 | 5.044 | 5.05 | 5.05 | 5.05 | 5.0475 | 5.04 | 5.05 | 5.05 |
0.66 | 5.05 | 5.05 | 5.05 | 5.05 | 5.05 | 5.05 | 5.05 | 5.05 |
0.67 | 5.0552 | 5.0619 | 5.06 | 5.06 | 5.0585 | 5.06 | 5.0681 | 5.06 |
0.68 | 5.0716 | 5.0852 | 5.09 | 5.09 | 5.078 | 5.07 | 5.0748 | 5.09 |
0.69 | 5.0964 | 5.1033 | 5.1 | 5.1 | 5.0995 | 5.1 | 5.1067 | 5.1 |
0.7 | 5.112 | 5.119 | 5.12 | 5.12 | 5.115 | 5.11 | 5.111 | 5.12 |
0.71 | 5.12 | 5.12 | 5.12 | 5.12 | 5.12 | 5.12 | 5.12 | 5.12 |
0.72 | 5.1264 | 5.1404 | 5.14 | 5.14 | 5.132 | 5.12 | 5.1496 | 5.14 |
0.73 | 5.1488 | 5.1744 | 5.15 | 5.15 | 5.156 | 5.15 | 5.1656 | 5.19 |
0.74 | 5.1988 | 5.2154 | 5.21 | 5.21 | 5.204 | 5.19 | 5.2346 | 5.21 |
0.75 | 5.24 | 5.2475 | 5.24 | 5.245 | 5.2425 | 5.24 | 5.2425 | 5.25 |
0.76 | 5.2668 | 5.2896 | 5.28 | 5.28 | 5.274 | 5.28 | 5.3004 | 5.28 |
0.77 | 5.31 | 5.31 | 5.31 | 5.31 | 5.31 | 5.31 | 5.31 | 5.31 |
0.78 | 5.3236 | 5.3346 | 5.33 | 5.33 | 5.328 | 5.33 | 5.3354 | 5.33 |
0.79 | 5.3424 | 5.3509 | 5.35 | 5.35 | 5.3445 | 5.34 | 5.3791 | 5.35 |
0.8 | 5.374 | 5.41 | 5.38 | 5.38 | 5.38 | 5.38 | 5.4 | 5.43 |
0.81 | 5.43 | 5.4317 | 5.43 | 5.43 | 5.43 | 5.43 | 5.4383 | 5.43 |
0.82 | 5.4392 | 5.4622 | 5.44 | 5.44 | 5.443 | 5.44 | 5.4478 | 5.47 |
0.83 | 5.5084 | 5.5655 | 5.55 | 5.55 | 5.522 | 5.47 | 5.5845 | 5.55 |
0.84 | 5.602 | 5.644 | 5.65 | 5.65 | 5.61 | 5.6 | 5.606 | 5.65 |
0.85 | 5.656 | 5.669 | 5.66 | 5.66 | 5.6575 | 5.66 | 5.671 | 5.66 |
0.86 | 5.68 | 5.6812 | 5.68 | 5.68 | 5.68 | 5.68 | 5.7388 | 5.68 |
0.87 | 5.7232 | 5.74 | 5.74 | 5.74 | 5.731 | 5.74 | 5.74 | 5.74 |
0.88 | 5.7456 | 5.76 | 5.76 | 5.76 | 5.748 | 5.74 | 5.76 | 5.76 |
0.89 | 5.76 | 5.8695 | 5.76 | 5.76 | 5.76 | 5.76 | 5.8005 | 5.91 |
0.9 | 5.914 | 5.953 | 5.92 | 5.92 | 5.915 | 5.91 | 5.997 | 5.92 |
0.91 | 6.0256 | 6.0387 | 6.03 | 6.03 | 6.0305 | 6.03 | 6.0313 | 6.04 |
0.92 | 6.092 | 6.1532 | 6.14 | 6.14 | 6.1 | 6.14 | 6.1568 | 6.14 |
0.93 | 6.1708 | 6.181 | 6.18 | 6.18 | 6.1715 | 6.17 | 6.279 | 6.18 |
0.94 | 6.244 | 6.3206 | 6.28 | 6.28 | 6.25 | 6.28 | 6.3094 | 6.35 |
0.95 | 6.362 | 6.413 | 6.41 | 6.41 | 6.365 | 6.35 | 6.427 | 6.41 |
0.96 | 6.4252 | 6.4804 | 6.43 | 6.43 | 6.426 | 6.43 | 6.4496 | 6.5 |
0.97 | 6.5128 | 6.5429 | 6.54 | 6.54 | 6.514 | 6.5 | 6.5471 | 6.54 |
0.98 | 6.5488 | 6.5758 | 6.55 | 6.55 | 6.549 | 6.55 | 6.5542 | 6.58 |
0.99 | 6.6636 | 6.8388 | 6.77 | 6.77 | 6.6655 | 6.58 | 6.8612 | 6.77 |