Central Tendency - Ungrouped Data | |||
Measure | Value | S.E. | Value/S.E. |
Arithmetic Mean | 10.5709615384615 | 0.647456872523584 | 16.3268967974025 |
Geometric Mean | NaN | ||
Harmonic Mean | 3.32858959136114 | ||
Quadratic Mean | 12.4468015662968 | ||
Winsorized Mean ( 1 / 34 ) | 10.5793269230769 | 0.644312615533142 | 16.4195557684727 |
Winsorized Mean ( 2 / 34 ) | 10.5797115384615 | 0.642224555509969 | 16.4735394305510 |
Winsorized Mean ( 3 / 34 ) | 10.5436538461538 | 0.628725387967167 | 16.7698872161728 |
Winsorized Mean ( 4 / 34 ) | 10.5536538461538 | 0.624621633905817 | 16.8960747967708 |
Winsorized Mean ( 5 / 34 ) | 10.6243269230769 | 0.606214206375013 | 17.5256977011597 |
Winsorized Mean ( 6 / 34 ) | 10.6243269230769 | 0.602559077150732 | 17.6320087539221 |
Winsorized Mean ( 7 / 34 ) | 10.6761538461538 | 0.588039700267419 | 18.1554984149858 |
Winsorized Mean ( 8 / 34 ) | 10.7023076923077 | 0.582366124563412 | 18.3772840501858 |
Winsorized Mean ( 9 / 34 ) | 10.6945192307692 | 0.581267059380223 | 18.398632879992 |
Winsorized Mean ( 10 / 34 ) | 10.7002884615385 | 0.578413617133655 | 18.4993716340290 |
Winsorized Mean ( 11 / 34 ) | 10.6918269230769 | 0.568076934374752 | 18.8210896730824 |
Winsorized Mean ( 12 / 34 ) | 10.6802884615385 | 0.564543995311678 | 18.9184342588606 |
Winsorized Mean ( 13 / 34 ) | 10.6765384615385 | 0.560154907780035 | 19.0599748627588 |
Winsorized Mean ( 14 / 34 ) | 10.6913461538462 | 0.555323077379809 | 19.2524794832791 |
Winsorized Mean ( 15 / 34 ) | 10.7 | 0.539692797716806 | 19.8260937430828 |
Winsorized Mean ( 16 / 34 ) | 10.5938461538462 | 0.5160451539983 | 20.5289131615042 |
Winsorized Mean ( 17 / 34 ) | 10.5922115384615 | 0.512406150111749 | 20.6715152348416 |
Winsorized Mean ( 18 / 34 ) | 10.5991346153846 | 0.510055608241346 | 20.7803510913841 |
Winsorized Mean ( 19 / 34 ) | 10.6959615384615 | 0.488942720117056 | 21.8756944287888 |
Winsorized Mean ( 20 / 34 ) | 10.6767307692308 | 0.481755398952089 | 22.1621403568174 |
Winsorized Mean ( 21 / 34 ) | 10.6949038461538 | 0.478256612618086 | 22.3622707224214 |
Winsorized Mean ( 22 / 34 ) | 10.7181730769231 | 0.467118204324648 | 22.9453122950308 |
Winsorized Mean ( 23 / 34 ) | 10.7026923076923 | 0.459790764643121 | 23.2773103130931 |
Winsorized Mean ( 24 / 34 ) | 10.8434615384615 | 0.439589516101946 | 24.6672432832698 |
Winsorized Mean ( 25 / 34 ) | 10.9444230769231 | 0.424994263171822 | 25.7519313207725 |
Winsorized Mean ( 26 / 34 ) | 11.0094230769231 | 0.415709391866772 | 26.4834600620508 |
Winsorized Mean ( 27 / 34 ) | 11.0639423076923 | 0.407796438639718 | 27.1310420086016 |
Winsorized Mean ( 28 / 34 ) | 11.0424038461538 | 0.388523480220250 | 28.421458182898 |
Winsorized Mean ( 29 / 34 ) | 11.0675 | 0.380895277810976 | 29.0565429521875 |
Winsorized Mean ( 30 / 34 ) | 10.9117307692308 | 0.35762491987302 | 30.5116622552621 |
Winsorized Mean ( 31 / 34 ) | 10.9504807692308 | 0.35227817664171 | 31.0847548764513 |
Winsorized Mean ( 32 / 34 ) | 10.9504807692308 | 0.31972377045112 | 34.2498174401609 |
Winsorized Mean ( 33 / 34 ) | 10.9822115384615 | 0.310953475886661 | 35.3178606772173 |
Winsorized Mean ( 34 / 34 ) | 10.8972115384615 | 0.294364210778427 | 37.0194851800922 |
Trimmed Mean ( 1 / 34 ) | 10.5995098039216 | 0.631580148771698 | 16.7825252654561 |
Trimmed Mean ( 2 / 34 ) | 10.6205 | 0.617239592578493 | 17.2064464556353 |
Trimmed Mean ( 3 / 34 ) | 10.6421428571429 | 0.602295529014608 | 17.6693040948752 |
Trimmed Mean ( 4 / 34 ) | 10.6777083333333 | 0.591045599644324 | 18.0657944831311 |
Trimmed Mean ( 5 / 34 ) | 10.7120212765957 | 0.579632129958904 | 18.4807237606984 |
Trimmed Mean ( 6 / 34 ) | 10.7318478260870 | 0.571769429231924 | 18.769537644752 |
Trimmed Mean ( 7 / 34 ) | 10.7525555555556 | 0.563638761274687 | 19.0770335440350 |
Trimmed Mean ( 8 / 34 ) | 10.7654545454545 | 0.557432067288807 | 19.3125856533778 |
Trimmed Mean ( 9 / 34 ) | 10.775 | 0.5513495381965 | 19.5429564251486 |
Trimmed Mean ( 10 / 34 ) | 10.7860714285714 | 0.544467980728305 | 19.8102952062369 |
Trimmed Mean ( 11 / 34 ) | 10.7969512195122 | 0.536955509499348 | 20.1077203390262 |
Trimmed Mean ( 12 / 34 ) | 10.809375 | 0.529918800316423 | 20.3981723115797 |
Trimmed Mean ( 13 / 34 ) | 10.8237179487179 | 0.522229336740408 | 20.7259860510254 |
Trimmed Mean ( 14 / 34 ) | 10.8392105263158 | 0.513883486117024 | 21.0927395394983 |
Trimmed Mean ( 15 / 34 ) | 10.8392105263158 | 0.504811170260822 | 21.4718119662754 |
Trimmed Mean ( 16 / 34 ) | 10.8688888888889 | 0.496506676012856 | 21.8907205360668 |
Trimmed Mean ( 17 / 34 ) | 10.8944285714286 | 0.490096607526176 | 22.2291450381988 |
Trimmed Mean ( 18 / 34 ) | 10.9216176470588 | 0.482878750901935 | 22.6177226201383 |
Trimmed Mean ( 19 / 34 ) | 10.9498484848485 | 0.47449492187193 | 23.0768507314056 |
Trimmed Mean ( 20 / 34 ) | 10.9715625 | 0.467586265423397 | 23.4642531470964 |
Trimmed Mean ( 21 / 34 ) | 10.9962903225806 | 0.460159091994913 | 23.8967142318297 |
Trimmed Mean ( 22 / 34 ) | 11.0211666666667 | 0.451550567249591 | 24.4073808472813 |
Trimmed Mean ( 23 / 34 ) | 11.0458620689655 | 0.442691202960518 | 24.9516186341536 |
Trimmed Mean ( 24 / 34 ) | 11.0735714285714 | 0.432835743759763 | 25.5837730321958 |
Trimmed Mean ( 25 / 34 ) | 11.0920370370370 | 0.424022728880471 | 26.1590624312118 |
Trimmed Mean ( 26 / 34 ) | 11.1038461538462 | 0.415420624381905 | 26.7291643749448 |
Trimmed Mean ( 27 / 34 ) | 11.1114 | 0.406092179140628 | 27.361768019059 |
Trimmed Mean ( 28 / 34 ) | 11.1152083333333 | 0.395570105412928 | 28.0992122034358 |
Trimmed Mean ( 29 / 34 ) | 11.1210869565217 | 0.385639593986828 | 28.8380320120905 |
Trimmed Mean ( 30 / 34 ) | 11.1210869565217 | 0.374151818027019 | 29.7234609607554 |
Trimmed Mean ( 31 / 34 ) | 11.1430952380952 | 0.363754375924322 | 30.6335702760413 |
Trimmed Mean ( 32 / 34 ) | 11.15925 | 0.350990245225690 | 31.7936186312657 |
Trimmed Mean ( 33 / 34 ) | 11.1771052631579 | 0.341338239055693 | 32.7449549575201 |
Trimmed Mean ( 34 / 34 ) | 11.1941666666667 | 0.330058526556096 | 33.9157021134073 |
Median | 11.385 | ||
Midrange | 9.115 | ||
Midmean - Weighted Average at Xnp | 10.9973584905660 | ||
Midmean - Weighted Average at X(n+1)p | 11.1038461538462 | ||
Midmean - Empirical Distribution Function | 10.9973584905660 | ||
Midmean - Empirical Distribution Function - Averaging | 11.1038461538462 | ||
Midmean - Empirical Distribution Function - Interpolation | 11.1038461538462 | ||
Midmean - Closest Observation | 10.9973584905660 | ||
Midmean - True Basic - Statistics Graphics Toolkit | 11.1038461538462 | ||
Midmean - MS Excel (old versions) | 11.0920370370370 | ||
Number of observations | 104 |
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 | -4.5616 | -4.5495 | -3.4 | -3.4 | -3.3913 | -4.61 | -3.4605 | -4.61 |
0.02 | -3.3768 | -3.371 | -3.11 | -3.11 | -3.0668 | -3.4 | -3.139 | -3.4 |
0.03 | -3.0236 | -3.002 | -2.39 | -2.39 | -2.3522 | -3.11 | -2.498 | -3.11 |
0.04 | -2.3228 | -2.306 | -1.97 | -1.97 | -1.7528 | -2.39 | -2.054 | -2.39 |
0.05 | -1.608 | -1.5175 | -0.16 | -0.16 | -0.13 | -1.97 | -0.6125 | -1.97 |
0.06 | -0.112 | -0.1 | 0.04 | 0.04 | 0.2308 | -0.16 | -0.02 | -0.16 |
0.07 | 0.3368 | 0.411 | 1.1 | 1.1 | 1.1861 | 0.04 | 0.729 | 0.04 |
0.08 | 1.2312 | 1.264 | 1.51 | 1.51 | 1.51 | 1.1 | 1.346 | 1.1 |
0.09 | 1.51 | 1.51 | 1.51 | 1.51 | 1.5451 | 1.51 | 1.51 | 1.51 |
0.1 | 1.562 | 1.575 | 1.64 | 1.64 | 1.73 | 1.51 | 1.575 | 1.575 |
0.11 | 1.772 | 1.805 | 1.94 | 1.94 | 1.9598 | 1.64 | 1.775 | 1.94 |
0.12 | 1.9688 | 1.976 | 2 | 2 | 2.0396 | 1.94 | 1.964 | 2 |
0.13 | 2.0572 | 2.0715 | 2.11 | 2.11 | 2.1802 | 2.11 | 2.0385 | 2.11 |
0.14 | 2.2108 | 2.236 | 2.29 | 2.29 | 2.4664 | 2.29 | 2.164 | 2.29 |
0.15 | 2.542 | 2.605 | 2.71 | 2.71 | 2.8225 | 2.71 | 2.395 | 2.71 |
0.16 | 2.87 | 2.91 | 2.96 | 2.96 | 2.9984 | 2.96 | 2.76 | 2.96 |
0.17 | 3.0144 | 3.028 | 3.04 | 3.04 | 3.0757 | 3.04 | 2.972 | 3.04 |
0.18 | 3.0904 | 3.103 | 3.11 | 3.11 | 3.4826 | 3.11 | 3.047 | 3.11 |
0.19 | 3.6344 | 3.7655 | 3.8 | 3.8 | 3.857 | 3.8 | 3.1445 | 3.8 |
0.2 | 3.88 | 3.9 | 3.9 | 3.9 | 3.966 | 3.9 | 3.9 | 3.9 |
0.21 | 3.9924 | 4.023 | 4.01 | 4.01 | 4.1738 | 4.01 | 4.257 | 4.01 |
0.22 | 4.2388 | 4.28 | 4.27 | 4.27 | 4.336 | 4.27 | 4.36 | 4.27 |
0.23 | 4.362 | 4.466 | 4.37 | 4.37 | 4.8116 | 4.37 | 4.914 | 4.37 |
0.24 | 4.9844 | 5.1 | 5.01 | 5.01 | 5.334 | 5.01 | 5.37 | 5.01 |
0.25 | 5.46 | 5.53 | 5.46 | 5.6 | 5.67 | 5.46 | 5.67 | 5.46 |
0.26 | 5.7492 | 5.809 | 5.97 | 5.97 | 5.9194 | 5.74 | 5.901 | 5.74 |
0.27 | 5.9908 | 6.061 | 6.23 | 6.23 | 6.1806 | 5.97 | 6.139 | 5.97 |
0.28 | 6.2492 | 6.294 | 6.39 | 6.39 | 6.3644 | 6.23 | 6.326 | 6.23 |
0.29 | 6.4028 | 6.426 | 6.47 | 6.47 | 6.4596 | 6.39 | 6.434 | 6.39 |
0.3 | 6.498 | 6.54 | 6.61 | 6.61 | 6.596 | 6.47 | 6.54 | 6.54 |
0.31 | 6.7204 | 6.863 | 7.07 | 7.07 | 7.0378 | 6.61 | 6.817 | 7.07 |
0.32 | 7.1176 | 7.172 | 7.24 | 7.24 | 7.2332 | 7.07 | 7.138 | 7.24 |
0.33 | 7.272 | 7.305 | 7.34 | 7.34 | 7.339 | 7.24 | 7.275 | 7.34 |
0.34 | 7.448 | 7.55 | 7.64 | 7.64 | 7.649 | 7.34 | 7.43 | 7.64 |
0.35 | 7.82 | 7.9775 | 8.09 | 8.09 | 8.101 | 7.64 | 7.7525 | 8.09 |
0.36 | 8.1868 | 8.266 | 8.31 | 8.31 | 8.3116 | 8.09 | 8.134 | 8.31 |
0.37 | 8.3196 | 8.327 | 8.33 | 8.33 | 8.4323 | 8.31 | 8.313 | 8.33 |
0.38 | 8.8136 | 9.167 | 9.26 | 9.26 | 9.2978 | 9.26 | 8.423 | 9.26 |
0.39 | 9.4112 | 9.5165 | 9.53 | 9.53 | 9.5402 | 9.53 | 9.2735 | 9.53 |
0.4 | 9.566 | 9.59 | 9.59 | 9.59 | 9.614 | 9.59 | 9.59 | 9.59 |
0.41 | 9.6668 | 9.7115 | 9.71 | 9.71 | 9.7169 | 9.71 | 9.7385 | 9.71 |
0.42 | 9.7304 | 9.773 | 9.74 | 9.74 | 9.8258 | 9.74 | 10.037 | 9.74 |
0.43 | 9.9776 | 10.0805 | 10.07 | 10.07 | 10.0903 | 10.07 | 10.1295 | 10.07 |
0.44 | 10.1232 | 10.152 | 10.14 | 10.14 | 10.1592 | 10.14 | 10.188 | 10.14 |
0.45 | 10.188 | 10.225 | 10.2 | 10.2 | 10.235 | 10.2 | 10.275 | 10.2 |
0.46 | 10.284 | 10.357 | 10.3 | 10.3 | 10.3722 | 10.3 | 10.433 | 10.3 |
0.47 | 10.4672 | 10.5075 | 10.49 | 10.49 | 10.5105 | 10.49 | 10.5225 | 10.49 |
0.48 | 10.536 | 10.62 | 10.54 | 10.54 | 10.628 | 10.54 | 10.66 | 10.54 |
0.49 | 10.732 | 10.902 | 10.74 | 10.74 | 10.9092 | 10.74 | 10.938 | 10.74 |
0.5 | 11.1 | 11.385 | 11.1 | 11.385 | 11.385 | 11.1 | 11.385 | 11.385 |
0.51 | 11.6752 | 11.7415 | 11.8 | 11.8 | 11.7389 | 11.67 | 11.7285 | 11.8 |
0.52 | 11.8136 | 11.902 | 11.97 | 11.97 | 11.8952 | 11.8 | 11.868 | 11.97 |
0.53 | 11.9736 | 11.9895 | 12 | 12 | 11.9877 | 11.97 | 11.9805 | 12 |
0.54 | 12.0016 | 12.007 | 12.01 | 12.01 | 12.0062 | 12 | 12.003 | 12.01 |
0.55 | 12.016 | 12.0325 | 12.04 | 12.04 | 12.0295 | 12.01 | 12.0175 | 12.04 |
0.56 | 12.0448 | 12.056 | 12.06 | 12.06 | 12.0536 | 12.04 | 12.044 | 12.06 |
0.57 | 12.2196 | 12.5445 | 12.63 | 12.63 | 12.4647 | 12.06 | 12.1455 | 12.63 |
0.58 | 12.694 | 12.81 | 12.83 | 12.83 | 12.778 | 12.63 | 12.65 | 12.83 |
0.59 | 12.8408 | 12.8585 | 12.86 | 12.86 | 12.8531 | 12.83 | 12.8315 | 12.86 |
0.6 | 12.904 | 12.97 | 12.97 | 12.97 | 12.948 | 12.86 | 12.97 | 12.97 |
0.61 | 13.1636 | 13.4175 | 13.41 | 13.41 | 13.3352 | 12.97 | 13.5525 | 13.41 |
0.62 | 13.482 | 13.587 | 13.56 | 13.56 | 13.539 | 13.41 | 13.803 | 13.56 |
0.63 | 13.7004 | 13.845 | 13.83 | 13.83 | 13.8003 | 13.83 | 13.915 | 13.83 |
0.64 | 13.886 | 13.958 | 13.93 | 13.93 | 13.922 | 13.93 | 14.042 | 13.93 |
0.65 | 14.014 | 14.075 | 14.07 | 14.07 | 14.063 | 14.07 | 14.085 | 14.07 |
0.66 | 14.0828 | 14.105 | 14.09 | 14.09 | 14.0896 | 14.09 | 14.125 | 14.09 |
0.67 | 14.124 | 14.266 | 14.14 | 14.14 | 14.1436 | 14.14 | 14.374 | 14.14 |
0.68 | 14.3992 | 14.528 | 14.5 | 14.5 | 14.5028 | 14.5 | 14.542 | 14.5 |
0.69 | 14.5532 | 14.777 | 14.57 | 14.57 | 14.6022 | 14.57 | 14.823 | 14.57 |
0.7 | 14.938 | 15.035 | 15.03 | 15.03 | 15.031 | 15.03 | 15.035 | 15.035 |
0.71 | 15.0384 | 15.381 | 15.04 | 15.04 | 15.1206 | 15.04 | 15.319 | 15.66 |
0.72 | 15.5856 | 15.702 | 15.66 | 15.66 | 15.6712 | 15.66 | 15.688 | 15.73 |
0.73 | 15.7244 | 15.951 | 15.73 | 15.73 | 15.7946 | 15.73 | 15.849 | 16.07 |
0.74 | 16.0564 | 16.084 | 16.07 | 16.07 | 16.0744 | 16.07 | 16.076 | 16.09 |
0.75 | 16.09 | 16.105 | 16.09 | 16.1 | 16.095 | 16.09 | 16.095 | 16.11 |
0.76 | 16.1112 | 16.134 | 16.14 | 16.14 | 16.1184 | 16.11 | 16.116 | 16.14 |
0.77 | 16.1424 | 16.1655 | 16.17 | 16.17 | 16.1493 | 16.14 | 16.1445 | 16.17 |
0.78 | 16.1904 | 16.323 | 16.34 | 16.34 | 16.2278 | 16.17 | 16.187 | 16.34 |
0.79 | 16.364 | 16.4825 | 16.49 | 16.49 | 16.3955 | 16.34 | 16.3475 | 16.49 |
0.8 | 16.494 | 16.51 | 16.51 | 16.51 | 16.498 | 16.49 | 16.51 | 16.51 |
0.81 | 16.558 | 16.718 | 16.71 | 16.71 | 16.596 | 16.51 | 16.862 | 16.71 |
0.82 | 16.7548 | 16.873 | 16.87 | 16.87 | 16.7836 | 16.71 | 16.897 | 16.87 |
0.83 | 16.8796 | 16.9135 | 16.9 | 16.9 | 16.8847 | 16.87 | 16.9765 | 16.9 |
0.84 | 16.9324 | 17.178 | 16.99 | 16.99 | 16.9468 | 16.9 | 17.742 | 16.99 |
0.85 | 17.366 | 18.02 | 17.93 | 17.93 | 17.507 | 16.99 | 18.2 | 17.93 |
0.86 | 18.0884 | 18.311 | 18.29 | 18.29 | 18.1388 | 17.93 | 18.339 | 18.29 |
0.87 | 18.3236 | 18.409 | 18.36 | 18.36 | 18.3327 | 18.29 | 18.451 | 18.36 |
0.88 | 18.4328 | 18.564 | 18.5 | 18.5 | 18.4496 | 18.5 | 18.596 | 18.5 |
0.89 | 18.5896 | 18.831 | 18.66 | 18.66 | 18.6072 | 18.66 | 18.869 | 18.66 |
0.9 | 18.888 | 19.075 | 19.04 | 19.04 | 18.926 | 19.04 | 19.075 | 19.075 |
0.91 | 19.0848 | 19.1595 | 19.11 | 19.11 | 19.0911 | 19.11 | 19.1505 | 19.2 |
0.92 | 19.1712 | 19.242 | 19.2 | 19.2 | 19.1784 | 19.2 | 19.228 | 19.27 |
0.93 | 19.2504 | 19.4585 | 19.27 | 19.27 | 19.2553 | 19.27 | 19.3715 | 19.56 |
0.94 | 19.4904 | 19.7 | 19.56 | 19.56 | 19.5078 | 19.56 | 19.62 | 19.76 |
0.95 | 19.72 | 20.015 | 19.76 | 19.76 | 19.73 | 19.76 | 19.845 | 20.1 |
0.96 | 20.0456 | 20.228 | 20.1 | 20.1 | 20.0592 | 20.1 | 20.132 | 20.26 |
0.97 | 20.2408 | 21.9345 | 20.26 | 20.26 | 20.2456 | 20.26 | 20.5555 | 22.23 |
0.98 | 22.0724 | 22.473 | 22.23 | 22.23 | 22.1118 | 22.23 | 22.257 | 22.5 |
0.99 | 22.4892 | 22.823 | 22.5 | 22.5 | 22.4919 | 22.5 | 22.517 | 22.84 |
Frequency Table (Histogram) | |||||
Bins | Midpoint | Abs. Frequency | Rel. Frequency | Cumul. Rel. Freq. | Density |
[-5,0[ | -2.5 | 6 | 0.057692 | 0.057692 | 0.011538 |
[0,5[ | 2.5 | 18 | 0.173077 | 0.230769 | 0.034615 |
[5,10[ | 7.5 | 20 | 0.192308 | 0.423077 | 0.038462 |
[10,15[ | 12.5 | 28 | 0.269231 | 0.692308 | 0.053846 |
[15,20[ | 17.5 | 27 | 0.259615 | 0.951923 | 0.051923 |
[20,25] | 22.5 | 5 | 0.048077 | 1 | 0.009615 |
Properties of Density Trace | |
Bandwidth | 2.3472716655934 |
#Observations | 104 |