Central Tendency - Ungrouped Data | |||
Measure | Value | S.E. | Value/S.E. |
Arithmetic Mean | 2.12528846153846 | 0.24241965310963 | 8.766980870884 |
Geometric Mean | 0 | ||
Harmonic Mean | 0 | ||
Quadratic Mean | 3.25113545254104 | ||
Winsorized Mean ( 1 / 34 ) | 2.09230769230769 | 0.228765529505846 | 9.14607938017262 |
Winsorized Mean ( 2 / 34 ) | 2.08480769230769 | 0.226154451837803 | 9.21851272599711 |
Winsorized Mean ( 3 / 34 ) | 2.07269230769231 | 0.222081067573266 | 9.33304369589503 |
Winsorized Mean ( 4 / 34 ) | 2.01346153846154 | 0.203665842442275 | 9.88610320865274 |
Winsorized Mean ( 5 / 34 ) | 1.97403846153846 | 0.192683601047412 | 10.2449738888403 |
Winsorized Mean ( 6 / 34 ) | 1.92903846153846 | 0.181164420924994 | 10.6479983856053 |
Winsorized Mean ( 7 / 34 ) | 1.88125 | 0.169101913642441 | 11.1249480238161 |
Winsorized Mean ( 8 / 34 ) | 1.82278846153846 | 0.156417096267262 | 11.6533838374288 |
Winsorized Mean ( 9 / 34 ) | 1.81932692307692 | 0.155483674296687 | 11.7010800735604 |
Winsorized Mean ( 10 / 34 ) | 1.81548076923077 | 0.154743993442368 | 11.7321566339628 |
Winsorized Mean ( 11 / 34 ) | 1.80384615384615 | 0.151590356111299 | 11.8994783053465 |
Winsorized Mean ( 12 / 34 ) | 1.76115384615385 | 0.143838755286123 | 12.2439452611403 |
Winsorized Mean ( 13 / 34 ) | 1.76490384615385 | 0.141288017426868 | 12.4915323910421 |
Winsorized Mean ( 14 / 34 ) | 1.74201923076923 | 0.13736262604689 | 12.6819010447178 |
Winsorized Mean ( 15 / 34 ) | 1.70019230769231 | 0.130107167062421 | 13.0676299090934 |
Winsorized Mean ( 16 / 34 ) | 1.70019230769231 | 0.128861344450249 | 13.19396685597 |
Winsorized Mean ( 17 / 34 ) | 1.6675 | 0.123795748779924 | 13.4697678751826 |
Winsorized Mean ( 18 / 34 ) | 1.6675 | 0.123795748779924 | 13.4697678751826 |
Winsorized Mean ( 19 / 34 ) | 1.67298076923077 | 0.121266028159807 | 13.795955838729 |
Winsorized Mean ( 20 / 34 ) | 1.63836538461538 | 0.115634441005025 | 14.1684896850428 |
Winsorized Mean ( 21 / 34 ) | 1.59798076923077 | 0.108365752395084 | 14.7461788795116 |
Winsorized Mean ( 22 / 34 ) | 1.54721153846154 | 0.1015690438243 | 15.233101348655 |
Winsorized Mean ( 23 / 34 ) | 1.54278846153846 | 0.0999215951718135 | 15.4399903132617 |
Winsorized Mean ( 24 / 34 ) | 1.53817307692308 | 0.097106260986411 | 15.8401019800189 |
Winsorized Mean ( 25 / 34 ) | 1.53817307692308 | 0.09653014446572 | 15.9346397484085 |
Winsorized Mean ( 26 / 34 ) | 1.55567307692308 | 0.0927986534121776 | 16.763961757218 |
Winsorized Mean ( 27 / 34 ) | 1.55826923076923 | 0.0912975343272137 | 17.0680319271749 |
Winsorized Mean ( 28 / 34 ) | 1.56096153846154 | 0.0903782730999033 | 17.2714247011122 |
Winsorized Mean ( 29 / 34 ) | 1.55259615384615 | 0.0886835294413822 | 17.5071533984491 |
Winsorized Mean ( 30 / 34 ) | 1.55548076923077 | 0.0870390750977415 | 17.8710627092949 |
Winsorized Mean ( 31 / 34 ) | 1.57336538461538 | 0.0844721353247356 | 18.6258507443538 |
Winsorized Mean ( 32 / 34 ) | 1.54875 | 0.0800222485282814 | 19.3539925268738 |
Winsorized Mean ( 33 / 34 ) | 1.53605769230769 | 0.0748955481602719 | 20.5093323974427 |
Winsorized Mean ( 34 / 34 ) | 1.46740384615385 | 0.0653306342371936 | 22.4611908836855 |
Trimmed Mean ( 1 / 34 ) | 2.03098039215686 | 0.217232934276773 | 9.34932080588308 |
Trimmed Mean ( 2 / 34 ) | 1.9672 | 0.203730267309945 | 9.65590447592746 |
Trimmed Mean ( 3 / 34 ) | 1.90479591836735 | 0.189489899019054 | 10.0522293179111 |
Trimmed Mean ( 4 / 34 ) | 1.84416666666667 | 0.174487511910926 | 10.5690467270122 |
Trimmed Mean ( 5 / 34 ) | 1.79734042553191 | 0.163973563633357 | 10.9611597485967 |
Trimmed Mean ( 6 / 34 ) | 1.75739130434783 | 0.155225039660279 | 11.3215709797466 |
Trimmed Mean ( 7 / 34 ) | 1.72433333333333 | 0.148289207761647 | 11.6281782023204 |
Trimmed Mean ( 8 / 34 ) | 1.69784090909091 | 0.143253493674459 | 11.8520035047049 |
Trimmed Mean ( 9 / 34 ) | 1.67895348837209 | 0.140235392207627 | 11.9723948565445 |
Trimmed Mean ( 10 / 34 ) | 1.65964285714286 | 0.136916754070797 | 12.1215469093336 |
Trimmed Mean ( 11 / 34 ) | 1.63987804878049 | 0.133193862680604 | 12.3119640483202 |
Trimmed Mean ( 12 / 34 ) | 1.6205 | 0.129435837680101 | 12.5197165564382 |
Trimmed Mean ( 13 / 34 ) | 1.60487179487179 | 0.126458950863135 | 12.690851726334 |
Trimmed Mean ( 14 / 34 ) | 1.58802631578947 | 0.12337363301816 | 12.8716831703879 |
Trimmed Mean ( 15 / 34 ) | 1.58802631578947 | 0.120413802883526 | 13.1880754345541 |
Trimmed Mean ( 16 / 34 ) | 1.56027777777778 | 0.118129158681334 | 13.2082357581737 |
Trimmed Mean ( 17 / 34 ) | 1.54728571428571 | 0.115593333253672 | 13.3855964763138 |
Trimmed Mean ( 18 / 34 ) | 1.53647058823529 | 0.113392835917038 | 13.5499793775281 |
Trimmed Mean ( 19 / 34 ) | 1.525 | 0.110737146512431 | 13.7713499763045 |
Trimmed Mean ( 20 / 34 ) | 1.51234375 | 0.107914653912904 | 14.0142575189148 |
Trimmed Mean ( 21 / 34 ) | 1.50177419354839 | 0.105445975449144 | 14.242119598701 |
Trimmed Mean ( 22 / 34 ) | 1.49383333333333 | 0.103626636320875 | 14.4155343294918 |
Trimmed Mean ( 23 / 34 ) | 1.48948275862069 | 0.102456938386134 | 14.5376465672556 |
Trimmed Mean ( 24 / 34 ) | 1.48517857142857 | 0.101209244185175 | 14.6743371456391 |
Trimmed Mean ( 25 / 34 ) | 1.48092592592593 | 0.100038521063699 | 14.8035567717256 |
Trimmed Mean ( 26 / 34 ) | 1.47634615384615 | 0.098595731723993 | 14.9737329195853 |
Trimmed Mean ( 27 / 34 ) | 1.47 | 0.0973040679142093 | 15.1072820644669 |
Trimmed Mean ( 28 / 34 ) | 1.46291666666667 | 0.0958273780141592 | 15.2661660684331 |
Trimmed Mean ( 29 / 34 ) | 1.455 | 0.0940062440109351 | 15.4776952883124 |
Trimmed Mean ( 30 / 34 ) | 1.455 | 0.0919075389922992 | 15.8311278481944 |
Trimmed Mean ( 31 / 34 ) | 1.43809523809524 | 0.089407806573779 | 16.0846719453802 |
Trimmed Mean ( 32 / 34 ) | 1.42675 | 0.0865176634551788 | 16.4908521915775 |
Trimmed Mean ( 33 / 34 ) | 1.41631578947368 | 0.0836825106960314 | 16.9248720872909 |
Trimmed Mean ( 34 / 34 ) | 1.40583333333333 | 0.0810363185283915 | 17.348188551295 |
Median | 1.35 | ||
Midrange | 6.935 | ||
Midmean - Weighted Average at Xnp | 1.45622641509434 | ||
Midmean - Weighted Average at X(n+1)p | 1.47634615384615 | ||
Midmean - Empirical Distribution Function | 1.45622641509434 | ||
Midmean - Empirical Distribution Function - Averaging | 1.47634615384615 | ||
Midmean - Empirical Distribution Function - Interpolation | 1.47634615384615 | ||
Midmean - Closest Observation | 1.45622641509434 | ||
Midmean - True Basic - Statistics Graphics Toolkit | 1.47634615384615 | ||
Midmean - MS Excel (old versions) | 1.48092592592593 | ||
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 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0.02 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0.03 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0.04 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0.05 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0.06 | 0 | 0 | 0 | 0 | 0.0072 | 0 | 0 | 0 |
0.07 | 0.0112 | 0.014 | 0.04 | 0.04 | 0.0442 | 0 | 0.026 | 0 |
0.08 | 0.0464 | 0.048 | 0.06 | 0.06 | 0.0624 | 0.04 | 0.052 | 0.04 |
0.09 | 0.0636 | 0.0645 | 0.07 | 0.07 | 0.07 | 0.06 | 0.0655 | 0.06 |
0.1 | 0.07 | 0.07 | 0.07 | 0.07 | 0.079 | 0.07 | 0.07 | 0.07 |
0.11 | 0.0832 | 0.0865 | 0.1 | 0.1 | 0.1 | 0.07 | 0.0835 | 0.1 |
0.12 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1324 | 0.1 | 0.1 | 0.1 |
0.13 | 0.1468 | 0.1585 | 0.19 | 0.19 | 0.19 | 0.19 | 0.1315 | 0.19 |
0.14 | 0.19 | 0.19 | 0.19 | 0.19 | 0.1942 | 0.19 | 0.19 | 0.19 |
0.15 | 0.196 | 0.1975 | 0.2 | 0.2 | 0.2135 | 0.2 | 0.1925 | 0.2 |
0.16 | 0.2192 | 0.224 | 0.23 | 0.23 | 0.23 | 0.23 | 0.206 | 0.23 |
0.17 | 0.23 | 0.23 | 0.23 | 0.23 | 0.23 | 0.23 | 0.23 | 0.23 |
0.18 | 0.23 | 0.23 | 0.23 | 0.23 | 0.2678 | 0.23 | 0.23 | 0.23 |
0.19 | 0.2832 | 0.2965 | 0.3 | 0.3 | 0.3057 | 0.3 | 0.2335 | 0.3 |
0.2 | 0.308 | 0.31 | 0.31 | 0.31 | 0.328 | 0.31 | 0.31 | 0.31 |
0.21 | 0.3352 | 0.34 | 0.34 | 0.34 | 0.34 | 0.34 | 0.34 | 0.34 |
0.22 | 0.34 | 0.342 | 0.34 | 0.34 | 0.3532 | 0.34 | 0.358 | 0.34 |
0.23 | 0.3584 | 0.366 | 0.36 | 0.36 | 0.3876 | 0.36 | 0.394 | 0.36 |
0.24 | 0.3984 | 0.402 | 0.4 | 0.4 | 0.4072 | 0.4 | 0.408 | 0.4 |
0.25 | 0.41 | 0.435 | 0.41 | 0.46 | 0.485 | 0.41 | 0.485 | 0.41 |
0.26 | 0.5112 | 0.519 | 0.54 | 0.54 | 0.5334 | 0.51 | 0.531 | 0.51 |
0.27 | 0.5416 | 0.547 | 0.56 | 0.56 | 0.5562 | 0.54 | 0.553 | 0.54 |
0.28 | 0.5612 | 0.564 | 0.57 | 0.57 | 0.5684 | 0.56 | 0.566 | 0.56 |
0.29 | 0.5748 | 0.5835 | 0.6 | 0.6 | 0.5961 | 0.57 | 0.5865 | 0.57 |
0.3 | 0.614 | 0.635 | 0.67 | 0.67 | 0.663 | 0.6 | 0.635 | 0.635 |
0.31 | 0.6748 | 0.681 | 0.69 | 0.69 | 0.6886 | 0.67 | 0.679 | 0.69 |
0.32 | 0.704 | 0.72 | 0.74 | 0.74 | 0.738 | 0.69 | 0.71 | 0.74 |
0.33 | 0.7464 | 0.753 | 0.76 | 0.76 | 0.7598 | 0.74 | 0.747 | 0.76 |
0.34 | 0.76 | 0.76 | 0.76 | 0.76 | 0.7606 | 0.76 | 0.76 | 0.76 |
0.35 | 0.772 | 0.7825 | 0.79 | 0.79 | 0.79 | 0.76 | 0.7675 | 0.79 |
0.36 | 0.79 | 0.79 | 0.79 | 0.79 | 0.7908 | 0.79 | 0.79 | 0.79 |
0.37 | 0.7948 | 0.7985 | 0.8 | 0.8 | 0.8077 | 0.79 | 0.7915 | 0.8 |
0.38 | 0.8364 | 0.863 | 0.87 | 0.87 | 0.8756 | 0.87 | 0.807 | 0.87 |
0.39 | 0.8924 | 0.908 | 0.91 | 0.91 | 0.9134 | 0.91 | 0.872 | 0.91 |
0.4 | 0.922 | 0.93 | 0.93 | 0.93 | 0.936 | 0.93 | 0.93 | 0.93 |
0.41 | 0.9492 | 0.9605 | 0.96 | 0.96 | 0.9623 | 0.96 | 0.9695 | 0.96 |
0.42 | 0.9668 | 0.974 | 0.97 | 0.97 | 0.9804 | 0.97 | 1.006 | 0.97 |
0.43 | 0.9988 | 1.013 | 1.01 | 1.01 | 1.0158 | 1.01 | 1.027 | 1.01 |
0.44 | 1.0252 | 1.042 | 1.03 | 1.03 | 1.0492 | 1.03 | 1.078 | 1.03 |
0.45 | 1.078 | 1.115 | 1.09 | 1.09 | 1.125 | 1.09 | 1.165 | 1.09 |
0.46 | 1.174 | 1.196 | 1.19 | 1.19 | 1.1976 | 1.19 | 1.204 | 1.19 |
0.47 | 1.2076 | 1.21 | 1.21 | 1.21 | 1.21 | 1.21 | 1.21 | 1.21 |
0.48 | 1.21 | 1.222 | 1.21 | 1.21 | 1.2232 | 1.21 | 1.228 | 1.21 |
0.49 | 1.2388 | 1.2805 | 1.24 | 1.24 | 1.2823 | 1.24 | 1.2895 | 1.24 |
0.5 | 1.33 | 1.35 | 1.33 | 1.35 | 1.35 | 1.33 | 1.35 | 1.35 |
0.51 | 1.3708 | 1.381 | 1.39 | 1.39 | 1.3806 | 1.37 | 1.379 | 1.39 |
0.52 | 1.3932 | 1.414 | 1.43 | 1.43 | 1.4124 | 1.39 | 1.406 | 1.43 |
0.53 | 1.4336 | 1.4495 | 1.46 | 1.46 | 1.4477 | 1.43 | 1.4405 | 1.46 |
0.54 | 1.4616 | 1.467 | 1.47 | 1.47 | 1.4662 | 1.46 | 1.463 | 1.47 |
0.55 | 1.496 | 1.5675 | 1.6 | 1.6 | 1.5545 | 1.47 | 1.5025 | 1.6 |
0.56 | 1.624 | 1.68 | 1.7 | 1.7 | 1.668 | 1.6 | 1.62 | 1.7 |
0.57 | 1.7252 | 1.7765 | 1.79 | 1.79 | 1.7639 | 1.7 | 1.7135 | 1.79 |
0.58 | 1.822 | 1.88 | 1.89 | 1.89 | 1.864 | 1.79 | 1.8 | 1.89 |
0.59 | 1.9044 | 1.928 | 1.93 | 1.93 | 1.9208 | 1.89 | 1.892 | 1.93 |
0.6 | 1.95 | 1.98 | 1.98 | 1.98 | 1.97 | 1.93 | 1.98 | 1.98 |
0.61 | 1.9888 | 2.0005 | 2 | 2 | 1.9966 | 1.98 | 2.0095 | 2 |
0.62 | 2.0048 | 2.018 | 2.01 | 2.01 | 2.0086 | 2 | 2.082 | 2.01 |
0.63 | 2.0516 | 2.0915 | 2.09 | 2.09 | 2.0812 | 2.09 | 2.0985 | 2.09 |
0.64 | 2.0956 | 2.1 | 2.1 | 2.1 | 2.0992 | 2.1 | 2.1 | 2.1 |
0.65 | 2.1 | 2.1275 | 2.1 | 2.1 | 2.1 | 2.1 | 2.1825 | 2.1 |
0.66 | 2.1704 | 2.219 | 2.21 | 2.21 | 2.2078 | 2.21 | 2.231 | 2.21 |
0.67 | 2.2304 | 2.3205 | 2.24 | 2.24 | 2.2423 | 2.24 | 2.3895 | 2.24 |
0.68 | 2.4056 | 2.506 | 2.47 | 2.47 | 2.4736 | 2.47 | 2.524 | 2.47 |
0.69 | 2.5384 | 2.605 | 2.56 | 2.56 | 2.567 | 2.56 | 2.615 | 2.56 |
0.7 | 2.64 | 2.665 | 2.66 | 2.66 | 2.661 | 2.66 | 2.665 | 2.665 |
0.71 | 2.6684 | 2.681 | 2.67 | 2.67 | 2.6726 | 2.67 | 2.679 | 2.69 |
0.72 | 2.6876 | 2.714 | 2.69 | 2.69 | 2.6964 | 2.69 | 2.706 | 2.73 |
0.73 | 2.7268 | 2.7365 | 2.73 | 2.73 | 2.7319 | 2.73 | 2.7335 | 2.74 |
0.74 | 2.7396 | 2.754 | 2.74 | 2.74 | 2.7444 | 2.74 | 2.746 | 2.76 |
0.75 | 2.76 | 2.7825 | 2.76 | 2.775 | 2.7675 | 2.76 | 2.7675 | 2.79 |
0.76 | 2.7904 | 2.798 | 2.8 | 2.8 | 2.7928 | 2.79 | 2.792 | 2.8 |
0.77 | 2.8048 | 2.851 | 2.86 | 2.86 | 2.8186 | 2.8 | 2.809 | 2.86 |
0.78 | 2.8648 | 2.896 | 2.9 | 2.9 | 2.8736 | 2.86 | 2.864 | 2.9 |
0.79 | 2.9384 | 3.128 | 3.14 | 3.14 | 2.9888 | 2.9 | 2.912 | 3.14 |
0.8 | 3.186 | 3.37 | 3.37 | 3.37 | 3.232 | 3.14 | 3.37 | 3.37 |
0.81 | 3.4156 | 3.562 | 3.56 | 3.56 | 3.4517 | 3.37 | 3.598 | 3.56 |
0.82 | 3.5712 | 3.6 | 3.6 | 3.6 | 3.5784 | 3.56 | 3.6 | 3.6 |
0.83 | 3.6 | 3.63 | 3.6 | 3.6 | 3.6 | 3.6 | 3.77 | 3.6 |
0.84 | 3.672 | 3.806 | 3.8 | 3.8 | 3.704 | 3.6 | 3.824 | 3.8 |
0.85 | 3.812 | 3.905 | 3.83 | 3.83 | 3.8165 | 3.8 | 4.055 | 3.83 |
0.86 | 3.962 | 4.181 | 4.13 | 4.13 | 4.004 | 3.83 | 4.249 | 4.13 |
0.87 | 4.2116 | 4.321 | 4.3 | 4.3 | 4.2337 | 4.13 | 4.339 | 4.3 |
0.88 | 4.3312 | 4.508 | 4.36 | 4.36 | 4.3384 | 4.36 | 4.582 | 4.36 |
0.89 | 4.5672 | 4.793 | 4.73 | 4.73 | 4.6079 | 4.73 | 4.807 | 4.73 |
0.9 | 4.814 | 4.89 | 4.87 | 4.87 | 4.828 | 4.87 | 4.89 | 4.89 |
0.91 | 4.8956 | 4.9375 | 4.91 | 4.91 | 4.8992 | 4.91 | 4.9325 | 4.96 |
0.92 | 4.944 | 5.428 | 4.96 | 4.96 | 4.948 | 4.96 | 5.272 | 5.74 |
0.93 | 5.5216 | 6.2275 | 5.74 | 5.74 | 5.5762 | 5.74 | 6.0025 | 6.49 |
0.94 | 6.31 | 7.036 | 6.49 | 6.49 | 6.355 | 6.49 | 6.724 | 7.27 |
0.95 | 7.114 | 7.885 | 7.27 | 7.27 | 7.153 | 7.27 | 7.475 | 8.09 |
0.96 | 7.9588 | 9.322 | 8.09 | 8.09 | 7.9916 | 8.09 | 8.398 | 9.63 |
0.97 | 9.4452 | 9.987 | 9.63 | 9.63 | 9.4914 | 9.63 | 9.693 | 10.05 |
0.98 | 10.0164 | 10.401 | 10.05 | 10.05 | 10.0248 | 10.05 | 10.089 | 10.44 |
0.99 | 10.4244 | 13.6985 | 10.44 | 10.44 | 10.4283 | 10.44 | 10.6115 | 13.87 |
Frequency Table (Histogram) | |||||
Bins | Midpoint | Abs. Frequency | Rel. Frequency | Cumul. Rel. Freq. | Density |
[0,2[ | 1 | 64 | 0.615385 | 0.615385 | 0.307692 |
[2,4[ | 3 | 25 | 0.240385 | 0.855769 | 0.120192 |
[4,6[ | 5 | 8 | 0.076923 | 0.932692 | 0.038462 |
[6,8[ | 7 | 2 | 0.019231 | 0.951923 | 0.009615 |
[8,10[ | 9 | 2 | 0.019231 | 0.971154 | 0.009615 |
[10,12[ | 11 | 2 | 0.019231 | 0.990385 | 0.009615 |
[12,14] | 13 | 1 | 0.009615 | 1 | 0.004808 |
Properties of Density Trace | |
Bandwidth | 0.605538595816418 |
#Observations | 104 |