| Central Tendency - Ungrouped Data | |||
| Measure | Value | S.E. | Value/S.E. |
| Arithmetic Mean | 8.19282700421941 | 0.0685796749344633 | 119.464360425282 |
| Geometric Mean | 8.12389585475275 | ||
| Harmonic Mean | 8.05396367202971 | ||
| Quadratic Mean | 8.26028830424207 | ||
| Winsorized Mean ( 1 / 79 ) | 8.19324894514768 | 0.0685237827471459 | 119.567960446389 |
| Winsorized Mean ( 2 / 79 ) | 8.19324894514768 | 0.0685237827471459 | 119.567960446389 |
| Winsorized Mean ( 3 / 79 ) | 8.19198312236287 | 0.0683703980826916 | 119.817689410773 |
| Winsorized Mean ( 4 / 79 ) | 8.19367088607595 | 0.0681563834955364 | 120.218686289488 |
| Winsorized Mean ( 5 / 79 ) | 8.19367088607595 | 0.0676561377126864 | 121.107576682426 |
| Winsorized Mean ( 6 / 79 ) | 8.19367088607595 | 0.0676561377126864 | 121.107576682426 |
| Winsorized Mean ( 7 / 79 ) | 8.19367088607595 | 0.0676561377126864 | 121.107576682426 |
| Winsorized Mean ( 8 / 79 ) | 8.19029535864979 | 0.0672834515313882 | 121.728228446024 |
| Winsorized Mean ( 9 / 79 ) | 8.19409282700422 | 0.066841435345469 | 122.590018970316 |
| Winsorized Mean ( 10 / 79 ) | 8.19409282700422 | 0.066841435345469 | 122.590018970316 |
| Winsorized Mean ( 11 / 79 ) | 8.19409282700422 | 0.066841435345469 | 122.590018970316 |
| Winsorized Mean ( 12 / 79 ) | 8.19409282700422 | 0.0657410529230958 | 124.641946891081 |
| Winsorized Mean ( 13 / 79 ) | 8.19409282700422 | 0.0657410529230958 | 124.641946891081 |
| Winsorized Mean ( 14 / 79 ) | 8.19409282700422 | 0.0657410529230958 | 124.641946891081 |
| Winsorized Mean ( 15 / 79 ) | 8.19409282700422 | 0.0657410529230958 | 124.641946891081 |
| Winsorized Mean ( 16 / 79 ) | 8.20084388185654 | 0.0650202317552252 | 126.127570764887 |
| Winsorized Mean ( 17 / 79 ) | 8.20084388185654 | 0.0650202317552252 | 126.127570764887 |
| Winsorized Mean ( 18 / 79 ) | 8.19324894514768 | 0.0642469955258825 | 127.527347825113 |
| Winsorized Mean ( 19 / 79 ) | 8.19324894514768 | 0.0642469955258825 | 127.527347825113 |
| Winsorized Mean ( 20 / 79 ) | 8.20168776371308 | 0.0633798753378569 | 129.405236599041 |
| Winsorized Mean ( 21 / 79 ) | 8.20168776371308 | 0.0633798753378569 | 129.405236599041 |
| Winsorized Mean ( 22 / 79 ) | 8.20168776371308 | 0.0633798753378569 | 129.405236599041 |
| Winsorized Mean ( 23 / 79 ) | 8.20168776371308 | 0.0614695428667918 | 133.426854686176 |
| Winsorized Mean ( 24 / 79 ) | 8.20168776371308 | 0.0614695428667918 | 133.426854686176 |
| Winsorized Mean ( 25 / 79 ) | 8.20168776371308 | 0.0614695428667918 | 133.426854686176 |
| Winsorized Mean ( 26 / 79 ) | 8.20168776371308 | 0.0614695428667918 | 133.426854686176 |
| Winsorized Mean ( 27 / 79 ) | 8.20168776371308 | 0.0614695428667918 | 133.426854686176 |
| Winsorized Mean ( 28 / 79 ) | 8.20168776371308 | 0.0614695428667918 | 133.426854686176 |
| Winsorized Mean ( 29 / 79 ) | 8.18945147679325 | 0.0603162819102502 | 135.775137615064 |
| Winsorized Mean ( 30 / 79 ) | 8.20210970464135 | 0.0591074257960222 | 138.766146455888 |
| Winsorized Mean ( 31 / 79 ) | 8.20210970464135 | 0.0591074257960222 | 138.766146455888 |
| Winsorized Mean ( 32 / 79 ) | 8.20210970464135 | 0.0591074257960222 | 138.766146455888 |
| Winsorized Mean ( 33 / 79 ) | 8.20210970464135 | 0.0591074257960222 | 138.766146455888 |
| Winsorized Mean ( 34 / 79 ) | 8.20210970464135 | 0.0591074257960222 | 138.766146455888 |
| Winsorized Mean ( 35 / 79 ) | 8.20210970464135 | 0.0591074257960222 | 138.766146455888 |
| Winsorized Mean ( 36 / 79 ) | 8.20210970464135 | 0.0563193433214726 | 145.635748233488 |
| Winsorized Mean ( 37 / 79 ) | 8.20210970464135 | 0.0563193433214726 | 145.635748233488 |
| Winsorized Mean ( 38 / 79 ) | 8.20210970464135 | 0.0563193433214726 | 145.635748233488 |
| Winsorized Mean ( 39 / 79 ) | 8.20210970464135 | 0.0563193433214726 | 145.635748233488 |
| Winsorized Mean ( 40 / 79 ) | 8.20210970464135 | 0.0563193433214726 | 145.635748233488 |
| Winsorized Mean ( 41 / 79 ) | 8.21940928270042 | 0.0547877124606016 | 150.02285938861 |
| Winsorized Mean ( 42 / 79 ) | 8.20168776371308 | 0.0532030818644577 | 154.158132880498 |
| Winsorized Mean ( 43 / 79 ) | 8.20168776371308 | 0.0532030818644577 | 154.158132880498 |
| Winsorized Mean ( 44 / 79 ) | 8.20168776371308 | 0.0532030818644577 | 154.158132880498 |
| Winsorized Mean ( 45 / 79 ) | 8.20168776371308 | 0.0532030818644577 | 154.158132880498 |
| Winsorized Mean ( 46 / 79 ) | 8.2210970464135 | 0.0515362427433055 | 159.52069085365 |
| Winsorized Mean ( 47 / 79 ) | 8.2210970464135 | 0.0515362427433055 | 159.52069085365 |
| Winsorized Mean ( 48 / 79 ) | 8.2210970464135 | 0.0515362427433055 | 159.52069085365 |
| Winsorized Mean ( 49 / 79 ) | 8.20042194092827 | 0.0497382762105256 | 164.871454455289 |
| Winsorized Mean ( 50 / 79 ) | 8.20042194092827 | 0.0497382762105256 | 164.871454455289 |
| Winsorized Mean ( 51 / 79 ) | 8.22194092827004 | 0.0479438311086543 | 171.491112373494 |
| Winsorized Mean ( 52 / 79 ) | 8.22194092827004 | 0.0479438311086543 | 171.491112373494 |
| Winsorized Mean ( 53 / 79 ) | 8.22194092827004 | 0.0479438311086543 | 171.491112373494 |
| Winsorized Mean ( 54 / 79 ) | 8.22194092827004 | 0.0479438311086543 | 171.491112373494 |
| Winsorized Mean ( 55 / 79 ) | 8.22194092827004 | 0.0479438311086543 | 171.491112373494 |
| Winsorized Mean ( 56 / 79 ) | 8.22194092827004 | 0.0440246892897196 | 186.757500414432 |
| Winsorized Mean ( 57 / 79 ) | 8.22194092827004 | 0.0440246892897196 | 186.757500414432 |
| Winsorized Mean ( 58 / 79 ) | 8.22194092827004 | 0.0440246892897196 | 186.757500414432 |
| Winsorized Mean ( 59 / 79 ) | 8.22194092827004 | 0.0440246892897196 | 186.757500414432 |
| Winsorized Mean ( 60 / 79 ) | 8.22194092827004 | 0.0399361902478769 | 205.876947130858 |
| Winsorized Mean ( 61 / 79 ) | 8.22194092827004 | 0.0399361902478769 | 205.876947130858 |
| Winsorized Mean ( 62 / 79 ) | 8.22194092827004 | 0.0399361902478769 | 205.876947130858 |
| Winsorized Mean ( 63 / 79 ) | 8.22194092827004 | 0.0399361902478769 | 205.876947130858 |
| Winsorized Mean ( 64 / 79 ) | 8.22194092827004 | 0.0399361902478769 | 205.876947130858 |
| Winsorized Mean ( 65 / 79 ) | 8.19451476793249 | 0.0377159493334794 | 217.269216677477 |
| Winsorized Mean ( 66 / 79 ) | 8.19451476793249 | 0.0377159493334794 | 217.269216677477 |
| Winsorized Mean ( 67 / 79 ) | 8.19451476793249 | 0.0377159493334794 | 217.269216677477 |
| Winsorized Mean ( 68 / 79 ) | 8.19451476793249 | 0.0332625121567946 | 246.358865779732 |
| Winsorized Mean ( 69 / 79 ) | 8.19451476793249 | 0.0332625121567946 | 246.358865779732 |
| Winsorized Mean ( 70 / 79 ) | 8.19451476793249 | 0.0332625121567946 | 246.358865779732 |
| Winsorized Mean ( 71 / 79 ) | 8.19451476793249 | 0.0332625121567946 | 246.358865779732 |
| Winsorized Mean ( 72 / 79 ) | 8.16413502109705 | 0.03097533342563 | 263.568914946426 |
| Winsorized Mean ( 73 / 79 ) | 8.16413502109705 | 0.03097533342563 | 263.568914946426 |
| Winsorized Mean ( 74 / 79 ) | 8.16413502109705 | 0.03097533342563 | 263.568914946426 |
| Winsorized Mean ( 75 / 79 ) | 8.16413502109705 | 0.03097533342563 | 263.568914946426 |
| Winsorized Mean ( 76 / 79 ) | 8.16413502109705 | 0.03097533342563 | 263.568914946426 |
| Winsorized Mean ( 77 / 79 ) | 8.19662447257384 | 0.0285208612453358 | 287.390496453339 |
| Winsorized Mean ( 78 / 79 ) | 8.19662447257384 | 0.0285208612453358 | 287.390496453339 |
| Winsorized Mean ( 79 / 79 ) | 8.19662447257384 | 0.0285208612453358 | 287.390496453339 |
| Trimmed Mean ( 1 / 79 ) | 8.19282700421941 | 0.0679928680528635 | 120.495387808168 |
| Trimmed Mean ( 2 / 79 ) | 8.1936170212766 | 0.0674340468388052 | 121.505640034665 |
| Trimmed Mean ( 3 / 79 ) | 8.19437229437229 | 0.066845612085783 | 122.586539919127 |
| Trimmed Mean ( 4 / 79 ) | 8.19437229437229 | 0.0662822243119035 | 123.628504918787 |
| Trimmed Mean ( 5 / 79 ) | 8.19559471365639 | 0.0657490872354482 | 124.649558773461 |
| Trimmed Mean ( 6 / 79 ) | 8.196 | 0.0653024708446219 | 125.508267818858 |
| Trimmed Mean ( 7 / 79 ) | 8.19641255605381 | 0.0648310799065131 | 126.427210033723 |
| Trimmed Mean ( 8 / 79 ) | 8.19641255605381 | 0.0643333984331454 | 127.405247595795 |
| Trimmed Mean ( 9 / 79 ) | 8.19771689497717 | 0.0638652850248024 | 128.359513181434 |
| Trimmed Mean ( 10 / 79 ) | 8.19815668202765 | 0.0634327080799886 | 129.241789136446 |
| Trimmed Mean ( 11 / 79 ) | 8.19860465116279 | 0.0629751370394797 | 130.187960464826 |
| Trimmed Mean ( 12 / 79 ) | 8.19906103286385 | 0.062490997173645 | 131.203875817199 |
| Trimmed Mean ( 13 / 79 ) | 8.19952606635071 | 0.0621022577864635 | 132.032656438104 |
| Trimmed Mean ( 14 / 79 ) | 8.2 | 0.061690096581172 | 132.92246980373 |
| Trimmed Mean ( 15 / 79 ) | 8.20048309178744 | 0.0612530291443141 | 133.878817200482 |
| Trimmed Mean ( 16 / 79 ) | 8.20048309178744 | 0.0607894432076897 | 134.899789487628 |
| Trimmed Mean ( 17 / 79 ) | 8.20098522167488 | 0.0603643287983964 | 135.858136500852 |
| Trimmed Mean ( 18 / 79 ) | 8.20099502487562 | 0.059912830749627 | 136.882115604706 |
| Trimmed Mean ( 19 / 79 ) | 8.20150753768844 | 0.0594992785458113 | 137.842134192832 |
| Trimmed Mean ( 20 / 79 ) | 8.20203045685279 | 0.0590594088470865 | 138.877625377001 |
| Trimmed Mean ( 21 / 79 ) | 8.20205128205128 | 0.0586614230634874 | 139.820189380242 |
| Trimmed Mean ( 22 / 79 ) | 8.2020725388601 | 0.0582374545873058 | 140.838444897417 |
| Trimmed Mean ( 23 / 79 ) | 8.2020942408377 | 0.0577857146768362 | 141.939825209526 |
| Trimmed Mean ( 24 / 79 ) | 8.2021164021164 | 0.0574464969056482 | 142.778356277978 |
| Trimmed Mean ( 25 / 79 ) | 8.20213903743315 | 0.0570837755042925 | 143.685994224688 |
| Trimmed Mean ( 26 / 79 ) | 8.20216216216216 | 0.0566959273379301 | 144.669336004931 |
| Trimmed Mean ( 27 / 79 ) | 8.20218579234973 | 0.0562811796150229 | 145.735854302534 |
| Trimmed Mean ( 28 / 79 ) | 8.20220994475138 | 0.055837591168866 | 146.894050639577 |
| Trimmed Mean ( 29 / 79 ) | 8.20223463687151 | 0.0553630306300509 | 148.153642304751 |
| Trimmed Mean ( 30 / 79 ) | 8.20282485875706 | 0.0549339460623055 | 149.321602519752 |
| Trimmed Mean ( 31 / 79 ) | 8.20285714285714 | 0.0545555475133841 | 150.357892400305 |
| Trimmed Mean ( 32 / 79 ) | 8.20285714285714 | 0.0541491752505029 | 151.486280352552 |
| Trimmed Mean ( 33 / 79 ) | 8.20292397660819 | 0.0537127045229089 | 152.718505788692 |
| Trimmed Mean ( 34 / 79 ) | 8.20295857988166 | 0.0532437921797437 | 154.064131123298 |
| Trimmed Mean ( 35 / 79 ) | 8.20299401197605 | 0.0527398458700817 | 155.536935625166 |
| Trimmed Mean ( 36 / 79 ) | 8.2030303030303 | 0.0521979874221891 | 157.152233412418 |
| Trimmed Mean ( 37 / 79 ) | 8.20306748466258 | 0.0517981104107997 | 158.366153120371 |
| Trimmed Mean ( 38 / 79 ) | 8.20310559006211 | 0.0513665910608396 | 159.697293915148 |
| Trimmed Mean ( 39 / 79 ) | 8.20314465408805 | 0.0509008206850513 | 161.159379037226 |
| Trimmed Mean ( 40 / 79 ) | 8.2031847133758 | 0.0503978972786637 | 162.768392260855 |
| Trimmed Mean ( 41 / 79 ) | 8.20322580645161 | 0.0498545799405256 | 164.543073399429 |
| Trimmed Mean ( 42 / 79 ) | 8.20261437908497 | 0.0493677580539714 | 166.153268903106 |
| Trimmed Mean ( 43 / 79 ) | 8.20264900662252 | 0.0489442356911267 | 167.591727417854 |
| Trimmed Mean ( 44 / 79 ) | 8.20268456375839 | 0.0484846211480447 | 169.181162387801 |
| Trimmed Mean ( 45 / 79 ) | 8.20272108843537 | 0.0479856622327878 | 170.941083372829 |
| Trimmed Mean ( 46 / 79 ) | 8.20275862068966 | 0.0474437035576533 | 172.894567784358 |
| Trimmed Mean ( 47 / 79 ) | 8.2020979020979 | 0.0469651040685102 | 174.642387465662 |
| Trimmed Mean ( 48 / 79 ) | 8.20141843971631 | 0.0464438065709218 | 176.587989771949 |
| Trimmed Mean ( 49 / 79 ) | 8.20071942446043 | 0.0458756303202525 | 178.759820131345 |
| Trimmed Mean ( 50 / 79 ) | 8.2007299270073 | 0.0453801313665766 | 180.711903647051 |
| Trimmed Mean ( 51 / 79 ) | 8.20074074074074 | 0.0448385876851759 | 182.894715558849 |
| Trimmed Mean ( 52 / 79 ) | 8.2 | 0.0443684319987921 | 184.816087262746 |
| Trimmed Mean ( 53 / 79 ) | 8.19923664122137 | 0.0438528498576928 | 186.971580360884 |
| Trimmed Mean ( 54 / 79 ) | 8.1984496124031 | 0.0432870648204563 | 189.397217076468 |
| Trimmed Mean ( 55 / 79 ) | 8.19763779527559 | 0.0426655969665942 | 192.136952910657 |
| Trimmed Mean ( 56 / 79 ) | 8.1968 | 0.0419821160080829 | 195.245041922657 |
| Trimmed Mean ( 57 / 79 ) | 8.19593495934959 | 0.0415191718204998 | 197.401214908215 |
| Trimmed Mean ( 58 / 79 ) | 8.19504132231405 | 0.0410074783153216 | 199.842605763255 |
| Trimmed Mean ( 59 / 79 ) | 8.19411764705882 | 0.0404414839884205 | 202.616641105579 |
| Trimmed Mean ( 60 / 79 ) | 8.19316239316239 | 0.0398147511071867 | 205.782082402205 |
| Trimmed Mean ( 61 / 79 ) | 8.19217391304348 | 0.03943049627821 | 207.762384100923 |
| Trimmed Mean ( 62 / 79 ) | 8.19115044247788 | 0.0390013922837296 | 210.022000827263 |
| Trimmed Mean ( 63 / 79 ) | 8.19115044247788 | 0.0385221455811059 | 212.634844682572 |
| Trimmed Mean ( 64 / 79 ) | 8.19009009009009 | 0.0379866083656176 | 215.60466813097 |
| Trimmed Mean ( 65 / 79 ) | 8.18785046728972 | 0.0373875857037766 | 218.999176147997 |
| Trimmed Mean ( 66 / 79 ) | 8.18761904761905 | 0.0369063570493028 | 221.848475499256 |
| Trimmed Mean ( 67 / 79 ) | 8.1873786407767 | 0.0363654173390314 | 225.141885886982 |
| Trimmed Mean ( 68 / 79 ) | 8.18712871287129 | 0.0357566961488122 | 228.967706602369 |
| Trimmed Mean ( 69 / 79 ) | 8.18686868686869 | 0.0354505838800511 | 230.937485107985 |
| Trimmed Mean ( 70 / 79 ) | 8.18659793814433 | 0.0351001532797934 | 233.235389967861 |
| Trimmed Mean ( 71 / 79 ) | 8.18631578947368 | 0.0346994946671928 | 235.920317226221 |
| Trimmed Mean ( 72 / 79 ) | 8.18602150537634 | 0.0342416473180732 | 239.066229183888 |
| Trimmed Mean ( 73 / 79 ) | 8.18681318681319 | 0.0339218663818028 | 241.343241396793 |
| Trimmed Mean ( 74 / 79 ) | 8.1876404494382 | 0.0335513047869802 | 244.033443748974 |
| Trimmed Mean ( 75 / 79 ) | 8.18850574712644 | 0.0331225070622379 | 247.218778812245 |
| Trimmed Mean ( 76 / 79 ) | 8.18941176470588 | 0.0326265486839253 | 251.004537563628 |
| Trimmed Mean ( 77 / 79 ) | 8.19036144578313 | 0.0320526334807486 | 255.528502851487 |
| Trimmed Mean ( 78 / 79 ) | 8.19012345679012 | 0.0316522841739878 | 258.752999049619 |
| Trimmed Mean ( 79 / 79 ) | 8.18987341772152 | 0.0311832506446775 | 262.63693644522 |
| Median | 8.1 | ||
| Midrange | 8.1 | ||
| Midmean - Weighted Average at Xnp | 8.16694214876033 | ||
| Midmean - Weighted Average at X(n+1)p | 8.1968 | ||
| Midmean - Empirical Distribution Function | 8.1968 | ||
| Midmean - Empirical Distribution Function - Averaging | 8.1968 | ||
| Midmean - Empirical Distribution Function - Interpolation | 8.1968 | ||
| Midmean - Closest Observation | 8.1968 | ||
| Midmean - True Basic - Statistics Graphics Toolkit | 8.1968 | ||
| Midmean - MS Excel (old versions) | 8.1968 | ||
| Number of observations | 237 | ||
