Central Tendency - Ungrouped Data | |||
Measure | Value | S.E. | Value/S.E. |
Arithmetic Mean | 89.6791443850267 | 2.9130971544779 | 30.7848106772462 |
Geometric Mean | 0 | ||
Harmonic Mean | 0 | ||
Quadratic Mean | 98.0855241790344 | ||
Winsorized Mean ( 1 / 62 ) | 89.4598930481283 | 2.84888837045699 | 31.4016842414145 |
Winsorized Mean ( 2 / 62 ) | 89.716577540107 | 2.79480519471538 | 32.101191778858 |
Winsorized Mean ( 3 / 62 ) | 89.620320855615 | 2.75914922680425 | 32.4811430947563 |
Winsorized Mean ( 4 / 62 ) | 89.4919786096257 | 2.70639185934395 | 33.0668961705047 |
Winsorized Mean ( 5 / 62 ) | 88.5561497326203 | 2.50888914989939 | 35.2969559201815 |
Winsorized Mean ( 6 / 62 ) | 88.5561497326203 | 2.49965876820092 | 35.4272954609549 |
Winsorized Mean ( 7 / 62 ) | 88.5561497326203 | 2.45776327639688 | 36.0311957555347 |
Winsorized Mean ( 8 / 62 ) | 88.3850267379679 | 2.41869859045162 | 36.5423898152868 |
Winsorized Mean ( 9 / 62 ) | 88.288770053476 | 2.4037471371792 | 36.7296412704552 |
Winsorized Mean ( 10 / 62 ) | 88.1818181818182 | 2.37371404697341 | 37.1493012371284 |
Winsorized Mean ( 11 / 62 ) | 88.0053475935829 | 2.33310123121145 | 37.7203296694874 |
Winsorized Mean ( 12 / 62 ) | 87.8770053475936 | 2.29927106625474 | 38.2195064502488 |
Winsorized Mean ( 13 / 62 ) | 87.5989304812834 | 2.24531226532652 | 39.0141415223349 |
Winsorized Mean ( 14 / 62 ) | 87.5989304812834 | 2.22785565113952 | 39.3198412278091 |
Winsorized Mean ( 15 / 62 ) | 87.5989304812834 | 2.22785565113952 | 39.3198412278091 |
Winsorized Mean ( 16 / 62 ) | 87.427807486631 | 2.20607427598114 | 39.6304913386237 |
Winsorized Mean ( 17 / 62 ) | 87.336898395722 | 2.17413517585651 | 40.1708685667695 |
Winsorized Mean ( 18 / 62 ) | 87.144385026738 | 2.15079755553613 | 40.5172419888749 |
Winsorized Mean ( 19 / 62 ) | 87.144385026738 | 2.15079755553613 | 40.5172419888749 |
Winsorized Mean ( 20 / 62 ) | 87.0374331550802 | 2.13808529208497 | 40.7081202407061 |
Winsorized Mean ( 21 / 62 ) | 86.9251336898396 | 2.1003308229009 | 41.3864010098094 |
Winsorized Mean ( 22 / 62 ) | 86.6898395721925 | 2.0483770978117 | 42.3212306292645 |
Winsorized Mean ( 23 / 62 ) | 86.6898395721925 | 2.0483770978117 | 42.3212306292645 |
Winsorized Mean ( 24 / 62 ) | 87.0748663101604 | 2.01024453369836 | 43.3155593016158 |
Winsorized Mean ( 25 / 62 ) | 87.0748663101604 | 2.01024453369836 | 43.3155593016158 |
Winsorized Mean ( 26 / 62 ) | 86.9358288770053 | 1.96606854049113 | 44.2181068902555 |
Winsorized Mean ( 27 / 62 ) | 86.9358288770053 | 1.96606854049113 | 44.2181068902555 |
Winsorized Mean ( 28 / 62 ) | 86.7860962566845 | 1.94977063748332 | 44.5109258434131 |
Winsorized Mean ( 29 / 62 ) | 86.6310160427807 | 1.90180376829009 | 45.552026706031 |
Winsorized Mean ( 30 / 62 ) | 86.6310160427807 | 1.90180376829009 | 45.552026706031 |
Winsorized Mean ( 31 / 62 ) | 86.7967914438503 | 1.88617410478874 | 46.0173804865018 |
Winsorized Mean ( 32 / 62 ) | 86.6256684491979 | 1.86814352555099 | 46.3699214029332 |
Winsorized Mean ( 33 / 62 ) | 86.4491978609626 | 1.81509926516686 | 47.6278072059136 |
Winsorized Mean ( 34 / 62 ) | 85.903743315508 | 1.760437281503 | 48.7968212319195 |
Winsorized Mean ( 35 / 62 ) | 85.903743315508 | 1.760437281503 | 48.7968212319195 |
Winsorized Mean ( 36 / 62 ) | 85.903743315508 | 1.760437281503 | 48.7968212319195 |
Winsorized Mean ( 37 / 62 ) | 86.1016042780749 | 1.74190810547814 | 49.4294756464439 |
Winsorized Mean ( 38 / 62 ) | 86.1016042780749 | 1.70321945603088 | 50.5522667517684 |
Winsorized Mean ( 39 / 62 ) | 86.1016042780749 | 1.70321945603088 | 50.5522667517684 |
Winsorized Mean ( 40 / 62 ) | 86.1016042780749 | 1.66290533122321 | 51.7778148048512 |
Winsorized Mean ( 41 / 62 ) | 86.1016042780749 | 1.66290533122321 | 51.7778148048512 |
Winsorized Mean ( 42 / 62 ) | 86.3262032085562 | 1.60096268696359 | 53.9214335921118 |
Winsorized Mean ( 43 / 62 ) | 86.3262032085562 | 1.60096268696359 | 53.9214335921118 |
Winsorized Mean ( 44 / 62 ) | 85.855614973262 | 1.51337264126062 | 56.7313116627676 |
Winsorized Mean ( 45 / 62 ) | 86.096256684492 | 1.49230163138642 | 57.693602200585 |
Winsorized Mean ( 46 / 62 ) | 86.3422459893048 | 1.47113073563446 | 58.691076121163 |
Winsorized Mean ( 47 / 62 ) | 85.8395721925134 | 1.42463667257126 | 60.2536589470113 |
Winsorized Mean ( 48 / 62 ) | 85.8395721925134 | 1.42463667257126 | 60.2536589470113 |
Winsorized Mean ( 49 / 62 ) | 86.1016042780749 | 1.35627723556139 | 63.4837789948128 |
Winsorized Mean ( 50 / 62 ) | 86.1016042780749 | 1.35627723556139 | 63.4837789948128 |
Winsorized Mean ( 51 / 62 ) | 85.8288770053476 | 1.33169200696255 | 64.4509965942608 |
Winsorized Mean ( 52 / 62 ) | 85.8288770053476 | 1.33169200696255 | 64.4509965942608 |
Winsorized Mean ( 53 / 62 ) | 85.8288770053476 | 1.33169200696255 | 64.4509965942608 |
Winsorized Mean ( 54 / 62 ) | 86.1176470588235 | 1.30760583140065 | 65.8590264671567 |
Winsorized Mean ( 55 / 62 ) | 86.1176470588235 | 1.30760583140065 | 65.8590264671567 |
Winsorized Mean ( 56 / 62 ) | 86.1176470588235 | 1.25610935030456 | 68.5590367096171 |
Winsorized Mean ( 57 / 62 ) | 85.812834224599 | 1.22902678909304 | 69.8217768612875 |
Winsorized Mean ( 58 / 62 ) | 85.812834224599 | 1.22902678909304 | 69.8217768612875 |
Winsorized Mean ( 59 / 62 ) | 85.4973262032086 | 1.20132501003905 | 71.1691885948746 |
Winsorized Mean ( 60 / 62 ) | 85.4973262032086 | 1.09305875078572 | 78.218417941168 |
Winsorized Mean ( 61 / 62 ) | 85.1711229946524 | 1.06516074926501 | 79.9608162931489 |
Winsorized Mean ( 62 / 62 ) | 85.5026737967914 | 1.03831974408284 | 82.3471520059716 |
Trimmed Mean ( 1 / 62 ) | 89.6791443850267 | 2.74042610032766 | 32.7245257131014 |
Trimmed Mean ( 2 / 62 ) | 89.2054054054054 | 2.62188873390814 | 34.0233375473708 |
Trimmed Mean ( 3 / 62 ) | 88.5469613259668 | 2.52372931655742 | 35.0857600872793 |
Trimmed Mean ( 4 / 62 ) | 88.5469613259668 | 2.43113443494843 | 36.4220752472888 |
Trimmed Mean ( 5 / 62 ) | 87.8248587570621 | 2.34703838818295 | 37.4194385567997 |
Trimmed Mean ( 6 / 62 ) | 87.6685714285714 | 2.30735795384839 | 37.9952192863491 |
Trimmed Mean ( 7 / 62 ) | 87.6685714285714 | 2.26667794542171 | 38.6771184700705 |
Trimmed Mean ( 8 / 62 ) | 87.5086705202312 | 2.23085165689296 | 39.2265753080641 |
Trimmed Mean ( 9 / 62 ) | 87.2011834319527 | 2.19900621592495 | 39.6548144341074 |
Trimmed Mean ( 10 / 62 ) | 87.065868263473 | 2.16709022574074 | 40.1763928558687 |
Trimmed Mean ( 11 / 62 ) | 86.939393939394 | 2.13707457257077 | 40.6814975271599 |
Trimmed Mean ( 12 / 62 ) | 86.8282208588957 | 2.11022467473021 | 41.1464342629756 |
Trimmed Mean ( 13 / 62 ) | 86.7267080745342 | 2.08555345101048 | 41.584505078263 |
Trimmed Mean ( 14 / 62 ) | 86.7267080745342 | 2.06535095740299 | 41.9912692144032 |
Trimmed Mean ( 15 / 62 ) | 86.5668789808917 | 2.04546306442175 | 42.3214090181403 |
Trimmed Mean ( 16 / 62 ) | 86.5668789808917 | 2.02395281283448 | 42.771194284741 |
Trimmed Mean ( 17 / 62 ) | 86.4117647058823 | 2.00297614416755 | 43.1416844167137 |
Trimmed Mean ( 18 / 62 ) | 86.3443708609272 | 1.98346467795819 | 43.5320940274123 |
Trimmed Mean ( 19 / 62 ) | 86.2885906040269 | 1.96459445009596 | 43.9218336383939 |
Trimmed Mean ( 20 / 62 ) | 86.2312925170068 | 1.94409969540752 | 44.3553860538675 |
Trimmed Mean ( 21 / 62 ) | 86.1793103448276 | 1.92303213257188 | 44.8142851516322 |
Trimmed Mean ( 22 / 62 ) | 86.1328671328671 | 1.9035711063635 | 45.2480429257049 |
Trimmed Mean ( 23 / 62 ) | 86.0992907801418 | 1.88698697784675 | 45.6279199543762 |
Trimmed Mean ( 24 / 62 ) | 86.0647482014388 | 1.86886893916647 | 46.0517837274477 |
Trimmed Mean ( 25 / 62 ) | 86.007299270073 | 1.8522466239292 | 46.4340429395003 |
Trimmed Mean ( 26 / 62 ) | 85.9481481481481 | 1.83402876960864 | 46.8630315796455 |
Trimmed Mean ( 27 / 62 ) | 85.8947368421053 | 1.81777705319347 | 47.2526246776002 |
Trimmed Mean ( 28 / 62 ) | 85.8947368421053 | 1.79990920348716 | 47.7217054480815 |
Trimmed Mean ( 29 / 62 ) | 85.7906976744186 | 1.78164475833123 | 48.1525271933415 |
Trimmed Mean ( 30 / 62 ) | 85.748031496063 | 1.76549750504273 | 48.5687639043069 |
Trimmed Mean ( 31 / 62 ) | 85.704 | 1.74766291870582 | 49.0392049191416 |
Trimmed Mean ( 32 / 62 ) | 85.704 | 1.72920071456935 | 49.5627831274314 |
Trimmed Mean ( 33 / 62 ) | 85.603305785124 | 1.71030257415389 | 50.0515564197598 |
Trimmed Mean ( 34 / 62 ) | 85.563025210084 | 1.69374456127945 | 50.5170774661853 |
Trimmed Mean ( 35 / 62 ) | 85.5470085470085 | 1.67981093269408 | 50.9265697002034 |
Trimmed Mean ( 36 / 62 ) | 85.5304347826087 | 1.66423873829807 | 51.3931281698661 |
Trimmed Mean ( 37 / 62 ) | 85.5132743362832 | 1.64684289022847 | 51.9255812704878 |
Trimmed Mean ( 38 / 62 ) | 85.4864864864865 | 1.62891888019066 | 52.4805056446277 |
Trimmed Mean ( 39 / 62 ) | 85.4587155963303 | 1.61207915537966 | 53.0114884936924 |
Trimmed Mean ( 40 / 62 ) | 85.429906542056 | 1.59317182512934 | 53.6225316030307 |
Trimmed Mean ( 41 / 62 ) | 85.4 | 1.57537134409474 | 54.2094410439296 |
Trimmed Mean ( 42 / 62 ) | 85.368932038835 | 1.55531245066735 | 54.8886058246401 |
Trimmed Mean ( 43 / 62 ) | 85.3267326732673 | 1.53803970071274 | 55.4775878891333 |
Trimmed Mean ( 44 / 62 ) | 85.2828282828283 | 1.51845924932666 | 56.1640546630711 |
Trimmed Mean ( 45 / 62 ) | 85.2577319587629 | 1.50409509381141 | 56.6837378231971 |
Trimmed Mean ( 46 / 62 ) | 85.221052631579 | 1.48943114623947 | 57.2171817722127 |
Trimmed Mean ( 47 / 62 ) | 85.1720430107527 | 1.47438972850079 | 57.7676589604014 |
Trimmed Mean ( 48 / 62 ) | 85.1428571428571 | 1.46139340306703 | 58.2614215748941 |
Trimmed Mean ( 49 / 62 ) | 85.1123595505618 | 1.44630117168781 | 58.8482960649454 |
Trimmed Mean ( 50 / 62 ) | 85.0689655172414 | 1.43502164327449 | 59.2806149760416 |
Trimmed Mean ( 51 / 62 ) | 85.0689655172414 | 1.42171794830568 | 59.8353320492447 |
Trimmed Mean ( 52 / 62 ) | 84.9879518072289 | 1.40853929626907 | 60.3376505237335 |
Trimmed Mean ( 53 / 62 ) | 84.9506172839506 | 1.39298299185861 | 60.9846766115957 |
Trimmed Mean ( 54 / 62 ) | 84.9113924050633 | 1.37466644898494 | 61.7687239459161 |
Trimmed Mean ( 55 / 62 ) | 84.8571428571429 | 1.35556803257828 | 62.5989554325394 |
Trimmed Mean ( 56 / 62 ) | 84.8571428571429 | 1.33301798072529 | 63.6579131595601 |
Trimmed Mean ( 57 / 62 ) | 84.7397260273973 | 1.31233861764383 | 64.5715403693133 |
Trimmed Mean ( 58 / 62 ) | 84.6901408450704 | 1.29113858777256 | 65.5933775406525 |
Trimmed Mean ( 59 / 62 ) | 84.6376811594203 | 1.26581571920744 | 66.8641413399528 |
Trimmed Mean ( 60 / 62 ) | 84.5970149253731 | 1.23934804746875 | 68.2592876941667 |
Trimmed Mean ( 61 / 62 ) | 84.5538461538462 | 1.22180327976228 | 69.2041407601207 |
Trimmed Mean ( 62 / 62 ) | 84.5238095238095 | 1.20416097652138 | 70.1931146847031 |
Median | 85 | ||
Midrange | 133.5 | ||
Midmean - Weighted Average at Xnp | 84.936170212766 | ||
Midmean - Weighted Average at X(n+1)p | 85.7731958762887 | ||
Midmean - Empirical Distribution Function | 85.7731958762887 | ||
Midmean - Empirical Distribution Function - Averaging | 85.7731958762887 | ||
Midmean - Empirical Distribution Function - Interpolation | 84.936170212766 | ||
Midmean - Closest Observation | 84.936170212766 | ||
Midmean - True Basic - Statistics Graphics Toolkit | 85.7731958762887 | ||
Midmean - MS Excel (old versions) | 85.7731958762887 | ||
Number of observations | 187 |