| Central Tendency - Ungrouped Data | |||
| Measure | Value | S.E. | Value/S.E. |
| Arithmetic Mean | 8.055 | 0.0742223749848797 | 108.525225737400 |
| Geometric Mean | 7.97220744090017 | ||
| Harmonic Mean | 7.88882560096547 | ||
| Quadratic Mean | 8.13631775846216 | ||
| Winsorized Mean ( 1 / 80 ) | 8.055 | 0.0742223749848797 | 108.525225737400 |
| Winsorized Mean ( 2 / 80 ) | 8.05583333333333 | 0.0741234026728595 | 108.681375150671 |
| Winsorized Mean ( 3 / 80 ) | 8.05458333333333 | 0.0739754471232207 | 108.881847242056 |
| Winsorized Mean ( 4 / 80 ) | 8.05625 | 0.073786158783565 | 109.183756585448 |
| Winsorized Mean ( 5 / 80 ) | 8.05416666666667 | 0.0735501225378793 | 109.505822543241 |
| Winsorized Mean ( 6 / 80 ) | 8.05416666666667 | 0.0735501225378793 | 109.505822543241 |
| Winsorized Mean ( 7 / 80 ) | 8.05416666666667 | 0.0735501225378793 | 109.505822543241 |
| Winsorized Mean ( 8 / 80 ) | 8.05083333333333 | 0.0731894231091089 | 109.999956159394 |
| Winsorized Mean ( 9 / 80 ) | 8.05458333333333 | 0.0727803767133839 | 110.669712044128 |
| Winsorized Mean ( 10 / 80 ) | 8.05875 | 0.0723463148905504 | 111.391299089549 |
| Winsorized Mean ( 11 / 80 ) | 8.05875 | 0.0723463148905504 | 111.391299089549 |
| Winsorized Mean ( 12 / 80 ) | 8.05375 | 0.0718257403511265 | 112.129021721580 |
| Winsorized Mean ( 13 / 80 ) | 8.05375 | 0.0718257403511265 | 112.129021721580 |
| Winsorized Mean ( 14 / 80 ) | 8.05375 | 0.0718257403511265 | 112.129021721580 |
| Winsorized Mean ( 15 / 80 ) | 8.05375 | 0.0718257403511265 | 112.129021721580 |
| Winsorized Mean ( 16 / 80 ) | 8.05375 | 0.0718257403511265 | 112.129021721580 |
| Winsorized Mean ( 17 / 80 ) | 8.06083333333333 | 0.0711177733070206 | 113.344849796325 |
| Winsorized Mean ( 18 / 80 ) | 8.05333333333333 | 0.070366808085551 | 114.447898838074 |
| Winsorized Mean ( 19 / 80 ) | 8.05333333333333 | 0.070366808085551 | 114.447898838074 |
| Winsorized Mean ( 20 / 80 ) | 8.05333333333333 | 0.070366808085551 | 114.447898838074 |
| Winsorized Mean ( 21 / 80 ) | 8.05333333333333 | 0.070366808085551 | 114.447898838074 |
| Winsorized Mean ( 22 / 80 ) | 8.0625 | 0.0694848673611001 | 116.032458666153 |
| Winsorized Mean ( 23 / 80 ) | 8.05291666666667 | 0.0685598464929656 | 117.458207370591 |
| Winsorized Mean ( 24 / 80 ) | 8.05291666666667 | 0.0685598464929656 | 117.458207370591 |
| Winsorized Mean ( 25 / 80 ) | 8.05291666666667 | 0.0685598464929656 | 117.458207370591 |
| Winsorized Mean ( 26 / 80 ) | 8.05291666666667 | 0.0685598464929656 | 117.458207370591 |
| Winsorized Mean ( 27 / 80 ) | 8.06416666666667 | 0.0675161834689914 | 119.440499334065 |
| Winsorized Mean ( 28 / 80 ) | 8.06416666666667 | 0.0675161834689914 | 119.440499334065 |
| Winsorized Mean ( 29 / 80 ) | 8.05208333333333 | 0.0663896298799899 | 121.285257168760 |
| Winsorized Mean ( 30 / 80 ) | 8.05208333333333 | 0.0663896298799899 | 121.285257168760 |
| Winsorized Mean ( 31 / 80 ) | 8.05208333333333 | 0.0663896298799899 | 121.285257168760 |
| Winsorized Mean ( 32 / 80 ) | 8.06541666666667 | 0.0651950937562312 | 123.712018834175 |
| Winsorized Mean ( 33 / 80 ) | 8.06541666666667 | 0.0651950937562312 | 123.712018834175 |
| Winsorized Mean ( 34 / 80 ) | 8.06541666666667 | 0.0651950937562312 | 123.712018834175 |
| Winsorized Mean ( 35 / 80 ) | 8.06541666666667 | 0.0651950937562312 | 123.712018834175 |
| Winsorized Mean ( 36 / 80 ) | 8.06541666666667 | 0.0625418908891677 | 128.960230527082 |
| Winsorized Mean ( 37 / 80 ) | 8.06541666666667 | 0.0625418908891677 | 128.960230527082 |
| Winsorized Mean ( 38 / 80 ) | 8.06541666666667 | 0.0625418908891677 | 128.960230527082 |
| Winsorized Mean ( 39 / 80 ) | 8.06541666666667 | 0.0625418908891677 | 128.960230527082 |
| Winsorized Mean ( 40 / 80 ) | 8.06541666666667 | 0.0625418908891677 | 128.960230527082 |
| Winsorized Mean ( 41 / 80 ) | 8.06541666666667 | 0.0625418908891677 | 128.960230527082 |
| Winsorized Mean ( 42 / 80 ) | 8.04791666666667 | 0.0610089160455465 | 131.913778973855 |
| Winsorized Mean ( 43 / 80 ) | 8.04791666666667 | 0.0610089160455465 | 131.913778973855 |
| Winsorized Mean ( 44 / 80 ) | 8.04791666666667 | 0.0610089160455465 | 131.913778973855 |
| Winsorized Mean ( 45 / 80 ) | 8.04791666666667 | 0.0610089160455465 | 131.913778973855 |
| Winsorized Mean ( 46 / 80 ) | 8.04791666666667 | 0.0610089160455465 | 131.913778973855 |
| Winsorized Mean ( 47 / 80 ) | 8.04791666666667 | 0.0610089160455465 | 131.913778973855 |
| Winsorized Mean ( 48 / 80 ) | 8.04791666666667 | 0.0610089160455465 | 131.913778973855 |
| Winsorized Mean ( 49 / 80 ) | 8.0275 | 0.0592871560784601 | 135.400321603831 |
| Winsorized Mean ( 50 / 80 ) | 8.04833333333333 | 0.0575140716111009 | 139.936768652976 |
| Winsorized Mean ( 51 / 80 ) | 8.04833333333333 | 0.0575140716111009 | 139.936768652976 |
| Winsorized Mean ( 52 / 80 ) | 8.04833333333333 | 0.0575140716111009 | 139.936768652976 |
| Winsorized Mean ( 53 / 80 ) | 8.04833333333333 | 0.0575140716111009 | 139.936768652976 |
| Winsorized Mean ( 54 / 80 ) | 8.07083333333333 | 0.0556682231553164 | 144.980976145321 |
| Winsorized Mean ( 55 / 80 ) | 8.07083333333333 | 0.0556682231553164 | 144.980976145321 |
| Winsorized Mean ( 56 / 80 ) | 8.0475 | 0.0537211049120428 | 149.801460956101 |
| Winsorized Mean ( 57 / 80 ) | 8.0475 | 0.0537211049120428 | 149.801460956101 |
| Winsorized Mean ( 58 / 80 ) | 8.0475 | 0.0537211049120428 | 149.801460956101 |
| Winsorized Mean ( 59 / 80 ) | 8.0475 | 0.0537211049120428 | 149.801460956101 |
| Winsorized Mean ( 60 / 80 ) | 8.0475 | 0.0496744106268983 | 162.004941748465 |
| Winsorized Mean ( 61 / 80 ) | 8.0475 | 0.0496744106268983 | 162.004941748465 |
| Winsorized Mean ( 62 / 80 ) | 8.0475 | 0.0496744106268983 | 162.004941748465 |
| Winsorized Mean ( 63 / 80 ) | 8.0475 | 0.0496744106268983 | 162.004941748465 |
| Winsorized Mean ( 64 / 80 ) | 8.07416666666667 | 0.0475845854327247 | 169.680298635405 |
| Winsorized Mean ( 65 / 80 ) | 8.04708333333333 | 0.0454172424566523 | 177.181239944581 |
| Winsorized Mean ( 66 / 80 ) | 8.04708333333333 | 0.0454172424566523 | 177.181239944581 |
| Winsorized Mean ( 67 / 80 ) | 8.04708333333333 | 0.0454172424566523 | 177.181239944581 |
| Winsorized Mean ( 68 / 80 ) | 8.01875 | 0.043231889291857 | 185.482294004449 |
| Winsorized Mean ( 69 / 80 ) | 8.0475 | 0.0409949694161827 | 196.304573819813 |
| Winsorized Mean ( 70 / 80 ) | 8.0475 | 0.0409949694161827 | 196.304573819813 |
| Winsorized Mean ( 71 / 80 ) | 8.01791666666667 | 0.0387687414374684 | 206.813952926459 |
| Winsorized Mean ( 72 / 80 ) | 8.01791666666667 | 0.0387687414374684 | 206.813952926459 |
| Winsorized Mean ( 73 / 80 ) | 8.01791666666667 | 0.0387687414374684 | 206.813952926459 |
| Winsorized Mean ( 74 / 80 ) | 8.01791666666667 | 0.0387687414374684 | 206.813952926459 |
| Winsorized Mean ( 75 / 80 ) | 8.04916666666667 | 0.0363904503517267 | 221.188981968308 |
| Winsorized Mean ( 76 / 80 ) | 8.04916666666667 | 0.0363904503517267 | 221.188981968308 |
| Winsorized Mean ( 77 / 80 ) | 8.04916666666667 | 0.0363904503517267 | 221.188981968308 |
| Winsorized Mean ( 78 / 80 ) | 8.08166666666667 | 0.034013117222466 | 237.604410492804 |
| Winsorized Mean ( 79 / 80 ) | 8.08166666666667 | 0.034013117222466 | 237.604410492804 |
| Winsorized Mean ( 80 / 80 ) | 8.04833333333333 | 0.0315232014058094 | 255.314592884278 |
| Trimmed Mean ( 1 / 80 ) | 8.05504201680672 | 0.0737443735303046 | 109.229241923068 |
| Trimmed Mean ( 2 / 80 ) | 8.05508474576271 | 0.0732413596263654 | 109.980000191900 |
| Trimmed Mean ( 3 / 80 ) | 8.05470085470085 | 0.0727649659594512 | 110.694765653974 |
| Trimmed Mean ( 4 / 80 ) | 8.05474137931034 | 0.0723172713708136 | 111.380604199084 |
| Trimmed Mean ( 5 / 80 ) | 8.05434782608696 | 0.0718983223178073 | 112.024141404647 |
| Trimmed Mean ( 6 / 80 ) | 8.05438596491228 | 0.0715102684054776 | 112.632579131745 |
| Trimmed Mean ( 7 / 80 ) | 8.05442477876106 | 0.0711004351774557 | 113.282355567283 |
| Trimmed Mean ( 8 / 80 ) | 8.05446428571429 | 0.0706675658485146 | 113.976817922102 |
| Trimmed Mean ( 9 / 80 ) | 8.05495495495495 | 0.0702653051577677 | 114.636305028051 |
| Trimmed Mean ( 10 / 80 ) | 8.055 | 0.0698965166414266 | 115.241794399035 |
| Trimmed Mean ( 11 / 80 ) | 8.0545871559633 | 0.0695608970939569 | 115.791881537753 |
| Trimmed Mean ( 12 / 80 ) | 8.05416666666667 | 0.0692049487782522 | 116.381368801731 |
| Trimmed Mean ( 13 / 80 ) | 8.05420560747664 | 0.0688846968815687 | 116.923002816198 |
| Trimmed Mean ( 14 / 80 ) | 8.05424528301887 | 0.0685444437445392 | 117.503984904109 |
| Trimmed Mean ( 15 / 80 ) | 8.05428571428571 | 0.0681829964419885 | 118.127482430879 |
| Trimmed Mean ( 16 / 80 ) | 8.05432692307692 | 0.0677990686979184 | 118.797014144299 |
| Trimmed Mean ( 17 / 80 ) | 8.05436893203884 | 0.0673912711201271 | 119.516501145700 |
| Trimmed Mean ( 18 / 80 ) | 8.05392156862745 | 0.0670195305255895 | 120.172754202632 |
| Trimmed Mean ( 19 / 80 ) | 8.0539603960396 | 0.066686705466349 | 120.773103720107 |
| Trimmed Mean ( 20 / 80 ) | 8.054 | 0.0663318897513854 | 121.419727829053 |
| Trimmed Mean ( 21 / 80 ) | 8.0540404040404 | 0.0659536877807171 | 122.116604469768 |
| Trimmed Mean ( 22 / 80 ) | 8.05408163265306 | 0.0655505873759672 | 122.868184024937 |
| Trimmed Mean ( 23 / 80 ) | 8.05360824742268 | 0.0651866926933718 | 123.546814766407 |
| Trimmed Mean ( 24 / 80 ) | 8.05364583333333 | 0.0648652465953664 | 124.159642582915 |
| Trimmed Mean ( 25 / 80 ) | 8.05368421052632 | 0.0645211181566349 | 124.822452564674 |
| Trimmed Mean ( 26 / 80 ) | 8.05372340425532 | 0.0641528003746545 | 125.539701419444 |
| Trimmed Mean ( 27 / 80 ) | 8.05376344086022 | 0.0637586551193411 | 126.316394625725 |
| Trimmed Mean ( 28 / 80 ) | 8.05326086956522 | 0.0634073583624774 | 127.008301205794 |
| Trimmed Mean ( 29 / 80 ) | 8.05274725274725 | 0.0630305485523111 | 127.759434713852 |
| Trimmed Mean ( 30 / 80 ) | 8.05277777777778 | 0.062700605708979 | 128.43221667035 |
| Trimmed Mean ( 31 / 80 ) | 8.05280898876405 | 0.0623457521493764 | 129.163715427958 |
| Trimmed Mean ( 32 / 80 ) | 8.05284090909091 | 0.0619642176659749 | 129.959534912563 |
| Trimmed Mean ( 33 / 80 ) | 8.05229885057471 | 0.0616297173474013 | 130.656105482110 |
| Trimmed Mean ( 34 / 80 ) | 8.05174418604651 | 0.0612690148293972 | 131.416250260698 |
| Trimmed Mean ( 35 / 80 ) | 8.05117647058823 | 0.060880179577862 | 132.246266788541 |
| Trimmed Mean ( 36 / 80 ) | 8.05059523809524 | 0.0604610943429616 | 133.153316617605 |
| Trimmed Mean ( 37 / 80 ) | 8.05 | 0.0601734744257092 | 133.779876878119 |
| Trimmed Mean ( 38 / 80 ) | 8.04939024390244 | 0.0598610350878287 | 134.467942829460 |
| Trimmed Mean ( 39 / 80 ) | 8.04876543209877 | 0.0595218896218986 | 135.223620809538 |
| Trimmed Mean ( 40 / 80 ) | 8.048125 | 0.059153966271324 | 136.053852468410 |
| Trimmed Mean ( 41 / 80 ) | 8.04746835443038 | 0.0587549841581037 | 136.966564960267 |
| Trimmed Mean ( 42 / 80 ) | 8.04679487179487 | 0.0583224251064871 | 137.970855243121 |
| Trimmed Mean ( 43 / 80 ) | 8.04675324675325 | 0.0579490513150482 | 138.859102334669 |
| Trimmed Mean ( 44 / 80 ) | 8.0467105263158 | 0.0575429111037774 | 139.838433126953 |
| Trimmed Mean ( 45 / 80 ) | 8.04666666666667 | 0.0571012419041371 | 140.919293492348 |
| Trimmed Mean ( 46 / 80 ) | 8.04662162162162 | 0.0566209721934497 | 142.11380182823 |
| Trimmed Mean ( 47 / 80 ) | 8.04657534246575 | 0.0560986746514494 | 143.436104194270 |
| Trimmed Mean ( 48 / 80 ) | 8.04652777777778 | 0.0555305098458648 | 144.902825493812 |
| Trimmed Mean ( 49 / 80 ) | 8.04647887323944 | 0.0549121579636926 | 146.533648860780 |
| Trimmed Mean ( 50 / 80 ) | 8.04714285714286 | 0.0543526119958714 | 148.054390794579 |
| Trimmed Mean ( 51 / 80 ) | 8.04710144927536 | 0.0538597214612195 | 149.408523307524 |
| Trimmed Mean ( 52 / 80 ) | 8.04705882352941 | 0.0533204761511299 | 150.91873524762 |
| Trimmed Mean ( 53 / 80 ) | 8.04701492537313 | 0.0527303056037261 | 152.607022342091 |
| Trimmed Mean ( 54 / 80 ) | 8.0469696969697 | 0.0520840194054029 | 154.499783020489 |
| Trimmed Mean ( 55 / 80 ) | 8.04615384615385 | 0.0515028045291085 | 156.227489351697 |
| Trimmed Mean ( 56 / 80 ) | 8.0453125 | 0.0508643229500146 | 158.172015931605 |
| Trimmed Mean ( 57 / 80 ) | 8.0452380952381 | 0.0503020355908237 | 159.938618800264 |
| Trimmed Mean ( 58 / 80 ) | 8.04516129032258 | 0.0496823748128702 | 161.931898799622 |
| Trimmed Mean ( 59 / 80 ) | 8.04508196721311 | 0.0489989542677039 | 164.18885030197 |
| Trimmed Mean ( 60 / 80 ) | 8.045 | 0.0482443883617915 | 166.755145482816 |
| Trimmed Mean ( 61 / 80 ) | 8.04491525423729 | 0.0477146477577208 | 168.604728994055 |
| Trimmed Mean ( 62 / 80 ) | 8.0448275862069 | 0.047126497726707 | 170.707096310444 |
| Trimmed Mean ( 63 / 80 ) | 8.04473684210526 | 0.0464730625693931 | 173.105373249136 |
| Trimmed Mean ( 64 / 80 ) | 8.04464285714286 | 0.0457463363956082 | 175.853270250406 |
| Trimmed Mean ( 65 / 80 ) | 8.04363636363636 | 0.0451025570792983 | 178.341027305707 |
| Trimmed Mean ( 66 / 80 ) | 8.04351851851852 | 0.0445599449652554 | 180.510064022527 |
| Trimmed Mean ( 67 / 80 ) | 8.0433962264151 | 0.0439516778665589 | 183.005441813519 |
| Trimmed Mean ( 68 / 80 ) | 8.04326923076923 | 0.0432692307692308 | 185.888888888889 |
| Trimmed Mean ( 69 / 80 ) | 8.04411764705882 | 0.0426862865932068 | 188.447351340676 |
| Trimmed Mean ( 70 / 80 ) | 8.044 | 0.0422192449774347 | 190.529224392794 |
| Trimmed Mean ( 71 / 80 ) | 8.0438775510204 | 0.0416891991498211 | 192.948718494510 |
| Trimmed Mean ( 72 / 80 ) | 8.04479166666667 | 0.0412754385056102 | 194.905056322375 |
| Trimmed Mean ( 73 / 80 ) | 8.04574468085106 | 0.0408014228339897 | 197.192747752623 |
| Trimmed Mean ( 74 / 80 ) | 8.04673913043478 | 0.0402586918783349 | 199.875821965420 |
| Trimmed Mean ( 75 / 80 ) | 8.04777777777778 | 0.0396371739972886 | 203.03611398553 |
| Trimmed Mean ( 76 / 80 ) | 8.04772727272727 | 0.0391583765674779 | 205.517388057684 |
| Trimmed Mean ( 77 / 80 ) | 8.04767441860465 | 0.0386051868174398 | 208.460962944211 |
| Trimmed Mean ( 78 / 80 ) | 8.04761904761905 | 0.0379659308608114 | 211.969491203120 |
| Trimmed Mean ( 79 / 80 ) | 8.04634146341463 | 0.0374670435108858 | 214.757843411819 |
| Trimmed Mean ( 80 / 80 ) | 8.045 | 0.0368841841169719 | 218.115167587458 |
| Median | 8 | ||
| Midrange | 8.05 | ||
| Midmean - Weighted Average at Xnp | 7.9952380952381 | ||
| Midmean - Weighted Average at X(n+1)p | 8.045 | ||
| Midmean - Empirical Distribution Function | 7.9952380952381 | ||
| Midmean - Empirical Distribution Function - Averaging | 8.045 | ||
| Midmean - Empirical Distribution Function - Interpolation | 8.045 | ||
| Midmean - Closest Observation | 7.9952380952381 | ||
| Midmean - True Basic - Statistics Graphics Toolkit | 8.045 | ||
| Midmean - MS Excel (old versions) | 8.02923076923077 | ||
| Number of observations | 240 | ||
