Central Tendency - Ungrouped Data | |||
Measure | Value | S.E. | Value/S.E. |
Arithmetic Mean | 93.0057471264368 | 2.93792778132676 | 31.6569208125448 |
Geometric Mean | 85.8105348987817 | ||
Harmonic Mean | 79.0965171345831 | ||
Quadratic Mean | 100.713974192766 | ||
Winsorized Mean ( 1 / 58 ) | 92.7873563218391 | 2.86369606834930 | 32.4012584112405 |
Winsorized Mean ( 2 / 58 ) | 92.7528735632184 | 2.85011002473940 | 32.5436115652059 |
Winsorized Mean ( 3 / 58 ) | 92.632183908046 | 2.8127771850956 | 32.9326419450809 |
Winsorized Mean ( 4 / 58 ) | 92.5402298850575 | 2.74934060740451 | 33.6590634262735 |
Winsorized Mean ( 5 / 58 ) | 91.5344827586207 | 2.53102004950157 | 36.1650563679439 |
Winsorized Mean ( 6 / 58 ) | 91.5344827586207 | 2.52099873576343 | 36.3088173984750 |
Winsorized Mean ( 7 / 58 ) | 91.4137931034483 | 2.48877759470474 | 36.7303986093194 |
Winsorized Mean ( 8 / 58 ) | 91.2298850574713 | 2.44583068131661 | 37.3001638070716 |
Winsorized Mean ( 9 / 58 ) | 91.1781609195402 | 2.4236907172658 | 37.6195528043279 |
Winsorized Mean ( 10 / 58 ) | 91.0057471264368 | 2.39706009345841 | 37.9655676446293 |
Winsorized Mean ( 11 / 58 ) | 90.816091954023 | 2.35247128629264 | 38.6045485371871 |
Winsorized Mean ( 12 / 58 ) | 90.6091954022989 | 2.32290797163096 | 39.0067951502531 |
Winsorized Mean ( 13 / 58 ) | 90.235632183908 | 2.27208258677500 | 39.714943774112 |
Winsorized Mean ( 14 / 58 ) | 90.235632183908 | 2.25255256533841 | 40.0592792250119 |
Winsorized Mean ( 15 / 58 ) | 90.3218390804598 | 2.24306916496908 | 40.2670771329981 |
Winsorized Mean ( 16 / 58 ) | 90.1379310344828 | 2.21935639535873 | 40.6144462525195 |
Winsorized Mean ( 17 / 58 ) | 90.235632183908 | 2.16325382264878 | 41.7129193251209 |
Winsorized Mean ( 18 / 58 ) | 90.132183908046 | 2.12692681559465 | 42.3767208383457 |
Winsorized Mean ( 19 / 58 ) | 90.132183908046 | 2.12692681559465 | 42.3767208383457 |
Winsorized Mean ( 20 / 58 ) | 90.132183908046 | 2.1011555914032 | 42.8964824293919 |
Winsorized Mean ( 21 / 58 ) | 89.8908045977011 | 2.07241281289 | 43.3749511866545 |
Winsorized Mean ( 22 / 58 ) | 89.6379310344828 | 2.01575244303617 | 44.4687200276777 |
Winsorized Mean ( 23 / 58 ) | 89.6379310344828 | 2.01575244303617 | 44.4687200276777 |
Winsorized Mean ( 24 / 58 ) | 89.7758620689655 | 2.00177864751839 | 44.848046601087 |
Winsorized Mean ( 25 / 58 ) | 89.7758620689655 | 2.00177864751839 | 44.848046601087 |
Winsorized Mean ( 26 / 58 ) | 89.4770114942529 | 1.96838516682372 | 45.4570645025928 |
Winsorized Mean ( 27 / 58 ) | 89.4770114942529 | 1.96838516682372 | 45.4570645025928 |
Winsorized Mean ( 28 / 58 ) | 89.4770114942529 | 1.93454281887938 | 46.2522776032862 |
Winsorized Mean ( 29 / 58 ) | 89.3103448275862 | 1.88198451178223 | 47.4554090474473 |
Winsorized Mean ( 30 / 58 ) | 89.3103448275862 | 1.88198451178223 | 47.4554090474473 |
Winsorized Mean ( 31 / 58 ) | 89.4885057471264 | 1.86444726682553 | 47.9973380526298 |
Winsorized Mean ( 32 / 58 ) | 89.3045977011494 | 1.84490002798964 | 48.4061988976516 |
Winsorized Mean ( 33 / 58 ) | 89.3045977011494 | 1.76844434453061 | 50.4989585775474 |
Winsorized Mean ( 34 / 58 ) | 88.7183908045977 | 1.70902781321874 | 51.9116132097977 |
Winsorized Mean ( 35 / 58 ) | 88.919540229885 | 1.68965155658581 | 52.6259629586351 |
Winsorized Mean ( 36 / 58 ) | 89.3333333333333 | 1.65080486111412 | 54.1150171274895 |
Winsorized Mean ( 37 / 58 ) | 89.3333333333333 | 1.65080486111412 | 54.1150171274895 |
Winsorized Mean ( 38 / 58 ) | 89.551724137931 | 1.58929122702669 | 56.3469568163843 |
Winsorized Mean ( 39 / 58 ) | 89.551724137931 | 1.58929122702669 | 56.3469568163843 |
Winsorized Mean ( 40 / 58 ) | 89.3218390804598 | 1.56650010011703 | 57.020002152433 |
Winsorized Mean ( 41 / 58 ) | 89.3218390804598 | 1.56650010011703 | 57.020002152433 |
Winsorized Mean ( 42 / 58 ) | 89.080459770115 | 1.54289834362416 | 57.7357932479669 |
Winsorized Mean ( 43 / 58 ) | 89.3275862068966 | 1.52079387773092 | 58.7374709452254 |
Winsorized Mean ( 44 / 58 ) | 88.5689655172414 | 1.44827170951501 | 61.154937250622 |
Winsorized Mean ( 45 / 58 ) | 88.8275862068966 | 1.42517429536933 | 62.3275247775058 |
Winsorized Mean ( 46 / 58 ) | 88.8275862068966 | 1.42517429536933 | 62.3275247775058 |
Winsorized Mean ( 47 / 58 ) | 88.2873563218391 | 1.37512126033651 | 64.203324367361 |
Winsorized Mean ( 48 / 58 ) | 88.2873563218391 | 1.37512126033651 | 64.203324367361 |
Winsorized Mean ( 49 / 58 ) | 88.5689655172414 | 1.29974817038454 | 68.143173835773 |
Winsorized Mean ( 50 / 58 ) | 88.5689655172414 | 1.29974817038454 | 68.143173835773 |
Winsorized Mean ( 51 / 58 ) | 88.5689655172414 | 1.24787604302511 | 70.9757720025877 |
Winsorized Mean ( 52 / 58 ) | 88.5689655172414 | 1.24787604302511 | 70.9757720025877 |
Winsorized Mean ( 53 / 58 ) | 88.5689655172414 | 1.24787604302511 | 70.9757720025877 |
Winsorized Mean ( 54 / 58 ) | 88.8793103448276 | 1.22139675364179 | 72.7685824281256 |
Winsorized Mean ( 55 / 58 ) | 88.8793103448276 | 1.22139675364179 | 72.7685824281256 |
Winsorized Mean ( 56 / 58 ) | 88.5574712643678 | 1.19244690261342 | 74.2653371569682 |
Winsorized Mean ( 57 / 58 ) | 88.8850574712644 | 1.10812830812447 | 80.2118823421307 |
Winsorized Mean ( 58 / 58 ) | 88.8850574712644 | 1.10812830812447 | 80.2118823421307 |
Trimmed Mean ( 1 / 58 ) | 92.3604651162791 | 2.76897071164440 | 33.3555225874633 |
Trimmed Mean ( 2 / 58 ) | 91.9235294117647 | 2.66529438305771 | 34.4890718248943 |
Trimmed Mean ( 3 / 58 ) | 91.4940476190476 | 2.55943043145029 | 35.7478158010347 |
Trimmed Mean ( 4 / 58 ) | 91.0963855421687 | 2.45856838807686 | 37.0526140269077 |
Trimmed Mean ( 5 / 58 ) | 90.7134146341463 | 2.36842548269696 | 38.3011478709686 |
Trimmed Mean ( 6 / 58 ) | 90.537037037037 | 2.32793978641520 | 38.8914857529264 |
Trimmed Mean ( 7 / 58 ) | 90.35625 | 2.2863476902285 | 39.5199078364890 |
Trimmed Mean ( 8 / 58 ) | 90.1898734177215 | 2.24761516223274 | 40.126919827382 |
Trimmed Mean ( 9 / 58 ) | 90.0448717948718 | 2.21322707976242 | 40.6848771272659 |
Trimmed Mean ( 10 / 58 ) | 89.9025974025974 | 2.17952774318321 | 41.2486593408967 |
Trimmed Mean ( 11 / 58 ) | 89.7763157894737 | 2.14700658476992 | 41.8146438983066 |
Trimmed Mean ( 12 / 58 ) | 89.6666666666667 | 2.11794646789408 | 42.3366067206713 |
Trimmed Mean ( 13 / 58 ) | 89.5743243243243 | 2.09030566060426 | 42.8522612805012 |
Trimmed Mean ( 14 / 58 ) | 89.513698630137 | 2.06658724333834 | 43.3147445957993 |
Trimmed Mean ( 15 / 58 ) | 89.4513888888889 | 2.04306847031351 | 43.7828639561759 |
Trimmed Mean ( 16 / 58 ) | 89.3802816901408 | 2.01851217704696 | 44.2802786658946 |
Trimmed Mean ( 17 / 58 ) | 89.3214285714286 | 1.99437203672685 | 44.7867433590888 |
Trimmed Mean ( 18 / 58 ) | 89.2536231884058 | 1.97386021552943 | 45.2178034119128 |
Trimmed Mean ( 19 / 58 ) | 89.1911764705882 | 1.95509263792358 | 45.6199234453228 |
Trimmed Mean ( 20 / 58 ) | 89.1268656716418 | 1.93452532781163 | 46.0716974806755 |
Trimmed Mean ( 21 / 58 ) | 89.060606060606 | 1.91445424137107 | 46.5201017271762 |
Trimmed Mean ( 22 / 58 ) | 89.0076923076923 | 1.89518097570951 | 46.9652732105808 |
Trimmed Mean ( 23 / 58 ) | 88.96875 | 1.87922547170999 | 47.3433078357775 |
Trimmed Mean ( 24 / 58 ) | 88.9285714285714 | 1.86159783123551 | 47.7700231147943 |
Trimmed Mean ( 25 / 58 ) | 88.8790322580645 | 1.84334673591792 | 48.2161226242691 |
Trimmed Mean ( 26 / 58 ) | 88.827868852459 | 1.82315610993288 | 48.7220311900385 |
Trimmed Mean ( 27 / 58 ) | 88.7916666666667 | 1.80385891340161 | 49.2231770494891 |
Trimmed Mean ( 28 / 58 ) | 88.7542372881356 | 1.78245901472325 | 49.7931433794655 |
Trimmed Mean ( 29 / 58 ) | 88.7155172413793 | 1.76173750759005 | 50.3568306056769 |
Trimmed Mean ( 30 / 58 ) | 88.6842105263158 | 1.74336704195821 | 50.8695004505204 |
Trimmed Mean ( 31 / 58 ) | 88.6517857142857 | 1.72286415912086 | 51.4560508122258 |
Trimmed Mean ( 32 / 58 ) | 88.609090909091 | 1.70149791508936 | 52.0771081311828 |
Trimmed Mean ( 33 / 58 ) | 88.574074074074 | 1.67940117851513 | 52.7414623779104 |
Trimmed Mean ( 34 / 58 ) | 88.5377358490566 | 1.66147481700131 | 53.288641478691 |
Trimmed Mean ( 35 / 58 ) | 88.5288461538462 | 1.64655913039805 | 53.7659683879344 |
Trimmed Mean ( 36 / 58 ) | 88.5098039215686 | 1.63131276677644 | 54.256795952421 |
Trimmed Mean ( 37 / 58 ) | 88.47 | 1.61729634722505 | 54.7024051292744 |
Trimmed Mean ( 38 / 58 ) | 88.4285714285714 | 1.60126974653810 | 55.2240318158457 |
Trimmed Mean ( 39 / 58 ) | 88.375 | 1.5883519264021 | 55.6394326288791 |
Trimmed Mean ( 40 / 58 ) | 88.3191489361702 | 1.57343050144791 | 56.1315856371773 |
Trimmed Mean ( 41 / 58 ) | 88.2717391304348 | 1.55839535956699 | 56.6427117409807 |
Trimmed Mean ( 42 / 58 ) | 88.2222222222222 | 1.54101461281142 | 57.2494390960188 |
Trimmed Mean ( 43 / 58 ) | 88.1818181818182 | 1.52329057407927 | 57.8890329148911 |
Trimmed Mean ( 44 / 58 ) | 88.1279069767442 | 1.50483002677183 | 58.5633629106913 |
Trimmed Mean ( 45 / 58 ) | 88.1071428571429 | 1.49074577488273 | 59.1027285414066 |
Trimmed Mean ( 46 / 58 ) | 88.0731707317073 | 1.47638038213825 | 59.6547961468781 |
Trimmed Mean ( 47 / 58 ) | 88.0375 | 1.45941332824468 | 60.3238974841263 |
Trimmed Mean ( 48 / 58 ) | 88.025641025641 | 1.44472749983380 | 60.9288886906131 |
Trimmed Mean ( 49 / 58 ) | 88.0131578947368 | 1.42724042664754 | 61.6666654415554 |
Trimmed Mean ( 50 / 58 ) | 87.9864864864865 | 1.41453988333358 | 62.2014886417575 |
Trimmed Mean ( 51 / 58 ) | 87.9864864864865 | 1.39911629554183 | 62.8871858378378 |
Trimmed Mean ( 52 / 58 ) | 87.9285714285714 | 1.38631606322358 | 63.4260640564983 |
Trimmed Mean ( 53 / 58 ) | 87.8970588235294 | 1.37057047809227 | 64.1317321717564 |
Trimmed Mean ( 54 / 58 ) | 87.8636363636364 | 1.35131574725581 | 65.0208040142106 |
Trimmed Mean ( 55 / 58 ) | 87.8125 | 1.33107602820318 | 65.9710626135596 |
Trimmed Mean ( 56 / 58 ) | 87.758064516129 | 1.30626879788477 | 67.1822404839149 |
Trimmed Mean ( 57 / 58 ) | 87.7166666666667 | 1.28024796032826 | 68.515373103329 |
Trimmed Mean ( 58 / 58 ) | 87.6551724137931 | 1.26029978576238 | 69.5510492059386 |
Median | 87 | ||
Midrange | 148.5 | ||
Midmean - Weighted Average at Xnp | 87.8735632183908 | ||
Midmean - Weighted Average at X(n+1)p | 88.4831460674157 | ||
Midmean - Empirical Distribution Function | 88.4831460674157 | ||
Midmean - Empirical Distribution Function - Averaging | 88.4831460674157 | ||
Midmean - Empirical Distribution Function - Interpolation | 87.8735632183908 | ||
Midmean - Closest Observation | 88.4831460674157 | ||
Midmean - True Basic - Statistics Graphics Toolkit | 88.4831460674157 | ||
Midmean - MS Excel (old versions) | 88.4831460674157 | ||
Number of observations | 174 |