Central Tendency - Ungrouped Data | |||
Measure | Value | S.E. | Value/S.E. |
Arithmetic Mean | 92.7371428571429 | 2.93341492220143 | 31.6140557393588 |
Geometric Mean | 85.505348023694 | ||
Harmonic Mean | 78.7726537204718 | ||
Quadratic Mean | 100.485990494766 | ||
Winsorized Mean ( 1 / 58 ) | 92.52 | 2.85980972416986 | 32.3518027154259 |
Winsorized Mean ( 2 / 58 ) | 92.4857142857143 | 2.84634247654489 | 32.4928272152199 |
Winsorized Mean ( 3 / 58 ) | 92.3657142857143 | 2.80932410856877 | 32.8782691907951 |
Winsorized Mean ( 4 / 58 ) | 92.2742857142857 | 2.74649102467635 | 33.5971553830800 |
Winsorized Mean ( 5 / 58 ) | 91.2742857142857 | 2.52993139237126 | 36.0777711164476 |
Winsorized Mean ( 6 / 58 ) | 91.2742857142857 | 2.52002055329353 | 36.2196592384912 |
Winsorized Mean ( 7 / 58 ) | 91.1542857142857 | 2.48808546285428 | 36.6363161857452 |
Winsorized Mean ( 8 / 58 ) | 90.9714285714286 | 2.44551032711542 | 37.1993638966691 |
Winsorized Mean ( 9 / 58 ) | 90.92 | 2.42359013914514 | 37.5145939618609 |
Winsorized Mean ( 10 / 58 ) | 90.7485714285714 | 2.39715853374161 | 37.8567250147308 |
Winsorized Mean ( 11 / 58 ) | 90.56 | 2.35296773094259 | 38.4875656427816 |
Winsorized Mean ( 12 / 58 ) | 90.3542857142857 | 2.32362065506135 | 38.8851276207562 |
Winsorized Mean ( 13 / 58 ) | 89.9828571428571 | 2.27315993953794 | 39.5849212269452 |
Winsorized Mean ( 14 / 58 ) | 89.9028571428571 | 2.26270794485835 | 39.7324176755323 |
Winsorized Mean ( 15 / 58 ) | 89.9885714285714 | 2.25322958979556 | 39.937595279288 |
Winsorized Mean ( 16 / 58 ) | 89.8971428571429 | 2.21973643438633 | 40.4990166690649 |
Winsorized Mean ( 17 / 58 ) | 89.7028571428571 | 2.19535671044357 | 40.8602650840887 |
Winsorized Mean ( 18 / 58 ) | 89.8057142857143 | 2.13716349225657 | 42.0209846420739 |
Winsorized Mean ( 19 / 58 ) | 89.9142857142857 | 2.12593427185943 | 42.2940101697702 |
Winsorized Mean ( 20 / 58 ) | 89.8 | 2.11209667888390 | 42.5169931366273 |
Winsorized Mean ( 21 / 58 ) | 89.68 | 2.07129160976346 | 43.2966558534176 |
Winsorized Mean ( 22 / 58 ) | 89.3028571428571 | 2.027924501947 | 44.0365788061231 |
Winsorized Mean ( 23 / 58 ) | 89.4342857142857 | 2.01452031381392 | 44.394829429626 |
Winsorized Mean ( 24 / 58 ) | 89.4342857142857 | 2.01452031381392 | 44.394829429626 |
Winsorized Mean ( 25 / 58 ) | 89.5771428571429 | 2.0002028515472 | 44.7840291737675 |
Winsorized Mean ( 26 / 58 ) | 89.28 | 1.96699599257629 | 45.3890096049789 |
Winsorized Mean ( 27 / 58 ) | 89.28 | 1.96699599257629 | 45.3890096049789 |
Winsorized Mean ( 28 / 58 ) | 89.12 | 1.94948083695679 | 45.7147350774269 |
Winsorized Mean ( 29 / 58 ) | 88.9542857142857 | 1.89725957660218 | 46.8856696317722 |
Winsorized Mean ( 30 / 58 ) | 89.1257142857143 | 1.8802860618554 | 47.4000824096777 |
Winsorized Mean ( 31 / 58 ) | 89.1257142857143 | 1.8802860618554 | 47.4000824096777 |
Winsorized Mean ( 32 / 58 ) | 89.1257142857143 | 1.84302915402471 | 48.3582769654437 |
Winsorized Mean ( 33 / 58 ) | 88.7485714285714 | 1.80372663982845 | 49.2028944236318 |
Winsorized Mean ( 34 / 58 ) | 88.5542857142857 | 1.70713978605161 | 51.8728966648362 |
Winsorized Mean ( 35 / 58 ) | 88.5542857142857 | 1.70713978605161 | 51.8728966648362 |
Winsorized Mean ( 36 / 58 ) | 88.76 | 1.68752712074539 | 52.5976731922354 |
Winsorized Mean ( 37 / 58 ) | 89.1828571428571 | 1.64822787426329 | 54.1083296402322 |
Winsorized Mean ( 38 / 58 ) | 88.9657142857143 | 1.62656310357407 | 54.6955197066923 |
Winsorized Mean ( 39 / 58 ) | 89.4114285714286 | 1.5863992662471 | 56.3612392376774 |
Winsorized Mean ( 40 / 58 ) | 89.1828571428571 | 1.56371151858244 | 57.032806935965 |
Winsorized Mean ( 41 / 58 ) | 89.1828571428571 | 1.56371151858244 | 57.032806935965 |
Winsorized Mean ( 42 / 58 ) | 88.9428571428571 | 1.54021546028026 | 57.747022696859 |
Winsorized Mean ( 43 / 58 ) | 88.9428571428571 | 1.54021546028026 | 57.747022696859 |
Winsorized Mean ( 44 / 58 ) | 88.44 | 1.44573570341814 | 61.1730067887944 |
Winsorized Mean ( 45 / 58 ) | 88.44 | 1.44573570341814 | 61.1730067887944 |
Winsorized Mean ( 46 / 58 ) | 88.7028571428571 | 1.42248595470891 | 62.3576330221192 |
Winsorized Mean ( 47 / 58 ) | 88.1657142857143 | 1.37264136303614 | 64.2306990448699 |
Winsorized Mean ( 48 / 58 ) | 88.1657142857143 | 1.37264136303614 | 64.2306990448699 |
Winsorized Mean ( 49 / 58 ) | 87.8857142857143 | 1.34723111151708 | 65.2343265638726 |
Winsorized Mean ( 50 / 58 ) | 88.4571428571429 | 1.29712867913231 | 68.1945779784272 |
Winsorized Mean ( 51 / 58 ) | 88.1657142857143 | 1.27079347987640 | 69.3784754815469 |
Winsorized Mean ( 52 / 58 ) | 88.4628571428571 | 1.24525382791695 | 71.0400202429707 |
Winsorized Mean ( 53 / 58 ) | 88.4628571428571 | 1.24525382791695 | 71.0400202429707 |
Winsorized Mean ( 54 / 58 ) | 88.4628571428571 | 1.24525382791695 | 71.0400202429707 |
Winsorized Mean ( 55 / 58 ) | 88.7771428571429 | 1.21868739546407 | 72.8465258503283 |
Winsorized Mean ( 56 / 58 ) | 88.4571428571429 | 1.18985073882016 | 74.343058310705 |
Winsorized Mean ( 57 / 58 ) | 88.1314285714286 | 1.16085548465408 | 75.9193799197928 |
Winsorized Mean ( 58 / 58 ) | 88.7942857142857 | 1.10551081574739 | 80.3196897302679 |
Trimmed Mean ( 1 / 58 ) | 92.092485549133 | 2.76593089463812 | 33.2952951672286 |
Trimmed Mean ( 2 / 58 ) | 91.6549707602339 | 2.66323723802336 | 34.4148727915279 |
Trimmed Mean ( 3 / 58 ) | 91.224852071006 | 2.55844239477191 | 35.6564026055153 |
Trimmed Mean ( 4 / 58 ) | 90.8263473053892 | 2.45867631985025 | 36.9411567403558 |
Trimmed Mean ( 5 / 58 ) | 90.4424242424242 | 2.36957419302637 | 38.1682179475938 |
Trimmed Mean ( 6 / 58 ) | 90.2638036809816 | 2.32969216694682 | 38.7449487797681 |
Trimmed Mean ( 7 / 58 ) | 90.080745341615 | 2.28874465773907 | 39.3581455393109 |
Trimmed Mean ( 8 / 58 ) | 89.9119496855346 | 2.25066016812956 | 39.9491451258309 |
Trimmed Mean ( 9 / 58 ) | 89.7643312101911 | 2.21690718256291 | 40.4907936228602 |
Trimmed Mean ( 10 / 58 ) | 89.6193548387097 | 2.18386648134841 | 41.0370119254612 |
Trimmed Mean ( 11 / 58 ) | 89.4901960784314 | 2.15203277569988 | 41.5840302661411 |
Trimmed Mean ( 12 / 58 ) | 89.3774834437086 | 2.12365509648275 | 42.0866286581742 |
Trimmed Mean ( 13 / 58 ) | 89.2818791946309 | 2.09672424100071 | 42.5816029827647 |
Trimmed Mean ( 14 / 58 ) | 89.21768707483 | 2.073716418969 | 43.0230894922395 |
Trimmed Mean ( 15 / 58 ) | 89.1586206896552 | 2.04994336577384 | 43.4932116556296 |
Trimmed Mean ( 16 / 58 ) | 89.0909090909091 | 2.02512799961973 | 43.9927298954132 |
Trimmed Mean ( 17 / 58 ) | 89.0283687943262 | 2.00174552153108 | 44.4753680409040 |
Trimmed Mean ( 18 / 58 ) | 88.978417266187 | 1.97883882865177 | 44.9649642900983 |
Trimmed Mean ( 19 / 58 ) | 88.9197080291971 | 1.95966350790330 | 45.3749879357271 |
Trimmed Mean ( 20 / 58 ) | 88.8518518518518 | 1.93973659454601 | 45.8061430101788 |
Trimmed Mean ( 21 / 58 ) | 88.7894736842105 | 1.91925323893626 | 46.2625107947826 |
Trimmed Mean ( 22 / 58 ) | 88.732824427481 | 1.90063884020046 | 46.6857892992033 |
Trimmed Mean ( 23 / 58 ) | 88.6976744186046 | 1.88420237411574 | 47.0743884187231 |
Trimmed Mean ( 24 / 58 ) | 88.6535433070866 | 1.86724701570716 | 47.4782085933671 |
Trimmed Mean ( 25 / 58 ) | 88.608 | 1.84851801146477 | 47.9346154327091 |
Trimmed Mean ( 26 / 58 ) | 88.5528455284553 | 1.82906776930466 | 48.4141960262739 |
Trimmed Mean ( 27 / 58 ) | 88.5123966942149 | 1.81055657479526 | 48.8868439276602 |
Trimmed Mean ( 28 / 58 ) | 88.4705882352941 | 1.7900333167146 | 49.4239897152707 |
Trimmed Mean ( 29 / 58 ) | 88.4705882352941 | 1.76885591692652 | 50.0157120705549 |
Trimmed Mean ( 30 / 58 ) | 88.408695652174 | 1.74996548520715 | 50.5202510560992 |
Trimmed Mean ( 31 / 58 ) | 88.408695652174 | 1.73037098259296 | 51.0923360028226 |
Trimmed Mean ( 32 / 58 ) | 88.3333333333333 | 1.70850037137061 | 51.7022617106425 |
Trimmed Mean ( 33 / 58 ) | 88.2935779816514 | 1.68739922125386 | 52.3252451877054 |
Trimmed Mean ( 34 / 58 ) | 88.2710280373832 | 1.66734325208434 | 52.9411253064033 |
Trimmed Mean ( 35 / 58 ) | 88.2571428571429 | 1.65328115158787 | 53.3830212558691 |
Trimmed Mean ( 36 / 58 ) | 88.242718446602 | 1.63732787487697 | 53.8943481025342 |
Trimmed Mean ( 37 / 58 ) | 88.2178217821782 | 1.62093995224724 | 54.4238678674522 |
Trimmed Mean ( 38 / 58 ) | 88.1717171717172 | 1.60568976503236 | 54.9120503174786 |
Trimmed Mean ( 39 / 58 ) | 88.1340206185567 | 1.59025631092782 | 55.4212676364957 |
Trimmed Mean ( 40 / 58 ) | 88.0736842105263 | 1.57601295073600 | 55.8838581684215 |
Trimmed Mean ( 41 / 58 ) | 88.021505376344 | 1.56172505754326 | 56.3617167767098 |
Trimmed Mean ( 42 / 58 ) | 87.967032967033 | 1.54520413273834 | 56.9290691781558 |
Trimmed Mean ( 43 / 58 ) | 87.9213483146067 | 1.52843533918940 | 57.5237604498437 |
Trimmed Mean ( 44 / 58 ) | 87.8735632183908 | 1.50902166232275 | 58.2321416666295 |
Trimmed Mean ( 45 / 58 ) | 87.8735632183908 | 1.49588659922667 | 58.7434657572433 |
Trimmed Mean ( 46 / 58 ) | 87.8192771084337 | 1.4804182302452 | 59.3205861115938 |
Trimmed Mean ( 47 / 58 ) | 87.7777777777778 | 1.4644975542553 | 59.937128281797 |
Trimmed Mean ( 48 / 58 ) | 87.759493670886 | 1.45094124839293 | 60.4845260055078 |
Trimmed Mean ( 49 / 58 ) | 87.7402597402597 | 1.43477494804545 | 61.1526287518371 |
Trimmed Mean ( 50 / 58 ) | 87.7333333333333 | 1.41832706088957 | 61.8569128042351 |
Trimmed Mean ( 51 / 58 ) | 87.6986301369863 | 1.40404462113498 | 62.461426664698 |
Trimmed Mean ( 52 / 58 ) | 87.6760563380282 | 1.38978374298613 | 63.0861144983929 |
Trimmed Mean ( 53 / 58 ) | 87.6376811594203 | 1.37524252135302 | 63.7252555812475 |
Trimmed Mean ( 54 / 58 ) | 87.5970149253731 | 1.35743587622764 | 64.5312360306907 |
Trimmed Mean ( 55 / 58 ) | 87.5538461538462 | 1.33572055770809 | 65.5480262309326 |
Trimmed Mean ( 56 / 58 ) | 87.4920634920635 | 1.31260247270187 | 66.6554157192536 |
Trimmed Mean ( 57 / 58 ) | 87.4426229508197 | 1.28856352226394 | 67.86054504879 |
Trimmed Mean ( 58 / 58 ) | 87.4426229508197 | 1.26341281796874 | 69.2114419825233 |
Median | 87 | ||
Midrange | 148.5 | ||
Midmean - Weighted Average at Xnp | 86.6304347826087 | ||
Midmean - Weighted Average at X(n+1)p | 87.2340425531915 | ||
Midmean - Empirical Distribution Function | 87.2340425531915 | ||
Midmean - Empirical Distribution Function - Averaging | 87.2340425531915 | ||
Midmean - Empirical Distribution Function - Interpolation | 87.8735632183908 | ||
Midmean - Closest Observation | 86.6304347826087 | ||
Midmean - True Basic - Statistics Graphics Toolkit | 87.2340425531915 | ||
Midmean - MS Excel (old versions) | 87.2340425531915 | ||
Number of observations | 175 |