Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationWed, 17 Mar 2010 10:20:56 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Mar/17/t1268842904d7d28ceksy4mpth.htm/, Retrieved Fri, 21 Jan 2022 10:59:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=74520, Retrieved Fri, 21 Jan 2022 10:59:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP1W52
Estimated Impact122
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [Centrummaten - Wi...] [2010-03-17 16:20:56] [f4f549f228d34384e7bf90c4c5a21d21] [Current]
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Dataseries X:
112
118
129
99
116
168
118
129
205
147
150
267
126
129
124
97
102
127
222
214
118
141
154
226
89
77
82
97
127
121
117
117
106
112
134
169
75
108
115
85
101
108
109
124
105
95
135
164
88
85
112
87
91
87
87
142
95
108
139
159
61
82
124
93
108
75
87
103
90
108
123
129
57
65
67
71
76
67
110
118
99
85
107
141
58
65
70
86
93
74
87
73
101
100
96
157
63
115
70
66
67
83
79
77
102
116
100
135
71
60
89
74
73
91
86
74
87
87
109
137
43
69
73
77
69
76
78
70
83
65
110
132
54
55
66
65
60
65
96
55
71
63
74
106
34
47
56
53
53
55
67
52
46
51
58
91
33
40
46
45
41
55
57
54
46
52
48
77
30
35
42
48
44
45
46




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74520&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74520&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74520&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean92.73714285714292.9334149222014331.6140557393588
Geometric Mean85.505348023694
Harmonic Mean78.7726537204718
Quadratic Mean100.485990494766
Winsorized Mean ( 1 / 58 )92.522.8598097241698632.3518027154259
Winsorized Mean ( 2 / 58 )92.48571428571432.8463424765448932.4928272152199
Winsorized Mean ( 3 / 58 )92.36571428571432.8093241085687732.8782691907951
Winsorized Mean ( 4 / 58 )92.27428571428572.7464910246763533.5971553830800
Winsorized Mean ( 5 / 58 )91.27428571428572.5299313923712636.0777711164476
Winsorized Mean ( 6 / 58 )91.27428571428572.5200205532935336.2196592384912
Winsorized Mean ( 7 / 58 )91.15428571428572.4880854628542836.6363161857452
Winsorized Mean ( 8 / 58 )90.97142857142862.4455103271154237.1993638966691
Winsorized Mean ( 9 / 58 )90.922.4235901391451437.5145939618609
Winsorized Mean ( 10 / 58 )90.74857142857142.3971585337416137.8567250147308
Winsorized Mean ( 11 / 58 )90.562.3529677309425938.4875656427816
Winsorized Mean ( 12 / 58 )90.35428571428572.3236206550613538.8851276207562
Winsorized Mean ( 13 / 58 )89.98285714285712.2731599395379439.5849212269452
Winsorized Mean ( 14 / 58 )89.90285714285712.2627079448583539.7324176755323
Winsorized Mean ( 15 / 58 )89.98857142857142.2532295897955639.937595279288
Winsorized Mean ( 16 / 58 )89.89714285714292.2197364343863340.4990166690649
Winsorized Mean ( 17 / 58 )89.70285714285712.1953567104435740.8602650840887
Winsorized Mean ( 18 / 58 )89.80571428571432.1371634922565742.0209846420739
Winsorized Mean ( 19 / 58 )89.91428571428572.1259342718594342.2940101697702
Winsorized Mean ( 20 / 58 )89.82.1120966788839042.5169931366273
Winsorized Mean ( 21 / 58 )89.682.0712916097634643.2966558534176
Winsorized Mean ( 22 / 58 )89.30285714285712.02792450194744.0365788061231
Winsorized Mean ( 23 / 58 )89.43428571428572.0145203138139244.394829429626
Winsorized Mean ( 24 / 58 )89.43428571428572.0145203138139244.394829429626
Winsorized Mean ( 25 / 58 )89.57714285714292.000202851547244.7840291737675
Winsorized Mean ( 26 / 58 )89.281.9669959925762945.3890096049789
Winsorized Mean ( 27 / 58 )89.281.9669959925762945.3890096049789
Winsorized Mean ( 28 / 58 )89.121.9494808369567945.7147350774269
Winsorized Mean ( 29 / 58 )88.95428571428571.8972595766021846.8856696317722
Winsorized Mean ( 30 / 58 )89.12571428571431.880286061855447.4000824096777
Winsorized Mean ( 31 / 58 )89.12571428571431.880286061855447.4000824096777
Winsorized Mean ( 32 / 58 )89.12571428571431.8430291540247148.3582769654437
Winsorized Mean ( 33 / 58 )88.74857142857141.8037266398284549.2028944236318
Winsorized Mean ( 34 / 58 )88.55428571428571.7071397860516151.8728966648362
Winsorized Mean ( 35 / 58 )88.55428571428571.7071397860516151.8728966648362
Winsorized Mean ( 36 / 58 )88.761.6875271207453952.5976731922354
Winsorized Mean ( 37 / 58 )89.18285714285711.6482278742632954.1083296402322
Winsorized Mean ( 38 / 58 )88.96571428571431.6265631035740754.6955197066923
Winsorized Mean ( 39 / 58 )89.41142857142861.586399266247156.3612392376774
Winsorized Mean ( 40 / 58 )89.18285714285711.5637115185824457.032806935965
Winsorized Mean ( 41 / 58 )89.18285714285711.5637115185824457.032806935965
Winsorized Mean ( 42 / 58 )88.94285714285711.5402154602802657.747022696859
Winsorized Mean ( 43 / 58 )88.94285714285711.5402154602802657.747022696859
Winsorized Mean ( 44 / 58 )88.441.4457357034181461.1730067887944
Winsorized Mean ( 45 / 58 )88.441.4457357034181461.1730067887944
Winsorized Mean ( 46 / 58 )88.70285714285711.4224859547089162.3576330221192
Winsorized Mean ( 47 / 58 )88.16571428571431.3726413630361464.2306990448699
Winsorized Mean ( 48 / 58 )88.16571428571431.3726413630361464.2306990448699
Winsorized Mean ( 49 / 58 )87.88571428571431.3472311115170865.2343265638726
Winsorized Mean ( 50 / 58 )88.45714285714291.2971286791323168.1945779784272
Winsorized Mean ( 51 / 58 )88.16571428571431.2707934798764069.3784754815469
Winsorized Mean ( 52 / 58 )88.46285714285711.2452538279169571.0400202429707
Winsorized Mean ( 53 / 58 )88.46285714285711.2452538279169571.0400202429707
Winsorized Mean ( 54 / 58 )88.46285714285711.2452538279169571.0400202429707
Winsorized Mean ( 55 / 58 )88.77714285714291.2186873954640772.8465258503283
Winsorized Mean ( 56 / 58 )88.45714285714291.1898507388201674.343058310705
Winsorized Mean ( 57 / 58 )88.13142857142861.1608554846540875.9193799197928
Winsorized Mean ( 58 / 58 )88.79428571428571.1055108157473980.3196897302679
Trimmed Mean ( 1 / 58 )92.0924855491332.7659308946381233.2952951672286
Trimmed Mean ( 2 / 58 )91.65497076023392.6632372380233634.4148727915279
Trimmed Mean ( 3 / 58 )91.2248520710062.5584423947719135.6564026055153
Trimmed Mean ( 4 / 58 )90.82634730538922.4586763198502536.9411567403558
Trimmed Mean ( 5 / 58 )90.44242424242422.3695741930263738.1682179475938
Trimmed Mean ( 6 / 58 )90.26380368098162.3296921669468238.7449487797681
Trimmed Mean ( 7 / 58 )90.0807453416152.2887446577390739.3581455393109
Trimmed Mean ( 8 / 58 )89.91194968553462.2506601681295639.9491451258309
Trimmed Mean ( 9 / 58 )89.76433121019112.2169071825629140.4907936228602
Trimmed Mean ( 10 / 58 )89.61935483870972.1838664813484141.0370119254612
Trimmed Mean ( 11 / 58 )89.49019607843142.1520327756998841.5840302661411
Trimmed Mean ( 12 / 58 )89.37748344370862.1236550964827542.0866286581742
Trimmed Mean ( 13 / 58 )89.28187919463092.0967242410007142.5816029827647
Trimmed Mean ( 14 / 58 )89.217687074832.07371641896943.0230894922395
Trimmed Mean ( 15 / 58 )89.15862068965522.0499433657738443.4932116556296
Trimmed Mean ( 16 / 58 )89.09090909090912.0251279996197343.9927298954132
Trimmed Mean ( 17 / 58 )89.02836879432622.0017455215310844.4753680409040
Trimmed Mean ( 18 / 58 )88.9784172661871.9788388286517744.9649642900983
Trimmed Mean ( 19 / 58 )88.91970802919711.9596635079033045.3749879357271
Trimmed Mean ( 20 / 58 )88.85185185185181.9397365945460145.8061430101788
Trimmed Mean ( 21 / 58 )88.78947368421051.9192532389362646.2625107947826
Trimmed Mean ( 22 / 58 )88.7328244274811.9006388402004646.6857892992033
Trimmed Mean ( 23 / 58 )88.69767441860461.8842023741157447.0743884187231
Trimmed Mean ( 24 / 58 )88.65354330708661.8672470157071647.4782085933671
Trimmed Mean ( 25 / 58 )88.6081.8485180114647747.9346154327091
Trimmed Mean ( 26 / 58 )88.55284552845531.8290677693046648.4141960262739
Trimmed Mean ( 27 / 58 )88.51239669421491.8105565747952648.8868439276602
Trimmed Mean ( 28 / 58 )88.47058823529411.790033316714649.4239897152707
Trimmed Mean ( 29 / 58 )88.47058823529411.7688559169265250.0157120705549
Trimmed Mean ( 30 / 58 )88.4086956521741.7499654852071550.5202510560992
Trimmed Mean ( 31 / 58 )88.4086956521741.7303709825929651.0923360028226
Trimmed Mean ( 32 / 58 )88.33333333333331.7085003713706151.7022617106425
Trimmed Mean ( 33 / 58 )88.29357798165141.6873992212538652.3252451877054
Trimmed Mean ( 34 / 58 )88.27102803738321.6673432520843452.9411253064033
Trimmed Mean ( 35 / 58 )88.25714285714291.6532811515878753.3830212558691
Trimmed Mean ( 36 / 58 )88.2427184466021.6373278748769753.8943481025342
Trimmed Mean ( 37 / 58 )88.21782178217821.6209399522472454.4238678674522
Trimmed Mean ( 38 / 58 )88.17171717171721.6056897650323654.9120503174786
Trimmed Mean ( 39 / 58 )88.13402061855671.5902563109278255.4212676364957
Trimmed Mean ( 40 / 58 )88.07368421052631.5760129507360055.8838581684215
Trimmed Mean ( 41 / 58 )88.0215053763441.5617250575432656.3617167767098
Trimmed Mean ( 42 / 58 )87.9670329670331.5452041327383456.9290691781558
Trimmed Mean ( 43 / 58 )87.92134831460671.5284353391894057.5237604498437
Trimmed Mean ( 44 / 58 )87.87356321839081.5090216623227558.2321416666295
Trimmed Mean ( 45 / 58 )87.87356321839081.4958865992266758.7434657572433
Trimmed Mean ( 46 / 58 )87.81927710843371.480418230245259.3205861115938
Trimmed Mean ( 47 / 58 )87.77777777777781.464497554255359.937128281797
Trimmed Mean ( 48 / 58 )87.7594936708861.4509412483929360.4845260055078
Trimmed Mean ( 49 / 58 )87.74025974025971.4347749480454561.1526287518371
Trimmed Mean ( 50 / 58 )87.73333333333331.4183270608895761.8569128042351
Trimmed Mean ( 51 / 58 )87.69863013698631.4040446211349862.461426664698
Trimmed Mean ( 52 / 58 )87.67605633802821.3897837429861363.0861144983929
Trimmed Mean ( 53 / 58 )87.63768115942031.3752425213530263.7252555812475
Trimmed Mean ( 54 / 58 )87.59701492537311.3574358762276464.5312360306907
Trimmed Mean ( 55 / 58 )87.55384615384621.3357205577080965.5480262309326
Trimmed Mean ( 56 / 58 )87.49206349206351.3126024727018766.6554157192536
Trimmed Mean ( 57 / 58 )87.44262295081971.2885635222639467.86054504879
Trimmed Mean ( 58 / 58 )87.44262295081971.2634128179687469.2114419825233
Median87
Midrange148.5
Midmean - Weighted Average at Xnp86.6304347826087
Midmean - Weighted Average at X(n+1)p87.2340425531915
Midmean - Empirical Distribution Function87.2340425531915
Midmean - Empirical Distribution Function - Averaging87.2340425531915
Midmean - Empirical Distribution Function - Interpolation87.8735632183908
Midmean - Closest Observation86.6304347826087
Midmean - True Basic - Statistics Graphics Toolkit87.2340425531915
Midmean - MS Excel (old versions)87.2340425531915
Number of observations175

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 92.7371428571429 & 2.93341492220143 & 31.6140557393588 \tabularnewline
Geometric Mean & 85.505348023694 &  &  \tabularnewline
Harmonic Mean & 78.7726537204718 &  &  \tabularnewline
Quadratic Mean & 100.485990494766 &  &  \tabularnewline
Winsorized Mean ( 1 / 58 ) & 92.52 & 2.85980972416986 & 32.3518027154259 \tabularnewline
Winsorized Mean ( 2 / 58 ) & 92.4857142857143 & 2.84634247654489 & 32.4928272152199 \tabularnewline
Winsorized Mean ( 3 / 58 ) & 92.3657142857143 & 2.80932410856877 & 32.8782691907951 \tabularnewline
Winsorized Mean ( 4 / 58 ) & 92.2742857142857 & 2.74649102467635 & 33.5971553830800 \tabularnewline
Winsorized Mean ( 5 / 58 ) & 91.2742857142857 & 2.52993139237126 & 36.0777711164476 \tabularnewline
Winsorized Mean ( 6 / 58 ) & 91.2742857142857 & 2.52002055329353 & 36.2196592384912 \tabularnewline
Winsorized Mean ( 7 / 58 ) & 91.1542857142857 & 2.48808546285428 & 36.6363161857452 \tabularnewline
Winsorized Mean ( 8 / 58 ) & 90.9714285714286 & 2.44551032711542 & 37.1993638966691 \tabularnewline
Winsorized Mean ( 9 / 58 ) & 90.92 & 2.42359013914514 & 37.5145939618609 \tabularnewline
Winsorized Mean ( 10 / 58 ) & 90.7485714285714 & 2.39715853374161 & 37.8567250147308 \tabularnewline
Winsorized Mean ( 11 / 58 ) & 90.56 & 2.35296773094259 & 38.4875656427816 \tabularnewline
Winsorized Mean ( 12 / 58 ) & 90.3542857142857 & 2.32362065506135 & 38.8851276207562 \tabularnewline
Winsorized Mean ( 13 / 58 ) & 89.9828571428571 & 2.27315993953794 & 39.5849212269452 \tabularnewline
Winsorized Mean ( 14 / 58 ) & 89.9028571428571 & 2.26270794485835 & 39.7324176755323 \tabularnewline
Winsorized Mean ( 15 / 58 ) & 89.9885714285714 & 2.25322958979556 & 39.937595279288 \tabularnewline
Winsorized Mean ( 16 / 58 ) & 89.8971428571429 & 2.21973643438633 & 40.4990166690649 \tabularnewline
Winsorized Mean ( 17 / 58 ) & 89.7028571428571 & 2.19535671044357 & 40.8602650840887 \tabularnewline
Winsorized Mean ( 18 / 58 ) & 89.8057142857143 & 2.13716349225657 & 42.0209846420739 \tabularnewline
Winsorized Mean ( 19 / 58 ) & 89.9142857142857 & 2.12593427185943 & 42.2940101697702 \tabularnewline
Winsorized Mean ( 20 / 58 ) & 89.8 & 2.11209667888390 & 42.5169931366273 \tabularnewline
Winsorized Mean ( 21 / 58 ) & 89.68 & 2.07129160976346 & 43.2966558534176 \tabularnewline
Winsorized Mean ( 22 / 58 ) & 89.3028571428571 & 2.027924501947 & 44.0365788061231 \tabularnewline
Winsorized Mean ( 23 / 58 ) & 89.4342857142857 & 2.01452031381392 & 44.394829429626 \tabularnewline
Winsorized Mean ( 24 / 58 ) & 89.4342857142857 & 2.01452031381392 & 44.394829429626 \tabularnewline
Winsorized Mean ( 25 / 58 ) & 89.5771428571429 & 2.0002028515472 & 44.7840291737675 \tabularnewline
Winsorized Mean ( 26 / 58 ) & 89.28 & 1.96699599257629 & 45.3890096049789 \tabularnewline
Winsorized Mean ( 27 / 58 ) & 89.28 & 1.96699599257629 & 45.3890096049789 \tabularnewline
Winsorized Mean ( 28 / 58 ) & 89.12 & 1.94948083695679 & 45.7147350774269 \tabularnewline
Winsorized Mean ( 29 / 58 ) & 88.9542857142857 & 1.89725957660218 & 46.8856696317722 \tabularnewline
Winsorized Mean ( 30 / 58 ) & 89.1257142857143 & 1.8802860618554 & 47.4000824096777 \tabularnewline
Winsorized Mean ( 31 / 58 ) & 89.1257142857143 & 1.8802860618554 & 47.4000824096777 \tabularnewline
Winsorized Mean ( 32 / 58 ) & 89.1257142857143 & 1.84302915402471 & 48.3582769654437 \tabularnewline
Winsorized Mean ( 33 / 58 ) & 88.7485714285714 & 1.80372663982845 & 49.2028944236318 \tabularnewline
Winsorized Mean ( 34 / 58 ) & 88.5542857142857 & 1.70713978605161 & 51.8728966648362 \tabularnewline
Winsorized Mean ( 35 / 58 ) & 88.5542857142857 & 1.70713978605161 & 51.8728966648362 \tabularnewline
Winsorized Mean ( 36 / 58 ) & 88.76 & 1.68752712074539 & 52.5976731922354 \tabularnewline
Winsorized Mean ( 37 / 58 ) & 89.1828571428571 & 1.64822787426329 & 54.1083296402322 \tabularnewline
Winsorized Mean ( 38 / 58 ) & 88.9657142857143 & 1.62656310357407 & 54.6955197066923 \tabularnewline
Winsorized Mean ( 39 / 58 ) & 89.4114285714286 & 1.5863992662471 & 56.3612392376774 \tabularnewline
Winsorized Mean ( 40 / 58 ) & 89.1828571428571 & 1.56371151858244 & 57.032806935965 \tabularnewline
Winsorized Mean ( 41 / 58 ) & 89.1828571428571 & 1.56371151858244 & 57.032806935965 \tabularnewline
Winsorized Mean ( 42 / 58 ) & 88.9428571428571 & 1.54021546028026 & 57.747022696859 \tabularnewline
Winsorized Mean ( 43 / 58 ) & 88.9428571428571 & 1.54021546028026 & 57.747022696859 \tabularnewline
Winsorized Mean ( 44 / 58 ) & 88.44 & 1.44573570341814 & 61.1730067887944 \tabularnewline
Winsorized Mean ( 45 / 58 ) & 88.44 & 1.44573570341814 & 61.1730067887944 \tabularnewline
Winsorized Mean ( 46 / 58 ) & 88.7028571428571 & 1.42248595470891 & 62.3576330221192 \tabularnewline
Winsorized Mean ( 47 / 58 ) & 88.1657142857143 & 1.37264136303614 & 64.2306990448699 \tabularnewline
Winsorized Mean ( 48 / 58 ) & 88.1657142857143 & 1.37264136303614 & 64.2306990448699 \tabularnewline
Winsorized Mean ( 49 / 58 ) & 87.8857142857143 & 1.34723111151708 & 65.2343265638726 \tabularnewline
Winsorized Mean ( 50 / 58 ) & 88.4571428571429 & 1.29712867913231 & 68.1945779784272 \tabularnewline
Winsorized Mean ( 51 / 58 ) & 88.1657142857143 & 1.27079347987640 & 69.3784754815469 \tabularnewline
Winsorized Mean ( 52 / 58 ) & 88.4628571428571 & 1.24525382791695 & 71.0400202429707 \tabularnewline
Winsorized Mean ( 53 / 58 ) & 88.4628571428571 & 1.24525382791695 & 71.0400202429707 \tabularnewline
Winsorized Mean ( 54 / 58 ) & 88.4628571428571 & 1.24525382791695 & 71.0400202429707 \tabularnewline
Winsorized Mean ( 55 / 58 ) & 88.7771428571429 & 1.21868739546407 & 72.8465258503283 \tabularnewline
Winsorized Mean ( 56 / 58 ) & 88.4571428571429 & 1.18985073882016 & 74.343058310705 \tabularnewline
Winsorized Mean ( 57 / 58 ) & 88.1314285714286 & 1.16085548465408 & 75.9193799197928 \tabularnewline
Winsorized Mean ( 58 / 58 ) & 88.7942857142857 & 1.10551081574739 & 80.3196897302679 \tabularnewline
Trimmed Mean ( 1 / 58 ) & 92.092485549133 & 2.76593089463812 & 33.2952951672286 \tabularnewline
Trimmed Mean ( 2 / 58 ) & 91.6549707602339 & 2.66323723802336 & 34.4148727915279 \tabularnewline
Trimmed Mean ( 3 / 58 ) & 91.224852071006 & 2.55844239477191 & 35.6564026055153 \tabularnewline
Trimmed Mean ( 4 / 58 ) & 90.8263473053892 & 2.45867631985025 & 36.9411567403558 \tabularnewline
Trimmed Mean ( 5 / 58 ) & 90.4424242424242 & 2.36957419302637 & 38.1682179475938 \tabularnewline
Trimmed Mean ( 6 / 58 ) & 90.2638036809816 & 2.32969216694682 & 38.7449487797681 \tabularnewline
Trimmed Mean ( 7 / 58 ) & 90.080745341615 & 2.28874465773907 & 39.3581455393109 \tabularnewline
Trimmed Mean ( 8 / 58 ) & 89.9119496855346 & 2.25066016812956 & 39.9491451258309 \tabularnewline
Trimmed Mean ( 9 / 58 ) & 89.7643312101911 & 2.21690718256291 & 40.4907936228602 \tabularnewline
Trimmed Mean ( 10 / 58 ) & 89.6193548387097 & 2.18386648134841 & 41.0370119254612 \tabularnewline
Trimmed Mean ( 11 / 58 ) & 89.4901960784314 & 2.15203277569988 & 41.5840302661411 \tabularnewline
Trimmed Mean ( 12 / 58 ) & 89.3774834437086 & 2.12365509648275 & 42.0866286581742 \tabularnewline
Trimmed Mean ( 13 / 58 ) & 89.2818791946309 & 2.09672424100071 & 42.5816029827647 \tabularnewline
Trimmed Mean ( 14 / 58 ) & 89.21768707483 & 2.073716418969 & 43.0230894922395 \tabularnewline
Trimmed Mean ( 15 / 58 ) & 89.1586206896552 & 2.04994336577384 & 43.4932116556296 \tabularnewline
Trimmed Mean ( 16 / 58 ) & 89.0909090909091 & 2.02512799961973 & 43.9927298954132 \tabularnewline
Trimmed Mean ( 17 / 58 ) & 89.0283687943262 & 2.00174552153108 & 44.4753680409040 \tabularnewline
Trimmed Mean ( 18 / 58 ) & 88.978417266187 & 1.97883882865177 & 44.9649642900983 \tabularnewline
Trimmed Mean ( 19 / 58 ) & 88.9197080291971 & 1.95966350790330 & 45.3749879357271 \tabularnewline
Trimmed Mean ( 20 / 58 ) & 88.8518518518518 & 1.93973659454601 & 45.8061430101788 \tabularnewline
Trimmed Mean ( 21 / 58 ) & 88.7894736842105 & 1.91925323893626 & 46.2625107947826 \tabularnewline
Trimmed Mean ( 22 / 58 ) & 88.732824427481 & 1.90063884020046 & 46.6857892992033 \tabularnewline
Trimmed Mean ( 23 / 58 ) & 88.6976744186046 & 1.88420237411574 & 47.0743884187231 \tabularnewline
Trimmed Mean ( 24 / 58 ) & 88.6535433070866 & 1.86724701570716 & 47.4782085933671 \tabularnewline
Trimmed Mean ( 25 / 58 ) & 88.608 & 1.84851801146477 & 47.9346154327091 \tabularnewline
Trimmed Mean ( 26 / 58 ) & 88.5528455284553 & 1.82906776930466 & 48.4141960262739 \tabularnewline
Trimmed Mean ( 27 / 58 ) & 88.5123966942149 & 1.81055657479526 & 48.8868439276602 \tabularnewline
Trimmed Mean ( 28 / 58 ) & 88.4705882352941 & 1.7900333167146 & 49.4239897152707 \tabularnewline
Trimmed Mean ( 29 / 58 ) & 88.4705882352941 & 1.76885591692652 & 50.0157120705549 \tabularnewline
Trimmed Mean ( 30 / 58 ) & 88.408695652174 & 1.74996548520715 & 50.5202510560992 \tabularnewline
Trimmed Mean ( 31 / 58 ) & 88.408695652174 & 1.73037098259296 & 51.0923360028226 \tabularnewline
Trimmed Mean ( 32 / 58 ) & 88.3333333333333 & 1.70850037137061 & 51.7022617106425 \tabularnewline
Trimmed Mean ( 33 / 58 ) & 88.2935779816514 & 1.68739922125386 & 52.3252451877054 \tabularnewline
Trimmed Mean ( 34 / 58 ) & 88.2710280373832 & 1.66734325208434 & 52.9411253064033 \tabularnewline
Trimmed Mean ( 35 / 58 ) & 88.2571428571429 & 1.65328115158787 & 53.3830212558691 \tabularnewline
Trimmed Mean ( 36 / 58 ) & 88.242718446602 & 1.63732787487697 & 53.8943481025342 \tabularnewline
Trimmed Mean ( 37 / 58 ) & 88.2178217821782 & 1.62093995224724 & 54.4238678674522 \tabularnewline
Trimmed Mean ( 38 / 58 ) & 88.1717171717172 & 1.60568976503236 & 54.9120503174786 \tabularnewline
Trimmed Mean ( 39 / 58 ) & 88.1340206185567 & 1.59025631092782 & 55.4212676364957 \tabularnewline
Trimmed Mean ( 40 / 58 ) & 88.0736842105263 & 1.57601295073600 & 55.8838581684215 \tabularnewline
Trimmed Mean ( 41 / 58 ) & 88.021505376344 & 1.56172505754326 & 56.3617167767098 \tabularnewline
Trimmed Mean ( 42 / 58 ) & 87.967032967033 & 1.54520413273834 & 56.9290691781558 \tabularnewline
Trimmed Mean ( 43 / 58 ) & 87.9213483146067 & 1.52843533918940 & 57.5237604498437 \tabularnewline
Trimmed Mean ( 44 / 58 ) & 87.8735632183908 & 1.50902166232275 & 58.2321416666295 \tabularnewline
Trimmed Mean ( 45 / 58 ) & 87.8735632183908 & 1.49588659922667 & 58.7434657572433 \tabularnewline
Trimmed Mean ( 46 / 58 ) & 87.8192771084337 & 1.4804182302452 & 59.3205861115938 \tabularnewline
Trimmed Mean ( 47 / 58 ) & 87.7777777777778 & 1.4644975542553 & 59.937128281797 \tabularnewline
Trimmed Mean ( 48 / 58 ) & 87.759493670886 & 1.45094124839293 & 60.4845260055078 \tabularnewline
Trimmed Mean ( 49 / 58 ) & 87.7402597402597 & 1.43477494804545 & 61.1526287518371 \tabularnewline
Trimmed Mean ( 50 / 58 ) & 87.7333333333333 & 1.41832706088957 & 61.8569128042351 \tabularnewline
Trimmed Mean ( 51 / 58 ) & 87.6986301369863 & 1.40404462113498 & 62.461426664698 \tabularnewline
Trimmed Mean ( 52 / 58 ) & 87.6760563380282 & 1.38978374298613 & 63.0861144983929 \tabularnewline
Trimmed Mean ( 53 / 58 ) & 87.6376811594203 & 1.37524252135302 & 63.7252555812475 \tabularnewline
Trimmed Mean ( 54 / 58 ) & 87.5970149253731 & 1.35743587622764 & 64.5312360306907 \tabularnewline
Trimmed Mean ( 55 / 58 ) & 87.5538461538462 & 1.33572055770809 & 65.5480262309326 \tabularnewline
Trimmed Mean ( 56 / 58 ) & 87.4920634920635 & 1.31260247270187 & 66.6554157192536 \tabularnewline
Trimmed Mean ( 57 / 58 ) & 87.4426229508197 & 1.28856352226394 & 67.86054504879 \tabularnewline
Trimmed Mean ( 58 / 58 ) & 87.4426229508197 & 1.26341281796874 & 69.2114419825233 \tabularnewline
Median & 87 &  &  \tabularnewline
Midrange & 148.5 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 86.6304347826087 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 87.2340425531915 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 87.2340425531915 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 87.2340425531915 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 87.8735632183908 &  &  \tabularnewline
Midmean - Closest Observation & 86.6304347826087 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 87.2340425531915 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 87.2340425531915 &  &  \tabularnewline
Number of observations & 175 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74520&T=1

[TABLE]
[ROW][C]Central Tendency - Ungrouped Data[/C][/ROW]
[ROW][C]Measure[/C][C]Value[/C][C]S.E.[/C][C]Value/S.E.[/C][/ROW]
[ROW][C]Arithmetic Mean[/C][C]92.7371428571429[/C][C]2.93341492220143[/C][C]31.6140557393588[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]85.505348023694[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]78.7726537204718[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]100.485990494766[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 58 )[/C][C]92.52[/C][C]2.85980972416986[/C][C]32.3518027154259[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 58 )[/C][C]92.4857142857143[/C][C]2.84634247654489[/C][C]32.4928272152199[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 58 )[/C][C]92.3657142857143[/C][C]2.80932410856877[/C][C]32.8782691907951[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 58 )[/C][C]92.2742857142857[/C][C]2.74649102467635[/C][C]33.5971553830800[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 58 )[/C][C]91.2742857142857[/C][C]2.52993139237126[/C][C]36.0777711164476[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 58 )[/C][C]91.2742857142857[/C][C]2.52002055329353[/C][C]36.2196592384912[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 58 )[/C][C]91.1542857142857[/C][C]2.48808546285428[/C][C]36.6363161857452[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 58 )[/C][C]90.9714285714286[/C][C]2.44551032711542[/C][C]37.1993638966691[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 58 )[/C][C]90.92[/C][C]2.42359013914514[/C][C]37.5145939618609[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 58 )[/C][C]90.7485714285714[/C][C]2.39715853374161[/C][C]37.8567250147308[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 58 )[/C][C]90.56[/C][C]2.35296773094259[/C][C]38.4875656427816[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 58 )[/C][C]90.3542857142857[/C][C]2.32362065506135[/C][C]38.8851276207562[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 58 )[/C][C]89.9828571428571[/C][C]2.27315993953794[/C][C]39.5849212269452[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 58 )[/C][C]89.9028571428571[/C][C]2.26270794485835[/C][C]39.7324176755323[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 58 )[/C][C]89.9885714285714[/C][C]2.25322958979556[/C][C]39.937595279288[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 58 )[/C][C]89.8971428571429[/C][C]2.21973643438633[/C][C]40.4990166690649[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 58 )[/C][C]89.7028571428571[/C][C]2.19535671044357[/C][C]40.8602650840887[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 58 )[/C][C]89.8057142857143[/C][C]2.13716349225657[/C][C]42.0209846420739[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 58 )[/C][C]89.9142857142857[/C][C]2.12593427185943[/C][C]42.2940101697702[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 58 )[/C][C]89.8[/C][C]2.11209667888390[/C][C]42.5169931366273[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 58 )[/C][C]89.68[/C][C]2.07129160976346[/C][C]43.2966558534176[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 58 )[/C][C]89.3028571428571[/C][C]2.027924501947[/C][C]44.0365788061231[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 58 )[/C][C]89.4342857142857[/C][C]2.01452031381392[/C][C]44.394829429626[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 58 )[/C][C]89.4342857142857[/C][C]2.01452031381392[/C][C]44.394829429626[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 58 )[/C][C]89.5771428571429[/C][C]2.0002028515472[/C][C]44.7840291737675[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 58 )[/C][C]89.28[/C][C]1.96699599257629[/C][C]45.3890096049789[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 58 )[/C][C]89.28[/C][C]1.96699599257629[/C][C]45.3890096049789[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 58 )[/C][C]89.12[/C][C]1.94948083695679[/C][C]45.7147350774269[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 58 )[/C][C]88.9542857142857[/C][C]1.89725957660218[/C][C]46.8856696317722[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 58 )[/C][C]89.1257142857143[/C][C]1.8802860618554[/C][C]47.4000824096777[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 58 )[/C][C]89.1257142857143[/C][C]1.8802860618554[/C][C]47.4000824096777[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 58 )[/C][C]89.1257142857143[/C][C]1.84302915402471[/C][C]48.3582769654437[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 58 )[/C][C]88.7485714285714[/C][C]1.80372663982845[/C][C]49.2028944236318[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 58 )[/C][C]88.5542857142857[/C][C]1.70713978605161[/C][C]51.8728966648362[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 58 )[/C][C]88.5542857142857[/C][C]1.70713978605161[/C][C]51.8728966648362[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 58 )[/C][C]88.76[/C][C]1.68752712074539[/C][C]52.5976731922354[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 58 )[/C][C]89.1828571428571[/C][C]1.64822787426329[/C][C]54.1083296402322[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 58 )[/C][C]88.9657142857143[/C][C]1.62656310357407[/C][C]54.6955197066923[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 58 )[/C][C]89.4114285714286[/C][C]1.5863992662471[/C][C]56.3612392376774[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 58 )[/C][C]89.1828571428571[/C][C]1.56371151858244[/C][C]57.032806935965[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 58 )[/C][C]89.1828571428571[/C][C]1.56371151858244[/C][C]57.032806935965[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 58 )[/C][C]88.9428571428571[/C][C]1.54021546028026[/C][C]57.747022696859[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 58 )[/C][C]88.9428571428571[/C][C]1.54021546028026[/C][C]57.747022696859[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 58 )[/C][C]88.44[/C][C]1.44573570341814[/C][C]61.1730067887944[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 58 )[/C][C]88.44[/C][C]1.44573570341814[/C][C]61.1730067887944[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 58 )[/C][C]88.7028571428571[/C][C]1.42248595470891[/C][C]62.3576330221192[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 58 )[/C][C]88.1657142857143[/C][C]1.37264136303614[/C][C]64.2306990448699[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 58 )[/C][C]88.1657142857143[/C][C]1.37264136303614[/C][C]64.2306990448699[/C][/ROW]
[ROW][C]Winsorized Mean ( 49 / 58 )[/C][C]87.8857142857143[/C][C]1.34723111151708[/C][C]65.2343265638726[/C][/ROW]
[ROW][C]Winsorized Mean ( 50 / 58 )[/C][C]88.4571428571429[/C][C]1.29712867913231[/C][C]68.1945779784272[/C][/ROW]
[ROW][C]Winsorized Mean ( 51 / 58 )[/C][C]88.1657142857143[/C][C]1.27079347987640[/C][C]69.3784754815469[/C][/ROW]
[ROW][C]Winsorized Mean ( 52 / 58 )[/C][C]88.4628571428571[/C][C]1.24525382791695[/C][C]71.0400202429707[/C][/ROW]
[ROW][C]Winsorized Mean ( 53 / 58 )[/C][C]88.4628571428571[/C][C]1.24525382791695[/C][C]71.0400202429707[/C][/ROW]
[ROW][C]Winsorized Mean ( 54 / 58 )[/C][C]88.4628571428571[/C][C]1.24525382791695[/C][C]71.0400202429707[/C][/ROW]
[ROW][C]Winsorized Mean ( 55 / 58 )[/C][C]88.7771428571429[/C][C]1.21868739546407[/C][C]72.8465258503283[/C][/ROW]
[ROW][C]Winsorized Mean ( 56 / 58 )[/C][C]88.4571428571429[/C][C]1.18985073882016[/C][C]74.343058310705[/C][/ROW]
[ROW][C]Winsorized Mean ( 57 / 58 )[/C][C]88.1314285714286[/C][C]1.16085548465408[/C][C]75.9193799197928[/C][/ROW]
[ROW][C]Winsorized Mean ( 58 / 58 )[/C][C]88.7942857142857[/C][C]1.10551081574739[/C][C]80.3196897302679[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 58 )[/C][C]92.092485549133[/C][C]2.76593089463812[/C][C]33.2952951672286[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 58 )[/C][C]91.6549707602339[/C][C]2.66323723802336[/C][C]34.4148727915279[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 58 )[/C][C]91.224852071006[/C][C]2.55844239477191[/C][C]35.6564026055153[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 58 )[/C][C]90.8263473053892[/C][C]2.45867631985025[/C][C]36.9411567403558[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 58 )[/C][C]90.4424242424242[/C][C]2.36957419302637[/C][C]38.1682179475938[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 58 )[/C][C]90.2638036809816[/C][C]2.32969216694682[/C][C]38.7449487797681[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 58 )[/C][C]90.080745341615[/C][C]2.28874465773907[/C][C]39.3581455393109[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 58 )[/C][C]89.9119496855346[/C][C]2.25066016812956[/C][C]39.9491451258309[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 58 )[/C][C]89.7643312101911[/C][C]2.21690718256291[/C][C]40.4907936228602[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 58 )[/C][C]89.6193548387097[/C][C]2.18386648134841[/C][C]41.0370119254612[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 58 )[/C][C]89.4901960784314[/C][C]2.15203277569988[/C][C]41.5840302661411[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 58 )[/C][C]89.3774834437086[/C][C]2.12365509648275[/C][C]42.0866286581742[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 58 )[/C][C]89.2818791946309[/C][C]2.09672424100071[/C][C]42.5816029827647[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 58 )[/C][C]89.21768707483[/C][C]2.073716418969[/C][C]43.0230894922395[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 58 )[/C][C]89.1586206896552[/C][C]2.04994336577384[/C][C]43.4932116556296[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 58 )[/C][C]89.0909090909091[/C][C]2.02512799961973[/C][C]43.9927298954132[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 58 )[/C][C]89.0283687943262[/C][C]2.00174552153108[/C][C]44.4753680409040[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 58 )[/C][C]88.978417266187[/C][C]1.97883882865177[/C][C]44.9649642900983[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 58 )[/C][C]88.9197080291971[/C][C]1.95966350790330[/C][C]45.3749879357271[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 58 )[/C][C]88.8518518518518[/C][C]1.93973659454601[/C][C]45.8061430101788[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 58 )[/C][C]88.7894736842105[/C][C]1.91925323893626[/C][C]46.2625107947826[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 58 )[/C][C]88.732824427481[/C][C]1.90063884020046[/C][C]46.6857892992033[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 58 )[/C][C]88.6976744186046[/C][C]1.88420237411574[/C][C]47.0743884187231[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 58 )[/C][C]88.6535433070866[/C][C]1.86724701570716[/C][C]47.4782085933671[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 58 )[/C][C]88.608[/C][C]1.84851801146477[/C][C]47.9346154327091[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 58 )[/C][C]88.5528455284553[/C][C]1.82906776930466[/C][C]48.4141960262739[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 58 )[/C][C]88.5123966942149[/C][C]1.81055657479526[/C][C]48.8868439276602[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 58 )[/C][C]88.4705882352941[/C][C]1.7900333167146[/C][C]49.4239897152707[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 58 )[/C][C]88.4705882352941[/C][C]1.76885591692652[/C][C]50.0157120705549[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 58 )[/C][C]88.408695652174[/C][C]1.74996548520715[/C][C]50.5202510560992[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 58 )[/C][C]88.408695652174[/C][C]1.73037098259296[/C][C]51.0923360028226[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 58 )[/C][C]88.3333333333333[/C][C]1.70850037137061[/C][C]51.7022617106425[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 58 )[/C][C]88.2935779816514[/C][C]1.68739922125386[/C][C]52.3252451877054[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 58 )[/C][C]88.2710280373832[/C][C]1.66734325208434[/C][C]52.9411253064033[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 58 )[/C][C]88.2571428571429[/C][C]1.65328115158787[/C][C]53.3830212558691[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 58 )[/C][C]88.242718446602[/C][C]1.63732787487697[/C][C]53.8943481025342[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 58 )[/C][C]88.2178217821782[/C][C]1.62093995224724[/C][C]54.4238678674522[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 58 )[/C][C]88.1717171717172[/C][C]1.60568976503236[/C][C]54.9120503174786[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 58 )[/C][C]88.1340206185567[/C][C]1.59025631092782[/C][C]55.4212676364957[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 58 )[/C][C]88.0736842105263[/C][C]1.57601295073600[/C][C]55.8838581684215[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 58 )[/C][C]88.021505376344[/C][C]1.56172505754326[/C][C]56.3617167767098[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 58 )[/C][C]87.967032967033[/C][C]1.54520413273834[/C][C]56.9290691781558[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 58 )[/C][C]87.9213483146067[/C][C]1.52843533918940[/C][C]57.5237604498437[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 58 )[/C][C]87.8735632183908[/C][C]1.50902166232275[/C][C]58.2321416666295[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 58 )[/C][C]87.8735632183908[/C][C]1.49588659922667[/C][C]58.7434657572433[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 58 )[/C][C]87.8192771084337[/C][C]1.4804182302452[/C][C]59.3205861115938[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 58 )[/C][C]87.7777777777778[/C][C]1.4644975542553[/C][C]59.937128281797[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 58 )[/C][C]87.759493670886[/C][C]1.45094124839293[/C][C]60.4845260055078[/C][/ROW]
[ROW][C]Trimmed Mean ( 49 / 58 )[/C][C]87.7402597402597[/C][C]1.43477494804545[/C][C]61.1526287518371[/C][/ROW]
[ROW][C]Trimmed Mean ( 50 / 58 )[/C][C]87.7333333333333[/C][C]1.41832706088957[/C][C]61.8569128042351[/C][/ROW]
[ROW][C]Trimmed Mean ( 51 / 58 )[/C][C]87.6986301369863[/C][C]1.40404462113498[/C][C]62.461426664698[/C][/ROW]
[ROW][C]Trimmed Mean ( 52 / 58 )[/C][C]87.6760563380282[/C][C]1.38978374298613[/C][C]63.0861144983929[/C][/ROW]
[ROW][C]Trimmed Mean ( 53 / 58 )[/C][C]87.6376811594203[/C][C]1.37524252135302[/C][C]63.7252555812475[/C][/ROW]
[ROW][C]Trimmed Mean ( 54 / 58 )[/C][C]87.5970149253731[/C][C]1.35743587622764[/C][C]64.5312360306907[/C][/ROW]
[ROW][C]Trimmed Mean ( 55 / 58 )[/C][C]87.5538461538462[/C][C]1.33572055770809[/C][C]65.5480262309326[/C][/ROW]
[ROW][C]Trimmed Mean ( 56 / 58 )[/C][C]87.4920634920635[/C][C]1.31260247270187[/C][C]66.6554157192536[/C][/ROW]
[ROW][C]Trimmed Mean ( 57 / 58 )[/C][C]87.4426229508197[/C][C]1.28856352226394[/C][C]67.86054504879[/C][/ROW]
[ROW][C]Trimmed Mean ( 58 / 58 )[/C][C]87.4426229508197[/C][C]1.26341281796874[/C][C]69.2114419825233[/C][/ROW]
[ROW][C]Median[/C][C]87[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]148.5[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]86.6304347826087[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]87.2340425531915[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]87.2340425531915[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]87.2340425531915[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]87.8735632183908[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]86.6304347826087[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]87.2340425531915[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]87.2340425531915[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]175[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74520&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74520&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean92.73714285714292.9334149222014331.6140557393588
Geometric Mean85.505348023694
Harmonic Mean78.7726537204718
Quadratic Mean100.485990494766
Winsorized Mean ( 1 / 58 )92.522.8598097241698632.3518027154259
Winsorized Mean ( 2 / 58 )92.48571428571432.8463424765448932.4928272152199
Winsorized Mean ( 3 / 58 )92.36571428571432.8093241085687732.8782691907951
Winsorized Mean ( 4 / 58 )92.27428571428572.7464910246763533.5971553830800
Winsorized Mean ( 5 / 58 )91.27428571428572.5299313923712636.0777711164476
Winsorized Mean ( 6 / 58 )91.27428571428572.5200205532935336.2196592384912
Winsorized Mean ( 7 / 58 )91.15428571428572.4880854628542836.6363161857452
Winsorized Mean ( 8 / 58 )90.97142857142862.4455103271154237.1993638966691
Winsorized Mean ( 9 / 58 )90.922.4235901391451437.5145939618609
Winsorized Mean ( 10 / 58 )90.74857142857142.3971585337416137.8567250147308
Winsorized Mean ( 11 / 58 )90.562.3529677309425938.4875656427816
Winsorized Mean ( 12 / 58 )90.35428571428572.3236206550613538.8851276207562
Winsorized Mean ( 13 / 58 )89.98285714285712.2731599395379439.5849212269452
Winsorized Mean ( 14 / 58 )89.90285714285712.2627079448583539.7324176755323
Winsorized Mean ( 15 / 58 )89.98857142857142.2532295897955639.937595279288
Winsorized Mean ( 16 / 58 )89.89714285714292.2197364343863340.4990166690649
Winsorized Mean ( 17 / 58 )89.70285714285712.1953567104435740.8602650840887
Winsorized Mean ( 18 / 58 )89.80571428571432.1371634922565742.0209846420739
Winsorized Mean ( 19 / 58 )89.91428571428572.1259342718594342.2940101697702
Winsorized Mean ( 20 / 58 )89.82.1120966788839042.5169931366273
Winsorized Mean ( 21 / 58 )89.682.0712916097634643.2966558534176
Winsorized Mean ( 22 / 58 )89.30285714285712.02792450194744.0365788061231
Winsorized Mean ( 23 / 58 )89.43428571428572.0145203138139244.394829429626
Winsorized Mean ( 24 / 58 )89.43428571428572.0145203138139244.394829429626
Winsorized Mean ( 25 / 58 )89.57714285714292.000202851547244.7840291737675
Winsorized Mean ( 26 / 58 )89.281.9669959925762945.3890096049789
Winsorized Mean ( 27 / 58 )89.281.9669959925762945.3890096049789
Winsorized Mean ( 28 / 58 )89.121.9494808369567945.7147350774269
Winsorized Mean ( 29 / 58 )88.95428571428571.8972595766021846.8856696317722
Winsorized Mean ( 30 / 58 )89.12571428571431.880286061855447.4000824096777
Winsorized Mean ( 31 / 58 )89.12571428571431.880286061855447.4000824096777
Winsorized Mean ( 32 / 58 )89.12571428571431.8430291540247148.3582769654437
Winsorized Mean ( 33 / 58 )88.74857142857141.8037266398284549.2028944236318
Winsorized Mean ( 34 / 58 )88.55428571428571.7071397860516151.8728966648362
Winsorized Mean ( 35 / 58 )88.55428571428571.7071397860516151.8728966648362
Winsorized Mean ( 36 / 58 )88.761.6875271207453952.5976731922354
Winsorized Mean ( 37 / 58 )89.18285714285711.6482278742632954.1083296402322
Winsorized Mean ( 38 / 58 )88.96571428571431.6265631035740754.6955197066923
Winsorized Mean ( 39 / 58 )89.41142857142861.586399266247156.3612392376774
Winsorized Mean ( 40 / 58 )89.18285714285711.5637115185824457.032806935965
Winsorized Mean ( 41 / 58 )89.18285714285711.5637115185824457.032806935965
Winsorized Mean ( 42 / 58 )88.94285714285711.5402154602802657.747022696859
Winsorized Mean ( 43 / 58 )88.94285714285711.5402154602802657.747022696859
Winsorized Mean ( 44 / 58 )88.441.4457357034181461.1730067887944
Winsorized Mean ( 45 / 58 )88.441.4457357034181461.1730067887944
Winsorized Mean ( 46 / 58 )88.70285714285711.4224859547089162.3576330221192
Winsorized Mean ( 47 / 58 )88.16571428571431.3726413630361464.2306990448699
Winsorized Mean ( 48 / 58 )88.16571428571431.3726413630361464.2306990448699
Winsorized Mean ( 49 / 58 )87.88571428571431.3472311115170865.2343265638726
Winsorized Mean ( 50 / 58 )88.45714285714291.2971286791323168.1945779784272
Winsorized Mean ( 51 / 58 )88.16571428571431.2707934798764069.3784754815469
Winsorized Mean ( 52 / 58 )88.46285714285711.2452538279169571.0400202429707
Winsorized Mean ( 53 / 58 )88.46285714285711.2452538279169571.0400202429707
Winsorized Mean ( 54 / 58 )88.46285714285711.2452538279169571.0400202429707
Winsorized Mean ( 55 / 58 )88.77714285714291.2186873954640772.8465258503283
Winsorized Mean ( 56 / 58 )88.45714285714291.1898507388201674.343058310705
Winsorized Mean ( 57 / 58 )88.13142857142861.1608554846540875.9193799197928
Winsorized Mean ( 58 / 58 )88.79428571428571.1055108157473980.3196897302679
Trimmed Mean ( 1 / 58 )92.0924855491332.7659308946381233.2952951672286
Trimmed Mean ( 2 / 58 )91.65497076023392.6632372380233634.4148727915279
Trimmed Mean ( 3 / 58 )91.2248520710062.5584423947719135.6564026055153
Trimmed Mean ( 4 / 58 )90.82634730538922.4586763198502536.9411567403558
Trimmed Mean ( 5 / 58 )90.44242424242422.3695741930263738.1682179475938
Trimmed Mean ( 6 / 58 )90.26380368098162.3296921669468238.7449487797681
Trimmed Mean ( 7 / 58 )90.0807453416152.2887446577390739.3581455393109
Trimmed Mean ( 8 / 58 )89.91194968553462.2506601681295639.9491451258309
Trimmed Mean ( 9 / 58 )89.76433121019112.2169071825629140.4907936228602
Trimmed Mean ( 10 / 58 )89.61935483870972.1838664813484141.0370119254612
Trimmed Mean ( 11 / 58 )89.49019607843142.1520327756998841.5840302661411
Trimmed Mean ( 12 / 58 )89.37748344370862.1236550964827542.0866286581742
Trimmed Mean ( 13 / 58 )89.28187919463092.0967242410007142.5816029827647
Trimmed Mean ( 14 / 58 )89.217687074832.07371641896943.0230894922395
Trimmed Mean ( 15 / 58 )89.15862068965522.0499433657738443.4932116556296
Trimmed Mean ( 16 / 58 )89.09090909090912.0251279996197343.9927298954132
Trimmed Mean ( 17 / 58 )89.02836879432622.0017455215310844.4753680409040
Trimmed Mean ( 18 / 58 )88.9784172661871.9788388286517744.9649642900983
Trimmed Mean ( 19 / 58 )88.91970802919711.9596635079033045.3749879357271
Trimmed Mean ( 20 / 58 )88.85185185185181.9397365945460145.8061430101788
Trimmed Mean ( 21 / 58 )88.78947368421051.9192532389362646.2625107947826
Trimmed Mean ( 22 / 58 )88.7328244274811.9006388402004646.6857892992033
Trimmed Mean ( 23 / 58 )88.69767441860461.8842023741157447.0743884187231
Trimmed Mean ( 24 / 58 )88.65354330708661.8672470157071647.4782085933671
Trimmed Mean ( 25 / 58 )88.6081.8485180114647747.9346154327091
Trimmed Mean ( 26 / 58 )88.55284552845531.8290677693046648.4141960262739
Trimmed Mean ( 27 / 58 )88.51239669421491.8105565747952648.8868439276602
Trimmed Mean ( 28 / 58 )88.47058823529411.790033316714649.4239897152707
Trimmed Mean ( 29 / 58 )88.47058823529411.7688559169265250.0157120705549
Trimmed Mean ( 30 / 58 )88.4086956521741.7499654852071550.5202510560992
Trimmed Mean ( 31 / 58 )88.4086956521741.7303709825929651.0923360028226
Trimmed Mean ( 32 / 58 )88.33333333333331.7085003713706151.7022617106425
Trimmed Mean ( 33 / 58 )88.29357798165141.6873992212538652.3252451877054
Trimmed Mean ( 34 / 58 )88.27102803738321.6673432520843452.9411253064033
Trimmed Mean ( 35 / 58 )88.25714285714291.6532811515878753.3830212558691
Trimmed Mean ( 36 / 58 )88.2427184466021.6373278748769753.8943481025342
Trimmed Mean ( 37 / 58 )88.21782178217821.6209399522472454.4238678674522
Trimmed Mean ( 38 / 58 )88.17171717171721.6056897650323654.9120503174786
Trimmed Mean ( 39 / 58 )88.13402061855671.5902563109278255.4212676364957
Trimmed Mean ( 40 / 58 )88.07368421052631.5760129507360055.8838581684215
Trimmed Mean ( 41 / 58 )88.0215053763441.5617250575432656.3617167767098
Trimmed Mean ( 42 / 58 )87.9670329670331.5452041327383456.9290691781558
Trimmed Mean ( 43 / 58 )87.92134831460671.5284353391894057.5237604498437
Trimmed Mean ( 44 / 58 )87.87356321839081.5090216623227558.2321416666295
Trimmed Mean ( 45 / 58 )87.87356321839081.4958865992266758.7434657572433
Trimmed Mean ( 46 / 58 )87.81927710843371.480418230245259.3205861115938
Trimmed Mean ( 47 / 58 )87.77777777777781.464497554255359.937128281797
Trimmed Mean ( 48 / 58 )87.7594936708861.4509412483929360.4845260055078
Trimmed Mean ( 49 / 58 )87.74025974025971.4347749480454561.1526287518371
Trimmed Mean ( 50 / 58 )87.73333333333331.4183270608895761.8569128042351
Trimmed Mean ( 51 / 58 )87.69863013698631.4040446211349862.461426664698
Trimmed Mean ( 52 / 58 )87.67605633802821.3897837429861363.0861144983929
Trimmed Mean ( 53 / 58 )87.63768115942031.3752425213530263.7252555812475
Trimmed Mean ( 54 / 58 )87.59701492537311.3574358762276464.5312360306907
Trimmed Mean ( 55 / 58 )87.55384615384621.3357205577080965.5480262309326
Trimmed Mean ( 56 / 58 )87.49206349206351.3126024727018766.6554157192536
Trimmed Mean ( 57 / 58 )87.44262295081971.2885635222639467.86054504879
Trimmed Mean ( 58 / 58 )87.44262295081971.2634128179687469.2114419825233
Median87
Midrange148.5
Midmean - Weighted Average at Xnp86.6304347826087
Midmean - Weighted Average at X(n+1)p87.2340425531915
Midmean - Empirical Distribution Function87.2340425531915
Midmean - Empirical Distribution Function - Averaging87.2340425531915
Midmean - Empirical Distribution Function - Interpolation87.8735632183908
Midmean - Closest Observation86.6304347826087
Midmean - True Basic - Statistics Graphics Toolkit87.2340425531915
Midmean - MS Excel (old versions)87.2340425531915
Number of observations175



Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
geomean <- function(x) {
return(exp(mean(log(x))))
}
harmean <- function(x) {
return(1/mean(1/x))
}
quamean <- function(x) {
return(sqrt(mean(x*x)))
}
winmean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
win <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
win[j,1] <- (j*x[j+1]+sum(x[(j+1):(n-j)])+j*x[n-j])/n
win[j,2] <- sd(c(rep(x[j+1],j),x[(j+1):(n-j)],rep(x[n-j],j)))/sqrtn
}
return(win)
}
trimean <- function(x) {
x <-sort(x[!is.na(x)])
n<-length(x)
denom <- 3
nodenom <- n/denom
if (nodenom>40) denom <- n/40
sqrtn = sqrt(n)
roundnodenom = floor(nodenom)
tri <- array(NA,dim=c(roundnodenom,2))
for (j in 1:roundnodenom) {
tri[j,1] <- mean(x,trim=j/n)
tri[j,2] <- sd(x[(j+1):(n-j)]) / sqrt(n-j*2)
}
return(tri)
}
midrange <- function(x) {
return((max(x)+min(x))/2)
}
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
midmean <- function(x,def) {
x <-sort(x[!is.na(x)])
n<-length(x)
if (def==1) {
qvalue1 <- q1(x,n,0.25,i,f)
qvalue3 <- q1(x,n,0.75,i,f)
}
if (def==2) {
qvalue1 <- q2(x,n,0.25,i,f)
qvalue3 <- q2(x,n,0.75,i,f)
}
if (def==3) {
qvalue1 <- q3(x,n,0.25,i,f)
qvalue3 <- q3(x,n,0.75,i,f)
}
if (def==4) {
qvalue1 <- q4(x,n,0.25,i,f)
qvalue3 <- q4(x,n,0.75,i,f)
}
if (def==5) {
qvalue1 <- q5(x,n,0.25,i,f)
qvalue3 <- q5(x,n,0.75,i,f)
}
if (def==6) {
qvalue1 <- q6(x,n,0.25,i,f)
qvalue3 <- q6(x,n,0.75,i,f)
}
if (def==7) {
qvalue1 <- q7(x,n,0.25,i,f)
qvalue3 <- q7(x,n,0.75,i,f)
}
if (def==8) {
qvalue1 <- q8(x,n,0.25,i,f)
qvalue3 <- q8(x,n,0.75,i,f)
}
midm <- 0
myn <- 0
roundno4 <- round(n/4)
round3no4 <- round(3*n/4)
for (i in 1:n) {
if ((x[i]>=qvalue1) & (x[i]<=qvalue3)){
midm = midm + x[i]
myn = myn + 1
}
}
midm = midm / myn
return(midm)
}
(arm <- mean(x))
sqrtn <- sqrt(length(x))
(armse <- sd(x) / sqrtn)
(armose <- arm / armse)
(geo <- geomean(x))
(har <- harmean(x))
(qua <- quamean(x))
(win <- winmean(x))
(tri <- trimean(x))
(midr <- midrange(x))
midm <- array(NA,dim=8)
for (j in 1:8) midm[j] <- midmean(x,j)
midm
bitmap(file='test1.png')
lb <- win[,1] - 2*win[,2]
ub <- win[,1] + 2*win[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(win[,1],type='b',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(win[,1],type='l',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
bitmap(file='test2.png')
lb <- tri[,1] - 2*tri[,2]
ub <- tri[,1] + 2*tri[,2]
if ((ylimmin == '') | (ylimmax == '')) plot(tri[,1],type='b',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(tri[,1],type='l',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(ylimmin,ylimmax))
lines(ub,lty=3)
lines(lb,lty=3)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Central Tendency - Ungrouped Data',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Measure',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.element(a,'S.E.',header=TRUE)
a<-table.element(a,'Value/S.E.',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm', 'Arithmetic Mean', 'click to view the definition of the Arithmetic Mean'),header=TRUE)
a<-table.element(a,arm)
a<-table.element(a,hyperlink('arithmetic_mean_standard_error.htm', armse, 'click to view the definition of the Standard Error of the Arithmetic Mean'))
a<-table.element(a,armose)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('geometric_mean.htm', 'Geometric Mean', 'click to view the definition of the Geometric Mean'),header=TRUE)
a<-table.element(a,geo)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('harmonic_mean.htm', 'Harmonic Mean', 'click to view the definition of the Harmonic Mean'),header=TRUE)
a<-table.element(a,har)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('quadratic_mean.htm', 'Quadratic Mean', 'click to view the definition of the Quadratic Mean'),header=TRUE)
a<-table.element(a,qua)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
for (j in 1:length(win[,1])) {
a<-table.row.start(a)
mylabel <- paste('Winsorized Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(win[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('winsorized_mean.htm', mylabel, 'click to view the definition of the Winsorized Mean'),header=TRUE)
a<-table.element(a,win[j,1])
a<-table.element(a,win[j,2])
a<-table.element(a,win[j,1]/win[j,2])
a<-table.row.end(a)
}
for (j in 1:length(tri[,1])) {
a<-table.row.start(a)
mylabel <- paste('Trimmed Mean (',j)
mylabel <- paste(mylabel,'/')
mylabel <- paste(mylabel,length(tri[,1]))
mylabel <- paste(mylabel,')')
a<-table.element(a,hyperlink('arithmetic_mean.htm', mylabel, 'click to view the definition of the Trimmed Mean'),header=TRUE)
a<-table.element(a,tri[j,1])
a<-table.element(a,tri[j,2])
a<-table.element(a,tri[j,1]/tri[j,2])
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,hyperlink('median_1.htm', 'Median', 'click to view the definition of the Median'),header=TRUE)
a<-table.element(a,median(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('midrange.htm', 'Midrange', 'click to view the definition of the Midrange'),header=TRUE)
a<-table.element(a,midr)
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_1.htm','Weighted Average at Xnp',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[1])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_2.htm','Weighted Average at X(n+1)p',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[2])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_3.htm','Empirical Distribution Function',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[3])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_4.htm','Empirical Distribution Function - Averaging',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[4])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_5.htm','Empirical Distribution Function - Interpolation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[5])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_6.htm','Closest Observation',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[6])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_7.htm','True Basic - Statistics Graphics Toolkit',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[7])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
mymid <- hyperlink('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('method_8.htm','MS Excel (old versions)',''),sep=' - ')
a<-table.element(a,mylabel,header=TRUE)
a<-table.element(a,midm[8])
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of observations',header=TRUE)
a<-table.element(a,length(x))
a<-table.element(a,'')
a<-table.element(a,'')
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')