Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationWed, 28 Apr 2010 18:41:52 +0000
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/Apr/28/t1272480177nihg5c09cjep891.htm/, Retrieved Thu, 28 Mar 2024 12:39:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=75008, Retrieved Thu, 28 Mar 2024 12:39:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP1W52
Estimated Impact107
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [jeroen Cornelisse...] [2010-04-28 18:41:52] [f3cdcbccc174fec74ce5399cef7e1772] [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




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=75008&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]2 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=75008&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=75008&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean93.00574712643682.9379277813267631.6569208125448
Geometric Mean85.8105348987817
Harmonic Mean79.0965171345831
Quadratic Mean100.713974192766
Winsorized Mean ( 1 / 58 )92.78735632183912.8636960683493032.4012584112405
Winsorized Mean ( 2 / 58 )92.75287356321842.8501100247394032.5436115652059
Winsorized Mean ( 3 / 58 )92.6321839080462.812777185095632.9326419450809
Winsorized Mean ( 4 / 58 )92.54022988505752.7493406074045133.6590634262735
Winsorized Mean ( 5 / 58 )91.53448275862072.5310200495015736.1650563679439
Winsorized Mean ( 6 / 58 )91.53448275862072.5209987357634336.3088173984750
Winsorized Mean ( 7 / 58 )91.41379310344832.4887775947047436.7303986093194
Winsorized Mean ( 8 / 58 )91.22988505747132.4458306813166137.3001638070716
Winsorized Mean ( 9 / 58 )91.17816091954022.423690717265837.6195528043279
Winsorized Mean ( 10 / 58 )91.00574712643682.3970600934584137.9655676446293
Winsorized Mean ( 11 / 58 )90.8160919540232.3524712862926438.6045485371871
Winsorized Mean ( 12 / 58 )90.60919540229892.3229079716309639.0067951502531
Winsorized Mean ( 13 / 58 )90.2356321839082.2720825867750039.714943774112
Winsorized Mean ( 14 / 58 )90.2356321839082.2525525653384140.0592792250119
Winsorized Mean ( 15 / 58 )90.32183908045982.2430691649690840.2670771329981
Winsorized Mean ( 16 / 58 )90.13793103448282.2193563953587340.6144462525195
Winsorized Mean ( 17 / 58 )90.2356321839082.1632538226487841.7129193251209
Winsorized Mean ( 18 / 58 )90.1321839080462.1269268155946542.3767208383457
Winsorized Mean ( 19 / 58 )90.1321839080462.1269268155946542.3767208383457
Winsorized Mean ( 20 / 58 )90.1321839080462.101155591403242.8964824293919
Winsorized Mean ( 21 / 58 )89.89080459770112.0724128128943.3749511866545
Winsorized Mean ( 22 / 58 )89.63793103448282.0157524430361744.4687200276777
Winsorized Mean ( 23 / 58 )89.63793103448282.0157524430361744.4687200276777
Winsorized Mean ( 24 / 58 )89.77586206896552.0017786475183944.848046601087
Winsorized Mean ( 25 / 58 )89.77586206896552.0017786475183944.848046601087
Winsorized Mean ( 26 / 58 )89.47701149425291.9683851668237245.4570645025928
Winsorized Mean ( 27 / 58 )89.47701149425291.9683851668237245.4570645025928
Winsorized Mean ( 28 / 58 )89.47701149425291.9345428188793846.2522776032862
Winsorized Mean ( 29 / 58 )89.31034482758621.8819845117822347.4554090474473
Winsorized Mean ( 30 / 58 )89.31034482758621.8819845117822347.4554090474473
Winsorized Mean ( 31 / 58 )89.48850574712641.8644472668255347.9973380526298
Winsorized Mean ( 32 / 58 )89.30459770114941.8449000279896448.4061988976516
Winsorized Mean ( 33 / 58 )89.30459770114941.7684443445306150.4989585775474
Winsorized Mean ( 34 / 58 )88.71839080459771.7090278132187451.9116132097977
Winsorized Mean ( 35 / 58 )88.9195402298851.6896515565858152.6259629586351
Winsorized Mean ( 36 / 58 )89.33333333333331.6508048611141254.1150171274895
Winsorized Mean ( 37 / 58 )89.33333333333331.6508048611141254.1150171274895
Winsorized Mean ( 38 / 58 )89.5517241379311.5892912270266956.3469568163843
Winsorized Mean ( 39 / 58 )89.5517241379311.5892912270266956.3469568163843
Winsorized Mean ( 40 / 58 )89.32183908045981.5665001001170357.020002152433
Winsorized Mean ( 41 / 58 )89.32183908045981.5665001001170357.020002152433
Winsorized Mean ( 42 / 58 )89.0804597701151.5428983436241657.7357932479669
Winsorized Mean ( 43 / 58 )89.32758620689661.5207938777309258.7374709452254
Winsorized Mean ( 44 / 58 )88.56896551724141.4482717095150161.154937250622
Winsorized Mean ( 45 / 58 )88.82758620689661.4251742953693362.3275247775058
Winsorized Mean ( 46 / 58 )88.82758620689661.4251742953693362.3275247775058
Winsorized Mean ( 47 / 58 )88.28735632183911.3751212603365164.203324367361
Winsorized Mean ( 48 / 58 )88.28735632183911.3751212603365164.203324367361
Winsorized Mean ( 49 / 58 )88.56896551724141.2997481703845468.143173835773
Winsorized Mean ( 50 / 58 )88.56896551724141.2997481703845468.143173835773
Winsorized Mean ( 51 / 58 )88.56896551724141.2478760430251170.9757720025877
Winsorized Mean ( 52 / 58 )88.56896551724141.2478760430251170.9757720025877
Winsorized Mean ( 53 / 58 )88.56896551724141.2478760430251170.9757720025877
Winsorized Mean ( 54 / 58 )88.87931034482761.2213967536417972.7685824281256
Winsorized Mean ( 55 / 58 )88.87931034482761.2213967536417972.7685824281256
Winsorized Mean ( 56 / 58 )88.55747126436781.1924469026134274.2653371569682
Winsorized Mean ( 57 / 58 )88.88505747126441.1081283081244780.2118823421307
Winsorized Mean ( 58 / 58 )88.88505747126441.1081283081244780.2118823421307
Trimmed Mean ( 1 / 58 )92.36046511627912.7689707116444033.3555225874633
Trimmed Mean ( 2 / 58 )91.92352941176472.6652943830577134.4890718248943
Trimmed Mean ( 3 / 58 )91.49404761904762.5594304314502935.7478158010347
Trimmed Mean ( 4 / 58 )91.09638554216872.4585683880768637.0526140269077
Trimmed Mean ( 5 / 58 )90.71341463414632.3684254826969638.3011478709686
Trimmed Mean ( 6 / 58 )90.5370370370372.3279397864152038.8914857529264
Trimmed Mean ( 7 / 58 )90.356252.286347690228539.5199078364890
Trimmed Mean ( 8 / 58 )90.18987341772152.2476151622327440.126919827382
Trimmed Mean ( 9 / 58 )90.04487179487182.2132270797624240.6848771272659
Trimmed Mean ( 10 / 58 )89.90259740259742.1795277431832141.2486593408967
Trimmed Mean ( 11 / 58 )89.77631578947372.1470065847699241.8146438983066
Trimmed Mean ( 12 / 58 )89.66666666666672.1179464678940842.3366067206713
Trimmed Mean ( 13 / 58 )89.57432432432432.0903056606042642.8522612805012
Trimmed Mean ( 14 / 58 )89.5136986301372.0665872433383443.3147445957993
Trimmed Mean ( 15 / 58 )89.45138888888892.0430684703135143.7828639561759
Trimmed Mean ( 16 / 58 )89.38028169014082.0185121770469644.2802786658946
Trimmed Mean ( 17 / 58 )89.32142857142861.9943720367268544.7867433590888
Trimmed Mean ( 18 / 58 )89.25362318840581.9738602155294345.2178034119128
Trimmed Mean ( 19 / 58 )89.19117647058821.9550926379235845.6199234453228
Trimmed Mean ( 20 / 58 )89.12686567164181.9345253278116346.0716974806755
Trimmed Mean ( 21 / 58 )89.0606060606061.9144542413710746.5201017271762
Trimmed Mean ( 22 / 58 )89.00769230769231.8951809757095146.9652732105808
Trimmed Mean ( 23 / 58 )88.968751.8792254717099947.3433078357775
Trimmed Mean ( 24 / 58 )88.92857142857141.8615978312355147.7700231147943
Trimmed Mean ( 25 / 58 )88.87903225806451.8433467359179248.2161226242691
Trimmed Mean ( 26 / 58 )88.8278688524591.8231561099328848.7220311900385
Trimmed Mean ( 27 / 58 )88.79166666666671.8038589134016149.2231770494891
Trimmed Mean ( 28 / 58 )88.75423728813561.7824590147232549.7931433794655
Trimmed Mean ( 29 / 58 )88.71551724137931.7617375075900550.3568306056769
Trimmed Mean ( 30 / 58 )88.68421052631581.7433670419582150.8695004505204
Trimmed Mean ( 31 / 58 )88.65178571428571.7228641591208651.4560508122258
Trimmed Mean ( 32 / 58 )88.6090909090911.7014979150893652.0771081311828
Trimmed Mean ( 33 / 58 )88.5740740740741.6794011785151352.7414623779104
Trimmed Mean ( 34 / 58 )88.53773584905661.6614748170013153.288641478691
Trimmed Mean ( 35 / 58 )88.52884615384621.6465591303980553.7659683879344
Trimmed Mean ( 36 / 58 )88.50980392156861.6313127667764454.256795952421
Trimmed Mean ( 37 / 58 )88.471.6172963472250554.7024051292744
Trimmed Mean ( 38 / 58 )88.42857142857141.6012697465381055.2240318158457
Trimmed Mean ( 39 / 58 )88.3751.588351926402155.6394326288791
Trimmed Mean ( 40 / 58 )88.31914893617021.5734305014479156.1315856371773
Trimmed Mean ( 41 / 58 )88.27173913043481.5583953595669956.6427117409807
Trimmed Mean ( 42 / 58 )88.22222222222221.5410146128114257.2494390960188
Trimmed Mean ( 43 / 58 )88.18181818181821.5232905740792757.8890329148911
Trimmed Mean ( 44 / 58 )88.12790697674421.5048300267718358.5633629106913
Trimmed Mean ( 45 / 58 )88.10714285714291.4907457748827359.1027285414066
Trimmed Mean ( 46 / 58 )88.07317073170731.4763803821382559.6547961468781
Trimmed Mean ( 47 / 58 )88.03751.4594133282446860.3238974841263
Trimmed Mean ( 48 / 58 )88.0256410256411.4447274998338060.9288886906131
Trimmed Mean ( 49 / 58 )88.01315789473681.4272404266475461.6666654415554
Trimmed Mean ( 50 / 58 )87.98648648648651.4145398833335862.2014886417575
Trimmed Mean ( 51 / 58 )87.98648648648651.3991162955418362.8871858378378
Trimmed Mean ( 52 / 58 )87.92857142857141.3863160632235863.4260640564983
Trimmed Mean ( 53 / 58 )87.89705882352941.3705704780922764.1317321717564
Trimmed Mean ( 54 / 58 )87.86363636363641.3513157472558165.0208040142106
Trimmed Mean ( 55 / 58 )87.81251.3310760282031865.9710626135596
Trimmed Mean ( 56 / 58 )87.7580645161291.3062687978847767.1822404839149
Trimmed Mean ( 57 / 58 )87.71666666666671.2802479603282668.515373103329
Trimmed Mean ( 58 / 58 )87.65517241379311.2602997857623869.5510492059386
Median87
Midrange148.5
Midmean - Weighted Average at Xnp87.8735632183908
Midmean - Weighted Average at X(n+1)p88.4831460674157
Midmean - Empirical Distribution Function88.4831460674157
Midmean - Empirical Distribution Function - Averaging88.4831460674157
Midmean - Empirical Distribution Function - Interpolation87.8735632183908
Midmean - Closest Observation88.4831460674157
Midmean - True Basic - Statistics Graphics Toolkit88.4831460674157
Midmean - MS Excel (old versions)88.4831460674157
Number of observations174

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 93.0057471264368 & 2.93792778132676 & 31.6569208125448 \tabularnewline
Geometric Mean & 85.8105348987817 &  &  \tabularnewline
Harmonic Mean & 79.0965171345831 &  &  \tabularnewline
Quadratic Mean & 100.713974192766 &  &  \tabularnewline
Winsorized Mean ( 1 / 58 ) & 92.7873563218391 & 2.86369606834930 & 32.4012584112405 \tabularnewline
Winsorized Mean ( 2 / 58 ) & 92.7528735632184 & 2.85011002473940 & 32.5436115652059 \tabularnewline
Winsorized Mean ( 3 / 58 ) & 92.632183908046 & 2.8127771850956 & 32.9326419450809 \tabularnewline
Winsorized Mean ( 4 / 58 ) & 92.5402298850575 & 2.74934060740451 & 33.6590634262735 \tabularnewline
Winsorized Mean ( 5 / 58 ) & 91.5344827586207 & 2.53102004950157 & 36.1650563679439 \tabularnewline
Winsorized Mean ( 6 / 58 ) & 91.5344827586207 & 2.52099873576343 & 36.3088173984750 \tabularnewline
Winsorized Mean ( 7 / 58 ) & 91.4137931034483 & 2.48877759470474 & 36.7303986093194 \tabularnewline
Winsorized Mean ( 8 / 58 ) & 91.2298850574713 & 2.44583068131661 & 37.3001638070716 \tabularnewline
Winsorized Mean ( 9 / 58 ) & 91.1781609195402 & 2.4236907172658 & 37.6195528043279 \tabularnewline
Winsorized Mean ( 10 / 58 ) & 91.0057471264368 & 2.39706009345841 & 37.9655676446293 \tabularnewline
Winsorized Mean ( 11 / 58 ) & 90.816091954023 & 2.35247128629264 & 38.6045485371871 \tabularnewline
Winsorized Mean ( 12 / 58 ) & 90.6091954022989 & 2.32290797163096 & 39.0067951502531 \tabularnewline
Winsorized Mean ( 13 / 58 ) & 90.235632183908 & 2.27208258677500 & 39.714943774112 \tabularnewline
Winsorized Mean ( 14 / 58 ) & 90.235632183908 & 2.25255256533841 & 40.0592792250119 \tabularnewline
Winsorized Mean ( 15 / 58 ) & 90.3218390804598 & 2.24306916496908 & 40.2670771329981 \tabularnewline
Winsorized Mean ( 16 / 58 ) & 90.1379310344828 & 2.21935639535873 & 40.6144462525195 \tabularnewline
Winsorized Mean ( 17 / 58 ) & 90.235632183908 & 2.16325382264878 & 41.7129193251209 \tabularnewline
Winsorized Mean ( 18 / 58 ) & 90.132183908046 & 2.12692681559465 & 42.3767208383457 \tabularnewline
Winsorized Mean ( 19 / 58 ) & 90.132183908046 & 2.12692681559465 & 42.3767208383457 \tabularnewline
Winsorized Mean ( 20 / 58 ) & 90.132183908046 & 2.1011555914032 & 42.8964824293919 \tabularnewline
Winsorized Mean ( 21 / 58 ) & 89.8908045977011 & 2.07241281289 & 43.3749511866545 \tabularnewline
Winsorized Mean ( 22 / 58 ) & 89.6379310344828 & 2.01575244303617 & 44.4687200276777 \tabularnewline
Winsorized Mean ( 23 / 58 ) & 89.6379310344828 & 2.01575244303617 & 44.4687200276777 \tabularnewline
Winsorized Mean ( 24 / 58 ) & 89.7758620689655 & 2.00177864751839 & 44.848046601087 \tabularnewline
Winsorized Mean ( 25 / 58 ) & 89.7758620689655 & 2.00177864751839 & 44.848046601087 \tabularnewline
Winsorized Mean ( 26 / 58 ) & 89.4770114942529 & 1.96838516682372 & 45.4570645025928 \tabularnewline
Winsorized Mean ( 27 / 58 ) & 89.4770114942529 & 1.96838516682372 & 45.4570645025928 \tabularnewline
Winsorized Mean ( 28 / 58 ) & 89.4770114942529 & 1.93454281887938 & 46.2522776032862 \tabularnewline
Winsorized Mean ( 29 / 58 ) & 89.3103448275862 & 1.88198451178223 & 47.4554090474473 \tabularnewline
Winsorized Mean ( 30 / 58 ) & 89.3103448275862 & 1.88198451178223 & 47.4554090474473 \tabularnewline
Winsorized Mean ( 31 / 58 ) & 89.4885057471264 & 1.86444726682553 & 47.9973380526298 \tabularnewline
Winsorized Mean ( 32 / 58 ) & 89.3045977011494 & 1.84490002798964 & 48.4061988976516 \tabularnewline
Winsorized Mean ( 33 / 58 ) & 89.3045977011494 & 1.76844434453061 & 50.4989585775474 \tabularnewline
Winsorized Mean ( 34 / 58 ) & 88.7183908045977 & 1.70902781321874 & 51.9116132097977 \tabularnewline
Winsorized Mean ( 35 / 58 ) & 88.919540229885 & 1.68965155658581 & 52.6259629586351 \tabularnewline
Winsorized Mean ( 36 / 58 ) & 89.3333333333333 & 1.65080486111412 & 54.1150171274895 \tabularnewline
Winsorized Mean ( 37 / 58 ) & 89.3333333333333 & 1.65080486111412 & 54.1150171274895 \tabularnewline
Winsorized Mean ( 38 / 58 ) & 89.551724137931 & 1.58929122702669 & 56.3469568163843 \tabularnewline
Winsorized Mean ( 39 / 58 ) & 89.551724137931 & 1.58929122702669 & 56.3469568163843 \tabularnewline
Winsorized Mean ( 40 / 58 ) & 89.3218390804598 & 1.56650010011703 & 57.020002152433 \tabularnewline
Winsorized Mean ( 41 / 58 ) & 89.3218390804598 & 1.56650010011703 & 57.020002152433 \tabularnewline
Winsorized Mean ( 42 / 58 ) & 89.080459770115 & 1.54289834362416 & 57.7357932479669 \tabularnewline
Winsorized Mean ( 43 / 58 ) & 89.3275862068966 & 1.52079387773092 & 58.7374709452254 \tabularnewline
Winsorized Mean ( 44 / 58 ) & 88.5689655172414 & 1.44827170951501 & 61.154937250622 \tabularnewline
Winsorized Mean ( 45 / 58 ) & 88.8275862068966 & 1.42517429536933 & 62.3275247775058 \tabularnewline
Winsorized Mean ( 46 / 58 ) & 88.8275862068966 & 1.42517429536933 & 62.3275247775058 \tabularnewline
Winsorized Mean ( 47 / 58 ) & 88.2873563218391 & 1.37512126033651 & 64.203324367361 \tabularnewline
Winsorized Mean ( 48 / 58 ) & 88.2873563218391 & 1.37512126033651 & 64.203324367361 \tabularnewline
Winsorized Mean ( 49 / 58 ) & 88.5689655172414 & 1.29974817038454 & 68.143173835773 \tabularnewline
Winsorized Mean ( 50 / 58 ) & 88.5689655172414 & 1.29974817038454 & 68.143173835773 \tabularnewline
Winsorized Mean ( 51 / 58 ) & 88.5689655172414 & 1.24787604302511 & 70.9757720025877 \tabularnewline
Winsorized Mean ( 52 / 58 ) & 88.5689655172414 & 1.24787604302511 & 70.9757720025877 \tabularnewline
Winsorized Mean ( 53 / 58 ) & 88.5689655172414 & 1.24787604302511 & 70.9757720025877 \tabularnewline
Winsorized Mean ( 54 / 58 ) & 88.8793103448276 & 1.22139675364179 & 72.7685824281256 \tabularnewline
Winsorized Mean ( 55 / 58 ) & 88.8793103448276 & 1.22139675364179 & 72.7685824281256 \tabularnewline
Winsorized Mean ( 56 / 58 ) & 88.5574712643678 & 1.19244690261342 & 74.2653371569682 \tabularnewline
Winsorized Mean ( 57 / 58 ) & 88.8850574712644 & 1.10812830812447 & 80.2118823421307 \tabularnewline
Winsorized Mean ( 58 / 58 ) & 88.8850574712644 & 1.10812830812447 & 80.2118823421307 \tabularnewline
Trimmed Mean ( 1 / 58 ) & 92.3604651162791 & 2.76897071164440 & 33.3555225874633 \tabularnewline
Trimmed Mean ( 2 / 58 ) & 91.9235294117647 & 2.66529438305771 & 34.4890718248943 \tabularnewline
Trimmed Mean ( 3 / 58 ) & 91.4940476190476 & 2.55943043145029 & 35.7478158010347 \tabularnewline
Trimmed Mean ( 4 / 58 ) & 91.0963855421687 & 2.45856838807686 & 37.0526140269077 \tabularnewline
Trimmed Mean ( 5 / 58 ) & 90.7134146341463 & 2.36842548269696 & 38.3011478709686 \tabularnewline
Trimmed Mean ( 6 / 58 ) & 90.537037037037 & 2.32793978641520 & 38.8914857529264 \tabularnewline
Trimmed Mean ( 7 / 58 ) & 90.35625 & 2.2863476902285 & 39.5199078364890 \tabularnewline
Trimmed Mean ( 8 / 58 ) & 90.1898734177215 & 2.24761516223274 & 40.126919827382 \tabularnewline
Trimmed Mean ( 9 / 58 ) & 90.0448717948718 & 2.21322707976242 & 40.6848771272659 \tabularnewline
Trimmed Mean ( 10 / 58 ) & 89.9025974025974 & 2.17952774318321 & 41.2486593408967 \tabularnewline
Trimmed Mean ( 11 / 58 ) & 89.7763157894737 & 2.14700658476992 & 41.8146438983066 \tabularnewline
Trimmed Mean ( 12 / 58 ) & 89.6666666666667 & 2.11794646789408 & 42.3366067206713 \tabularnewline
Trimmed Mean ( 13 / 58 ) & 89.5743243243243 & 2.09030566060426 & 42.8522612805012 \tabularnewline
Trimmed Mean ( 14 / 58 ) & 89.513698630137 & 2.06658724333834 & 43.3147445957993 \tabularnewline
Trimmed Mean ( 15 / 58 ) & 89.4513888888889 & 2.04306847031351 & 43.7828639561759 \tabularnewline
Trimmed Mean ( 16 / 58 ) & 89.3802816901408 & 2.01851217704696 & 44.2802786658946 \tabularnewline
Trimmed Mean ( 17 / 58 ) & 89.3214285714286 & 1.99437203672685 & 44.7867433590888 \tabularnewline
Trimmed Mean ( 18 / 58 ) & 89.2536231884058 & 1.97386021552943 & 45.2178034119128 \tabularnewline
Trimmed Mean ( 19 / 58 ) & 89.1911764705882 & 1.95509263792358 & 45.6199234453228 \tabularnewline
Trimmed Mean ( 20 / 58 ) & 89.1268656716418 & 1.93452532781163 & 46.0716974806755 \tabularnewline
Trimmed Mean ( 21 / 58 ) & 89.060606060606 & 1.91445424137107 & 46.5201017271762 \tabularnewline
Trimmed Mean ( 22 / 58 ) & 89.0076923076923 & 1.89518097570951 & 46.9652732105808 \tabularnewline
Trimmed Mean ( 23 / 58 ) & 88.96875 & 1.87922547170999 & 47.3433078357775 \tabularnewline
Trimmed Mean ( 24 / 58 ) & 88.9285714285714 & 1.86159783123551 & 47.7700231147943 \tabularnewline
Trimmed Mean ( 25 / 58 ) & 88.8790322580645 & 1.84334673591792 & 48.2161226242691 \tabularnewline
Trimmed Mean ( 26 / 58 ) & 88.827868852459 & 1.82315610993288 & 48.7220311900385 \tabularnewline
Trimmed Mean ( 27 / 58 ) & 88.7916666666667 & 1.80385891340161 & 49.2231770494891 \tabularnewline
Trimmed Mean ( 28 / 58 ) & 88.7542372881356 & 1.78245901472325 & 49.7931433794655 \tabularnewline
Trimmed Mean ( 29 / 58 ) & 88.7155172413793 & 1.76173750759005 & 50.3568306056769 \tabularnewline
Trimmed Mean ( 30 / 58 ) & 88.6842105263158 & 1.74336704195821 & 50.8695004505204 \tabularnewline
Trimmed Mean ( 31 / 58 ) & 88.6517857142857 & 1.72286415912086 & 51.4560508122258 \tabularnewline
Trimmed Mean ( 32 / 58 ) & 88.609090909091 & 1.70149791508936 & 52.0771081311828 \tabularnewline
Trimmed Mean ( 33 / 58 ) & 88.574074074074 & 1.67940117851513 & 52.7414623779104 \tabularnewline
Trimmed Mean ( 34 / 58 ) & 88.5377358490566 & 1.66147481700131 & 53.288641478691 \tabularnewline
Trimmed Mean ( 35 / 58 ) & 88.5288461538462 & 1.64655913039805 & 53.7659683879344 \tabularnewline
Trimmed Mean ( 36 / 58 ) & 88.5098039215686 & 1.63131276677644 & 54.256795952421 \tabularnewline
Trimmed Mean ( 37 / 58 ) & 88.47 & 1.61729634722505 & 54.7024051292744 \tabularnewline
Trimmed Mean ( 38 / 58 ) & 88.4285714285714 & 1.60126974653810 & 55.2240318158457 \tabularnewline
Trimmed Mean ( 39 / 58 ) & 88.375 & 1.5883519264021 & 55.6394326288791 \tabularnewline
Trimmed Mean ( 40 / 58 ) & 88.3191489361702 & 1.57343050144791 & 56.1315856371773 \tabularnewline
Trimmed Mean ( 41 / 58 ) & 88.2717391304348 & 1.55839535956699 & 56.6427117409807 \tabularnewline
Trimmed Mean ( 42 / 58 ) & 88.2222222222222 & 1.54101461281142 & 57.2494390960188 \tabularnewline
Trimmed Mean ( 43 / 58 ) & 88.1818181818182 & 1.52329057407927 & 57.8890329148911 \tabularnewline
Trimmed Mean ( 44 / 58 ) & 88.1279069767442 & 1.50483002677183 & 58.5633629106913 \tabularnewline
Trimmed Mean ( 45 / 58 ) & 88.1071428571429 & 1.49074577488273 & 59.1027285414066 \tabularnewline
Trimmed Mean ( 46 / 58 ) & 88.0731707317073 & 1.47638038213825 & 59.6547961468781 \tabularnewline
Trimmed Mean ( 47 / 58 ) & 88.0375 & 1.45941332824468 & 60.3238974841263 \tabularnewline
Trimmed Mean ( 48 / 58 ) & 88.025641025641 & 1.44472749983380 & 60.9288886906131 \tabularnewline
Trimmed Mean ( 49 / 58 ) & 88.0131578947368 & 1.42724042664754 & 61.6666654415554 \tabularnewline
Trimmed Mean ( 50 / 58 ) & 87.9864864864865 & 1.41453988333358 & 62.2014886417575 \tabularnewline
Trimmed Mean ( 51 / 58 ) & 87.9864864864865 & 1.39911629554183 & 62.8871858378378 \tabularnewline
Trimmed Mean ( 52 / 58 ) & 87.9285714285714 & 1.38631606322358 & 63.4260640564983 \tabularnewline
Trimmed Mean ( 53 / 58 ) & 87.8970588235294 & 1.37057047809227 & 64.1317321717564 \tabularnewline
Trimmed Mean ( 54 / 58 ) & 87.8636363636364 & 1.35131574725581 & 65.0208040142106 \tabularnewline
Trimmed Mean ( 55 / 58 ) & 87.8125 & 1.33107602820318 & 65.9710626135596 \tabularnewline
Trimmed Mean ( 56 / 58 ) & 87.758064516129 & 1.30626879788477 & 67.1822404839149 \tabularnewline
Trimmed Mean ( 57 / 58 ) & 87.7166666666667 & 1.28024796032826 & 68.515373103329 \tabularnewline
Trimmed Mean ( 58 / 58 ) & 87.6551724137931 & 1.26029978576238 & 69.5510492059386 \tabularnewline
Median & 87 &  &  \tabularnewline
Midrange & 148.5 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 87.8735632183908 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 88.4831460674157 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 88.4831460674157 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 88.4831460674157 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 87.8735632183908 &  &  \tabularnewline
Midmean - Closest Observation & 88.4831460674157 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 88.4831460674157 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 88.4831460674157 &  &  \tabularnewline
Number of observations & 174 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=75008&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]93.0057471264368[/C][C]2.93792778132676[/C][C]31.6569208125448[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]85.8105348987817[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]79.0965171345831[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]100.713974192766[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 58 )[/C][C]92.7873563218391[/C][C]2.86369606834930[/C][C]32.4012584112405[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 58 )[/C][C]92.7528735632184[/C][C]2.85011002473940[/C][C]32.5436115652059[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 58 )[/C][C]92.632183908046[/C][C]2.8127771850956[/C][C]32.9326419450809[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 58 )[/C][C]92.5402298850575[/C][C]2.74934060740451[/C][C]33.6590634262735[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 58 )[/C][C]91.5344827586207[/C][C]2.53102004950157[/C][C]36.1650563679439[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 58 )[/C][C]91.5344827586207[/C][C]2.52099873576343[/C][C]36.3088173984750[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 58 )[/C][C]91.4137931034483[/C][C]2.48877759470474[/C][C]36.7303986093194[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 58 )[/C][C]91.2298850574713[/C][C]2.44583068131661[/C][C]37.3001638070716[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 58 )[/C][C]91.1781609195402[/C][C]2.4236907172658[/C][C]37.6195528043279[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 58 )[/C][C]91.0057471264368[/C][C]2.39706009345841[/C][C]37.9655676446293[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 58 )[/C][C]90.816091954023[/C][C]2.35247128629264[/C][C]38.6045485371871[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 58 )[/C][C]90.6091954022989[/C][C]2.32290797163096[/C][C]39.0067951502531[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 58 )[/C][C]90.235632183908[/C][C]2.27208258677500[/C][C]39.714943774112[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 58 )[/C][C]90.235632183908[/C][C]2.25255256533841[/C][C]40.0592792250119[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 58 )[/C][C]90.3218390804598[/C][C]2.24306916496908[/C][C]40.2670771329981[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 58 )[/C][C]90.1379310344828[/C][C]2.21935639535873[/C][C]40.6144462525195[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 58 )[/C][C]90.235632183908[/C][C]2.16325382264878[/C][C]41.7129193251209[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 58 )[/C][C]90.132183908046[/C][C]2.12692681559465[/C][C]42.3767208383457[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 58 )[/C][C]90.132183908046[/C][C]2.12692681559465[/C][C]42.3767208383457[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 58 )[/C][C]90.132183908046[/C][C]2.1011555914032[/C][C]42.8964824293919[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 58 )[/C][C]89.8908045977011[/C][C]2.07241281289[/C][C]43.3749511866545[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 58 )[/C][C]89.6379310344828[/C][C]2.01575244303617[/C][C]44.4687200276777[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 58 )[/C][C]89.6379310344828[/C][C]2.01575244303617[/C][C]44.4687200276777[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 58 )[/C][C]89.7758620689655[/C][C]2.00177864751839[/C][C]44.848046601087[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 58 )[/C][C]89.7758620689655[/C][C]2.00177864751839[/C][C]44.848046601087[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 58 )[/C][C]89.4770114942529[/C][C]1.96838516682372[/C][C]45.4570645025928[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 58 )[/C][C]89.4770114942529[/C][C]1.96838516682372[/C][C]45.4570645025928[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 58 )[/C][C]89.4770114942529[/C][C]1.93454281887938[/C][C]46.2522776032862[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 58 )[/C][C]89.3103448275862[/C][C]1.88198451178223[/C][C]47.4554090474473[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 58 )[/C][C]89.3103448275862[/C][C]1.88198451178223[/C][C]47.4554090474473[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 58 )[/C][C]89.4885057471264[/C][C]1.86444726682553[/C][C]47.9973380526298[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 58 )[/C][C]89.3045977011494[/C][C]1.84490002798964[/C][C]48.4061988976516[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 58 )[/C][C]89.3045977011494[/C][C]1.76844434453061[/C][C]50.4989585775474[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 58 )[/C][C]88.7183908045977[/C][C]1.70902781321874[/C][C]51.9116132097977[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 58 )[/C][C]88.919540229885[/C][C]1.68965155658581[/C][C]52.6259629586351[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 58 )[/C][C]89.3333333333333[/C][C]1.65080486111412[/C][C]54.1150171274895[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 58 )[/C][C]89.3333333333333[/C][C]1.65080486111412[/C][C]54.1150171274895[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 58 )[/C][C]89.551724137931[/C][C]1.58929122702669[/C][C]56.3469568163843[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 58 )[/C][C]89.551724137931[/C][C]1.58929122702669[/C][C]56.3469568163843[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 58 )[/C][C]89.3218390804598[/C][C]1.56650010011703[/C][C]57.020002152433[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 58 )[/C][C]89.3218390804598[/C][C]1.56650010011703[/C][C]57.020002152433[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 58 )[/C][C]89.080459770115[/C][C]1.54289834362416[/C][C]57.7357932479669[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 58 )[/C][C]89.3275862068966[/C][C]1.52079387773092[/C][C]58.7374709452254[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 58 )[/C][C]88.5689655172414[/C][C]1.44827170951501[/C][C]61.154937250622[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 58 )[/C][C]88.8275862068966[/C][C]1.42517429536933[/C][C]62.3275247775058[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 58 )[/C][C]88.8275862068966[/C][C]1.42517429536933[/C][C]62.3275247775058[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 58 )[/C][C]88.2873563218391[/C][C]1.37512126033651[/C][C]64.203324367361[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 58 )[/C][C]88.2873563218391[/C][C]1.37512126033651[/C][C]64.203324367361[/C][/ROW]
[ROW][C]Winsorized Mean ( 49 / 58 )[/C][C]88.5689655172414[/C][C]1.29974817038454[/C][C]68.143173835773[/C][/ROW]
[ROW][C]Winsorized Mean ( 50 / 58 )[/C][C]88.5689655172414[/C][C]1.29974817038454[/C][C]68.143173835773[/C][/ROW]
[ROW][C]Winsorized Mean ( 51 / 58 )[/C][C]88.5689655172414[/C][C]1.24787604302511[/C][C]70.9757720025877[/C][/ROW]
[ROW][C]Winsorized Mean ( 52 / 58 )[/C][C]88.5689655172414[/C][C]1.24787604302511[/C][C]70.9757720025877[/C][/ROW]
[ROW][C]Winsorized Mean ( 53 / 58 )[/C][C]88.5689655172414[/C][C]1.24787604302511[/C][C]70.9757720025877[/C][/ROW]
[ROW][C]Winsorized Mean ( 54 / 58 )[/C][C]88.8793103448276[/C][C]1.22139675364179[/C][C]72.7685824281256[/C][/ROW]
[ROW][C]Winsorized Mean ( 55 / 58 )[/C][C]88.8793103448276[/C][C]1.22139675364179[/C][C]72.7685824281256[/C][/ROW]
[ROW][C]Winsorized Mean ( 56 / 58 )[/C][C]88.5574712643678[/C][C]1.19244690261342[/C][C]74.2653371569682[/C][/ROW]
[ROW][C]Winsorized Mean ( 57 / 58 )[/C][C]88.8850574712644[/C][C]1.10812830812447[/C][C]80.2118823421307[/C][/ROW]
[ROW][C]Winsorized Mean ( 58 / 58 )[/C][C]88.8850574712644[/C][C]1.10812830812447[/C][C]80.2118823421307[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 58 )[/C][C]92.3604651162791[/C][C]2.76897071164440[/C][C]33.3555225874633[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 58 )[/C][C]91.9235294117647[/C][C]2.66529438305771[/C][C]34.4890718248943[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 58 )[/C][C]91.4940476190476[/C][C]2.55943043145029[/C][C]35.7478158010347[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 58 )[/C][C]91.0963855421687[/C][C]2.45856838807686[/C][C]37.0526140269077[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 58 )[/C][C]90.7134146341463[/C][C]2.36842548269696[/C][C]38.3011478709686[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 58 )[/C][C]90.537037037037[/C][C]2.32793978641520[/C][C]38.8914857529264[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 58 )[/C][C]90.35625[/C][C]2.2863476902285[/C][C]39.5199078364890[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 58 )[/C][C]90.1898734177215[/C][C]2.24761516223274[/C][C]40.126919827382[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 58 )[/C][C]90.0448717948718[/C][C]2.21322707976242[/C][C]40.6848771272659[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 58 )[/C][C]89.9025974025974[/C][C]2.17952774318321[/C][C]41.2486593408967[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 58 )[/C][C]89.7763157894737[/C][C]2.14700658476992[/C][C]41.8146438983066[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 58 )[/C][C]89.6666666666667[/C][C]2.11794646789408[/C][C]42.3366067206713[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 58 )[/C][C]89.5743243243243[/C][C]2.09030566060426[/C][C]42.8522612805012[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 58 )[/C][C]89.513698630137[/C][C]2.06658724333834[/C][C]43.3147445957993[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 58 )[/C][C]89.4513888888889[/C][C]2.04306847031351[/C][C]43.7828639561759[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 58 )[/C][C]89.3802816901408[/C][C]2.01851217704696[/C][C]44.2802786658946[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 58 )[/C][C]89.3214285714286[/C][C]1.99437203672685[/C][C]44.7867433590888[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 58 )[/C][C]89.2536231884058[/C][C]1.97386021552943[/C][C]45.2178034119128[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 58 )[/C][C]89.1911764705882[/C][C]1.95509263792358[/C][C]45.6199234453228[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 58 )[/C][C]89.1268656716418[/C][C]1.93452532781163[/C][C]46.0716974806755[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 58 )[/C][C]89.060606060606[/C][C]1.91445424137107[/C][C]46.5201017271762[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 58 )[/C][C]89.0076923076923[/C][C]1.89518097570951[/C][C]46.9652732105808[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 58 )[/C][C]88.96875[/C][C]1.87922547170999[/C][C]47.3433078357775[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 58 )[/C][C]88.9285714285714[/C][C]1.86159783123551[/C][C]47.7700231147943[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 58 )[/C][C]88.8790322580645[/C][C]1.84334673591792[/C][C]48.2161226242691[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 58 )[/C][C]88.827868852459[/C][C]1.82315610993288[/C][C]48.7220311900385[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 58 )[/C][C]88.7916666666667[/C][C]1.80385891340161[/C][C]49.2231770494891[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 58 )[/C][C]88.7542372881356[/C][C]1.78245901472325[/C][C]49.7931433794655[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 58 )[/C][C]88.7155172413793[/C][C]1.76173750759005[/C][C]50.3568306056769[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 58 )[/C][C]88.6842105263158[/C][C]1.74336704195821[/C][C]50.8695004505204[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 58 )[/C][C]88.6517857142857[/C][C]1.72286415912086[/C][C]51.4560508122258[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 58 )[/C][C]88.609090909091[/C][C]1.70149791508936[/C][C]52.0771081311828[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 58 )[/C][C]88.574074074074[/C][C]1.67940117851513[/C][C]52.7414623779104[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 58 )[/C][C]88.5377358490566[/C][C]1.66147481700131[/C][C]53.288641478691[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 58 )[/C][C]88.5288461538462[/C][C]1.64655913039805[/C][C]53.7659683879344[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 58 )[/C][C]88.5098039215686[/C][C]1.63131276677644[/C][C]54.256795952421[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 58 )[/C][C]88.47[/C][C]1.61729634722505[/C][C]54.7024051292744[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 58 )[/C][C]88.4285714285714[/C][C]1.60126974653810[/C][C]55.2240318158457[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 58 )[/C][C]88.375[/C][C]1.5883519264021[/C][C]55.6394326288791[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 58 )[/C][C]88.3191489361702[/C][C]1.57343050144791[/C][C]56.1315856371773[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 58 )[/C][C]88.2717391304348[/C][C]1.55839535956699[/C][C]56.6427117409807[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 58 )[/C][C]88.2222222222222[/C][C]1.54101461281142[/C][C]57.2494390960188[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 58 )[/C][C]88.1818181818182[/C][C]1.52329057407927[/C][C]57.8890329148911[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 58 )[/C][C]88.1279069767442[/C][C]1.50483002677183[/C][C]58.5633629106913[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 58 )[/C][C]88.1071428571429[/C][C]1.49074577488273[/C][C]59.1027285414066[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 58 )[/C][C]88.0731707317073[/C][C]1.47638038213825[/C][C]59.6547961468781[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 58 )[/C][C]88.0375[/C][C]1.45941332824468[/C][C]60.3238974841263[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 58 )[/C][C]88.025641025641[/C][C]1.44472749983380[/C][C]60.9288886906131[/C][/ROW]
[ROW][C]Trimmed Mean ( 49 / 58 )[/C][C]88.0131578947368[/C][C]1.42724042664754[/C][C]61.6666654415554[/C][/ROW]
[ROW][C]Trimmed Mean ( 50 / 58 )[/C][C]87.9864864864865[/C][C]1.41453988333358[/C][C]62.2014886417575[/C][/ROW]
[ROW][C]Trimmed Mean ( 51 / 58 )[/C][C]87.9864864864865[/C][C]1.39911629554183[/C][C]62.8871858378378[/C][/ROW]
[ROW][C]Trimmed Mean ( 52 / 58 )[/C][C]87.9285714285714[/C][C]1.38631606322358[/C][C]63.4260640564983[/C][/ROW]
[ROW][C]Trimmed Mean ( 53 / 58 )[/C][C]87.8970588235294[/C][C]1.37057047809227[/C][C]64.1317321717564[/C][/ROW]
[ROW][C]Trimmed Mean ( 54 / 58 )[/C][C]87.8636363636364[/C][C]1.35131574725581[/C][C]65.0208040142106[/C][/ROW]
[ROW][C]Trimmed Mean ( 55 / 58 )[/C][C]87.8125[/C][C]1.33107602820318[/C][C]65.9710626135596[/C][/ROW]
[ROW][C]Trimmed Mean ( 56 / 58 )[/C][C]87.758064516129[/C][C]1.30626879788477[/C][C]67.1822404839149[/C][/ROW]
[ROW][C]Trimmed Mean ( 57 / 58 )[/C][C]87.7166666666667[/C][C]1.28024796032826[/C][C]68.515373103329[/C][/ROW]
[ROW][C]Trimmed Mean ( 58 / 58 )[/C][C]87.6551724137931[/C][C]1.26029978576238[/C][C]69.5510492059386[/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]87.8735632183908[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]88.4831460674157[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]88.4831460674157[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]88.4831460674157[/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]88.4831460674157[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]88.4831460674157[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]88.4831460674157[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]174[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=75008&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=75008&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 Mean93.00574712643682.9379277813267631.6569208125448
Geometric Mean85.8105348987817
Harmonic Mean79.0965171345831
Quadratic Mean100.713974192766
Winsorized Mean ( 1 / 58 )92.78735632183912.8636960683493032.4012584112405
Winsorized Mean ( 2 / 58 )92.75287356321842.8501100247394032.5436115652059
Winsorized Mean ( 3 / 58 )92.6321839080462.812777185095632.9326419450809
Winsorized Mean ( 4 / 58 )92.54022988505752.7493406074045133.6590634262735
Winsorized Mean ( 5 / 58 )91.53448275862072.5310200495015736.1650563679439
Winsorized Mean ( 6 / 58 )91.53448275862072.5209987357634336.3088173984750
Winsorized Mean ( 7 / 58 )91.41379310344832.4887775947047436.7303986093194
Winsorized Mean ( 8 / 58 )91.22988505747132.4458306813166137.3001638070716
Winsorized Mean ( 9 / 58 )91.17816091954022.423690717265837.6195528043279
Winsorized Mean ( 10 / 58 )91.00574712643682.3970600934584137.9655676446293
Winsorized Mean ( 11 / 58 )90.8160919540232.3524712862926438.6045485371871
Winsorized Mean ( 12 / 58 )90.60919540229892.3229079716309639.0067951502531
Winsorized Mean ( 13 / 58 )90.2356321839082.2720825867750039.714943774112
Winsorized Mean ( 14 / 58 )90.2356321839082.2525525653384140.0592792250119
Winsorized Mean ( 15 / 58 )90.32183908045982.2430691649690840.2670771329981
Winsorized Mean ( 16 / 58 )90.13793103448282.2193563953587340.6144462525195
Winsorized Mean ( 17 / 58 )90.2356321839082.1632538226487841.7129193251209
Winsorized Mean ( 18 / 58 )90.1321839080462.1269268155946542.3767208383457
Winsorized Mean ( 19 / 58 )90.1321839080462.1269268155946542.3767208383457
Winsorized Mean ( 20 / 58 )90.1321839080462.101155591403242.8964824293919
Winsorized Mean ( 21 / 58 )89.89080459770112.0724128128943.3749511866545
Winsorized Mean ( 22 / 58 )89.63793103448282.0157524430361744.4687200276777
Winsorized Mean ( 23 / 58 )89.63793103448282.0157524430361744.4687200276777
Winsorized Mean ( 24 / 58 )89.77586206896552.0017786475183944.848046601087
Winsorized Mean ( 25 / 58 )89.77586206896552.0017786475183944.848046601087
Winsorized Mean ( 26 / 58 )89.47701149425291.9683851668237245.4570645025928
Winsorized Mean ( 27 / 58 )89.47701149425291.9683851668237245.4570645025928
Winsorized Mean ( 28 / 58 )89.47701149425291.9345428188793846.2522776032862
Winsorized Mean ( 29 / 58 )89.31034482758621.8819845117822347.4554090474473
Winsorized Mean ( 30 / 58 )89.31034482758621.8819845117822347.4554090474473
Winsorized Mean ( 31 / 58 )89.48850574712641.8644472668255347.9973380526298
Winsorized Mean ( 32 / 58 )89.30459770114941.8449000279896448.4061988976516
Winsorized Mean ( 33 / 58 )89.30459770114941.7684443445306150.4989585775474
Winsorized Mean ( 34 / 58 )88.71839080459771.7090278132187451.9116132097977
Winsorized Mean ( 35 / 58 )88.9195402298851.6896515565858152.6259629586351
Winsorized Mean ( 36 / 58 )89.33333333333331.6508048611141254.1150171274895
Winsorized Mean ( 37 / 58 )89.33333333333331.6508048611141254.1150171274895
Winsorized Mean ( 38 / 58 )89.5517241379311.5892912270266956.3469568163843
Winsorized Mean ( 39 / 58 )89.5517241379311.5892912270266956.3469568163843
Winsorized Mean ( 40 / 58 )89.32183908045981.5665001001170357.020002152433
Winsorized Mean ( 41 / 58 )89.32183908045981.5665001001170357.020002152433
Winsorized Mean ( 42 / 58 )89.0804597701151.5428983436241657.7357932479669
Winsorized Mean ( 43 / 58 )89.32758620689661.5207938777309258.7374709452254
Winsorized Mean ( 44 / 58 )88.56896551724141.4482717095150161.154937250622
Winsorized Mean ( 45 / 58 )88.82758620689661.4251742953693362.3275247775058
Winsorized Mean ( 46 / 58 )88.82758620689661.4251742953693362.3275247775058
Winsorized Mean ( 47 / 58 )88.28735632183911.3751212603365164.203324367361
Winsorized Mean ( 48 / 58 )88.28735632183911.3751212603365164.203324367361
Winsorized Mean ( 49 / 58 )88.56896551724141.2997481703845468.143173835773
Winsorized Mean ( 50 / 58 )88.56896551724141.2997481703845468.143173835773
Winsorized Mean ( 51 / 58 )88.56896551724141.2478760430251170.9757720025877
Winsorized Mean ( 52 / 58 )88.56896551724141.2478760430251170.9757720025877
Winsorized Mean ( 53 / 58 )88.56896551724141.2478760430251170.9757720025877
Winsorized Mean ( 54 / 58 )88.87931034482761.2213967536417972.7685824281256
Winsorized Mean ( 55 / 58 )88.87931034482761.2213967536417972.7685824281256
Winsorized Mean ( 56 / 58 )88.55747126436781.1924469026134274.2653371569682
Winsorized Mean ( 57 / 58 )88.88505747126441.1081283081244780.2118823421307
Winsorized Mean ( 58 / 58 )88.88505747126441.1081283081244780.2118823421307
Trimmed Mean ( 1 / 58 )92.36046511627912.7689707116444033.3555225874633
Trimmed Mean ( 2 / 58 )91.92352941176472.6652943830577134.4890718248943
Trimmed Mean ( 3 / 58 )91.49404761904762.5594304314502935.7478158010347
Trimmed Mean ( 4 / 58 )91.09638554216872.4585683880768637.0526140269077
Trimmed Mean ( 5 / 58 )90.71341463414632.3684254826969638.3011478709686
Trimmed Mean ( 6 / 58 )90.5370370370372.3279397864152038.8914857529264
Trimmed Mean ( 7 / 58 )90.356252.286347690228539.5199078364890
Trimmed Mean ( 8 / 58 )90.18987341772152.2476151622327440.126919827382
Trimmed Mean ( 9 / 58 )90.04487179487182.2132270797624240.6848771272659
Trimmed Mean ( 10 / 58 )89.90259740259742.1795277431832141.2486593408967
Trimmed Mean ( 11 / 58 )89.77631578947372.1470065847699241.8146438983066
Trimmed Mean ( 12 / 58 )89.66666666666672.1179464678940842.3366067206713
Trimmed Mean ( 13 / 58 )89.57432432432432.0903056606042642.8522612805012
Trimmed Mean ( 14 / 58 )89.5136986301372.0665872433383443.3147445957993
Trimmed Mean ( 15 / 58 )89.45138888888892.0430684703135143.7828639561759
Trimmed Mean ( 16 / 58 )89.38028169014082.0185121770469644.2802786658946
Trimmed Mean ( 17 / 58 )89.32142857142861.9943720367268544.7867433590888
Trimmed Mean ( 18 / 58 )89.25362318840581.9738602155294345.2178034119128
Trimmed Mean ( 19 / 58 )89.19117647058821.9550926379235845.6199234453228
Trimmed Mean ( 20 / 58 )89.12686567164181.9345253278116346.0716974806755
Trimmed Mean ( 21 / 58 )89.0606060606061.9144542413710746.5201017271762
Trimmed Mean ( 22 / 58 )89.00769230769231.8951809757095146.9652732105808
Trimmed Mean ( 23 / 58 )88.968751.8792254717099947.3433078357775
Trimmed Mean ( 24 / 58 )88.92857142857141.8615978312355147.7700231147943
Trimmed Mean ( 25 / 58 )88.87903225806451.8433467359179248.2161226242691
Trimmed Mean ( 26 / 58 )88.8278688524591.8231561099328848.7220311900385
Trimmed Mean ( 27 / 58 )88.79166666666671.8038589134016149.2231770494891
Trimmed Mean ( 28 / 58 )88.75423728813561.7824590147232549.7931433794655
Trimmed Mean ( 29 / 58 )88.71551724137931.7617375075900550.3568306056769
Trimmed Mean ( 30 / 58 )88.68421052631581.7433670419582150.8695004505204
Trimmed Mean ( 31 / 58 )88.65178571428571.7228641591208651.4560508122258
Trimmed Mean ( 32 / 58 )88.6090909090911.7014979150893652.0771081311828
Trimmed Mean ( 33 / 58 )88.5740740740741.6794011785151352.7414623779104
Trimmed Mean ( 34 / 58 )88.53773584905661.6614748170013153.288641478691
Trimmed Mean ( 35 / 58 )88.52884615384621.6465591303980553.7659683879344
Trimmed Mean ( 36 / 58 )88.50980392156861.6313127667764454.256795952421
Trimmed Mean ( 37 / 58 )88.471.6172963472250554.7024051292744
Trimmed Mean ( 38 / 58 )88.42857142857141.6012697465381055.2240318158457
Trimmed Mean ( 39 / 58 )88.3751.588351926402155.6394326288791
Trimmed Mean ( 40 / 58 )88.31914893617021.5734305014479156.1315856371773
Trimmed Mean ( 41 / 58 )88.27173913043481.5583953595669956.6427117409807
Trimmed Mean ( 42 / 58 )88.22222222222221.5410146128114257.2494390960188
Trimmed Mean ( 43 / 58 )88.18181818181821.5232905740792757.8890329148911
Trimmed Mean ( 44 / 58 )88.12790697674421.5048300267718358.5633629106913
Trimmed Mean ( 45 / 58 )88.10714285714291.4907457748827359.1027285414066
Trimmed Mean ( 46 / 58 )88.07317073170731.4763803821382559.6547961468781
Trimmed Mean ( 47 / 58 )88.03751.4594133282446860.3238974841263
Trimmed Mean ( 48 / 58 )88.0256410256411.4447274998338060.9288886906131
Trimmed Mean ( 49 / 58 )88.01315789473681.4272404266475461.6666654415554
Trimmed Mean ( 50 / 58 )87.98648648648651.4145398833335862.2014886417575
Trimmed Mean ( 51 / 58 )87.98648648648651.3991162955418362.8871858378378
Trimmed Mean ( 52 / 58 )87.92857142857141.3863160632235863.4260640564983
Trimmed Mean ( 53 / 58 )87.89705882352941.3705704780922764.1317321717564
Trimmed Mean ( 54 / 58 )87.86363636363641.3513157472558165.0208040142106
Trimmed Mean ( 55 / 58 )87.81251.3310760282031865.9710626135596
Trimmed Mean ( 56 / 58 )87.7580645161291.3062687978847767.1822404839149
Trimmed Mean ( 57 / 58 )87.71666666666671.2802479603282668.515373103329
Trimmed Mean ( 58 / 58 )87.65517241379311.2602997857623869.5510492059386
Median87
Midrange148.5
Midmean - Weighted Average at Xnp87.8735632183908
Midmean - Weighted Average at X(n+1)p88.4831460674157
Midmean - Empirical Distribution Function88.4831460674157
Midmean - Empirical Distribution Function - Averaging88.4831460674157
Midmean - Empirical Distribution Function - Interpolation87.8735632183908
Midmean - Closest Observation88.4831460674157
Midmean - True Basic - Statistics Graphics Toolkit88.4831460674157
Midmean - MS Excel (old versions)88.4831460674157
Number of observations174



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')