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Measures of central tendency

*The author of this computation has been verified*
R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)
Title produced by software: Central Tendency
Date of computation: Mon, 04 Oct 2010 21:05:35 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Oct/04/t1286226278bdvtee3sc19z2sc.htm/, Retrieved Mon, 04 Oct 2010 23:04:40 +0200
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Oct/04/t1286226278bdvtee3sc19z2sc.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
4813 33999 37028 39047 59609 62156 64016 70939 72844 85094 103898 109215 131812 136452 136813 140321 150034 156187 158047 169861 171328 180818 183186 183613 184641 187881 190157 190379 191835 192797 193299 197549 198296 199297 199746 200156 203077 204386 206771 206893 207533 208108 211655 213361 213511 213923 216046 216548 216886 217465 218761 220553 221588 223166 226731 229641 232444 232669 235577 236302 238502 240755 241171 242205 242344 246542 249148 250407 251422 257102 257567 260642 261596 262517 262875 263906 265777 266793 274482 275562 278741 287069 289714 293671 295281 308174 308532 313906 315955 330563 348821 350089 356725 366936 380155 380531 383703 386688 401422 401915 403064 403556 406167 421403 426113 435956 438555 441437 449594 475834 506652 556277 601162 611281 645285 653641 662883 699645 947293 1030944 1305923 2763544 4202361 137.55 171.26 236.71 239.89 252.64 259.7 etc...
 
Output produced by software:


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 Mean299165.38949640337548.94789421427.96734412743693
Geometric Mean108624.265070935
Harmonic Mean742.104352826059
Quadratic Mean532981.586559374
Winsorized Mean ( 1 / 46 )288814.53712230230520.84686965859.4628611832334
Winsorized Mean ( 2 / 46 )267841.99194244619941.175844597213.4316047373412
Winsorized Mean ( 3 / 46 )261908.29345323717886.581478955714.6427249813713
Winsorized Mean ( 4 / 46 )259502.04050359717161.403398479215.1212598689099
Winsorized Mean ( 5 / 46 )250596.19338129514870.090147935516.8523654455509
Winsorized Mean ( 6 / 46 )249009.48172661914532.598614957417.1345461554501
Winsorized Mean ( 7 / 46 )248544.69935251814437.174881941917.2156049493726
Winsorized Mean ( 8 / 46 )248064.18482014414339.962894748317.2988024195650
Winsorized Mean ( 9 / 46 )245865.62467625913908.844925463617.6769261569766
Winsorized Mean ( 10 / 46 )245138.78151079113771.206657920517.8008207704733
Winsorized Mean ( 11 / 46 )241591.81647482013128.767160591118.4017138486554
Winsorized Mean ( 12 / 46 )237307.98482014412419.030446746919.1084147701969
Winsorized Mean ( 13 / 46 )234430.22064748211981.215889614419.5664799639152
Winsorized Mean ( 14 / 46 )231812.98208633111604.703410110819.9757782593874
Winsorized Mean ( 15 / 46 )230939.37669064711485.429475905820.1071607444121
Winsorized Mean ( 16 / 46 )231074.57553956811373.911755515220.3161920460232
Winsorized Mean ( 17 / 46 )234326.22302158310834.638302922321.6275076721649
Winsorized Mean ( 18 / 46 )233443.83453237410612.246351760121.9975890866552
Winsorized Mean ( 19 / 46 )23307610491.018937003522.2167171177153
Winsorized Mean ( 20 / 46 )233842.3309352529820.2415546395823.8122789173931
Winsorized Mean ( 21 / 46 )233832.6618705049720.8476719159524.0547604244493
Winsorized Mean ( 22 / 46 )234049.1798561159673.4060255071924.195115891855
Winsorized Mean ( 23 / 46 )235004.5899280589504.6641393593824.725186127818
Winsorized Mean ( 24 / 46 )235248.3884892099452.779941388824.886688354944
Winsorized Mean ( 25 / 46 )234801.6258992818846.7143174045426.5411109113521
Winsorized Mean ( 26 / 46 )237760.5755395688356.5428341062428.4520261858979
Winsorized Mean ( 27 / 46 )238177.2302158278159.5114342667729.1901337640849
Winsorized Mean ( 28 / 46 )242653.4028776987649.4532067588931.7216664144431
Winsorized Mean ( 29 / 46 )240863.5395683457192.8189394000333.4866679667091
Winsorized Mean ( 30 / 46 )238737.640287776908.1543455539834.5588167759192
Winsorized Mean ( 31 / 46 )238040.0287769786642.5713101525835.8355247783573
Winsorized Mean ( 32 / 46 )239984.2014388496373.0375338695237.6561726121104
Winsorized Mean ( 33 / 46 )237110.3525179865696.7406851579841.6221073807593
Winsorized Mean ( 34 / 46 )233992.1366906475233.9009355497944.7070243728387
Winsorized Mean ( 35 / 46 )236450.9496402884870.8523115879448.5440605698025
Winsorized Mean ( 36 / 46 )235439.0647482014674.0745376453550.3712687617533
Winsorized Mean ( 37 / 46 )237869.8848920864419.2806072020753.8254765955417
Winsorized Mean ( 38 / 46 )234992.546762593960.2865877718159.337257936882
Winsorized Mean ( 39 / 46 )234660.6258992813899.2391143351960.1811325282855
Winsorized Mean ( 40 / 46 )233817.7482014393747.1411316807062.3989703042129
Winsorized Mean ( 41 / 46 )233993.2517985613572.8275240834865.4924566666807
Winsorized Mean ( 42 / 46 )232164.5899280583241.7343232220171.6174019150668
Winsorized Mean ( 43 / 46 )231249.8345323743133.6713129942573.7951787009253
Winsorized Mean ( 44 / 46 )231368.8561151083055.2871894105175.7273675996883
Winsorized Mean ( 45 / 46 )229191.0503597122776.2359865435182.5545996343997
Winsorized Mean ( 46 / 46 )229020.9496402882727.5448185853383.9659711839572
Trimmed Mean ( 1 / 46 )272858.53423357724979.500891689810.9232980841643
Trimmed Mean ( 2 / 46 )256429.76088888917135.268473146014.9650273230769
Trimmed Mean ( 3 / 46 )250466.22661654115355.70011542316.3109610590127
Trimmed Mean ( 4 / 46 )246419.28694656514265.550249910217.2737316563108
Trimmed Mean ( 5 / 46 )242895.05682170513280.482767650418.289625540825
Trimmed Mean ( 6 / 46 )241209.29622047212855.073487072818.7637430826853
Trimmed Mean ( 7 / 46 )239763.6618412464.765660410619.2353124296203
Trimmed Mean ( 8 / 46 )238346.04951219512051.175285974619.7778261336541
Trimmed Mean ( 9 / 46 )236950.57347107411608.909737755520.4110962031554
Trimmed Mean ( 10 / 46 )235793.53134453811197.147961145421.0583563031186
Trimmed Mean ( 11 / 46 )234683.28367521410760.389301602521.8099250033885
Trimmed Mean ( 12 / 46 )233924.16426087010381.966573555122.5317778287517
Trimmed Mean ( 13 / 46 )233577.29769911510072.952689974623.1885629654143
Trimmed Mean ( 14 / 46 )233495.1381081089793.4910742071923.8418697008932
Trimmed Mean ( 15 / 46 )233648.3620183499534.680092459124.5051076441610
Trimmed Mean ( 16 / 46 )233882.9719626179261.0666195361225.254431435494
Trimmed Mean ( 17 / 46 )234115.3333333338968.830740481426.1032168080326
Trimmed Mean ( 18 / 46 )234098.5922330108713.2205387638626.8670569270615
Trimmed Mean ( 19 / 46 )234148.6534653478454.3687499122227.6955808756009
Trimmed Mean ( 20 / 46 )234227.9191919198177.4642261271428.6430992193836
Trimmed Mean ( 21 / 46 )234255.5463917537951.2501225792929.4614737029255
Trimmed Mean ( 22 / 46 )234285.0105263167707.1672172001430.398329752527
Trimmed Mean ( 23 / 46 )234301.0322580657434.9909812280531.5132907154333
Trimmed Mean ( 24 / 46 )234254.3076923087145.6682509782432.7827012764325
Trimmed Mean ( 25 / 46 )234189.6179775286819.0853249107434.3432596629950
Trimmed Mean ( 26 / 46 )234150.5057471266526.548266628435.87662209508
Trimmed Mean ( 27 / 46 )233923.4470588246255.1488155681537.3969435349999
Trimmed Mean ( 28 / 46 )233659.6024096395966.8274601214839.1597719175344
Trimmed Mean ( 29 / 46 )233108.3950617285698.924740731240.9039258573924
Trimmed Mean ( 30 / 46 )232637.8734177225452.3696573167442.667296613966
Trimmed Mean ( 31 / 46 )232270.8311688315205.8711522007544.6170918138533
Trimmed Mean ( 32 / 46 )231925.924954.7645666110246.8086660591087
Trimmed Mean ( 33 / 46 )231446.4246575344695.1037508987949.2952737441059
Trimmed Mean ( 34 / 46 )231110.4084507044493.8403419732151.4282642158189
Trimmed Mean ( 35 / 46 )230939.6666666674326.5149605699153.3777575650047
Trimmed Mean ( 36 / 46 )230612.9850746274178.4895006187255.1905144288335
Trimmed Mean ( 37 / 46 )230326.3076923084031.5969162548157.1302916627566
Trimmed Mean ( 38 / 46 )229876.4761904763889.5271733576259.1013935485727
Trimmed Mean ( 39 / 46 )229569.688524593792.000544541660.5405209804214
Trimmed Mean ( 40 / 46 )229262.1525423733682.3598114145462.2595738286379
Trimmed Mean ( 41 / 46 )228984.4210526323573.0681234064664.086217543013
Trimmed Mean ( 42 / 46 )228675.6727272733466.1967262141865.9730796575517
Trimmed Mean ( 43 / 46 )228457.8113207553390.9714780026467.3723777397625
Trimmed Mean ( 44 / 46 )228280.8431372553314.8498478841768.8661187121233
Trimmed Mean ( 45 / 46 )228081.7551020413231.1197221109770.5890758368525
Trimmed Mean ( 46 / 46 )228008.8510638303176.2424993081771.7857188528563
Median223166
Midrange2101184.975
Midmean - Weighted Average at Xnp229898.342857143
Midmean - Weighted Average at X(n+1)p231110.408450704
Midmean - Empirical Distribution Function231110.408450704
Midmean - Empirical Distribution Function - Averaging231110.408450704
Midmean - Empirical Distribution Function - Interpolation230939.666666667
Midmean - Closest Observation229898.342857143
Midmean - True Basic - Statistics Graphics Toolkit231110.408450704
Midmean - MS Excel (old versions)231110.408450704
Number of observations139
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Oct/04/t1286226278bdvtee3sc19z2sc/1wxip1286226333.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Oct/04/t1286226278bdvtee3sc19z2sc/1wxip1286226333.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Oct/04/t1286226278bdvtee3sc19z2sc/26ozs1286226333.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Oct/04/t1286226278bdvtee3sc19z2sc/26ozs1286226333.ps (open in new window)


 
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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/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')
 





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