R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
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> x <- c(551.91,551.46,550.12,549.95,548.01,548.92,548.92,549.06,547.07,546.5,544.95,544.23,544.23,541.6,541.37,540.43,540.47,540.52,540.52,539.7,540.89,540.51,537.43,538.14,538.14,537.74,540.33,540.02,539.21,539.84,539.84,537.3,536.27,536.75,536.21,536.99,536.99,536.57,536.91,536.97,540.45,542.42,542.42,542.98,540.19,537.16,537.35,537.03,537.03,536.27,534.71,537.12,537.07,537.33,537.33,538.79,539.24,537.17,536.46,532.3,532.3,532.89,533.47,532.54,533.8,534.15,534.15,534.15,534.28,535.63,534.21,533.78,533.78,534.55,536.93,536.09,533.91,533.99,533.99,533.76,532.5,529.5,528.62,528.7,521.27,521.19,519.43,516.81,516.78,515.45,516.22,517.01,518.19,516.79,516.87,514.1)
> par1 = '12'
> par1 <- '12'
> #'GNU S' R Code compiled by R2WASP v. 1.2.291 ()
> #Author: root
> #To cite this work: Wessa P. (2012), Standard Deviation-Mean Plot (v1.0.6) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_smp.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #
> par1 <- as.numeric(par1)
> (n <- length(x))
[1] 96
> (np <- floor(n / par1))
[1] 8
> arr <- array(NA,dim=c(par1,np))
> j <- 0
> k <- 1
> for (i in 1:(np*par1))
+ {
+ j = j + 1
+ arr[j,k] <- x[i]
+ if (j == par1) {
+ j = 0
+ k=k+1
+ }
+ }
> arr
        [,1]   [,2]   [,3]   [,4]   [,5]   [,6]   [,7]   [,8]
 [1,] 551.91 544.23 538.14 536.99 537.03 532.30 533.78 521.27
 [2,] 551.46 541.60 537.74 536.57 536.27 532.89 534.55 521.19
 [3,] 550.12 541.37 540.33 536.91 534.71 533.47 536.93 519.43
 [4,] 549.95 540.43 540.02 536.97 537.12 532.54 536.09 516.81
 [5,] 548.01 540.47 539.21 540.45 537.07 533.80 533.91 516.78
 [6,] 548.92 540.52 539.84 542.42 537.33 534.15 533.99 515.45
 [7,] 548.92 540.52 539.84 542.42 537.33 534.15 533.99 516.22
 [8,] 549.06 539.70 537.30 542.98 538.79 534.15 533.76 517.01
 [9,] 547.07 540.89 536.27 540.19 539.24 534.28 532.50 518.19
[10,] 546.50 540.51 536.75 537.16 537.17 535.63 529.50 516.79
[11,] 544.95 537.43 536.21 537.35 536.46 534.21 528.62 516.87
[12,] 544.23 538.14 536.99 537.03 532.30 533.78 528.70 514.10
> arr.mean <- array(NA,dim=np)
> arr.sd <- array(NA,dim=np)
> arr.range <- array(NA,dim=np)
> for (j in 1:np)
+ {
+ arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
+ arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
+ arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
+ }
> arr.mean
[1] 548.4250 540.4842 538.2200 538.9533 536.7350 533.7792 533.0267 517.5092
> arr.sd
[1] 2.3900533 1.6967909 1.5527278 2.5432382 1.8041493 0.8987209 2.7225601
[8] 2.1651263
> arr.range
[1] 7.68 6.80 4.12 6.41 6.94 3.33 8.31 7.17
> (lm1 <- lm(arr.sd~arr.mean))

Call:
lm(formula = arr.sd ~ arr.mean)

Coefficients:
(Intercept)     arr.mean  
   0.816049     0.002156  

> (lnlm1 <- lm(log(arr.sd)~log(arr.mean)))

Call:
lm(formula = log(arr.sd) ~ log(arr.mean))

Coefficients:
  (Intercept)  log(arr.mean)  
      -4.2747         0.7803  

> (lm2 <- lm(arr.range~arr.mean))

Call:
lm(formula = arr.range ~ arr.mean)

Coefficients:
(Intercept)     arr.mean  
  6.4279655   -0.0001548  

> postscript(file="/var/wessaorg/rcomp/tmp/1whig1426157191.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/20y3m1426157191.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
> dev.off()
null device 
          1 
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Section',header=TRUE)
> a<-table.element(a,'Mean',header=TRUE)
> a<-table.element(a,'Standard Deviation',header=TRUE)
> a<-table.element(a,'Range',header=TRUE)
> a<-table.row.end(a)
> for (j in 1:np) {
+ a<-table.row.start(a)
+ a<-table.element(a,j,header=TRUE)
+ a<-table.element(a,arr.mean[j])
+ a<-table.element(a,arr.sd[j] )
+ a<-table.element(a,arr.range[j] )
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/34wbc1426157191.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lm1$coefficients[[1]])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'beta',header=TRUE)
> a<-table.element(a,lm1$coefficients[[2]])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'S.D.',header=TRUE)
> a<-table.element(a,summary(lm1)$coefficients[2,2])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'T-STAT',header=TRUE)
> a<-table.element(a,summary(lm1)$coefficients[2,3])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'p-value',header=TRUE)
> a<-table.element(a,summary(lm1)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/4bnkn1426157191.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,lnlm1$coefficients[[1]])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'beta',header=TRUE)
> a<-table.element(a,lnlm1$coefficients[[2]])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'S.D.',header=TRUE)
> a<-table.element(a,summary(lnlm1)$coefficients[2,2])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'T-STAT',header=TRUE)
> a<-table.element(a,summary(lnlm1)$coefficients[2,3])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'p-value',header=TRUE)
> a<-table.element(a,summary(lnlm1)$coefficients[2,4])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Lambda',header=TRUE)
> a<-table.element(a,1-lnlm1$coefficients[[2]])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/5qm3k1426157191.tab") 
> 
> try(system("convert tmp/1whig1426157191.ps tmp/1whig1426157191.png",intern=TRUE))
character(0)
> try(system("convert tmp/20y3m1426157191.ps tmp/20y3m1426157191.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  0.899   0.148   1.051