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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_histogram.wasp
Title produced by softwareHistogram
Date of computationMon, 30 Sep 2013 02:51:17 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Sep/30/t1380523905mj30mx492ttboxv.htm/, Retrieved Sun, 19 Apr 2026 19:27:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=212401, Retrieved Sun, 19 Apr 2026 19:27:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact310

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [] [2013-09-23 08:14:14] [d2a97e7888fceb17f0b9d57dc11e6fdc]
- R P   [Histogram] [] [2013-09-30 06:48:36] [74be16979710d4c4e7c6647856088456]
-   P       [Histogram] [] [2013-09-30 06:51:17] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-             [Histogram] [] [2013-11-27 16:39:36] [d2a97e7888fceb17f0b9d57dc11e6fdc]
-   P           [Histogram] [] [2013-11-27 16:41:53] [d2a97e7888fceb17f0b9d57dc11e6fdc]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
80
80
80
80
80
80
80
80
80
80
80
80
80
80
85
85
85
85
85
85
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100
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120
200
210

Tables (Output of Computation)





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

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212401&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212401&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212401&T=0

As an alternative you can also use a QR Code:  
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' @ jenkins.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[80,90[85360.2352940.2352940.023529
[90,100[95660.4313730.6666670.043137
[100,110[105150.0980390.7647060.009804
[110,120[115130.0849670.8496730.008497
[120,130[125210.1372550.9869280.013725
[130,140[135000.9869280
[140,150[145000.9869280
[150,160[155000.9869280
[160,170[165000.9869280
[170,180[175000.9869280
[180,190[185000.9869280
[190,200[195000.9869280
[200,210]20520.01307210.001307

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[80,90[ & 85 & 36 & 0.235294 & 0.235294 & 0.023529 \tabularnewline
[90,100[ & 95 & 66 & 0.431373 & 0.666667 & 0.043137 \tabularnewline
[100,110[ & 105 & 15 & 0.098039 & 0.764706 & 0.009804 \tabularnewline
[110,120[ & 115 & 13 & 0.084967 & 0.849673 & 0.008497 \tabularnewline
[120,130[ & 125 & 21 & 0.137255 & 0.986928 & 0.013725 \tabularnewline
[130,140[ & 135 & 0 & 0 & 0.986928 & 0 \tabularnewline
[140,150[ & 145 & 0 & 0 & 0.986928 & 0 \tabularnewline
[150,160[ & 155 & 0 & 0 & 0.986928 & 0 \tabularnewline
[160,170[ & 165 & 0 & 0 & 0.986928 & 0 \tabularnewline
[170,180[ & 175 & 0 & 0 & 0.986928 & 0 \tabularnewline
[180,190[ & 185 & 0 & 0 & 0.986928 & 0 \tabularnewline
[190,200[ & 195 & 0 & 0 & 0.986928 & 0 \tabularnewline
[200,210] & 205 & 2 & 0.013072 & 1 & 0.001307 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212401&T=1

[TABLE]
[ROW][C]Frequency Table (Histogram)[/C][/ROW]
[ROW][C]Bins[/C][C]Midpoint[/C][C]Abs. Frequency[/C][C]Rel. Frequency[/C][C]Cumul. Rel. Freq.[/C][C]Density[/C][/ROW]
[ROW][C][80,90[[/C][C]85[/C][C]36[/C][C]0.235294[/C][C]0.235294[/C][C]0.023529[/C][/ROW]
[ROW][C][90,100[[/C][C]95[/C][C]66[/C][C]0.431373[/C][C]0.666667[/C][C]0.043137[/C][/ROW]
[ROW][C][100,110[[/C][C]105[/C][C]15[/C][C]0.098039[/C][C]0.764706[/C][C]0.009804[/C][/ROW]
[ROW][C][110,120[[/C][C]115[/C][C]13[/C][C]0.084967[/C][C]0.849673[/C][C]0.008497[/C][/ROW]
[ROW][C][120,130[[/C][C]125[/C][C]21[/C][C]0.137255[/C][C]0.986928[/C][C]0.013725[/C][/ROW]
[ROW][C][130,140[[/C][C]135[/C][C]0[/C][C]0[/C][C]0.986928[/C][C]0[/C][/ROW]
[ROW][C][140,150[[/C][C]145[/C][C]0[/C][C]0[/C][C]0.986928[/C][C]0[/C][/ROW]
[ROW][C][150,160[[/C][C]155[/C][C]0[/C][C]0[/C][C]0.986928[/C][C]0[/C][/ROW]
[ROW][C][160,170[[/C][C]165[/C][C]0[/C][C]0[/C][C]0.986928[/C][C]0[/C][/ROW]
[ROW][C][170,180[[/C][C]175[/C][C]0[/C][C]0[/C][C]0.986928[/C][C]0[/C][/ROW]
[ROW][C][180,190[[/C][C]185[/C][C]0[/C][C]0[/C][C]0.986928[/C][C]0[/C][/ROW]
[ROW][C][190,200[[/C][C]195[/C][C]0[/C][C]0[/C][C]0.986928[/C][C]0[/C][/ROW]
[ROW][C][200,210][/C][C]205[/C][C]2[/C][C]0.013072[/C][C]1[/C][C]0.001307[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212401&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212401&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[80,90[85360.2352940.2352940.023529
[90,100[95660.4313730.6666670.043137
[100,110[105150.0980390.7647060.009804
[110,120[115130.0849670.8496730.008497
[120,130[125210.1372550.9869280.013725
[130,140[135000.9869280
[140,150[145000.9869280
[150,160[155000.9869280
[160,170[165000.9869280
[170,180[175000.9869280
[180,190[185000.9869280
[190,200[195000.9869280
[200,210]20520.01307210.001307


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = 12 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par3 == 'TRUE') par3 <- TRUE
if (par3 == 'FALSE') par3 <- FALSE
if (par4 == 'Unknown') par1 <- as.numeric(par1)
if (par4 == 'Interval/Ratio') par1 <- as.numeric(par1)
if (par4 == '3-point Likert') par1 <- c(1:3 - 0.5, 3.5)
if (par4 == '4-point Likert') par1 <- c(1:4 - 0.5, 4.5)
if (par4 == '5-point Likert') par1 <- c(1:5 - 0.5, 5.5)
if (par4 == '6-point Likert') par1 <- c(1:6 - 0.5, 6.5)
if (par4 == '7-point Likert') par1 <- c(1:7 - 0.5, 7.5)
if (par4 == '8-point Likert') par1 <- c(1:8 - 0.5, 8.5)
if (par4 == '9-point Likert') par1 <- c(1:9 - 0.5, 9.5)
if (par4 == '10-point Likert') par1 <- c(1:10 - 0.5, 10.5)
bitmap(file='test1.png')
if(is.numeric(x[1])) {
if (is.na(par1)) {
myhist<-hist(x,col=par2,main=main,xlab=xlab,right=par3)
} else {
if (par1 < 0) par1 <- 3
if (par1 > 50) par1 <- 50
myhist<-hist(x,breaks=par1,col=par2,main=main,xlab=xlab,right=par3)
}
} else {
plot(mytab <- table(x),col=par2,main='Frequency Plot',xlab=xlab,ylab='Absolute Frequency')
}
dev.off()
if(is.numeric(x[1])) {
myhist
n <- length(x)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('histogram.htm','Frequency Table (Histogram)',''),6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Bins',header=TRUE)
a<-table.element(a,'Midpoint',header=TRUE)
a<-table.element(a,'Abs. Frequency',header=TRUE)
a<-table.element(a,'Rel. Frequency',header=TRUE)
a<-table.element(a,'Cumul. Rel. Freq.',header=TRUE)
a<-table.element(a,'Density',header=TRUE)
a<-table.row.end(a)
crf <- 0
if (par3 == FALSE) mybracket <- '[' else mybracket <- ']'
mynumrows <- (length(myhist$breaks)-1)
for (i in 1:mynumrows) {
a<-table.row.start(a)
if (i == 1)
dum <- paste('[',myhist$breaks[i],sep='')
else
dum <- paste(mybracket,myhist$breaks[i],sep='')
dum <- paste(dum,myhist$breaks[i+1],sep=',')
if (i==mynumrows)
dum <- paste(dum,']',sep='')
else
dum <- paste(dum,mybracket,sep='')
a<-table.element(a,dum,header=TRUE)
a<-table.element(a,myhist$mids[i])
a<-table.element(a,myhist$counts[i])
rf <- myhist$counts[i]/n
crf <- crf + rf
a<-table.element(a,round(rf,6))
a<-table.element(a,round(crf,6))
a<-table.element(a,round(myhist$density[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
} else {
mytab
reltab <- mytab / sum(mytab)
n <- length(mytab)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Frequency Table (Categorical Data)',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Category',header=TRUE)
a<-table.element(a,'Abs. Frequency',header=TRUE)
a<-table.element(a,'Rel. Frequency',header=TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,labels(mytab)$x[i],header=TRUE)
a<-table.element(a,mytab[i])
a<-table.element(a,round(reltab[i],4))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}