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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 computationTue, 04 Feb 2014 08:09:47 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Feb/04/t1391519603mz2jvh8l26qyr7g.htm/, Retrieved Sun, 15 Feb 2026 08:46:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=233228, Retrieved Sun, 15 Feb 2026 08:46:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact407

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [] [2014-02-04 13:09:47] [45a206086251edfa7ba367c121fe1722] [Current]
- R PD    [Histogram] [] [2014-02-09 13:27:29] [6261dc9631ed0b67e409910aed7f2e7e]
- R PD    [Histogram] [] [2014-02-09 13:31:30] [6261dc9631ed0b67e409910aed7f2e7e]
- R PD    [Histogram] [] [2014-02-09 13:32:42] [6261dc9631ed0b67e409910aed7f2e7e]
- RMPD    [Kernel Density Estimation] [] [2014-02-09 13:36:27] [6261dc9631ed0b67e409910aed7f2e7e]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6
6,7
-0,6
5,8
16,4
1,5
5,1
14,7
4,3
1,5
9,1
4,3
5,7
13
14,5
9,7
-4,7
7,3
5,2
-2,5
11,5
4,9
-2,4
-0,3
4,4
7,9
-9,7
-4,1
16,4
-4,9
3,5
3,8
-0,2
3,1
0,7
-2,8
5,9
-5,3
-2,9
6,6
-8,1
1,3
6,9
-7,2
-1,9
4
-5,7
3,9
-7,6
-0,9
7,3
-3,7
-2,5
9,3
1,3
9,5
11,3
-1,7
8
-4,8
1,6
1,9
-0,9
5,5
1,7
-5,4
1,9
0,2
-13,3
-8,2
0,2
5,7
-1,2
-2,8
5,5
-17,3
1,4
-2,2
-8,6
-5
4,1
0,7
-4,2
-2,3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233228&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233228&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233228&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 time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[-20,-15[-17.510.0119050.0119050.002381
[-15,-10[-12.510.0119050.023810.002381
[-10,-5[-7.590.1071430.1309520.021429
[-5,0[-2.5230.273810.4047620.054762
[0,5[2.5230.273810.6785710.054762
[5,10[7.5200.2380950.9166670.047619
[10,15[12.550.0595240.976190.011905
[15,20]17.520.0238110.004762

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[-20,-15[ & -17.5 & 1 & 0.011905 & 0.011905 & 0.002381 \tabularnewline
[-15,-10[ & -12.5 & 1 & 0.011905 & 0.02381 & 0.002381 \tabularnewline
[-10,-5[ & -7.5 & 9 & 0.107143 & 0.130952 & 0.021429 \tabularnewline
[-5,0[ & -2.5 & 23 & 0.27381 & 0.404762 & 0.054762 \tabularnewline
[0,5[ & 2.5 & 23 & 0.27381 & 0.678571 & 0.054762 \tabularnewline
[5,10[ & 7.5 & 20 & 0.238095 & 0.916667 & 0.047619 \tabularnewline
[10,15[ & 12.5 & 5 & 0.059524 & 0.97619 & 0.011905 \tabularnewline
[15,20] & 17.5 & 2 & 0.02381 & 1 & 0.004762 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233228&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][-20,-15[[/C][C]-17.5[/C][C]1[/C][C]0.011905[/C][C]0.011905[/C][C]0.002381[/C][/ROW]
[ROW][C][-15,-10[[/C][C]-12.5[/C][C]1[/C][C]0.011905[/C][C]0.02381[/C][C]0.002381[/C][/ROW]
[ROW][C][-10,-5[[/C][C]-7.5[/C][C]9[/C][C]0.107143[/C][C]0.130952[/C][C]0.021429[/C][/ROW]
[ROW][C][-5,0[[/C][C]-2.5[/C][C]23[/C][C]0.27381[/C][C]0.404762[/C][C]0.054762[/C][/ROW]
[ROW][C][0,5[[/C][C]2.5[/C][C]23[/C][C]0.27381[/C][C]0.678571[/C][C]0.054762[/C][/ROW]
[ROW][C][5,10[[/C][C]7.5[/C][C]20[/C][C]0.238095[/C][C]0.916667[/C][C]0.047619[/C][/ROW]
[ROW][C][10,15[[/C][C]12.5[/C][C]5[/C][C]0.059524[/C][C]0.97619[/C][C]0.011905[/C][/ROW]
[ROW][C][15,20][/C][C]17.5[/C][C]2[/C][C]0.02381[/C][C]1[/C][C]0.004762[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233228&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233228&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
[-20,-15[-17.510.0119050.0119050.002381
[-15,-10[-12.510.0119050.023810.002381
[-10,-5[-7.590.1071430.1309520.021429
[-5,0[-2.5230.273810.4047620.054762
[0,5[2.5230.273810.6785710.054762
[5,10[7.5200.2380950.9166670.047619
[10,15[12.550.0595240.976190.011905
[15,20]17.520.0238110.004762


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par2 = grey ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
R code (references can be found in the software module):
par4 <- 'Unknown'
par3 <- 'FALSE'
par2 <- 'grey'
par1 <- ''
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')
}