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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 computationSun, 09 Feb 2014 17:29:45 -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/09/t1391985005lohh1ttpn6j8bab.htm/, Retrieved Thu, 12 Feb 2026 06:12:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=233526, Retrieved Thu, 12 Feb 2026 06:12:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact346

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [] [2014-02-09 22:29:45] [aa1782934d0b081042c527b5804d60cd] [Current]
- R PD    [Histogram] [] [2014-02-09 22:35:10] [81aa55046b9483ad574c1beb765d747c]
- R PD    [Histogram] [] [2014-02-09 22:37:23] [81aa55046b9483ad574c1beb765d747c]
- RMPD    [Kernel Density Estimation] [] [2014-02-09 22:41:17] [81aa55046b9483ad574c1beb765d747c]
Feedback Forum

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-2
0
1
-3
-3
-5
-7
-7
-5
-13
-16
-20
-18
-21
-20
-16
-14
-12
-10
-3
-4
-4
-1
-8
-10
-11
-7
-2
-6
-4
0
2
2
5
8
8
5
10
6
6
9
5
5
-4
-5
-1
-8
-8
-13
-18
-8
-8
-6
-5
-11
-14
-12
-13
-19
-21
-22
-13
-21
-17
-15
-14
-11
-8
-3
-2
-1
1

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
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233526&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]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233526&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233526&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
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[-25,-20[-22.540.0555560.0555560.011111
[-20,-15[-17.580.1111110.1666670.022222
[-15,-10[-12.5130.1805560.3472220.036111
[-10,-5[-7.5130.1805560.5277780.036111
[-5,0[-2.5180.250.7777780.05
[0,5[2.560.0833330.8611110.016667
[5,10]7.5100.13888910.027778

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[-25,-20[ & -22.5 & 4 & 0.055556 & 0.055556 & 0.011111 \tabularnewline
[-20,-15[ & -17.5 & 8 & 0.111111 & 0.166667 & 0.022222 \tabularnewline
[-15,-10[ & -12.5 & 13 & 0.180556 & 0.347222 & 0.036111 \tabularnewline
[-10,-5[ & -7.5 & 13 & 0.180556 & 0.527778 & 0.036111 \tabularnewline
[-5,0[ & -2.5 & 18 & 0.25 & 0.777778 & 0.05 \tabularnewline
[0,5[ & 2.5 & 6 & 0.083333 & 0.861111 & 0.016667 \tabularnewline
[5,10] & 7.5 & 10 & 0.138889 & 1 & 0.027778 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=233526&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][-25,-20[[/C][C]-22.5[/C][C]4[/C][C]0.055556[/C][C]0.055556[/C][C]0.011111[/C][/ROW]
[ROW][C][-20,-15[[/C][C]-17.5[/C][C]8[/C][C]0.111111[/C][C]0.166667[/C][C]0.022222[/C][/ROW]
[ROW][C][-15,-10[[/C][C]-12.5[/C][C]13[/C][C]0.180556[/C][C]0.347222[/C][C]0.036111[/C][/ROW]
[ROW][C][-10,-5[[/C][C]-7.5[/C][C]13[/C][C]0.180556[/C][C]0.527778[/C][C]0.036111[/C][/ROW]
[ROW][C][-5,0[[/C][C]-2.5[/C][C]18[/C][C]0.25[/C][C]0.777778[/C][C]0.05[/C][/ROW]
[ROW][C][0,5[[/C][C]2.5[/C][C]6[/C][C]0.083333[/C][C]0.861111[/C][C]0.016667[/C][/ROW]
[ROW][C][5,10][/C][C]7.5[/C][C]10[/C][C]0.138889[/C][C]1[/C][C]0.027778[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=233526&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=233526&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
[-25,-20[-22.540.0555560.0555560.011111
[-20,-15[-17.580.1111110.1666670.022222
[-15,-10[-12.5130.1805560.3472220.036111
[-10,-5[-7.5130.1805560.5277780.036111
[-5,0[-2.5180.250.7777780.05
[0,5[2.560.0833330.8611110.016667
[5,10]7.5100.13888910.027778


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')
}