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Author's title

Author

*The author of this computation has been verified*

R Software Module

Patrick.Wessarwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Tue, 14 Dec 2010 11:44:35 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/14/t1292326979kwfcz0kwqhjpc4n.htm/, Retrieved Wed, 11 Feb 2026 19:05:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109441, Retrieved Wed, 11 Feb 2026 19:05:55 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

389

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Kendall tau Correlation Matrix] [] [2010-12-05 17:44:33] [b98453cac15ba1066b407e146608df68]
-   PD  [Kendall tau Correlation Matrix] [] [2010-12-13 09:45:33] [dd4fe494cff2ee46c12b15bdc7b848ca]
-    D    [Kendall tau Correlation Matrix] [] [2010-12-13 16:29:23] [dd4fe494cff2ee46c12b15bdc7b848ca]
- RMPD        [Histogram] [] [2010-12-14 11:44:35] [6c31f786e793d35ef3a03978bc5de774] [Current]

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Dataseries X:

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Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109441&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109441&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109441&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[0,5[	2.5	10	0.238095	0.238095	0.047619
[5,10[	7.5	10	0.238095	0.47619	0.047619
[10,15[	12.5	3	0.071429	0.547619	0.014286
[15,20[	17.5	2	0.047619	0.595238	0.009524
[20,25[	22.5	5	0.119048	0.714286	0.02381
[25,30[	27.5	4	0.095238	0.809524	0.019048
[30,35[	32.5	2	0.047619	0.857143	0.009524
[35,40[	37.5	0	0	0.857143	0
[40,45[	42.5	1	0.02381	0.880952	0.004762
[45,50[	47.5	1	0.02381	0.904762	0.004762
[50,55[	52.5	2	0.047619	0.952381	0.009524
[55,60[	57.5	0	0	0.952381	0
[60,65[	62.5	0	0	0.952381	0
[65,70[	67.5	1	0.02381	0.97619	0.004762
[70,75[	72.5	0	0	0.97619	0
[75,80[	77.5	0	0	0.97619	0
[80,85[	82.5	0	0	0.97619	0
[85,90[	87.5	0	0	0.97619	0
[90,95[	92.5	0	0	0.97619	0
[95,100]	97.5	1	0.02381	1	0.004762

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[0,5[ & 2.5 & 10 & 0.238095 & 0.238095 & 0.047619 \tabularnewline
[5,10[ & 7.5 & 10 & 0.238095 & 0.47619 & 0.047619 \tabularnewline
[10,15[ & 12.5 & 3 & 0.071429 & 0.547619 & 0.014286 \tabularnewline
[15,20[ & 17.5 & 2 & 0.047619 & 0.595238 & 0.009524 \tabularnewline
[20,25[ & 22.5 & 5 & 0.119048 & 0.714286 & 0.02381 \tabularnewline
[25,30[ & 27.5 & 4 & 0.095238 & 0.809524 & 0.019048 \tabularnewline
[30,35[ & 32.5 & 2 & 0.047619 & 0.857143 & 0.009524 \tabularnewline
[35,40[ & 37.5 & 0 & 0 & 0.857143 & 0 \tabularnewline
[40,45[ & 42.5 & 1 & 0.02381 & 0.880952 & 0.004762 \tabularnewline
[45,50[ & 47.5 & 1 & 0.02381 & 0.904762 & 0.004762 \tabularnewline
[50,55[ & 52.5 & 2 & 0.047619 & 0.952381 & 0.009524 \tabularnewline
[55,60[ & 57.5 & 0 & 0 & 0.952381 & 0 \tabularnewline
[60,65[ & 62.5 & 0 & 0 & 0.952381 & 0 \tabularnewline
[65,70[ & 67.5 & 1 & 0.02381 & 0.97619 & 0.004762 \tabularnewline
[70,75[ & 72.5 & 0 & 0 & 0.97619 & 0 \tabularnewline
[75,80[ & 77.5 & 0 & 0 & 0.97619 & 0 \tabularnewline
[80,85[ & 82.5 & 0 & 0 & 0.97619 & 0 \tabularnewline
[85,90[ & 87.5 & 0 & 0 & 0.97619 & 0 \tabularnewline
[90,95[ & 92.5 & 0 & 0 & 0.97619 & 0 \tabularnewline
[95,100] & 97.5 & 1 & 0.02381 & 1 & 0.004762 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109441&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][0,5[[/C][C]2.5[/C][C]10[/C][C]0.238095[/C][C]0.238095[/C][C]0.047619[/C][/ROW]
[ROW][C][5,10[[/C][C]7.5[/C][C]10[/C][C]0.238095[/C][C]0.47619[/C][C]0.047619[/C][/ROW]
[ROW][C][10,15[[/C][C]12.5[/C][C]3[/C][C]0.071429[/C][C]0.547619[/C][C]0.014286[/C][/ROW]
[ROW][C][15,20[[/C][C]17.5[/C][C]2[/C][C]0.047619[/C][C]0.595238[/C][C]0.009524[/C][/ROW]
[ROW][C][20,25[[/C][C]22.5[/C][C]5[/C][C]0.119048[/C][C]0.714286[/C][C]0.02381[/C][/ROW]
[ROW][C][25,30[[/C][C]27.5[/C][C]4[/C][C]0.095238[/C][C]0.809524[/C][C]0.019048[/C][/ROW]
[ROW][C][30,35[[/C][C]32.5[/C][C]2[/C][C]0.047619[/C][C]0.857143[/C][C]0.009524[/C][/ROW]
[ROW][C][35,40[[/C][C]37.5[/C][C]0[/C][C]0[/C][C]0.857143[/C][C]0[/C][/ROW]
[ROW][C][40,45[[/C][C]42.5[/C][C]1[/C][C]0.02381[/C][C]0.880952[/C][C]0.004762[/C][/ROW]
[ROW][C][45,50[[/C][C]47.5[/C][C]1[/C][C]0.02381[/C][C]0.904762[/C][C]0.004762[/C][/ROW]
[ROW][C][50,55[[/C][C]52.5[/C][C]2[/C][C]0.047619[/C][C]0.952381[/C][C]0.009524[/C][/ROW]
[ROW][C][55,60[[/C][C]57.5[/C][C]0[/C][C]0[/C][C]0.952381[/C][C]0[/C][/ROW]
[ROW][C][60,65[[/C][C]62.5[/C][C]0[/C][C]0[/C][C]0.952381[/C][C]0[/C][/ROW]
[ROW][C][65,70[[/C][C]67.5[/C][C]1[/C][C]0.02381[/C][C]0.97619[/C][C]0.004762[/C][/ROW]
[ROW][C][70,75[[/C][C]72.5[/C][C]0[/C][C]0[/C][C]0.97619[/C][C]0[/C][/ROW]
[ROW][C][75,80[[/C][C]77.5[/C][C]0[/C][C]0[/C][C]0.97619[/C][C]0[/C][/ROW]
[ROW][C][80,85[[/C][C]82.5[/C][C]0[/C][C]0[/C][C]0.97619[/C][C]0[/C][/ROW]
[ROW][C][85,90[[/C][C]87.5[/C][C]0[/C][C]0[/C][C]0.97619[/C][C]0[/C][/ROW]
[ROW][C][90,95[[/C][C]92.5[/C][C]0[/C][C]0[/C][C]0.97619[/C][C]0[/C][/ROW]
[ROW][C][95,100][/C][C]97.5[/C][C]1[/C][C]0.02381[/C][C]1[/C][C]0.004762[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109441&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109441&T=1

As an alternative you can also use a QR Code:

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

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[0,5[	2.5	10	0.238095	0.238095	0.047619
[5,10[	7.5	10	0.238095	0.47619	0.047619
[10,15[	12.5	3	0.071429	0.547619	0.014286
[15,20[	17.5	2	0.047619	0.595238	0.009524
[20,25[	22.5	5	0.119048	0.714286	0.02381
[25,30[	27.5	4	0.095238	0.809524	0.019048
[30,35[	32.5	2	0.047619	0.857143	0.009524
[35,40[	37.5	0	0	0.857143	0
[40,45[	42.5	1	0.02381	0.880952	0.004762
[45,50[	47.5	1	0.02381	0.904762	0.004762
[50,55[	52.5	2	0.047619	0.952381	0.009524
[55,60[	57.5	0	0	0.952381	0
[60,65[	62.5	0	0	0.952381	0
[65,70[	67.5	1	0.02381	0.97619	0.004762
[70,75[	72.5	0	0	0.97619	0
[75,80[	77.5	0	0	0.97619	0
[80,85[	82.5	0	0	0.97619	0
[85,90[	87.5	0	0	0.97619	0
[90,95[	92.5	0	0	0.97619	0
[95,100]	97.5	1	0.02381	1	0.004762

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 15 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 15 ; 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')
}

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code