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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Wed, 21 Dec 2011 14:27:03 -0500

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/2011/Dec/21/t132449568059ls22fy9nqqsnp.htm/, Retrieved Fri, 05 Jun 2026 03:20:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=158969, Retrieved Fri, 05 Jun 2026 03:20:25 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

433

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

-     [Histogram] [Bad example of Hi...] [2010-09-25 09:28:23] [b98453cac15ba1066b407e146608df68]
- R P   [Histogram] [Workshop 1: Task 3] [2011-10-04 18:01:03] [f722e8e78b9e5c5ebaa2263f273aa636]
-         [Histogram] [Paper: Histogram] [2011-12-21 11:23:29] [f722e8e78b9e5c5ebaa2263f273aa636]
- R PD        [Histogram] [Test] [2011-12-21 19:27:03] [3e64eea457df40fcb7af8f28e1ee6256] [Current]

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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	1 seconds
R Server	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158969&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158969&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158969&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	1 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[20000,25000[	22500	1	0.090909	0.090909	1.8e-05
[25000,30000[	27500	1	0.090909	0.181818	1.8e-05
[30000,35000[	32500	0	0	0.181818	0
[35000,40000[	37500	0	0	0.181818	0
[40000,45000[	42500	0	0	0.181818	0
[45000,50000[	47500	2	0.181818	0.363636	3.6e-05
[50000,55000[	52500	0	0	0.363636	0
[55000,60000[	57500	0	0	0.363636	0
[60000,65000[	62500	0	0	0.363636	0
[65000,70000[	67500	1	0.090909	0.454545	1.8e-05
[70000,75000[	72500	0	0	0.454545	0
[75000,80000[	77500	0	0	0.454545	0
[80000,85000[	82500	2	0.181818	0.636364	3.6e-05
[85000,90000[	87500	2	0.181818	0.818182	3.6e-05
[90000,95000[	92500	0	0	0.818182	0
[95000,1e+05[	97500	0	0	0.818182	0
[1e+05,105000[	102500	0	0	0.818182	0
[105000,110000[	107500	0	0	0.818182	0
[110000,115000[	112500	0	0	0.818182	0
[115000,120000[	117500	1	0.090909	0.909091	1.8e-05
[120000,125000]	122500	1	0.090909	1	1.8e-05

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[20000,25000[ & 22500 & 1 & 0.090909 & 0.090909 & 1.8e-05 \tabularnewline
[25000,30000[ & 27500 & 1 & 0.090909 & 0.181818 & 1.8e-05 \tabularnewline
[30000,35000[ & 32500 & 0 & 0 & 0.181818 & 0 \tabularnewline
[35000,40000[ & 37500 & 0 & 0 & 0.181818 & 0 \tabularnewline
[40000,45000[ & 42500 & 0 & 0 & 0.181818 & 0 \tabularnewline
[45000,50000[ & 47500 & 2 & 0.181818 & 0.363636 & 3.6e-05 \tabularnewline
[50000,55000[ & 52500 & 0 & 0 & 0.363636 & 0 \tabularnewline
[55000,60000[ & 57500 & 0 & 0 & 0.363636 & 0 \tabularnewline
[60000,65000[ & 62500 & 0 & 0 & 0.363636 & 0 \tabularnewline
[65000,70000[ & 67500 & 1 & 0.090909 & 0.454545 & 1.8e-05 \tabularnewline
[70000,75000[ & 72500 & 0 & 0 & 0.454545 & 0 \tabularnewline
[75000,80000[ & 77500 & 0 & 0 & 0.454545 & 0 \tabularnewline
[80000,85000[ & 82500 & 2 & 0.181818 & 0.636364 & 3.6e-05 \tabularnewline
[85000,90000[ & 87500 & 2 & 0.181818 & 0.818182 & 3.6e-05 \tabularnewline
[90000,95000[ & 92500 & 0 & 0 & 0.818182 & 0 \tabularnewline
[95000,1e+05[ & 97500 & 0 & 0 & 0.818182 & 0 \tabularnewline
[1e+05,105000[ & 102500 & 0 & 0 & 0.818182 & 0 \tabularnewline
[105000,110000[ & 107500 & 0 & 0 & 0.818182 & 0 \tabularnewline
[110000,115000[ & 112500 & 0 & 0 & 0.818182 & 0 \tabularnewline
[115000,120000[ & 117500 & 1 & 0.090909 & 0.909091 & 1.8e-05 \tabularnewline
[120000,125000] & 122500 & 1 & 0.090909 & 1 & 1.8e-05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158969&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][20000,25000[[/C][C]22500[/C][C]1[/C][C]0.090909[/C][C]0.090909[/C][C]1.8e-05[/C][/ROW]
[ROW][C][25000,30000[[/C][C]27500[/C][C]1[/C][C]0.090909[/C][C]0.181818[/C][C]1.8e-05[/C][/ROW]
[ROW][C][30000,35000[[/C][C]32500[/C][C]0[/C][C]0[/C][C]0.181818[/C][C]0[/C][/ROW]
[ROW][C][35000,40000[[/C][C]37500[/C][C]0[/C][C]0[/C][C]0.181818[/C][C]0[/C][/ROW]
[ROW][C][40000,45000[[/C][C]42500[/C][C]0[/C][C]0[/C][C]0.181818[/C][C]0[/C][/ROW]
[ROW][C][45000,50000[[/C][C]47500[/C][C]2[/C][C]0.181818[/C][C]0.363636[/C][C]3.6e-05[/C][/ROW]
[ROW][C][50000,55000[[/C][C]52500[/C][C]0[/C][C]0[/C][C]0.363636[/C][C]0[/C][/ROW]
[ROW][C][55000,60000[[/C][C]57500[/C][C]0[/C][C]0[/C][C]0.363636[/C][C]0[/C][/ROW]
[ROW][C][60000,65000[[/C][C]62500[/C][C]0[/C][C]0[/C][C]0.363636[/C][C]0[/C][/ROW]
[ROW][C][65000,70000[[/C][C]67500[/C][C]1[/C][C]0.090909[/C][C]0.454545[/C][C]1.8e-05[/C][/ROW]
[ROW][C][70000,75000[[/C][C]72500[/C][C]0[/C][C]0[/C][C]0.454545[/C][C]0[/C][/ROW]
[ROW][C][75000,80000[[/C][C]77500[/C][C]0[/C][C]0[/C][C]0.454545[/C][C]0[/C][/ROW]
[ROW][C][80000,85000[[/C][C]82500[/C][C]2[/C][C]0.181818[/C][C]0.636364[/C][C]3.6e-05[/C][/ROW]
[ROW][C][85000,90000[[/C][C]87500[/C][C]2[/C][C]0.181818[/C][C]0.818182[/C][C]3.6e-05[/C][/ROW]
[ROW][C][90000,95000[[/C][C]92500[/C][C]0[/C][C]0[/C][C]0.818182[/C][C]0[/C][/ROW]
[ROW][C][95000,1e+05[[/C][C]97500[/C][C]0[/C][C]0[/C][C]0.818182[/C][C]0[/C][/ROW]
[ROW][C][1e+05,105000[[/C][C]102500[/C][C]0[/C][C]0[/C][C]0.818182[/C][C]0[/C][/ROW]
[ROW][C][105000,110000[[/C][C]107500[/C][C]0[/C][C]0[/C][C]0.818182[/C][C]0[/C][/ROW]
[ROW][C][110000,115000[[/C][C]112500[/C][C]0[/C][C]0[/C][C]0.818182[/C][C]0[/C][/ROW]
[ROW][C][115000,120000[[/C][C]117500[/C][C]1[/C][C]0.090909[/C][C]0.909091[/C][C]1.8e-05[/C][/ROW]
[ROW][C][120000,125000][/C][C]122500[/C][C]1[/C][C]0.090909[/C][C]1[/C][C]1.8e-05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158969&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158969&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
[20000,25000[	22500	1	0.090909	0.090909	1.8e-05
[25000,30000[	27500	1	0.090909	0.181818	1.8e-05
[30000,35000[	32500	0	0	0.181818	0
[35000,40000[	37500	0	0	0.181818	0
[40000,45000[	42500	0	0	0.181818	0
[45000,50000[	47500	2	0.181818	0.363636	3.6e-05
[50000,55000[	52500	0	0	0.363636	0
[55000,60000[	57500	0	0	0.363636	0
[60000,65000[	62500	0	0	0.363636	0
[65000,70000[	67500	1	0.090909	0.454545	1.8e-05
[70000,75000[	72500	0	0	0.454545	0
[75000,80000[	77500	0	0	0.454545	0
[80000,85000[	82500	2	0.181818	0.636364	3.6e-05
[85000,90000[	87500	2	0.181818	0.818182	3.6e-05
[90000,95000[	92500	0	0	0.818182	0
[95000,1e+05[	97500	0	0	0.818182	0
[1e+05,105000[	102500	0	0	0.818182	0
[105000,110000[	107500	0	0	0.818182	0
[110000,115000[	112500	0	0	0.818182	0
[115000,120000[	117500	1	0.090909	0.909091	1.8e-05
[120000,125000]	122500	1	0.090909	1	1.8e-05

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 30 ; 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