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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, 22 Dec 2010 15:15:16 +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/22/t1293030812qgflt7rmap01rdv.htm/, Retrieved Tue, 10 Feb 2026 16:15:28 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114299, Retrieved Tue, 10 Feb 2026 16:15:28 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

348

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

-       [Histogram] [paper, histogram ...] [2010-12-22 15:15:16] [39ab8462d2190635c809d7a35eacc961] [Current]
-    D    [Histogram] [paper, histogram ...] [2010-12-22 15:20:09] [94f495cfd7e7946e5228cbd267a6841d] 

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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	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135
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' @ 72.249.127.135 \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=114299&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' @ 72.249.127.135[/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=114299&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114299&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	'Gwilym Jenkins' @ 72.249.127.135
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)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[0,5[	2.5	5	0.004762	0.004762	0.000952
[5,10[	7.5	56	0.053333	0.058095	0.010667
[10,15[	12.5	30	0.028571	0.086667	0.005714
[15,20[	17.5	29	0.027619	0.114286	0.005524
[20,25[	22.5	133	0.126667	0.240952	0.025333
[25,30[	27.5	195	0.185714	0.426667	0.037143
[30,35[	32.5	165	0.157143	0.58381	0.031429
[35,40[	37.5	115	0.109524	0.693333	0.021905
[40,45[	42.5	95	0.090476	0.78381	0.018095
[45,50[	47.5	72	0.068571	0.852381	0.013714
[50,55[	52.5	60	0.057143	0.909524	0.011429
[55,60[	57.5	36	0.034286	0.94381	0.006857
[60,65[	62.5	26	0.024762	0.968571	0.004952
[65,70[	67.5	23	0.021905	0.990476	0.004381
[70,75[	72.5	4	0.00381	0.994286	0.000762
[75,80]	77.5	6	0.005714	1	0.001143

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[0,5[ & 2.5 & 5 & 0.004762 & 0.004762 & 0.000952 \tabularnewline
[5,10[ & 7.5 & 56 & 0.053333 & 0.058095 & 0.010667 \tabularnewline
[10,15[ & 12.5 & 30 & 0.028571 & 0.086667 & 0.005714 \tabularnewline
[15,20[ & 17.5 & 29 & 0.027619 & 0.114286 & 0.005524 \tabularnewline
[20,25[ & 22.5 & 133 & 0.126667 & 0.240952 & 0.025333 \tabularnewline
[25,30[ & 27.5 & 195 & 0.185714 & 0.426667 & 0.037143 \tabularnewline
[30,35[ & 32.5 & 165 & 0.157143 & 0.58381 & 0.031429 \tabularnewline
[35,40[ & 37.5 & 115 & 0.109524 & 0.693333 & 0.021905 \tabularnewline
[40,45[ & 42.5 & 95 & 0.090476 & 0.78381 & 0.018095 \tabularnewline
[45,50[ & 47.5 & 72 & 0.068571 & 0.852381 & 0.013714 \tabularnewline
[50,55[ & 52.5 & 60 & 0.057143 & 0.909524 & 0.011429 \tabularnewline
[55,60[ & 57.5 & 36 & 0.034286 & 0.94381 & 0.006857 \tabularnewline
[60,65[ & 62.5 & 26 & 0.024762 & 0.968571 & 0.004952 \tabularnewline
[65,70[ & 67.5 & 23 & 0.021905 & 0.990476 & 0.004381 \tabularnewline
[70,75[ & 72.5 & 4 & 0.00381 & 0.994286 & 0.000762 \tabularnewline
[75,80] & 77.5 & 6 & 0.005714 & 1 & 0.001143 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114299&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]5[/C][C]0.004762[/C][C]0.004762[/C][C]0.000952[/C][/ROW]
[ROW][C][5,10[[/C][C]7.5[/C][C]56[/C][C]0.053333[/C][C]0.058095[/C][C]0.010667[/C][/ROW]
[ROW][C][10,15[[/C][C]12.5[/C][C]30[/C][C]0.028571[/C][C]0.086667[/C][C]0.005714[/C][/ROW]
[ROW][C][15,20[[/C][C]17.5[/C][C]29[/C][C]0.027619[/C][C]0.114286[/C][C]0.005524[/C][/ROW]
[ROW][C][20,25[[/C][C]22.5[/C][C]133[/C][C]0.126667[/C][C]0.240952[/C][C]0.025333[/C][/ROW]
[ROW][C][25,30[[/C][C]27.5[/C][C]195[/C][C]0.185714[/C][C]0.426667[/C][C]0.037143[/C][/ROW]
[ROW][C][30,35[[/C][C]32.5[/C][C]165[/C][C]0.157143[/C][C]0.58381[/C][C]0.031429[/C][/ROW]
[ROW][C][35,40[[/C][C]37.5[/C][C]115[/C][C]0.109524[/C][C]0.693333[/C][C]0.021905[/C][/ROW]
[ROW][C][40,45[[/C][C]42.5[/C][C]95[/C][C]0.090476[/C][C]0.78381[/C][C]0.018095[/C][/ROW]
[ROW][C][45,50[[/C][C]47.5[/C][C]72[/C][C]0.068571[/C][C]0.852381[/C][C]0.013714[/C][/ROW]
[ROW][C][50,55[[/C][C]52.5[/C][C]60[/C][C]0.057143[/C][C]0.909524[/C][C]0.011429[/C][/ROW]
[ROW][C][55,60[[/C][C]57.5[/C][C]36[/C][C]0.034286[/C][C]0.94381[/C][C]0.006857[/C][/ROW]
[ROW][C][60,65[[/C][C]62.5[/C][C]26[/C][C]0.024762[/C][C]0.968571[/C][C]0.004952[/C][/ROW]
[ROW][C][65,70[[/C][C]67.5[/C][C]23[/C][C]0.021905[/C][C]0.990476[/C][C]0.004381[/C][/ROW]
[ROW][C][70,75[[/C][C]72.5[/C][C]4[/C][C]0.00381[/C][C]0.994286[/C][C]0.000762[/C][/ROW]
[ROW][C][75,80][/C][C]77.5[/C][C]6[/C][C]0.005714[/C][C]1[/C][C]0.001143[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114299&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114299&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	5	0.004762	0.004762	0.000952
[5,10[	7.5	56	0.053333	0.058095	0.010667
[10,15[	12.5	30	0.028571	0.086667	0.005714
[15,20[	17.5	29	0.027619	0.114286	0.005524
[20,25[	22.5	133	0.126667	0.240952	0.025333
[25,30[	27.5	195	0.185714	0.426667	0.037143
[30,35[	32.5	165	0.157143	0.58381	0.031429
[35,40[	37.5	115	0.109524	0.693333	0.021905
[40,45[	42.5	95	0.090476	0.78381	0.018095
[45,50[	47.5	72	0.068571	0.852381	0.013714
[50,55[	52.5	60	0.057143	0.909524	0.011429
[55,60[	57.5	36	0.034286	0.94381	0.006857
[60,65[	62.5	26	0.024762	0.968571	0.004952
[65,70[	67.5	23	0.021905	0.990476	0.004381
[70,75[	72.5	4	0.00381	0.994286	0.000762
[75,80]	77.5	6	0.005714	1	0.001143

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par2 = blue ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = ; par2 = blue ; 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