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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

Thu, 18 Dec 2014 13:54:51 +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/2014/Dec/18/t1418910930kizuvvxx7dap7u9.htm/, Retrieved Wed, 11 Feb 2026 21:45:10 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270936, Retrieved Wed, 11 Feb 2026 21:45:10 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

323

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     [Histogram] [] [2011-09-27 13:07:18] [f381152ed5e87cd86e751bfc27f55bf8]
- RMPD      [Histogram] [berekening onderz...] [2014-12-18 13:54:51] [b2b89044d28819da9d3c2dc0ea48db54] [Current]
-    D        [Histogram] [berekening onderz...] [2014-12-18 13:56:27] [dd7a37d66cc3f8699a204e53c0324369] 

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Dataseries X:

Download CSV

Histogram

Boxplots

11.3
9.6
16.1
13.4
12.7
12.3
7.9
12.3
11.6
6.7
12.1
5.7
8
13.3
9.1
12.2
8.8
14.6
12.6
9.9
10.5
13.4
10.9
4.3
10.3
11.8
11.2
11.4
8.6
13.2
12.6
5.6
9.9
8.8
7.7
9
7.3
11.4
13.6
7.9
10.7
10.3
8.3
9.6
14.2
8.5
13.5
4.9
6.4
9.6
11.6
11.1

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	'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270936&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270936&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270936&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[4,5[	4.5	2	0.038462	0.038462	0.038462
[5,6[	5.5	2	0.038462	0.076923	0.038462
[6,7[	6.5	2	0.038462	0.115385	0.038462
[7,8[	7.5	4	0.076923	0.192308	0.076923
[8,9[	8.5	6	0.115385	0.307692	0.115385
[9,10[	9.5	7	0.134615	0.442308	0.134615
[10,11[	10.5	5	0.096154	0.538462	0.096154
[11,12[	11.5	8	0.153846	0.692308	0.153846
[12,13[	12.5	7	0.134615	0.826923	0.134615
[13,14[	13.5	6	0.115385	0.942308	0.115385
[14,15[	14.5	2	0.038462	0.980769	0.038462
[15,16[	15.5	0	0	0.980769	0
[16,17]	16.5	1	0.019231	1	0.019231

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[4,5[ & 4.5 & 2 & 0.038462 & 0.038462 & 0.038462 \tabularnewline
[5,6[ & 5.5 & 2 & 0.038462 & 0.076923 & 0.038462 \tabularnewline
[6,7[ & 6.5 & 2 & 0.038462 & 0.115385 & 0.038462 \tabularnewline
[7,8[ & 7.5 & 4 & 0.076923 & 0.192308 & 0.076923 \tabularnewline
[8,9[ & 8.5 & 6 & 0.115385 & 0.307692 & 0.115385 \tabularnewline
[9,10[ & 9.5 & 7 & 0.134615 & 0.442308 & 0.134615 \tabularnewline
[10,11[ & 10.5 & 5 & 0.096154 & 0.538462 & 0.096154 \tabularnewline
[11,12[ & 11.5 & 8 & 0.153846 & 0.692308 & 0.153846 \tabularnewline
[12,13[ & 12.5 & 7 & 0.134615 & 0.826923 & 0.134615 \tabularnewline
[13,14[ & 13.5 & 6 & 0.115385 & 0.942308 & 0.115385 \tabularnewline
[14,15[ & 14.5 & 2 & 0.038462 & 0.980769 & 0.038462 \tabularnewline
[15,16[ & 15.5 & 0 & 0 & 0.980769 & 0 \tabularnewline
[16,17] & 16.5 & 1 & 0.019231 & 1 & 0.019231 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270936&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][4,5[[/C][C]4.5[/C][C]2[/C][C]0.038462[/C][C]0.038462[/C][C]0.038462[/C][/ROW]
[ROW][C][5,6[[/C][C]5.5[/C][C]2[/C][C]0.038462[/C][C]0.076923[/C][C]0.038462[/C][/ROW]
[ROW][C][6,7[[/C][C]6.5[/C][C]2[/C][C]0.038462[/C][C]0.115385[/C][C]0.038462[/C][/ROW]
[ROW][C][7,8[[/C][C]7.5[/C][C]4[/C][C]0.076923[/C][C]0.192308[/C][C]0.076923[/C][/ROW]
[ROW][C][8,9[[/C][C]8.5[/C][C]6[/C][C]0.115385[/C][C]0.307692[/C][C]0.115385[/C][/ROW]
[ROW][C][9,10[[/C][C]9.5[/C][C]7[/C][C]0.134615[/C][C]0.442308[/C][C]0.134615[/C][/ROW]
[ROW][C][10,11[[/C][C]10.5[/C][C]5[/C][C]0.096154[/C][C]0.538462[/C][C]0.096154[/C][/ROW]
[ROW][C][11,12[[/C][C]11.5[/C][C]8[/C][C]0.153846[/C][C]0.692308[/C][C]0.153846[/C][/ROW]
[ROW][C][12,13[[/C][C]12.5[/C][C]7[/C][C]0.134615[/C][C]0.826923[/C][C]0.134615[/C][/ROW]
[ROW][C][13,14[[/C][C]13.5[/C][C]6[/C][C]0.115385[/C][C]0.942308[/C][C]0.115385[/C][/ROW]
[ROW][C][14,15[[/C][C]14.5[/C][C]2[/C][C]0.038462[/C][C]0.980769[/C][C]0.038462[/C][/ROW]
[ROW][C][15,16[[/C][C]15.5[/C][C]0[/C][C]0[/C][C]0.980769[/C][C]0[/C][/ROW]
[ROW][C][16,17][/C][C]16.5[/C][C]1[/C][C]0.019231[/C][C]1[/C][C]0.019231[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270936&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270936&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
[4,5[	4.5	2	0.038462	0.038462	0.038462
[5,6[	5.5	2	0.038462	0.076923	0.038462
[6,7[	6.5	2	0.038462	0.115385	0.038462
[7,8[	7.5	4	0.076923	0.192308	0.076923
[8,9[	8.5	6	0.115385	0.307692	0.115385
[9,10[	9.5	7	0.134615	0.442308	0.134615
[10,11[	10.5	5	0.096154	0.538462	0.096154
[11,12[	11.5	8	0.153846	0.692308	0.153846
[12,13[	12.5	7	0.134615	0.826923	0.134615
[13,14[	13.5	6	0.115385	0.942308	0.115385
[14,15[	14.5	2	0.038462	0.980769	0.038462
[15,16[	15.5	0	0	0.980769	0
[16,17]	16.5	1	0.019231	1	0.019231

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 10 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 10 ; 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