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Author's title

Author

*Unverified author*

R Software Module

rwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Tue, 30 Apr 2013 13:30:33 -0400

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/2013/Apr/30/t13673430701s1zq876n3phf08.htm/, Retrieved Fri, 01 May 2026 05:34:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208620, Retrieved Fri, 01 May 2026 05:34:21 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

374

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

-     [Histogram] [werkloosheidsindex] [2013-01-31 16:56:44] [055083fd24258e53a1cf88f4c405329e]
- R     [Histogram] [Werkloosheidsgraad] [2013-02-07 10:55:28] [74be16979710d4c4e7c6647856088456]
- R       [Histogram] [werkloosheidsgraa...] [2013-02-07 18:01:31] [055083fd24258e53a1cf88f4c405329e]
-           [Histogram] [Aangepast Werkloo...] [2013-02-07 19:36:37] [055083fd24258e53a1cf88f4c405329e]
- R P           [Histogram] [Opdracht 2 Bins 24] [2013-04-30 17:30:33] [66913edeccd589e3e35c84ad0be9abda] [Current]
- R  D            [Histogram] [Opdracht 2 bins 24 ] [2013-04-30 17:34:26] [055083fd24258e53a1cf88f4c405329e] 

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Dataseries X:

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Histogram

Boxplots

8.5
8.5
8.5
8.6
8.6
8.4
8.2
8
8
8
8
7.9
7.9
7.9
7.9
8
7.9
7.4
7.2
7
6.9
7.1
7.2
7.2
7.1
6.9
6.8
6.8
6.8
6.9
7.1
7.2
7.2
7.1
7.1
7.2
7.5
7.7
7.8
7.7
7.7
7.8
8
8.1
8.1
8
8.1
8.2
8.4
8.5
8.5
8.5
8.5
8.5
8.4
8.3
8.2
8.1
7.9
7.6
7.3
7.1
7
7.1
7.1
7.1
7.3
7.3
7.3
7.2
7.2
7.1

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	'Sir Maurice George Kendall' @ kendall.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 & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208620&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208620&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208620&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[6.8,6.9[	6.85	3	0.041667	0.041667	0.416667
[6.9,7[	6.95	3	0.041667	0.083333	0.416667
[7,7.1[	7.05	2	0.027778	0.111111	0.277778
[7.1,7.2[	7.15	10	0.138889	0.25	1.388889
[7.2,7.3[	7.25	8	0.111111	0.361111	1.111111
[7.3,7.4[	7.35	4	0.055556	0.416667	0.555556
[7.4,7.5[	7.45	1	0.013889	0.430556	0.138889
[7.5,7.6[	7.55	1	0.013889	0.444444	0.138889
[7.6,7.7[	7.65	1	0.013889	0.458333	0.138889
[7.7,7.8[	7.75	3	0.041667	0.5	0.416667
[7.8,7.9[	7.85	2	0.027778	0.527778	0.277778
[7.9,8[	7.95	6	0.083333	0.611111	0.833333
[8,8.1[	8.05	7	0.097222	0.708333	0.972222
[8.1,8.2[	8.15	4	0.055556	0.763889	0.555556
[8.2,8.3[	8.25	3	0.041667	0.805556	0.416667
[8.3,8.4[	8.35	1	0.013889	0.819444	0.138889
[8.4,8.5[	8.45	3	0.041667	0.861111	0.416667
[8.5,8.6]	8.55	10	0.138889	1	1.388889

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[6.8,6.9[ & 6.85 & 3 & 0.041667 & 0.041667 & 0.416667 \tabularnewline
[6.9,7[ & 6.95 & 3 & 0.041667 & 0.083333 & 0.416667 \tabularnewline
[7,7.1[ & 7.05 & 2 & 0.027778 & 0.111111 & 0.277778 \tabularnewline
[7.1,7.2[ & 7.15 & 10 & 0.138889 & 0.25 & 1.388889 \tabularnewline
[7.2,7.3[ & 7.25 & 8 & 0.111111 & 0.361111 & 1.111111 \tabularnewline
[7.3,7.4[ & 7.35 & 4 & 0.055556 & 0.416667 & 0.555556 \tabularnewline
[7.4,7.5[ & 7.45 & 1 & 0.013889 & 0.430556 & 0.138889 \tabularnewline
[7.5,7.6[ & 7.55 & 1 & 0.013889 & 0.444444 & 0.138889 \tabularnewline
[7.6,7.7[ & 7.65 & 1 & 0.013889 & 0.458333 & 0.138889 \tabularnewline
[7.7,7.8[ & 7.75 & 3 & 0.041667 & 0.5 & 0.416667 \tabularnewline
[7.8,7.9[ & 7.85 & 2 & 0.027778 & 0.527778 & 0.277778 \tabularnewline
[7.9,8[ & 7.95 & 6 & 0.083333 & 0.611111 & 0.833333 \tabularnewline
[8,8.1[ & 8.05 & 7 & 0.097222 & 0.708333 & 0.972222 \tabularnewline
[8.1,8.2[ & 8.15 & 4 & 0.055556 & 0.763889 & 0.555556 \tabularnewline
[8.2,8.3[ & 8.25 & 3 & 0.041667 & 0.805556 & 0.416667 \tabularnewline
[8.3,8.4[ & 8.35 & 1 & 0.013889 & 0.819444 & 0.138889 \tabularnewline
[8.4,8.5[ & 8.45 & 3 & 0.041667 & 0.861111 & 0.416667 \tabularnewline
[8.5,8.6] & 8.55 & 10 & 0.138889 & 1 & 1.388889 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208620&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][6.8,6.9[[/C][C]6.85[/C][C]3[/C][C]0.041667[/C][C]0.041667[/C][C]0.416667[/C][/ROW]
[ROW][C][6.9,7[[/C][C]6.95[/C][C]3[/C][C]0.041667[/C][C]0.083333[/C][C]0.416667[/C][/ROW]
[ROW][C][7,7.1[[/C][C]7.05[/C][C]2[/C][C]0.027778[/C][C]0.111111[/C][C]0.277778[/C][/ROW]
[ROW][C][7.1,7.2[[/C][C]7.15[/C][C]10[/C][C]0.138889[/C][C]0.25[/C][C]1.388889[/C][/ROW]
[ROW][C][7.2,7.3[[/C][C]7.25[/C][C]8[/C][C]0.111111[/C][C]0.361111[/C][C]1.111111[/C][/ROW]
[ROW][C][7.3,7.4[[/C][C]7.35[/C][C]4[/C][C]0.055556[/C][C]0.416667[/C][C]0.555556[/C][/ROW]
[ROW][C][7.4,7.5[[/C][C]7.45[/C][C]1[/C][C]0.013889[/C][C]0.430556[/C][C]0.138889[/C][/ROW]
[ROW][C][7.5,7.6[[/C][C]7.55[/C][C]1[/C][C]0.013889[/C][C]0.444444[/C][C]0.138889[/C][/ROW]
[ROW][C][7.6,7.7[[/C][C]7.65[/C][C]1[/C][C]0.013889[/C][C]0.458333[/C][C]0.138889[/C][/ROW]
[ROW][C][7.7,7.8[[/C][C]7.75[/C][C]3[/C][C]0.041667[/C][C]0.5[/C][C]0.416667[/C][/ROW]
[ROW][C][7.8,7.9[[/C][C]7.85[/C][C]2[/C][C]0.027778[/C][C]0.527778[/C][C]0.277778[/C][/ROW]
[ROW][C][7.9,8[[/C][C]7.95[/C][C]6[/C][C]0.083333[/C][C]0.611111[/C][C]0.833333[/C][/ROW]
[ROW][C][8,8.1[[/C][C]8.05[/C][C]7[/C][C]0.097222[/C][C]0.708333[/C][C]0.972222[/C][/ROW]
[ROW][C][8.1,8.2[[/C][C]8.15[/C][C]4[/C][C]0.055556[/C][C]0.763889[/C][C]0.555556[/C][/ROW]
[ROW][C][8.2,8.3[[/C][C]8.25[/C][C]3[/C][C]0.041667[/C][C]0.805556[/C][C]0.416667[/C][/ROW]
[ROW][C][8.3,8.4[[/C][C]8.35[/C][C]1[/C][C]0.013889[/C][C]0.819444[/C][C]0.138889[/C][/ROW]
[ROW][C][8.4,8.5[[/C][C]8.45[/C][C]3[/C][C]0.041667[/C][C]0.861111[/C][C]0.416667[/C][/ROW]
[ROW][C][8.5,8.6][/C][C]8.55[/C][C]10[/C][C]0.138889[/C][C]1[/C][C]1.388889[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208620&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208620&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
[6.8,6.9[	6.85	3	0.041667	0.041667	0.416667
[6.9,7[	6.95	3	0.041667	0.083333	0.416667
[7,7.1[	7.05	2	0.027778	0.111111	0.277778
[7.1,7.2[	7.15	10	0.138889	0.25	1.388889
[7.2,7.3[	7.25	8	0.111111	0.361111	1.111111
[7.3,7.4[	7.35	4	0.055556	0.416667	0.555556
[7.4,7.5[	7.45	1	0.013889	0.430556	0.138889
[7.5,7.6[	7.55	1	0.013889	0.444444	0.138889
[7.6,7.7[	7.65	1	0.013889	0.458333	0.138889
[7.7,7.8[	7.75	3	0.041667	0.5	0.416667
[7.8,7.9[	7.85	2	0.027778	0.527778	0.277778
[7.9,8[	7.95	6	0.083333	0.611111	0.833333
[8,8.1[	8.05	7	0.097222	0.708333	0.972222
[8.1,8.2[	8.15	4	0.055556	0.763889	0.555556
[8.2,8.3[	8.25	3	0.041667	0.805556	0.416667
[8.3,8.4[	8.35	1	0.013889	0.819444	0.138889
[8.4,8.5[	8.45	3	0.041667	0.861111	0.416667
[8.5,8.6]	8.55	10	0.138889	1	1.388889

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 24 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 24 ; 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