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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

Sat, 04 Oct 2008 08:46:12 -0600

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/2008/Oct/04/t1223131650ynbcr799bcprmdw.htm/, Retrieved Sun, 26 Apr 2026 19:09:26 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=14988, Retrieved Sun, 26 Apr 2026 19:09:26 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

405

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

-       [Histogram] [frequentietabel -...] [2008-10-04 14:46:12] [5a908f428dae694075b2a25ba39af7a8] [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	2 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=14988&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=14988&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=14988&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	'George Udny Yule' @ 72.249.76.132

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[5,10[	7.5	8	0.008889	0.008889	0.001778
[10,15[	12.5	43	0.047778	0.056667	0.009556
[15,20[	17.5	109	0.121111	0.177778	0.024222
[20,25[	22.5	300	0.333333	0.511111	0.066667
[25,30[	27.5	302	0.335556	0.846667	0.067111
[30,35[	32.5	80	0.088889	0.935556	0.017778
[35,40[	37.5	21	0.023333	0.958889	0.004667
[40,45[	42.5	20	0.022222	0.981111	0.004444
[45,50[	47.5	0	0	0.981111	0
[50,55[	52.5	16	0.017778	0.998889	0.003556
[55,60[	57.5	0	0	0.998889	0
[60,65]	62.5	1	0.001111	1	0.000222

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[5,10[ & 7.5 & 8 & 0.008889 & 0.008889 & 0.001778 \tabularnewline
[10,15[ & 12.5 & 43 & 0.047778 & 0.056667 & 0.009556 \tabularnewline
[15,20[ & 17.5 & 109 & 0.121111 & 0.177778 & 0.024222 \tabularnewline
[20,25[ & 22.5 & 300 & 0.333333 & 0.511111 & 0.066667 \tabularnewline
[25,30[ & 27.5 & 302 & 0.335556 & 0.846667 & 0.067111 \tabularnewline
[30,35[ & 32.5 & 80 & 0.088889 & 0.935556 & 0.017778 \tabularnewline
[35,40[ & 37.5 & 21 & 0.023333 & 0.958889 & 0.004667 \tabularnewline
[40,45[ & 42.5 & 20 & 0.022222 & 0.981111 & 0.004444 \tabularnewline
[45,50[ & 47.5 & 0 & 0 & 0.981111 & 0 \tabularnewline
[50,55[ & 52.5 & 16 & 0.017778 & 0.998889 & 0.003556 \tabularnewline
[55,60[ & 57.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[60,65] & 62.5 & 1 & 0.001111 & 1 & 0.000222 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=14988&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][5,10[[/C][C]7.5[/C][C]8[/C][C]0.008889[/C][C]0.008889[/C][C]0.001778[/C][/ROW]
[ROW][C][10,15[[/C][C]12.5[/C][C]43[/C][C]0.047778[/C][C]0.056667[/C][C]0.009556[/C][/ROW]
[ROW][C][15,20[[/C][C]17.5[/C][C]109[/C][C]0.121111[/C][C]0.177778[/C][C]0.024222[/C][/ROW]
[ROW][C][20,25[[/C][C]22.5[/C][C]300[/C][C]0.333333[/C][C]0.511111[/C][C]0.066667[/C][/ROW]
[ROW][C][25,30[[/C][C]27.5[/C][C]302[/C][C]0.335556[/C][C]0.846667[/C][C]0.067111[/C][/ROW]
[ROW][C][30,35[[/C][C]32.5[/C][C]80[/C][C]0.088889[/C][C]0.935556[/C][C]0.017778[/C][/ROW]
[ROW][C][35,40[[/C][C]37.5[/C][C]21[/C][C]0.023333[/C][C]0.958889[/C][C]0.004667[/C][/ROW]
[ROW][C][40,45[[/C][C]42.5[/C][C]20[/C][C]0.022222[/C][C]0.981111[/C][C]0.004444[/C][/ROW]
[ROW][C][45,50[[/C][C]47.5[/C][C]0[/C][C]0[/C][C]0.981111[/C][C]0[/C][/ROW]
[ROW][C][50,55[[/C][C]52.5[/C][C]16[/C][C]0.017778[/C][C]0.998889[/C][C]0.003556[/C][/ROW]
[ROW][C][55,60[[/C][C]57.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][60,65][/C][C]62.5[/C][C]1[/C][C]0.001111[/C][C]1[/C][C]0.000222[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=14988&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=14988&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
[5,10[	7.5	8	0.008889	0.008889	0.001778
[10,15[	12.5	43	0.047778	0.056667	0.009556
[15,20[	17.5	109	0.121111	0.177778	0.024222
[20,25[	22.5	300	0.333333	0.511111	0.066667
[25,30[	27.5	302	0.335556	0.846667	0.067111
[30,35[	32.5	80	0.088889	0.935556	0.017778
[35,40[	37.5	21	0.023333	0.958889	0.004667
[40,45[	42.5	20	0.022222	0.981111	0.004444
[45,50[	47.5	0	0	0.981111	0
[50,55[	52.5	16	0.017778	0.998889	0.003556
[55,60[	57.5	0	0	0.998889	0
[60,65]	62.5	1	0.001111	1	0.000222

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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

Parameters (R input):

par1 = ; 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.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)
}
dev.off()
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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code