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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_histogram.wasp
Title produced by softwareHistogram
Date of computationThu, 07 Feb 2013 13:01:31 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Feb/07/t1360260125bus652onsd7tc4n.htm/, Retrieved Tue, 10 Feb 2026 14:22:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=206140, Retrieved Tue, 10 Feb 2026 14:22:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact377

Tree of Dependent Computations

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] [66913edeccd589e3e35c84ad0be9abda] [Current]
- RMP         [Kernel Density Estimation] [Dichtheid werkloo...] [2013-02-07 18:37:33] [055083fd24258e53a1cf88f4c405329e]
- R             [Kernel Density Estimation] [Dichtheid werkloo...] [2013-02-07 18:46:41] [055083fd24258e53a1cf88f4c405329e]
-             [Histogram] [Aangepast Werkloo...] [2013-02-07 19:36:37] [055083fd24258e53a1cf88f4c405329e]
- R P           [Histogram] [Opdracht 2 Bins 24] [2013-04-30 17:30:33] [055083fd24258e53a1cf88f4c405329e]
- R  D            [Histogram] [Opdracht 2 bins 24 ] [2013-04-30 17:34:26] [055083fd24258e53a1cf88f4c405329e]
-             [Histogram] [Aangepaste werklo...] [2013-02-07 19:39:59] [055083fd24258e53a1cf88f4c405329e]
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Dataset

Dataseries X:
Download CSV
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

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206140&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 Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206140&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206140&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[6.8,7[6.960.0833330.0833330.416667
[7,7.2[7.1120.1666670.250.833333
[7.2,7.4[7.3120.1666670.4166670.833333
[7.4,7.6[7.520.0277780.4444440.138889
[7.6,7.8[7.740.0555560.50.277778
[7.8,8[7.980.1111110.6111110.555556
[8,8.2[8.1110.1527780.7638890.763889
[8.2,8.4[8.340.0555560.8194440.277778
[8.4,8.6]8.5130.18055610.902778

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[6.8,7[ & 6.9 & 6 & 0.083333 & 0.083333 & 0.416667 \tabularnewline
[7,7.2[ & 7.1 & 12 & 0.166667 & 0.25 & 0.833333 \tabularnewline
[7.2,7.4[ & 7.3 & 12 & 0.166667 & 0.416667 & 0.833333 \tabularnewline
[7.4,7.6[ & 7.5 & 2 & 0.027778 & 0.444444 & 0.138889 \tabularnewline
[7.6,7.8[ & 7.7 & 4 & 0.055556 & 0.5 & 0.277778 \tabularnewline
[7.8,8[ & 7.9 & 8 & 0.111111 & 0.611111 & 0.555556 \tabularnewline
[8,8.2[ & 8.1 & 11 & 0.152778 & 0.763889 & 0.763889 \tabularnewline
[8.2,8.4[ & 8.3 & 4 & 0.055556 & 0.819444 & 0.277778 \tabularnewline
[8.4,8.6] & 8.5 & 13 & 0.180556 & 1 & 0.902778 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=206140&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][6.8,7[[/C][C]6.9[/C][C]6[/C][C]0.083333[/C][C]0.083333[/C][C]0.416667[/C][/ROW]
[ROW][C][7,7.2[[/C][C]7.1[/C][C]12[/C][C]0.166667[/C][C]0.25[/C][C]0.833333[/C][/ROW]
[ROW][C][7.2,7.4[[/C][C]7.3[/C][C]12[/C][C]0.166667[/C][C]0.416667[/C][C]0.833333[/C][/ROW]
[ROW][C][7.4,7.6[[/C][C]7.5[/C][C]2[/C][C]0.027778[/C][C]0.444444[/C][C]0.138889[/C][/ROW]
[ROW][C][7.6,7.8[[/C][C]7.7[/C][C]4[/C][C]0.055556[/C][C]0.5[/C][C]0.277778[/C][/ROW]
[ROW][C][7.8,8[[/C][C]7.9[/C][C]8[/C][C]0.111111[/C][C]0.611111[/C][C]0.555556[/C][/ROW]
[ROW][C][8,8.2[[/C][C]8.1[/C][C]11[/C][C]0.152778[/C][C]0.763889[/C][C]0.763889[/C][/ROW]
[ROW][C][8.2,8.4[[/C][C]8.3[/C][C]4[/C][C]0.055556[/C][C]0.819444[/C][C]0.277778[/C][/ROW]
[ROW][C][8.4,8.6][/C][C]8.5[/C][C]13[/C][C]0.180556[/C][C]1[/C][C]0.902778[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=206140&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=206140&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[6.8,7[6.960.0833330.0833330.416667
[7,7.2[7.1120.1666670.250.833333
[7.2,7.4[7.3120.1666670.4166670.833333
[7.4,7.6[7.520.0277780.4444440.138889
[7.6,7.8[7.740.0555560.50.277778
[7.8,8[7.980.1111110.6111110.555556
[8,8.2[8.1110.1527780.7638890.763889
[8.2,8.4[8.340.0555560.8194440.277778
[8.4,8.6]8.5130.18055610.902778


Figures (Output of Computation)

Input Parameters & R Code

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.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')
}