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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_histogram.wasp
Title produced by softwareHistogram
Date of computationMon, 24 Nov 2014 19:18:00 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Nov/24/t1416856701kw816bgtze8pmci.htm/, Retrieved Wed, 26 Aug 2026 22:26:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=258425, Retrieved Wed, 26 Aug 2026 22:26:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact330

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [Two-Way ANOVA] [2010-11-30 21:42:30] [74be16979710d4c4e7c6647856088456]
- RM    [Two-Way ANOVA] [Two-Way ANOVA - C...] [2011-11-28 17:22:56] [98fd0e87c3eb04e0cc2efde01dbafab6]
- RMPD    [Histogram, QQplot and Density] [histogram] [2014-11-24 17:43:49] [c1133c4b5a8b68edf5e43c0b43de7eea]
- RMP         [Histogram] [histogram] [2014-11-24 19:18:00] [3b910dc2b6a04ceb3595d6f4c651f102] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4
5
3
4
5
3
7
5
6
3
2
4
5
2
3
6
4
4
6
2
3
5
4
2
7
1
4
4
7
4
3
3
3
3
2
5
5
3
6
2
8
9
10
7
8
9
10
6
6
7
8
9
8
7
5
11
7
8
10
9
3
5
4
2
6
1
4
4
5
4
3
3
4
3
2
5
4
3
6
2

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258425&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258425&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258425&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 time1 seconds
R Server'George Udny Yule' @ yule.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[1,2[1.520.0250.0250.025
[2,3[2.590.11250.13750.1125
[3,4[3.5150.18750.3250.1875
[4,5[4.5150.18750.51250.1875
[5,6[5.5110.13750.650.1375
[6,7[6.580.10.750.1
[7,8[7.570.08750.83750.0875
[8,9[8.550.06250.90.0625
[9,10[9.540.050.950.05
[10,11]10.540.0510.05

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[1,2[ & 1.5 & 2 & 0.025 & 0.025 & 0.025 \tabularnewline
[2,3[ & 2.5 & 9 & 0.1125 & 0.1375 & 0.1125 \tabularnewline
[3,4[ & 3.5 & 15 & 0.1875 & 0.325 & 0.1875 \tabularnewline
[4,5[ & 4.5 & 15 & 0.1875 & 0.5125 & 0.1875 \tabularnewline
[5,6[ & 5.5 & 11 & 0.1375 & 0.65 & 0.1375 \tabularnewline
[6,7[ & 6.5 & 8 & 0.1 & 0.75 & 0.1 \tabularnewline
[7,8[ & 7.5 & 7 & 0.0875 & 0.8375 & 0.0875 \tabularnewline
[8,9[ & 8.5 & 5 & 0.0625 & 0.9 & 0.0625 \tabularnewline
[9,10[ & 9.5 & 4 & 0.05 & 0.95 & 0.05 \tabularnewline
[10,11] & 10.5 & 4 & 0.05 & 1 & 0.05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258425&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][1,2[[/C][C]1.5[/C][C]2[/C][C]0.025[/C][C]0.025[/C][C]0.025[/C][/ROW]
[ROW][C][2,3[[/C][C]2.5[/C][C]9[/C][C]0.1125[/C][C]0.1375[/C][C]0.1125[/C][/ROW]
[ROW][C][3,4[[/C][C]3.5[/C][C]15[/C][C]0.1875[/C][C]0.325[/C][C]0.1875[/C][/ROW]
[ROW][C][4,5[[/C][C]4.5[/C][C]15[/C][C]0.1875[/C][C]0.5125[/C][C]0.1875[/C][/ROW]
[ROW][C][5,6[[/C][C]5.5[/C][C]11[/C][C]0.1375[/C][C]0.65[/C][C]0.1375[/C][/ROW]
[ROW][C][6,7[[/C][C]6.5[/C][C]8[/C][C]0.1[/C][C]0.75[/C][C]0.1[/C][/ROW]
[ROW][C][7,8[[/C][C]7.5[/C][C]7[/C][C]0.0875[/C][C]0.8375[/C][C]0.0875[/C][/ROW]
[ROW][C][8,9[[/C][C]8.5[/C][C]5[/C][C]0.0625[/C][C]0.9[/C][C]0.0625[/C][/ROW]
[ROW][C][9,10[[/C][C]9.5[/C][C]4[/C][C]0.05[/C][C]0.95[/C][C]0.05[/C][/ROW]
[ROW][C][10,11][/C][C]10.5[/C][C]4[/C][C]0.05[/C][C]1[/C][C]0.05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258425&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258425&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
[1,2[1.520.0250.0250.025
[2,3[2.590.11250.13750.1125
[3,4[3.5150.18750.3250.1875
[4,5[4.5150.18750.51250.1875
[5,6[5.5110.13750.650.1375
[6,7[6.580.10.750.1
[7,8[7.570.08750.83750.0875
[8,9[8.550.06250.90.0625
[9,10[9.540.050.950.05
[10,11]10.540.0510.05


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')
}