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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 computationSun, 21 Feb 2016 09:37:54 +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/2016/Feb/21/t1456047521s135f0bdfctvum2.htm/, Retrieved Tue, 21 Apr 2026 19:00:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=292365, Retrieved Tue, 21 Apr 2026 19:00:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact402

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [] [2016-02-21 09:37:54] [383002b29a4d7fe40259202a4bc884b2] [Current]
- RMP     [Kernel Density Estimation] [] [2016-02-22 18:02:00] [588a76e56dbe7fb46b0fa630eb6cb6b1]
- R P     [Histogram] [] [2016-02-22 18:30:37] [588a76e56dbe7fb46b0fa630eb6cb6b1]
-   P       [Histogram] [] [2016-02-22 18:40:43] [588a76e56dbe7fb46b0fa630eb6cb6b1]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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7

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=292365&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=292365&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=292365&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'Gwilym Jenkins' @ jenkins.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[0,2[120.0019630.0019630.000981
[2,4[3000.0019630
[4,6[530.0029440.0049070.001472
[6,8[7170.0166830.021590.008342
[8,10[9610.0598630.0814520.029931
[10,12[111590.1560350.2374880.078018
[12,14[131040.1020610.3395490.05103
[14,16[154870.477920.8174680.23896
[16,18[17880.0863590.9038270.04318
[18,20[19550.0539740.9578020.026987
[20,22[2190.0088320.9666340.004416
[22,24[23330.0323850.9990190.016192
[24,26[25000.9990190
[26,28]2710.00098110.000491

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[0,2[ & 1 & 2 & 0.001963 & 0.001963 & 0.000981 \tabularnewline
[2,4[ & 3 & 0 & 0 & 0.001963 & 0 \tabularnewline
[4,6[ & 5 & 3 & 0.002944 & 0.004907 & 0.001472 \tabularnewline
[6,8[ & 7 & 17 & 0.016683 & 0.02159 & 0.008342 \tabularnewline
[8,10[ & 9 & 61 & 0.059863 & 0.081452 & 0.029931 \tabularnewline
[10,12[ & 11 & 159 & 0.156035 & 0.237488 & 0.078018 \tabularnewline
[12,14[ & 13 & 104 & 0.102061 & 0.339549 & 0.05103 \tabularnewline
[14,16[ & 15 & 487 & 0.47792 & 0.817468 & 0.23896 \tabularnewline
[16,18[ & 17 & 88 & 0.086359 & 0.903827 & 0.04318 \tabularnewline
[18,20[ & 19 & 55 & 0.053974 & 0.957802 & 0.026987 \tabularnewline
[20,22[ & 21 & 9 & 0.008832 & 0.966634 & 0.004416 \tabularnewline
[22,24[ & 23 & 33 & 0.032385 & 0.999019 & 0.016192 \tabularnewline
[24,26[ & 25 & 0 & 0 & 0.999019 & 0 \tabularnewline
[26,28] & 27 & 1 & 0.000981 & 1 & 0.000491 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=292365&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][0,2[[/C][C]1[/C][C]2[/C][C]0.001963[/C][C]0.001963[/C][C]0.000981[/C][/ROW]
[ROW][C][2,4[[/C][C]3[/C][C]0[/C][C]0[/C][C]0.001963[/C][C]0[/C][/ROW]
[ROW][C][4,6[[/C][C]5[/C][C]3[/C][C]0.002944[/C][C]0.004907[/C][C]0.001472[/C][/ROW]
[ROW][C][6,8[[/C][C]7[/C][C]17[/C][C]0.016683[/C][C]0.02159[/C][C]0.008342[/C][/ROW]
[ROW][C][8,10[[/C][C]9[/C][C]61[/C][C]0.059863[/C][C]0.081452[/C][C]0.029931[/C][/ROW]
[ROW][C][10,12[[/C][C]11[/C][C]159[/C][C]0.156035[/C][C]0.237488[/C][C]0.078018[/C][/ROW]
[ROW][C][12,14[[/C][C]13[/C][C]104[/C][C]0.102061[/C][C]0.339549[/C][C]0.05103[/C][/ROW]
[ROW][C][14,16[[/C][C]15[/C][C]487[/C][C]0.47792[/C][C]0.817468[/C][C]0.23896[/C][/ROW]
[ROW][C][16,18[[/C][C]17[/C][C]88[/C][C]0.086359[/C][C]0.903827[/C][C]0.04318[/C][/ROW]
[ROW][C][18,20[[/C][C]19[/C][C]55[/C][C]0.053974[/C][C]0.957802[/C][C]0.026987[/C][/ROW]
[ROW][C][20,22[[/C][C]21[/C][C]9[/C][C]0.008832[/C][C]0.966634[/C][C]0.004416[/C][/ROW]
[ROW][C][22,24[[/C][C]23[/C][C]33[/C][C]0.032385[/C][C]0.999019[/C][C]0.016192[/C][/ROW]
[ROW][C][24,26[[/C][C]25[/C][C]0[/C][C]0[/C][C]0.999019[/C][C]0[/C][/ROW]
[ROW][C][26,28][/C][C]27[/C][C]1[/C][C]0.000981[/C][C]1[/C][C]0.000491[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=292365&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=292365&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
[0,2[120.0019630.0019630.000981
[2,4[3000.0019630
[4,6[530.0029440.0049070.001472
[6,8[7170.0166830.021590.008342
[8,10[9610.0598630.0814520.029931
[10,12[111590.1560350.2374880.078018
[12,14[131040.1020610.3395490.05103
[14,16[154870.477920.8174680.23896
[16,18[17880.0863590.9038270.04318
[18,20[19550.0539740.9578020.026987
[20,22[2190.0088320.9666340.004416
[22,24[23330.0323850.9990190.016192
[24,26[25000.9990190
[26,28]2710.00098110.000491


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 {
barplot(mytab <- sort(table(x),T),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')
}