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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 computationMon, 13 Nov 2023 06:30:11 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2023/Nov/13/t1699853512ss8xnk0a98mfcll.htm/, Retrieved Wed, 12 Aug 2026 19:29:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319989, Retrieved Wed, 12 Aug 2026 19:29:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact245

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [] [2023-11-13 05:30:11] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5	
4	
5	
8	
5	
6	
2	
5	
4	
8
6	
5	
4	
8	
75	
2	
5	
4	
5	
11
10	
9	
8	
5	
2	
64	
5	
2	
12	
5
1	
12	
11	
18	
10	
9	
9	
8	
4	
1
10	
20	
13	
13	
19	
0	
15	
9	
8	
2
17	
11	
10	
2	
16	
15	
3	
12	
17	
9
11	
10	
0	
12	
11	
6	
12	
16	
7	
19
11	
9	
14	
17	
5	
14	
4	
10	
18	
10
18	
10	
13	
11	
14	
13	
12	
11	
10	
20

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319989&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319989&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319989&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[0,10[5440.4888890.4888890.048889
[10,20[15420.4666670.9555560.046667
[20,30[2520.0222220.9777780.002222
[30,40[35000.9777780
[40,50[45000.9777780
[50,60[55000.9777780
[60,70[6510.0111110.9888890.001111
[70,80]7510.01111110.001111

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[0,10[ & 5 & 44 & 0.488889 & 0.488889 & 0.048889 \tabularnewline
[10,20[ & 15 & 42 & 0.466667 & 0.955556 & 0.046667 \tabularnewline
[20,30[ & 25 & 2 & 0.022222 & 0.977778 & 0.002222 \tabularnewline
[30,40[ & 35 & 0 & 0 & 0.977778 & 0 \tabularnewline
[40,50[ & 45 & 0 & 0 & 0.977778 & 0 \tabularnewline
[50,60[ & 55 & 0 & 0 & 0.977778 & 0 \tabularnewline
[60,70[ & 65 & 1 & 0.011111 & 0.988889 & 0.001111 \tabularnewline
[70,80] & 75 & 1 & 0.011111 & 1 & 0.001111 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319989&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][0,10[[/C][C]5[/C][C]44[/C][C]0.488889[/C][C]0.488889[/C][C]0.048889[/C][/ROW]
[ROW][C][10,20[[/C][C]15[/C][C]42[/C][C]0.466667[/C][C]0.955556[/C][C]0.046667[/C][/ROW]
[ROW][C][20,30[[/C][C]25[/C][C]2[/C][C]0.022222[/C][C]0.977778[/C][C]0.002222[/C][/ROW]
[ROW][C][30,40[[/C][C]35[/C][C]0[/C][C]0[/C][C]0.977778[/C][C]0[/C][/ROW]
[ROW][C][40,50[[/C][C]45[/C][C]0[/C][C]0[/C][C]0.977778[/C][C]0[/C][/ROW]
[ROW][C][50,60[[/C][C]55[/C][C]0[/C][C]0[/C][C]0.977778[/C][C]0[/C][/ROW]
[ROW][C][60,70[[/C][C]65[/C][C]1[/C][C]0.011111[/C][C]0.988889[/C][C]0.001111[/C][/ROW]
[ROW][C][70,80][/C][C]75[/C][C]1[/C][C]0.011111[/C][C]1[/C][C]0.001111[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319989&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319989&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
[0,10[5440.4888890.4888890.048889
[10,20[15420.4666670.9555560.046667
[20,30[2520.0222220.9777780.002222
[30,40[35000.9777780
[40,50[45000.9777780
[50,60[55000.9777780
[60,70[6510.0111110.9888890.001111
[70,80]7510.01111110.001111


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par2 = blue ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = ; par2 = blue ; par3 = FALSE ; par4 = Unknown ;
R code (references can be found in the software module):
par4 <- 'Interval/Ratio'
par3 <- 'FALSE'
par2 <- 'blue'
par1 <- ''
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)
if (par4 == '11-point Likert') par1 <- c(1:11 - 0.5, 11.5)
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,'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')
}