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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, 05 Feb 2015 15:25:27 +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/2015/Feb/05/t1423150034hnqf61asr7o01ks.htm/, Retrieved Wed, 20 May 2026 17:25:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=276761, Retrieved Wed, 20 May 2026 17:25:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact323

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [Faillisementen ee...] [2015-02-05 15:25:27] [9cc41cf98ef45bbf4afe09924481aae1] [Current]
- RM      [Histogram] [gemiddelde wekeli...] [2015-02-05 16:07:21] [e987c12be1fa9f56fc1f6f99845a7dc4]
- RMP     [Kernel Density Estimation] [gemiddelde wekeli...] [2015-02-05 16:12:54] [e987c12be1fa9f56fc1f6f99845a7dc4]
- RMP     [Kernel Density Estimation] [Faillisementen ee...] [2015-02-05 16:12:54] [e987c12be1fa9f56fc1f6f99845a7dc4]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
50
45
43
40
43
47
44
41
31
41
40
31
43
22
17
21
29
23
15
24
24
27
17
22
26
12
13
20
15
23
27
17
22
16
20
8
24
18
28
25
11
33
34
23
13
23
26
15
29
23
26
17
32
25
26
32
24
24
28
26
27
45
47
29
40
25
35
26
32
21
32
16
35
19
28
29
29
26
35
38
27
28
29
26
40
20
28
34
38
32
51
27
23
44
37
26

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=276761&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=276761&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276761&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
[5,10[7.510.0104170.0104170.002083
[10,15[12.540.0416670.0520830.008333
[15,20[17.5110.1145830.1666670.022917
[20,25[22.5190.1979170.3645830.039583
[25,30[27.5280.2916670.656250.058333
[30,35[32.5100.1041670.7604170.020833
[35,40[37.560.06250.8229170.0125
[40,45[42.5110.1145830.93750.022917
[45,50[47.540.0416670.9791670.008333
[50,55]52.520.02083310.004167

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[5,10[ & 7.5 & 1 & 0.010417 & 0.010417 & 0.002083 \tabularnewline
[10,15[ & 12.5 & 4 & 0.041667 & 0.052083 & 0.008333 \tabularnewline
[15,20[ & 17.5 & 11 & 0.114583 & 0.166667 & 0.022917 \tabularnewline
[20,25[ & 22.5 & 19 & 0.197917 & 0.364583 & 0.039583 \tabularnewline
[25,30[ & 27.5 & 28 & 0.291667 & 0.65625 & 0.058333 \tabularnewline
[30,35[ & 32.5 & 10 & 0.104167 & 0.760417 & 0.020833 \tabularnewline
[35,40[ & 37.5 & 6 & 0.0625 & 0.822917 & 0.0125 \tabularnewline
[40,45[ & 42.5 & 11 & 0.114583 & 0.9375 & 0.022917 \tabularnewline
[45,50[ & 47.5 & 4 & 0.041667 & 0.979167 & 0.008333 \tabularnewline
[50,55] & 52.5 & 2 & 0.020833 & 1 & 0.004167 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=276761&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]1[/C][C]0.010417[/C][C]0.010417[/C][C]0.002083[/C][/ROW]
[ROW][C][10,15[[/C][C]12.5[/C][C]4[/C][C]0.041667[/C][C]0.052083[/C][C]0.008333[/C][/ROW]
[ROW][C][15,20[[/C][C]17.5[/C][C]11[/C][C]0.114583[/C][C]0.166667[/C][C]0.022917[/C][/ROW]
[ROW][C][20,25[[/C][C]22.5[/C][C]19[/C][C]0.197917[/C][C]0.364583[/C][C]0.039583[/C][/ROW]
[ROW][C][25,30[[/C][C]27.5[/C][C]28[/C][C]0.291667[/C][C]0.65625[/C][C]0.058333[/C][/ROW]
[ROW][C][30,35[[/C][C]32.5[/C][C]10[/C][C]0.104167[/C][C]0.760417[/C][C]0.020833[/C][/ROW]
[ROW][C][35,40[[/C][C]37.5[/C][C]6[/C][C]0.0625[/C][C]0.822917[/C][C]0.0125[/C][/ROW]
[ROW][C][40,45[[/C][C]42.5[/C][C]11[/C][C]0.114583[/C][C]0.9375[/C][C]0.022917[/C][/ROW]
[ROW][C][45,50[[/C][C]47.5[/C][C]4[/C][C]0.041667[/C][C]0.979167[/C][C]0.008333[/C][/ROW]
[ROW][C][50,55][/C][C]52.5[/C][C]2[/C][C]0.020833[/C][C]1[/C][C]0.004167[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=276761&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=276761&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
[5,10[7.510.0104170.0104170.002083
[10,15[12.540.0416670.0520830.008333
[15,20[17.5110.1145830.1666670.022917
[20,25[22.5190.1979170.3645830.039583
[25,30[27.5280.2916670.656250.058333
[30,35[32.5100.1041670.7604170.020833
[35,40[37.560.06250.8229170.0125
[40,45[42.5110.1145830.93750.022917
[45,50[47.540.0416670.9791670.008333
[50,55]52.520.02083310.004167


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):
par4 <- 'Unknown'
par3 <- 'FALSE'
par2 <- 'grey'
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)
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')
}