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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, 14 Nov 2011 14:07:18 -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/2011/Nov/14/t1321297655cox4gpynfsxwy9m.htm/, Retrieved Fri, 31 Oct 2025 06:59:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=142282, Retrieved Fri, 31 Oct 2025 06:59:49 +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)
-     [Central Tendency] [Arabica Price in ...] [2008-01-19 12:03:37] [74be16979710d4c4e7c6647856088456]
- RMPD  [Maximum-likelihood Fitting - Normal Distribution] [] [2010-11-16 19:18:46] [b98453cac15ba1066b407e146608df68]
- RMPD      [Histogram] [] [2011-11-14 19:07:18] [c092f3a3bdd85c7279ddab6c8c6c9261] [Current]
- R  D        [Histogram] [] [2011-12-05 21:58:00] [b4c8fd31b0af00c33711722ddf8d2c4c]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9
14
14
15
16
16
16
21
22
22
25
29
31
34
35
37
38
39
40
40
43
45
47
47
48
48
49
50
51
55
57
58
63
64
65
67
68
68
70
70
70
71
71
71
73
79
80
82
82
83
84
85
86
86
87
88
88
89
89
90
90
93
93
93
93
95
96
96
97
98
98
98
99
99
99
100
100
100
100
100
100
100
100
100
100

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'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142282&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142282&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142282&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'AstonUniversity' @ aston.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[0,10[510.0117650.0117650.001176
[10,20[1560.0705880.0823530.007059
[20,30[2550.0588240.1411760.005882
[30,40[3560.0705880.2117650.007059
[40,50[4590.1058820.3176470.010588
[50,60[5550.0588240.3764710.005882
[60,70[6560.0705880.4470590.007059
[70,80[7580.0941180.5411760.009412
[80,90[85130.1529410.6941180.015294
[90,100]95260.30588210.030588

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[0,10[ & 5 & 1 & 0.011765 & 0.011765 & 0.001176 \tabularnewline
[10,20[ & 15 & 6 & 0.070588 & 0.082353 & 0.007059 \tabularnewline
[20,30[ & 25 & 5 & 0.058824 & 0.141176 & 0.005882 \tabularnewline
[30,40[ & 35 & 6 & 0.070588 & 0.211765 & 0.007059 \tabularnewline
[40,50[ & 45 & 9 & 0.105882 & 0.317647 & 0.010588 \tabularnewline
[50,60[ & 55 & 5 & 0.058824 & 0.376471 & 0.005882 \tabularnewline
[60,70[ & 65 & 6 & 0.070588 & 0.447059 & 0.007059 \tabularnewline
[70,80[ & 75 & 8 & 0.094118 & 0.541176 & 0.009412 \tabularnewline
[80,90[ & 85 & 13 & 0.152941 & 0.694118 & 0.015294 \tabularnewline
[90,100] & 95 & 26 & 0.305882 & 1 & 0.030588 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142282&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]1[/C][C]0.011765[/C][C]0.011765[/C][C]0.001176[/C][/ROW]
[ROW][C][10,20[[/C][C]15[/C][C]6[/C][C]0.070588[/C][C]0.082353[/C][C]0.007059[/C][/ROW]
[ROW][C][20,30[[/C][C]25[/C][C]5[/C][C]0.058824[/C][C]0.141176[/C][C]0.005882[/C][/ROW]
[ROW][C][30,40[[/C][C]35[/C][C]6[/C][C]0.070588[/C][C]0.211765[/C][C]0.007059[/C][/ROW]
[ROW][C][40,50[[/C][C]45[/C][C]9[/C][C]0.105882[/C][C]0.317647[/C][C]0.010588[/C][/ROW]
[ROW][C][50,60[[/C][C]55[/C][C]5[/C][C]0.058824[/C][C]0.376471[/C][C]0.005882[/C][/ROW]
[ROW][C][60,70[[/C][C]65[/C][C]6[/C][C]0.070588[/C][C]0.447059[/C][C]0.007059[/C][/ROW]
[ROW][C][70,80[[/C][C]75[/C][C]8[/C][C]0.094118[/C][C]0.541176[/C][C]0.009412[/C][/ROW]
[ROW][C][80,90[[/C][C]85[/C][C]13[/C][C]0.152941[/C][C]0.694118[/C][C]0.015294[/C][/ROW]
[ROW][C][90,100][/C][C]95[/C][C]26[/C][C]0.305882[/C][C]1[/C][C]0.030588[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142282&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142282&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[510.0117650.0117650.001176
[10,20[1560.0705880.0823530.007059
[20,30[2550.0588240.1411760.005882
[30,40[3560.0705880.2117650.007059
[40,50[4590.1058820.3176470.010588
[50,60[5550.0588240.3764710.005882
[60,70[6560.0705880.4470590.007059
[70,80[7580.0941180.5411760.009412
[80,90[85130.1529410.6941180.015294
[90,100]95260.30588210.030588


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')
}