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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 computationTue, 15 Nov 2011 14:56:21 -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/15/t1321386992x04a5zlnss3io3a.htm/, Retrieved Tue, 10 Feb 2026 11:35:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=143463, Retrieved Tue, 10 Feb 2026 11:35:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact364

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]
- RM D  [Pearson Correlation] [Scatterplot] [2010-11-12 15:51:23] [9894f466352df31a128e82ec8d720241]
- RMPD    [Notched Boxplots] [assignment - outl...] [2010-11-12 17:56:50] [9894f466352df31a128e82ec8d720241]
-   P       [Notched Boxplots] [] [2010-11-25 15:47:40] [2e1e44f0ae3cb9513dc28781dfdb387b]
- RMPD        [Histogram] [] [2011-11-15 19:54:42] [9026c059d17255e641798e6a3c7c272a]
- R  D            [Histogram] [] [2011-11-15 19:56:21] [ef12b3094dcc95645ac503919f1fca4e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
23
24
22
20
24
27
28
27
24
23
24
27
27
28
27
23
24
28
27
25
19
24
20
28
26
23
23
20
11
24
25
23
18
20
20
24
23
25
28
26
26
23
22
24
21
20
22
20
25
20
22
23
25
23
23
22
24
25
21
12
17
20
23
23
20
28
24
24
24
24
28
25
21
25
25
18
17
26
28
21
27
22
21
25
22
23
26
19
25
21
13
24
25
26
25
25
22
21
23
25
24
21
21
25
22
20
20
23
28
23
28
24
18
20
28
21
21
25
19
18
21
22
24
15
28
26
23
26
20
22
20
23
22
24
23
22
26
23
27
23
21
26
23
21
27
19
23
25
23
22
22
25
25
28
28
20
25
19
25
22
18
20

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=143463&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=143463&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=143463&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
[10,12]1120.0123460.0123460.006173
]12,14]1310.0061730.0185190.003086
]14,16]1510.0061730.0246910.003086
]16,18]1770.043210.0679010.021605
]18,20]19220.1358020.2037040.067901
]20,22]21300.1851850.3888890.092593
]22,24]23440.2716050.6604940.135802
]24,26]25320.1975310.8580250.098765
]26,28]27230.14197510.070988

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[10,12] & 11 & 2 & 0.012346 & 0.012346 & 0.006173 \tabularnewline
]12,14] & 13 & 1 & 0.006173 & 0.018519 & 0.003086 \tabularnewline
]14,16] & 15 & 1 & 0.006173 & 0.024691 & 0.003086 \tabularnewline
]16,18] & 17 & 7 & 0.04321 & 0.067901 & 0.021605 \tabularnewline
]18,20] & 19 & 22 & 0.135802 & 0.203704 & 0.067901 \tabularnewline
]20,22] & 21 & 30 & 0.185185 & 0.388889 & 0.092593 \tabularnewline
]22,24] & 23 & 44 & 0.271605 & 0.660494 & 0.135802 \tabularnewline
]24,26] & 25 & 32 & 0.197531 & 0.858025 & 0.098765 \tabularnewline
]26,28] & 27 & 23 & 0.141975 & 1 & 0.070988 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=143463&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][10,12][/C][C]11[/C][C]2[/C][C]0.012346[/C][C]0.012346[/C][C]0.006173[/C][/ROW]
[ROW][C]]12,14][/C][C]13[/C][C]1[/C][C]0.006173[/C][C]0.018519[/C][C]0.003086[/C][/ROW]
[ROW][C]]14,16][/C][C]15[/C][C]1[/C][C]0.006173[/C][C]0.024691[/C][C]0.003086[/C][/ROW]
[ROW][C]]16,18][/C][C]17[/C][C]7[/C][C]0.04321[/C][C]0.067901[/C][C]0.021605[/C][/ROW]
[ROW][C]]18,20][/C][C]19[/C][C]22[/C][C]0.135802[/C][C]0.203704[/C][C]0.067901[/C][/ROW]
[ROW][C]]20,22][/C][C]21[/C][C]30[/C][C]0.185185[/C][C]0.388889[/C][C]0.092593[/C][/ROW]
[ROW][C]]22,24][/C][C]23[/C][C]44[/C][C]0.271605[/C][C]0.660494[/C][C]0.135802[/C][/ROW]
[ROW][C]]24,26][/C][C]25[/C][C]32[/C][C]0.197531[/C][C]0.858025[/C][C]0.098765[/C][/ROW]
[ROW][C]]26,28][/C][C]27[/C][C]23[/C][C]0.141975[/C][C]1[/C][C]0.070988[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=143463&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=143463&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
[10,12]1120.0123460.0123460.006173
]12,14]1310.0061730.0185190.003086
]14,16]1510.0061730.0246910.003086
]16,18]1770.043210.0679010.021605
]18,20]19220.1358020.2037040.067901
]20,22]21300.1851850.3888890.092593
]22,24]23440.2716050.6604940.135802
]24,26]25320.1975310.8580250.098765
]26,28]27230.14197510.070988


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = grey ; par3 = TRUE ; 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')
}