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Author's title

Author

*Unverified author*

R Software Module

rwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Fri, 28 Sep 2012 09:21:27 -0400

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Sep/28/t1348838629g4w8tzpbovkxtny.htm/, Retrieved Sat, 04 May 2024 12:19:34 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=170327, Retrieved Sat, 04 May 2024 12:19:34 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

125

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Data Series] [] [2012-09-23 16:40:30] [6b2541656da62508fd6d15a319594d56]
- RMPD    [Histogram] [] [2012-09-28 13:21:27] [db26a86bf4adac007852ad52c5e0cac3] [Current]

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Dataseries X:

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Histogram

Boxplots

3.65
3.66
3.69
3.7
3.7
3.71
3.71
3.71
3.72
3.72
3.73
3.74
3.78
3.78
3.79
3.79
3.8
3.81
3.83
3.84
3.88
3.91
3.96
3.96
3.97
3.98
3.99
3.99
4
4
4.02
4.02
4.02
4.03
4.03
4.03
4.04
4.04
4.05
4.05
4.05
4.05
4.06
4.06
4.06
4.06
4.07
4.07
4.08
4.08
4.08
4.09
4.09
4.09
4.09
4.1
4.1
4.11
4.11
4.12
4.12
4.12
4.12
4.12
4.15
4.15
4.15
4.15
4.16
4.16
4.16
4.2

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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=170327&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=170327&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170327&T=0

As an alternative you can also use a 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 Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[3.64,3.66[	3.65	1	0.013889	0.013889	0.694444
[3.66,3.68[	3.67	1	0.013889	0.027778	0.694444
[3.68,3.7[	3.69	1	0.013889	0.041667	0.694444
[3.7,3.72[	3.71	5	0.069444	0.111111	3.472222
[3.72,3.74[	3.73	3	0.041667	0.152778	2.083333
[3.74,3.76[	3.75	1	0.013889	0.166667	0.694444
[3.76,3.78[	3.77	0	0	0.166667	0
[3.78,3.8[	3.79	4	0.055556	0.222222	2.777778
[3.8,3.82[	3.81	2	0.027778	0.25	1.388889
[3.82,3.84[	3.83	1	0.013889	0.263889	0.694444
[3.84,3.86[	3.85	1	0.013889	0.277778	0.694444
[3.86,3.88[	3.87	0	0	0.277778	0
[3.88,3.9[	3.89	1	0.013889	0.291667	0.694444
[3.9,3.92[	3.91	1	0.013889	0.305556	0.694444
[3.92,3.94[	3.93	0	0	0.305556	0
[3.94,3.96[	3.95	0	0	0.305556	0
[3.96,3.98[	3.97	3	0.041667	0.347222	2.083333
[3.98,4[	3.99	3	0.041667	0.388889	2.083333
[4,4.02[	4.01	2	0.027778	0.416667	1.388889
[4.02,4.04[	4.03	6	0.083333	0.5	4.166667
[4.04,4.06[	4.05	6	0.083333	0.583333	4.166667
[4.06,4.08[	4.07	6	0.083333	0.666667	4.166667
[4.08,4.1[	4.09	7	0.097222	0.763889	4.861111
[4.1,4.12[	4.11	4	0.055556	0.819444	2.777778
[4.12,4.14[	4.13	5	0.069444	0.888889	3.472222
[4.14,4.16[	4.15	4	0.055556	0.944444	2.777778
[4.16,4.18[	4.17	3	0.041667	0.986111	2.083333
[4.18,4.2]	4.19	1	0.013889	1	0.694444

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[3.64,3.66[ & 3.65 & 1 & 0.013889 & 0.013889 & 0.694444 \tabularnewline
[3.66,3.68[ & 3.67 & 1 & 0.013889 & 0.027778 & 0.694444 \tabularnewline
[3.68,3.7[ & 3.69 & 1 & 0.013889 & 0.041667 & 0.694444 \tabularnewline
[3.7,3.72[ & 3.71 & 5 & 0.069444 & 0.111111 & 3.472222 \tabularnewline
[3.72,3.74[ & 3.73 & 3 & 0.041667 & 0.152778 & 2.083333 \tabularnewline
[3.74,3.76[ & 3.75 & 1 & 0.013889 & 0.166667 & 0.694444 \tabularnewline
[3.76,3.78[ & 3.77 & 0 & 0 & 0.166667 & 0 \tabularnewline
[3.78,3.8[ & 3.79 & 4 & 0.055556 & 0.222222 & 2.777778 \tabularnewline
[3.8,3.82[ & 3.81 & 2 & 0.027778 & 0.25 & 1.388889 \tabularnewline
[3.82,3.84[ & 3.83 & 1 & 0.013889 & 0.263889 & 0.694444 \tabularnewline
[3.84,3.86[ & 3.85 & 1 & 0.013889 & 0.277778 & 0.694444 \tabularnewline
[3.86,3.88[ & 3.87 & 0 & 0 & 0.277778 & 0 \tabularnewline
[3.88,3.9[ & 3.89 & 1 & 0.013889 & 0.291667 & 0.694444 \tabularnewline
[3.9,3.92[ & 3.91 & 1 & 0.013889 & 0.305556 & 0.694444 \tabularnewline
[3.92,3.94[ & 3.93 & 0 & 0 & 0.305556 & 0 \tabularnewline
[3.94,3.96[ & 3.95 & 0 & 0 & 0.305556 & 0 \tabularnewline
[3.96,3.98[ & 3.97 & 3 & 0.041667 & 0.347222 & 2.083333 \tabularnewline
[3.98,4[ & 3.99 & 3 & 0.041667 & 0.388889 & 2.083333 \tabularnewline
[4,4.02[ & 4.01 & 2 & 0.027778 & 0.416667 & 1.388889 \tabularnewline
[4.02,4.04[ & 4.03 & 6 & 0.083333 & 0.5 & 4.166667 \tabularnewline
[4.04,4.06[ & 4.05 & 6 & 0.083333 & 0.583333 & 4.166667 \tabularnewline
[4.06,4.08[ & 4.07 & 6 & 0.083333 & 0.666667 & 4.166667 \tabularnewline
[4.08,4.1[ & 4.09 & 7 & 0.097222 & 0.763889 & 4.861111 \tabularnewline
[4.1,4.12[ & 4.11 & 4 & 0.055556 & 0.819444 & 2.777778 \tabularnewline
[4.12,4.14[ & 4.13 & 5 & 0.069444 & 0.888889 & 3.472222 \tabularnewline
[4.14,4.16[ & 4.15 & 4 & 0.055556 & 0.944444 & 2.777778 \tabularnewline
[4.16,4.18[ & 4.17 & 3 & 0.041667 & 0.986111 & 2.083333 \tabularnewline
[4.18,4.2] & 4.19 & 1 & 0.013889 & 1 & 0.694444 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=170327&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][3.64,3.66[[/C][C]3.65[/C][C]1[/C][C]0.013889[/C][C]0.013889[/C][C]0.694444[/C][/ROW]
[ROW][C][3.66,3.68[[/C][C]3.67[/C][C]1[/C][C]0.013889[/C][C]0.027778[/C][C]0.694444[/C][/ROW]
[ROW][C][3.68,3.7[[/C][C]3.69[/C][C]1[/C][C]0.013889[/C][C]0.041667[/C][C]0.694444[/C][/ROW]
[ROW][C][3.7,3.72[[/C][C]3.71[/C][C]5[/C][C]0.069444[/C][C]0.111111[/C][C]3.472222[/C][/ROW]
[ROW][C][3.72,3.74[[/C][C]3.73[/C][C]3[/C][C]0.041667[/C][C]0.152778[/C][C]2.083333[/C][/ROW]
[ROW][C][3.74,3.76[[/C][C]3.75[/C][C]1[/C][C]0.013889[/C][C]0.166667[/C][C]0.694444[/C][/ROW]
[ROW][C][3.76,3.78[[/C][C]3.77[/C][C]0[/C][C]0[/C][C]0.166667[/C][C]0[/C][/ROW]
[ROW][C][3.78,3.8[[/C][C]3.79[/C][C]4[/C][C]0.055556[/C][C]0.222222[/C][C]2.777778[/C][/ROW]
[ROW][C][3.8,3.82[[/C][C]3.81[/C][C]2[/C][C]0.027778[/C][C]0.25[/C][C]1.388889[/C][/ROW]
[ROW][C][3.82,3.84[[/C][C]3.83[/C][C]1[/C][C]0.013889[/C][C]0.263889[/C][C]0.694444[/C][/ROW]
[ROW][C][3.84,3.86[[/C][C]3.85[/C][C]1[/C][C]0.013889[/C][C]0.277778[/C][C]0.694444[/C][/ROW]
[ROW][C][3.86,3.88[[/C][C]3.87[/C][C]0[/C][C]0[/C][C]0.277778[/C][C]0[/C][/ROW]
[ROW][C][3.88,3.9[[/C][C]3.89[/C][C]1[/C][C]0.013889[/C][C]0.291667[/C][C]0.694444[/C][/ROW]
[ROW][C][3.9,3.92[[/C][C]3.91[/C][C]1[/C][C]0.013889[/C][C]0.305556[/C][C]0.694444[/C][/ROW]
[ROW][C][3.92,3.94[[/C][C]3.93[/C][C]0[/C][C]0[/C][C]0.305556[/C][C]0[/C][/ROW]
[ROW][C][3.94,3.96[[/C][C]3.95[/C][C]0[/C][C]0[/C][C]0.305556[/C][C]0[/C][/ROW]
[ROW][C][3.96,3.98[[/C][C]3.97[/C][C]3[/C][C]0.041667[/C][C]0.347222[/C][C]2.083333[/C][/ROW]
[ROW][C][3.98,4[[/C][C]3.99[/C][C]3[/C][C]0.041667[/C][C]0.388889[/C][C]2.083333[/C][/ROW]
[ROW][C][4,4.02[[/C][C]4.01[/C][C]2[/C][C]0.027778[/C][C]0.416667[/C][C]1.388889[/C][/ROW]
[ROW][C][4.02,4.04[[/C][C]4.03[/C][C]6[/C][C]0.083333[/C][C]0.5[/C][C]4.166667[/C][/ROW]
[ROW][C][4.04,4.06[[/C][C]4.05[/C][C]6[/C][C]0.083333[/C][C]0.583333[/C][C]4.166667[/C][/ROW]
[ROW][C][4.06,4.08[[/C][C]4.07[/C][C]6[/C][C]0.083333[/C][C]0.666667[/C][C]4.166667[/C][/ROW]
[ROW][C][4.08,4.1[[/C][C]4.09[/C][C]7[/C][C]0.097222[/C][C]0.763889[/C][C]4.861111[/C][/ROW]
[ROW][C][4.1,4.12[[/C][C]4.11[/C][C]4[/C][C]0.055556[/C][C]0.819444[/C][C]2.777778[/C][/ROW]
[ROW][C][4.12,4.14[[/C][C]4.13[/C][C]5[/C][C]0.069444[/C][C]0.888889[/C][C]3.472222[/C][/ROW]
[ROW][C][4.14,4.16[[/C][C]4.15[/C][C]4[/C][C]0.055556[/C][C]0.944444[/C][C]2.777778[/C][/ROW]
[ROW][C][4.16,4.18[[/C][C]4.17[/C][C]3[/C][C]0.041667[/C][C]0.986111[/C][C]2.083333[/C][/ROW]
[ROW][C][4.18,4.2][/C][C]4.19[/C][C]1[/C][C]0.013889[/C][C]1[/C][C]0.694444[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=170327&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=170327&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[3.64,3.66[	3.65	1	0.013889	0.013889	0.694444
[3.66,3.68[	3.67	1	0.013889	0.027778	0.694444
[3.68,3.7[	3.69	1	0.013889	0.041667	0.694444
[3.7,3.72[	3.71	5	0.069444	0.111111	3.472222
[3.72,3.74[	3.73	3	0.041667	0.152778	2.083333
[3.74,3.76[	3.75	1	0.013889	0.166667	0.694444
[3.76,3.78[	3.77	0	0	0.166667	0
[3.78,3.8[	3.79	4	0.055556	0.222222	2.777778
[3.8,3.82[	3.81	2	0.027778	0.25	1.388889
[3.82,3.84[	3.83	1	0.013889	0.263889	0.694444
[3.84,3.86[	3.85	1	0.013889	0.277778	0.694444
[3.86,3.88[	3.87	0	0	0.277778	0
[3.88,3.9[	3.89	1	0.013889	0.291667	0.694444
[3.9,3.92[	3.91	1	0.013889	0.305556	0.694444
[3.92,3.94[	3.93	0	0	0.305556	0
[3.94,3.96[	3.95	0	0	0.305556	0
[3.96,3.98[	3.97	3	0.041667	0.347222	2.083333
[3.98,4[	3.99	3	0.041667	0.388889	2.083333
[4,4.02[	4.01	2	0.027778	0.416667	1.388889
[4.02,4.04[	4.03	6	0.083333	0.5	4.166667
[4.04,4.06[	4.05	6	0.083333	0.583333	4.166667
[4.06,4.08[	4.07	6	0.083333	0.666667	4.166667
[4.08,4.1[	4.09	7	0.097222	0.763889	4.861111
[4.1,4.12[	4.11	4	0.055556	0.819444	2.777778
[4.12,4.14[	4.13	5	0.069444	0.888889	3.472222
[4.14,4.16[	4.15	4	0.055556	0.944444	2.777778
[4.16,4.18[	4.17	3	0.041667	0.986111	2.083333
[4.18,4.2]	4.19	1	0.013889	1	0.694444

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 35 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 35 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

R code (references can be found in the software module):

par4 <- 'Unknown'
par3 <- 'FALSE'
par2 <- 'grey'
par1 <- '35'
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')
}

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code