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Author's title

Author

*Unverified author*

R Software Module

rwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Mon, 20 May 2013 10:54:05 -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/2013/May/20/t13690616582oqrrpq4ie610nf.htm/, Retrieved Sat, 04 May 2024 23:40:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=209144, Retrieved Sat, 04 May 2024 23:40:23 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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

-       [Histogram] [] [2013-05-20 14:54:05] [138d0669d5f70cc84d77479d15dc4661] [Current]

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Dataseries X:

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Histogram

Boxplots

7.72
7.67
7.84
7.79
7.83
7.94
8.02
8.06
8.12
8.13
7.97
8.01
8
7.9
7.99
8.02
8.08
8.02
8.07
8.11
8.19
8.16
8.08
8.22
8.15
8.19
8.31
8.3
8.34
8.31
8.38
8.34
8.44
8.64
8.6
8.61
8.54
8.69
8.73
8.91
9.01
9.08
8.94
9.03
9.02
8.96
9.03
8.94
8.95
8.95
8.99
8.93
8.98
8.95
9.02
8.92
9.1
9.06
8.97
8.89
8.99
8.79
8.83
8.61
8.71
8.91
8.91
8.89
8.98
9
8.99
8.88

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	'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=209144&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=209144&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=209144&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[7.65,7.7[	7.675	1	0.013889	0.013889	0.277778
[7.7,7.75[	7.725	1	0.013889	0.027778	0.277778
[7.75,7.8[	7.775	1	0.013889	0.041667	0.277778
[7.8,7.85[	7.825	2	0.027778	0.069444	0.555556
[7.85,7.9[	7.875	0	0	0.069444	0
[7.9,7.95[	7.925	2	0.027778	0.097222	0.555556
[7.95,8[	7.975	2	0.027778	0.125	0.555556
[8,8.05[	8.025	5	0.069444	0.194444	1.388889
[8.05,8.1[	8.075	4	0.055556	0.25	1.111111
[8.1,8.15[	8.125	3	0.041667	0.291667	0.833333
[8.15,8.2[	8.175	4	0.055556	0.347222	1.111111
[8.2,8.25[	8.225	1	0.013889	0.361111	0.277778
[8.25,8.3[	8.275	0	0	0.361111	0
[8.3,8.35[	8.325	5	0.069444	0.430556	1.388889
[8.35,8.4[	8.375	1	0.013889	0.444444	0.277778
[8.4,8.45[	8.425	1	0.013889	0.458333	0.277778
[8.45,8.5[	8.475	0	0	0.458333	0
[8.5,8.55[	8.525	1	0.013889	0.472222	0.277778
[8.55,8.6[	8.575	0	0	0.472222	0
[8.6,8.65[	8.625	4	0.055556	0.527778	1.111111
[8.65,8.7[	8.675	1	0.013889	0.541667	0.277778
[8.7,8.75[	8.725	2	0.027778	0.569444	0.555556
[8.75,8.8[	8.775	1	0.013889	0.583333	0.277778
[8.8,8.85[	8.825	1	0.013889	0.597222	0.277778
[8.85,8.9[	8.875	3	0.041667	0.638889	0.833333
[8.9,8.95[	8.925	7	0.097222	0.736111	1.944444
[8.95,9[	8.975	10	0.138889	0.875	2.777778
[9,9.05[	9.025	6	0.083333	0.958333	1.666667
[9.05,9.1]	9.075	3	0.041667	1	0.833333

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[7.65,7.7[ & 7.675 & 1 & 0.013889 & 0.013889 & 0.277778 \tabularnewline
[7.7,7.75[ & 7.725 & 1 & 0.013889 & 0.027778 & 0.277778 \tabularnewline
[7.75,7.8[ & 7.775 & 1 & 0.013889 & 0.041667 & 0.277778 \tabularnewline
[7.8,7.85[ & 7.825 & 2 & 0.027778 & 0.069444 & 0.555556 \tabularnewline
[7.85,7.9[ & 7.875 & 0 & 0 & 0.069444 & 0 \tabularnewline
[7.9,7.95[ & 7.925 & 2 & 0.027778 & 0.097222 & 0.555556 \tabularnewline
[7.95,8[ & 7.975 & 2 & 0.027778 & 0.125 & 0.555556 \tabularnewline
[8,8.05[ & 8.025 & 5 & 0.069444 & 0.194444 & 1.388889 \tabularnewline
[8.05,8.1[ & 8.075 & 4 & 0.055556 & 0.25 & 1.111111 \tabularnewline
[8.1,8.15[ & 8.125 & 3 & 0.041667 & 0.291667 & 0.833333 \tabularnewline
[8.15,8.2[ & 8.175 & 4 & 0.055556 & 0.347222 & 1.111111 \tabularnewline
[8.2,8.25[ & 8.225 & 1 & 0.013889 & 0.361111 & 0.277778 \tabularnewline
[8.25,8.3[ & 8.275 & 0 & 0 & 0.361111 & 0 \tabularnewline
[8.3,8.35[ & 8.325 & 5 & 0.069444 & 0.430556 & 1.388889 \tabularnewline
[8.35,8.4[ & 8.375 & 1 & 0.013889 & 0.444444 & 0.277778 \tabularnewline
[8.4,8.45[ & 8.425 & 1 & 0.013889 & 0.458333 & 0.277778 \tabularnewline
[8.45,8.5[ & 8.475 & 0 & 0 & 0.458333 & 0 \tabularnewline
[8.5,8.55[ & 8.525 & 1 & 0.013889 & 0.472222 & 0.277778 \tabularnewline
[8.55,8.6[ & 8.575 & 0 & 0 & 0.472222 & 0 \tabularnewline
[8.6,8.65[ & 8.625 & 4 & 0.055556 & 0.527778 & 1.111111 \tabularnewline
[8.65,8.7[ & 8.675 & 1 & 0.013889 & 0.541667 & 0.277778 \tabularnewline
[8.7,8.75[ & 8.725 & 2 & 0.027778 & 0.569444 & 0.555556 \tabularnewline
[8.75,8.8[ & 8.775 & 1 & 0.013889 & 0.583333 & 0.277778 \tabularnewline
[8.8,8.85[ & 8.825 & 1 & 0.013889 & 0.597222 & 0.277778 \tabularnewline
[8.85,8.9[ & 8.875 & 3 & 0.041667 & 0.638889 & 0.833333 \tabularnewline
[8.9,8.95[ & 8.925 & 7 & 0.097222 & 0.736111 & 1.944444 \tabularnewline
[8.95,9[ & 8.975 & 10 & 0.138889 & 0.875 & 2.777778 \tabularnewline
[9,9.05[ & 9.025 & 6 & 0.083333 & 0.958333 & 1.666667 \tabularnewline
[9.05,9.1] & 9.075 & 3 & 0.041667 & 1 & 0.833333 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=209144&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][7.65,7.7[[/C][C]7.675[/C][C]1[/C][C]0.013889[/C][C]0.013889[/C][C]0.277778[/C][/ROW]
[ROW][C][7.7,7.75[[/C][C]7.725[/C][C]1[/C][C]0.013889[/C][C]0.027778[/C][C]0.277778[/C][/ROW]
[ROW][C][7.75,7.8[[/C][C]7.775[/C][C]1[/C][C]0.013889[/C][C]0.041667[/C][C]0.277778[/C][/ROW]
[ROW][C][7.8,7.85[[/C][C]7.825[/C][C]2[/C][C]0.027778[/C][C]0.069444[/C][C]0.555556[/C][/ROW]
[ROW][C][7.85,7.9[[/C][C]7.875[/C][C]0[/C][C]0[/C][C]0.069444[/C][C]0[/C][/ROW]
[ROW][C][7.9,7.95[[/C][C]7.925[/C][C]2[/C][C]0.027778[/C][C]0.097222[/C][C]0.555556[/C][/ROW]
[ROW][C][7.95,8[[/C][C]7.975[/C][C]2[/C][C]0.027778[/C][C]0.125[/C][C]0.555556[/C][/ROW]
[ROW][C][8,8.05[[/C][C]8.025[/C][C]5[/C][C]0.069444[/C][C]0.194444[/C][C]1.388889[/C][/ROW]
[ROW][C][8.05,8.1[[/C][C]8.075[/C][C]4[/C][C]0.055556[/C][C]0.25[/C][C]1.111111[/C][/ROW]
[ROW][C][8.1,8.15[[/C][C]8.125[/C][C]3[/C][C]0.041667[/C][C]0.291667[/C][C]0.833333[/C][/ROW]
[ROW][C][8.15,8.2[[/C][C]8.175[/C][C]4[/C][C]0.055556[/C][C]0.347222[/C][C]1.111111[/C][/ROW]
[ROW][C][8.2,8.25[[/C][C]8.225[/C][C]1[/C][C]0.013889[/C][C]0.361111[/C][C]0.277778[/C][/ROW]
[ROW][C][8.25,8.3[[/C][C]8.275[/C][C]0[/C][C]0[/C][C]0.361111[/C][C]0[/C][/ROW]
[ROW][C][8.3,8.35[[/C][C]8.325[/C][C]5[/C][C]0.069444[/C][C]0.430556[/C][C]1.388889[/C][/ROW]
[ROW][C][8.35,8.4[[/C][C]8.375[/C][C]1[/C][C]0.013889[/C][C]0.444444[/C][C]0.277778[/C][/ROW]
[ROW][C][8.4,8.45[[/C][C]8.425[/C][C]1[/C][C]0.013889[/C][C]0.458333[/C][C]0.277778[/C][/ROW]
[ROW][C][8.45,8.5[[/C][C]8.475[/C][C]0[/C][C]0[/C][C]0.458333[/C][C]0[/C][/ROW]
[ROW][C][8.5,8.55[[/C][C]8.525[/C][C]1[/C][C]0.013889[/C][C]0.472222[/C][C]0.277778[/C][/ROW]
[ROW][C][8.55,8.6[[/C][C]8.575[/C][C]0[/C][C]0[/C][C]0.472222[/C][C]0[/C][/ROW]
[ROW][C][8.6,8.65[[/C][C]8.625[/C][C]4[/C][C]0.055556[/C][C]0.527778[/C][C]1.111111[/C][/ROW]
[ROW][C][8.65,8.7[[/C][C]8.675[/C][C]1[/C][C]0.013889[/C][C]0.541667[/C][C]0.277778[/C][/ROW]
[ROW][C][8.7,8.75[[/C][C]8.725[/C][C]2[/C][C]0.027778[/C][C]0.569444[/C][C]0.555556[/C][/ROW]
[ROW][C][8.75,8.8[[/C][C]8.775[/C][C]1[/C][C]0.013889[/C][C]0.583333[/C][C]0.277778[/C][/ROW]
[ROW][C][8.8,8.85[[/C][C]8.825[/C][C]1[/C][C]0.013889[/C][C]0.597222[/C][C]0.277778[/C][/ROW]
[ROW][C][8.85,8.9[[/C][C]8.875[/C][C]3[/C][C]0.041667[/C][C]0.638889[/C][C]0.833333[/C][/ROW]
[ROW][C][8.9,8.95[[/C][C]8.925[/C][C]7[/C][C]0.097222[/C][C]0.736111[/C][C]1.944444[/C][/ROW]
[ROW][C][8.95,9[[/C][C]8.975[/C][C]10[/C][C]0.138889[/C][C]0.875[/C][C]2.777778[/C][/ROW]
[ROW][C][9,9.05[[/C][C]9.025[/C][C]6[/C][C]0.083333[/C][C]0.958333[/C][C]1.666667[/C][/ROW]
[ROW][C][9.05,9.1][/C][C]9.075[/C][C]3[/C][C]0.041667[/C][C]1[/C][C]0.833333[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=209144&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=209144&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
[7.65,7.7[	7.675	1	0.013889	0.013889	0.277778
[7.7,7.75[	7.725	1	0.013889	0.027778	0.277778
[7.75,7.8[	7.775	1	0.013889	0.041667	0.277778
[7.8,7.85[	7.825	2	0.027778	0.069444	0.555556
[7.85,7.9[	7.875	0	0	0.069444	0
[7.9,7.95[	7.925	2	0.027778	0.097222	0.555556
[7.95,8[	7.975	2	0.027778	0.125	0.555556
[8,8.05[	8.025	5	0.069444	0.194444	1.388889
[8.05,8.1[	8.075	4	0.055556	0.25	1.111111
[8.1,8.15[	8.125	3	0.041667	0.291667	0.833333
[8.15,8.2[	8.175	4	0.055556	0.347222	1.111111
[8.2,8.25[	8.225	1	0.013889	0.361111	0.277778
[8.25,8.3[	8.275	0	0	0.361111	0
[8.3,8.35[	8.325	5	0.069444	0.430556	1.388889
[8.35,8.4[	8.375	1	0.013889	0.444444	0.277778
[8.4,8.45[	8.425	1	0.013889	0.458333	0.277778
[8.45,8.5[	8.475	0	0	0.458333	0
[8.5,8.55[	8.525	1	0.013889	0.472222	0.277778
[8.55,8.6[	8.575	0	0	0.472222	0
[8.6,8.65[	8.625	4	0.055556	0.527778	1.111111
[8.65,8.7[	8.675	1	0.013889	0.541667	0.277778
[8.7,8.75[	8.725	2	0.027778	0.569444	0.555556
[8.75,8.8[	8.775	1	0.013889	0.583333	0.277778
[8.8,8.85[	8.825	1	0.013889	0.597222	0.277778
[8.85,8.9[	8.875	3	0.041667	0.638889	0.833333
[8.9,8.95[	8.925	7	0.097222	0.736111	1.944444
[8.95,9[	8.975	10	0.138889	0.875	2.777778
[9,9.05[	9.025	6	0.083333	0.958333	1.666667
[9.05,9.1]	9.075	3	0.041667	1	0.833333

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 50 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 50 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

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

par4 <- 'Unknown'
par3 <- 'FALSE'
par2 <- 'grey'
par1 <- '3'
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