Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Wed, 05 Oct 2011 13:11:46 -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/2011/Oct/05/t1317834801wu6vi5eesz7qqc8.htm/, Retrieved Wed, 15 May 2024 04:44:28 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=126731, Retrieved Wed, 15 May 2024 04:44:28 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDG2011W2EC

Estimated Impact

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

-       [Histogram] [] [2011-10-05 17:11:46] [f7653f7e39425878158499028a118a95] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

5.82
5.85
5.87
5.88
5.9
5.91
5.94
5.97
5.98
6
6.01
6.02
6.11
6.13
6.15
6.15
6.16
6.18
6.21
6.22
6.23
6.26
6.28
6.28
6.29
6.32
6.36
6.37
6.38
6.38
6.4
6.41
6.42
6.43
6.44
6.47
6.47
6.48
6.51
6.54
6.56
6.57
6.6
6.62
6.65
6.71
6.76
6.78
6.8
6.83
6.86
6.86
6.87
6.88
6.9
6.92
6.93
6.94
6.96
6.98
6.99
7.01
7.06
7.07
7.08
7.08
7.1
7.11
7.22
7.24
7.25
7.26

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	11 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 & 11 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=126731&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]11 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=126731&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=126731&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	11 seconds
R Server	'AstonUniversity' @ aston.wessa.net

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[5.8,5.85[	5.825	1	0.013889	0.013889	0.277778
[5.85,5.9[	5.875	3	0.041667	0.055556	0.833333
[5.9,5.95[	5.925	3	0.041667	0.097222	0.833333
[5.95,6[	5.975	2	0.027778	0.125	0.555556
[6,6.05[	6.025	3	0.041667	0.166667	0.833333
[6.05,6.1[	6.075	0	0	0.166667	0
[6.1,6.15[	6.125	2	0.027778	0.194444	0.555556
[6.15,6.2[	6.175	4	0.055556	0.25	1.111111
[6.2,6.25[	6.225	3	0.041667	0.291667	0.833333
[6.25,6.3[	6.275	4	0.055556	0.347222	1.111111
[6.3,6.35[	6.325	1	0.013889	0.361111	0.277778
[6.35,6.4[	6.375	4	0.055556	0.416667	1.111111
[6.4,6.45[	6.425	5	0.069444	0.486111	1.388889
[6.45,6.5[	6.475	3	0.041667	0.527778	0.833333
[6.5,6.55[	6.525	2	0.027778	0.555556	0.555556
[6.55,6.6[	6.575	2	0.027778	0.583333	0.555556
[6.6,6.65[	6.625	2	0.027778	0.611111	0.555556
[6.65,6.7[	6.675	1	0.013889	0.625	0.277778
[6.7,6.75[	6.725	1	0.013889	0.638889	0.277778
[6.75,6.8[	6.775	2	0.027778	0.666667	0.555556
[6.8,6.85[	6.825	2	0.027778	0.694444	0.555556
[6.85,6.9[	6.875	4	0.055556	0.75	1.111111
[6.9,6.95[	6.925	4	0.055556	0.805556	1.111111
[6.95,7[	6.975	3	0.041667	0.847222	0.833333
[7,7.05[	7.025	1	0.013889	0.861111	0.277778
[7.05,7.1[	7.075	4	0.055556	0.916667	1.111111
[7.1,7.15[	7.125	2	0.027778	0.944444	0.555556
[7.15,7.2[	7.175	0	0	0.944444	0
[7.2,7.25[	7.225	2	0.027778	0.972222	0.555556
[7.25,7.3]	7.275	2	0.027778	1	0.555556

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[5.8,5.85[ & 5.825 & 1 & 0.013889 & 0.013889 & 0.277778 \tabularnewline
[5.85,5.9[ & 5.875 & 3 & 0.041667 & 0.055556 & 0.833333 \tabularnewline
[5.9,5.95[ & 5.925 & 3 & 0.041667 & 0.097222 & 0.833333 \tabularnewline
[5.95,6[ & 5.975 & 2 & 0.027778 & 0.125 & 0.555556 \tabularnewline
[6,6.05[ & 6.025 & 3 & 0.041667 & 0.166667 & 0.833333 \tabularnewline
[6.05,6.1[ & 6.075 & 0 & 0 & 0.166667 & 0 \tabularnewline
[6.1,6.15[ & 6.125 & 2 & 0.027778 & 0.194444 & 0.555556 \tabularnewline
[6.15,6.2[ & 6.175 & 4 & 0.055556 & 0.25 & 1.111111 \tabularnewline
[6.2,6.25[ & 6.225 & 3 & 0.041667 & 0.291667 & 0.833333 \tabularnewline
[6.25,6.3[ & 6.275 & 4 & 0.055556 & 0.347222 & 1.111111 \tabularnewline
[6.3,6.35[ & 6.325 & 1 & 0.013889 & 0.361111 & 0.277778 \tabularnewline
[6.35,6.4[ & 6.375 & 4 & 0.055556 & 0.416667 & 1.111111 \tabularnewline
[6.4,6.45[ & 6.425 & 5 & 0.069444 & 0.486111 & 1.388889 \tabularnewline
[6.45,6.5[ & 6.475 & 3 & 0.041667 & 0.527778 & 0.833333 \tabularnewline
[6.5,6.55[ & 6.525 & 2 & 0.027778 & 0.555556 & 0.555556 \tabularnewline
[6.55,6.6[ & 6.575 & 2 & 0.027778 & 0.583333 & 0.555556 \tabularnewline
[6.6,6.65[ & 6.625 & 2 & 0.027778 & 0.611111 & 0.555556 \tabularnewline
[6.65,6.7[ & 6.675 & 1 & 0.013889 & 0.625 & 0.277778 \tabularnewline
[6.7,6.75[ & 6.725 & 1 & 0.013889 & 0.638889 & 0.277778 \tabularnewline
[6.75,6.8[ & 6.775 & 2 & 0.027778 & 0.666667 & 0.555556 \tabularnewline
[6.8,6.85[ & 6.825 & 2 & 0.027778 & 0.694444 & 0.555556 \tabularnewline
[6.85,6.9[ & 6.875 & 4 & 0.055556 & 0.75 & 1.111111 \tabularnewline
[6.9,6.95[ & 6.925 & 4 & 0.055556 & 0.805556 & 1.111111 \tabularnewline
[6.95,7[ & 6.975 & 3 & 0.041667 & 0.847222 & 0.833333 \tabularnewline
[7,7.05[ & 7.025 & 1 & 0.013889 & 0.861111 & 0.277778 \tabularnewline
[7.05,7.1[ & 7.075 & 4 & 0.055556 & 0.916667 & 1.111111 \tabularnewline
[7.1,7.15[ & 7.125 & 2 & 0.027778 & 0.944444 & 0.555556 \tabularnewline
[7.15,7.2[ & 7.175 & 0 & 0 & 0.944444 & 0 \tabularnewline
[7.2,7.25[ & 7.225 & 2 & 0.027778 & 0.972222 & 0.555556 \tabularnewline
[7.25,7.3] & 7.275 & 2 & 0.027778 & 1 & 0.555556 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=126731&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][5.8,5.85[[/C][C]5.825[/C][C]1[/C][C]0.013889[/C][C]0.013889[/C][C]0.277778[/C][/ROW]
[ROW][C][5.85,5.9[[/C][C]5.875[/C][C]3[/C][C]0.041667[/C][C]0.055556[/C][C]0.833333[/C][/ROW]
[ROW][C][5.9,5.95[[/C][C]5.925[/C][C]3[/C][C]0.041667[/C][C]0.097222[/C][C]0.833333[/C][/ROW]
[ROW][C][5.95,6[[/C][C]5.975[/C][C]2[/C][C]0.027778[/C][C]0.125[/C][C]0.555556[/C][/ROW]
[ROW][C][6,6.05[[/C][C]6.025[/C][C]3[/C][C]0.041667[/C][C]0.166667[/C][C]0.833333[/C][/ROW]
[ROW][C][6.05,6.1[[/C][C]6.075[/C][C]0[/C][C]0[/C][C]0.166667[/C][C]0[/C][/ROW]
[ROW][C][6.1,6.15[[/C][C]6.125[/C][C]2[/C][C]0.027778[/C][C]0.194444[/C][C]0.555556[/C][/ROW]
[ROW][C][6.15,6.2[[/C][C]6.175[/C][C]4[/C][C]0.055556[/C][C]0.25[/C][C]1.111111[/C][/ROW]
[ROW][C][6.2,6.25[[/C][C]6.225[/C][C]3[/C][C]0.041667[/C][C]0.291667[/C][C]0.833333[/C][/ROW]
[ROW][C][6.25,6.3[[/C][C]6.275[/C][C]4[/C][C]0.055556[/C][C]0.347222[/C][C]1.111111[/C][/ROW]
[ROW][C][6.3,6.35[[/C][C]6.325[/C][C]1[/C][C]0.013889[/C][C]0.361111[/C][C]0.277778[/C][/ROW]
[ROW][C][6.35,6.4[[/C][C]6.375[/C][C]4[/C][C]0.055556[/C][C]0.416667[/C][C]1.111111[/C][/ROW]
[ROW][C][6.4,6.45[[/C][C]6.425[/C][C]5[/C][C]0.069444[/C][C]0.486111[/C][C]1.388889[/C][/ROW]
[ROW][C][6.45,6.5[[/C][C]6.475[/C][C]3[/C][C]0.041667[/C][C]0.527778[/C][C]0.833333[/C][/ROW]
[ROW][C][6.5,6.55[[/C][C]6.525[/C][C]2[/C][C]0.027778[/C][C]0.555556[/C][C]0.555556[/C][/ROW]
[ROW][C][6.55,6.6[[/C][C]6.575[/C][C]2[/C][C]0.027778[/C][C]0.583333[/C][C]0.555556[/C][/ROW]
[ROW][C][6.6,6.65[[/C][C]6.625[/C][C]2[/C][C]0.027778[/C][C]0.611111[/C][C]0.555556[/C][/ROW]
[ROW][C][6.65,6.7[[/C][C]6.675[/C][C]1[/C][C]0.013889[/C][C]0.625[/C][C]0.277778[/C][/ROW]
[ROW][C][6.7,6.75[[/C][C]6.725[/C][C]1[/C][C]0.013889[/C][C]0.638889[/C][C]0.277778[/C][/ROW]
[ROW][C][6.75,6.8[[/C][C]6.775[/C][C]2[/C][C]0.027778[/C][C]0.666667[/C][C]0.555556[/C][/ROW]
[ROW][C][6.8,6.85[[/C][C]6.825[/C][C]2[/C][C]0.027778[/C][C]0.694444[/C][C]0.555556[/C][/ROW]
[ROW][C][6.85,6.9[[/C][C]6.875[/C][C]4[/C][C]0.055556[/C][C]0.75[/C][C]1.111111[/C][/ROW]
[ROW][C][6.9,6.95[[/C][C]6.925[/C][C]4[/C][C]0.055556[/C][C]0.805556[/C][C]1.111111[/C][/ROW]
[ROW][C][6.95,7[[/C][C]6.975[/C][C]3[/C][C]0.041667[/C][C]0.847222[/C][C]0.833333[/C][/ROW]
[ROW][C][7,7.05[[/C][C]7.025[/C][C]1[/C][C]0.013889[/C][C]0.861111[/C][C]0.277778[/C][/ROW]
[ROW][C][7.05,7.1[[/C][C]7.075[/C][C]4[/C][C]0.055556[/C][C]0.916667[/C][C]1.111111[/C][/ROW]
[ROW][C][7.1,7.15[[/C][C]7.125[/C][C]2[/C][C]0.027778[/C][C]0.944444[/C][C]0.555556[/C][/ROW]
[ROW][C][7.15,7.2[[/C][C]7.175[/C][C]0[/C][C]0[/C][C]0.944444[/C][C]0[/C][/ROW]
[ROW][C][7.2,7.25[[/C][C]7.225[/C][C]2[/C][C]0.027778[/C][C]0.972222[/C][C]0.555556[/C][/ROW]
[ROW][C][7.25,7.3][/C][C]7.275[/C][C]2[/C][C]0.027778[/C][C]1[/C][C]0.555556[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=126731&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=126731&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
[5.8,5.85[	5.825	1	0.013889	0.013889	0.277778
[5.85,5.9[	5.875	3	0.041667	0.055556	0.833333
[5.9,5.95[	5.925	3	0.041667	0.097222	0.833333
[5.95,6[	5.975	2	0.027778	0.125	0.555556
[6,6.05[	6.025	3	0.041667	0.166667	0.833333
[6.05,6.1[	6.075	0	0	0.166667	0
[6.1,6.15[	6.125	2	0.027778	0.194444	0.555556
[6.15,6.2[	6.175	4	0.055556	0.25	1.111111
[6.2,6.25[	6.225	3	0.041667	0.291667	0.833333
[6.25,6.3[	6.275	4	0.055556	0.347222	1.111111
[6.3,6.35[	6.325	1	0.013889	0.361111	0.277778
[6.35,6.4[	6.375	4	0.055556	0.416667	1.111111
[6.4,6.45[	6.425	5	0.069444	0.486111	1.388889
[6.45,6.5[	6.475	3	0.041667	0.527778	0.833333
[6.5,6.55[	6.525	2	0.027778	0.555556	0.555556
[6.55,6.6[	6.575	2	0.027778	0.583333	0.555556
[6.6,6.65[	6.625	2	0.027778	0.611111	0.555556
[6.65,6.7[	6.675	1	0.013889	0.625	0.277778
[6.7,6.75[	6.725	1	0.013889	0.638889	0.277778
[6.75,6.8[	6.775	2	0.027778	0.666667	0.555556
[6.8,6.85[	6.825	2	0.027778	0.694444	0.555556
[6.85,6.9[	6.875	4	0.055556	0.75	1.111111
[6.9,6.95[	6.925	4	0.055556	0.805556	1.111111
[6.95,7[	6.975	3	0.041667	0.847222	0.833333
[7,7.05[	7.025	1	0.013889	0.861111	0.277778
[7.05,7.1[	7.075	4	0.055556	0.916667	1.111111
[7.1,7.15[	7.125	2	0.027778	0.944444	0.555556
[7.15,7.2[	7.175	0	0	0.944444	0
[7.2,7.25[	7.225	2	0.027778	0.972222	0.555556
[7.25,7.3]	7.275	2	0.027778	1	0.555556

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 25 ; par2 = grey ; par3 = FALSE ; par4 = Interval/Ratio ;

Parameters (R input):

par1 = 25 ; par2 = grey ; par3 = FALSE ; par4 = Interval/Ratio ;

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')
}

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code