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Author

*Unverified author*

R Software Module

rwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Sun, 16 Oct 2011 07:47:00 -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/16/t1318765864muwbj2lxv39bq0k.htm/, Retrieved Thu, 16 May 2024 21:42:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=129992, Retrieved Thu, 16 May 2024 21:42:24 +0000

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Original text written by user:

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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] [histogram] [2011-10-16 11:47:00] [4e392218a4dc028c31ee423f9fa38414] [Current]

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Dataseries X:

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Histogram

Boxplots

7.6
7.4
7.3
7.1
6.9
6.8
7.5
7.6
7.8
8
8.1
8.2
8.3
8.2
8
7.9
7.6
7.6
8.3
8.4
8.4
8.4
8.4
8.6
8.9
8.8
8.3
7.5
7.2
7.4
8.8
9.3
9.3
8.7
8.2
8.3
8.5
8.6
8.5
8.2
8.1
7.9
8.6
8.7
8.7
8.5
8.4
8.5
8.7
8.7
8.6
8.5
8.3
8
8.2
8.1
8.1
8
7.9
7.9
8
8
7.9
8
7.7
7.2
7.5
7.3
7
7
7
7.2
7.3
7.1
6.8
6.4
6.1
6.5
7.7
7.9
7.5
6.9
6.6
6.9
7.7
8
8
7.7
7.3
7.4
8.1
8.3
8.1
7.9
7.9
8.3
8.6
8.7
8.5
8.3
8
8
8.8
8.7
8.5
8.1
7.8
7.6

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=129992&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=129992&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=129992&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
[6.1,6.2[	6.15	1	0.009259	0.009259	0.092593
[6.2,6.3[	6.25	0	0	0.009259	0
[6.3,6.4[	6.35	0	0	0.009259	0
[6.4,6.5[	6.45	1	0.009259	0.018519	0.092593
[6.5,6.6[	6.55	1	0.009259	0.027778	0.092593
[6.6,6.7[	6.65	1	0.009259	0.037037	0.092593
[6.7,6.8[	6.75	0	0	0.037037	0
[6.8,6.9[	6.85	2	0.018519	0.055556	0.185185
[6.9,7[	6.95	3	0.027778	0.083333	0.277778
[7,7.1[	7.05	3	0.027778	0.111111	0.277778
[7.1,7.2[	7.15	2	0.018519	0.12963	0.185185
[7.2,7.3[	7.25	3	0.027778	0.157407	0.277778
[7.3,7.4[	7.35	4	0.037037	0.194444	0.37037
[7.4,7.5[	7.45	3	0.027778	0.222222	0.277778
[7.5,7.6[	7.55	4	0.037037	0.259259	0.37037
[7.6,7.7[	7.65	5	0.046296	0.305556	0.462963
[7.7,7.8[	7.75	4	0.037037	0.342593	0.37037
[7.8,7.9[	7.85	2	0.018519	0.361111	0.185185
[7.9,8[	7.95	8	0.074074	0.435185	0.740741
[8,8.1[	8.05	11	0.101852	0.537037	1.018519
[8.1,8.2[	8.15	7	0.064815	0.601852	0.648148
[8.2,8.3[	8.25	5	0.046296	0.648148	0.462963
[8.3,8.4[	8.35	8	0.074074	0.722222	0.740741
[8.4,8.5[	8.45	5	0.046296	0.768519	0.462963
[8.5,8.6[	8.55	7	0.064815	0.833333	0.648148
[8.6,8.7[	8.65	5	0.046296	0.87963	0.462963
[8.7,8.8[	8.75	7	0.064815	0.944444	0.648148
[8.8,8.9[	8.85	3	0.027778	0.972222	0.277778
[8.9,9[	8.95	1	0.009259	0.981481	0.092593
[9,9.1[	9.05	0	0	0.981481	0
[9.1,9.2[	9.15	0	0	0.981481	0
[9.2,9.3]	9.25	2	0.018519	1	0.185185

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[6.1,6.2[ & 6.15 & 1 & 0.009259 & 0.009259 & 0.092593 \tabularnewline
[6.2,6.3[ & 6.25 & 0 & 0 & 0.009259 & 0 \tabularnewline
[6.3,6.4[ & 6.35 & 0 & 0 & 0.009259 & 0 \tabularnewline
[6.4,6.5[ & 6.45 & 1 & 0.009259 & 0.018519 & 0.092593 \tabularnewline
[6.5,6.6[ & 6.55 & 1 & 0.009259 & 0.027778 & 0.092593 \tabularnewline
[6.6,6.7[ & 6.65 & 1 & 0.009259 & 0.037037 & 0.092593 \tabularnewline
[6.7,6.8[ & 6.75 & 0 & 0 & 0.037037 & 0 \tabularnewline
[6.8,6.9[ & 6.85 & 2 & 0.018519 & 0.055556 & 0.185185 \tabularnewline
[6.9,7[ & 6.95 & 3 & 0.027778 & 0.083333 & 0.277778 \tabularnewline
[7,7.1[ & 7.05 & 3 & 0.027778 & 0.111111 & 0.277778 \tabularnewline
[7.1,7.2[ & 7.15 & 2 & 0.018519 & 0.12963 & 0.185185 \tabularnewline
[7.2,7.3[ & 7.25 & 3 & 0.027778 & 0.157407 & 0.277778 \tabularnewline
[7.3,7.4[ & 7.35 & 4 & 0.037037 & 0.194444 & 0.37037 \tabularnewline
[7.4,7.5[ & 7.45 & 3 & 0.027778 & 0.222222 & 0.277778 \tabularnewline
[7.5,7.6[ & 7.55 & 4 & 0.037037 & 0.259259 & 0.37037 \tabularnewline
[7.6,7.7[ & 7.65 & 5 & 0.046296 & 0.305556 & 0.462963 \tabularnewline
[7.7,7.8[ & 7.75 & 4 & 0.037037 & 0.342593 & 0.37037 \tabularnewline
[7.8,7.9[ & 7.85 & 2 & 0.018519 & 0.361111 & 0.185185 \tabularnewline
[7.9,8[ & 7.95 & 8 & 0.074074 & 0.435185 & 0.740741 \tabularnewline
[8,8.1[ & 8.05 & 11 & 0.101852 & 0.537037 & 1.018519 \tabularnewline
[8.1,8.2[ & 8.15 & 7 & 0.064815 & 0.601852 & 0.648148 \tabularnewline
[8.2,8.3[ & 8.25 & 5 & 0.046296 & 0.648148 & 0.462963 \tabularnewline
[8.3,8.4[ & 8.35 & 8 & 0.074074 & 0.722222 & 0.740741 \tabularnewline
[8.4,8.5[ & 8.45 & 5 & 0.046296 & 0.768519 & 0.462963 \tabularnewline
[8.5,8.6[ & 8.55 & 7 & 0.064815 & 0.833333 & 0.648148 \tabularnewline
[8.6,8.7[ & 8.65 & 5 & 0.046296 & 0.87963 & 0.462963 \tabularnewline
[8.7,8.8[ & 8.75 & 7 & 0.064815 & 0.944444 & 0.648148 \tabularnewline
[8.8,8.9[ & 8.85 & 3 & 0.027778 & 0.972222 & 0.277778 \tabularnewline
[8.9,9[ & 8.95 & 1 & 0.009259 & 0.981481 & 0.092593 \tabularnewline
[9,9.1[ & 9.05 & 0 & 0 & 0.981481 & 0 \tabularnewline
[9.1,9.2[ & 9.15 & 0 & 0 & 0.981481 & 0 \tabularnewline
[9.2,9.3] & 9.25 & 2 & 0.018519 & 1 & 0.185185 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=129992&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][6.1,6.2[[/C][C]6.15[/C][C]1[/C][C]0.009259[/C][C]0.009259[/C][C]0.092593[/C][/ROW]
[ROW][C][6.2,6.3[[/C][C]6.25[/C][C]0[/C][C]0[/C][C]0.009259[/C][C]0[/C][/ROW]
[ROW][C][6.3,6.4[[/C][C]6.35[/C][C]0[/C][C]0[/C][C]0.009259[/C][C]0[/C][/ROW]
[ROW][C][6.4,6.5[[/C][C]6.45[/C][C]1[/C][C]0.009259[/C][C]0.018519[/C][C]0.092593[/C][/ROW]
[ROW][C][6.5,6.6[[/C][C]6.55[/C][C]1[/C][C]0.009259[/C][C]0.027778[/C][C]0.092593[/C][/ROW]
[ROW][C][6.6,6.7[[/C][C]6.65[/C][C]1[/C][C]0.009259[/C][C]0.037037[/C][C]0.092593[/C][/ROW]
[ROW][C][6.7,6.8[[/C][C]6.75[/C][C]0[/C][C]0[/C][C]0.037037[/C][C]0[/C][/ROW]
[ROW][C][6.8,6.9[[/C][C]6.85[/C][C]2[/C][C]0.018519[/C][C]0.055556[/C][C]0.185185[/C][/ROW]
[ROW][C][6.9,7[[/C][C]6.95[/C][C]3[/C][C]0.027778[/C][C]0.083333[/C][C]0.277778[/C][/ROW]
[ROW][C][7,7.1[[/C][C]7.05[/C][C]3[/C][C]0.027778[/C][C]0.111111[/C][C]0.277778[/C][/ROW]
[ROW][C][7.1,7.2[[/C][C]7.15[/C][C]2[/C][C]0.018519[/C][C]0.12963[/C][C]0.185185[/C][/ROW]
[ROW][C][7.2,7.3[[/C][C]7.25[/C][C]3[/C][C]0.027778[/C][C]0.157407[/C][C]0.277778[/C][/ROW]
[ROW][C][7.3,7.4[[/C][C]7.35[/C][C]4[/C][C]0.037037[/C][C]0.194444[/C][C]0.37037[/C][/ROW]
[ROW][C][7.4,7.5[[/C][C]7.45[/C][C]3[/C][C]0.027778[/C][C]0.222222[/C][C]0.277778[/C][/ROW]
[ROW][C][7.5,7.6[[/C][C]7.55[/C][C]4[/C][C]0.037037[/C][C]0.259259[/C][C]0.37037[/C][/ROW]
[ROW][C][7.6,7.7[[/C][C]7.65[/C][C]5[/C][C]0.046296[/C][C]0.305556[/C][C]0.462963[/C][/ROW]
[ROW][C][7.7,7.8[[/C][C]7.75[/C][C]4[/C][C]0.037037[/C][C]0.342593[/C][C]0.37037[/C][/ROW]
[ROW][C][7.8,7.9[[/C][C]7.85[/C][C]2[/C][C]0.018519[/C][C]0.361111[/C][C]0.185185[/C][/ROW]
[ROW][C][7.9,8[[/C][C]7.95[/C][C]8[/C][C]0.074074[/C][C]0.435185[/C][C]0.740741[/C][/ROW]
[ROW][C][8,8.1[[/C][C]8.05[/C][C]11[/C][C]0.101852[/C][C]0.537037[/C][C]1.018519[/C][/ROW]
[ROW][C][8.1,8.2[[/C][C]8.15[/C][C]7[/C][C]0.064815[/C][C]0.601852[/C][C]0.648148[/C][/ROW]
[ROW][C][8.2,8.3[[/C][C]8.25[/C][C]5[/C][C]0.046296[/C][C]0.648148[/C][C]0.462963[/C][/ROW]
[ROW][C][8.3,8.4[[/C][C]8.35[/C][C]8[/C][C]0.074074[/C][C]0.722222[/C][C]0.740741[/C][/ROW]
[ROW][C][8.4,8.5[[/C][C]8.45[/C][C]5[/C][C]0.046296[/C][C]0.768519[/C][C]0.462963[/C][/ROW]
[ROW][C][8.5,8.6[[/C][C]8.55[/C][C]7[/C][C]0.064815[/C][C]0.833333[/C][C]0.648148[/C][/ROW]
[ROW][C][8.6,8.7[[/C][C]8.65[/C][C]5[/C][C]0.046296[/C][C]0.87963[/C][C]0.462963[/C][/ROW]
[ROW][C][8.7,8.8[[/C][C]8.75[/C][C]7[/C][C]0.064815[/C][C]0.944444[/C][C]0.648148[/C][/ROW]
[ROW][C][8.8,8.9[[/C][C]8.85[/C][C]3[/C][C]0.027778[/C][C]0.972222[/C][C]0.277778[/C][/ROW]
[ROW][C][8.9,9[[/C][C]8.95[/C][C]1[/C][C]0.009259[/C][C]0.981481[/C][C]0.092593[/C][/ROW]
[ROW][C][9,9.1[[/C][C]9.05[/C][C]0[/C][C]0[/C][C]0.981481[/C][C]0[/C][/ROW]
[ROW][C][9.1,9.2[[/C][C]9.15[/C][C]0[/C][C]0[/C][C]0.981481[/C][C]0[/C][/ROW]
[ROW][C][9.2,9.3][/C][C]9.25[/C][C]2[/C][C]0.018519[/C][C]1[/C][C]0.185185[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=129992&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=129992&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
[6.1,6.2[	6.15	1	0.009259	0.009259	0.092593
[6.2,6.3[	6.25	0	0	0.009259	0
[6.3,6.4[	6.35	0	0	0.009259	0
[6.4,6.5[	6.45	1	0.009259	0.018519	0.092593
[6.5,6.6[	6.55	1	0.009259	0.027778	0.092593
[6.6,6.7[	6.65	1	0.009259	0.037037	0.092593
[6.7,6.8[	6.75	0	0	0.037037	0
[6.8,6.9[	6.85	2	0.018519	0.055556	0.185185
[6.9,7[	6.95	3	0.027778	0.083333	0.277778
[7,7.1[	7.05	3	0.027778	0.111111	0.277778
[7.1,7.2[	7.15	2	0.018519	0.12963	0.185185
[7.2,7.3[	7.25	3	0.027778	0.157407	0.277778
[7.3,7.4[	7.35	4	0.037037	0.194444	0.37037
[7.4,7.5[	7.45	3	0.027778	0.222222	0.277778
[7.5,7.6[	7.55	4	0.037037	0.259259	0.37037
[7.6,7.7[	7.65	5	0.046296	0.305556	0.462963
[7.7,7.8[	7.75	4	0.037037	0.342593	0.37037
[7.8,7.9[	7.85	2	0.018519	0.361111	0.185185
[7.9,8[	7.95	8	0.074074	0.435185	0.740741
[8,8.1[	8.05	11	0.101852	0.537037	1.018519
[8.1,8.2[	8.15	7	0.064815	0.601852	0.648148
[8.2,8.3[	8.25	5	0.046296	0.648148	0.462963
[8.3,8.4[	8.35	8	0.074074	0.722222	0.740741
[8.4,8.5[	8.45	5	0.046296	0.768519	0.462963
[8.5,8.6[	8.55	7	0.064815	0.833333	0.648148
[8.6,8.7[	8.65	5	0.046296	0.87963	0.462963
[8.7,8.8[	8.75	7	0.064815	0.944444	0.648148
[8.8,8.9[	8.85	3	0.027778	0.972222	0.277778
[8.9,9[	8.95	1	0.009259	0.981481	0.092593
[9,9.1[	9.05	0	0	0.981481	0
[9.1,9.2[	9.15	0	0	0.981481	0
[9.2,9.3]	9.25	2	0.018519	1	0.185185

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 40 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 40 ; 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')
}

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code