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Author

*Unverified author*

R Software Module

rwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Thu, 09 Feb 2012 05:21:26 -0500

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/Feb/09/t1328782917j208032d9yecbsi.htm/, Retrieved Fri, 03 May 2024 14:07:41 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=161942, Retrieved Fri, 03 May 2024 14:07:41 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

126

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

-       [Histogram] [Opdracht 1 IKO Je...] [2012-02-09 10:21:26] [4080e77d9380e2af46712fd05e0afa1e] [Current]

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Dataseries X:

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Histogram

Boxplots

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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161942&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161942&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161942&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	'Gertrude Mary Cox' @ cox.wessa.net

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[1.7,1.8[	1.75	23	0.306667	0.306667	3.066667
[1.8,1.9[	1.85	2	0.026667	0.333333	0.266667
[1.9,2[	1.95	1	0.013333	0.346667	0.133333
[2,2.1[	2.05	3	0.04	0.386667	0.4
[2.1,2.2[	2.15	1	0.013333	0.4	0.133333
[2.2,2.3[	2.25	3	0.04	0.44	0.4
[2.3,2.4[	2.35	1	0.013333	0.453333	0.133333
[2.4,2.5[	2.45	0	0	0.453333	0
[2.5,2.6[	2.55	0	0	0.453333	0
[2.6,2.7[	2.65	1	0.013333	0.466667	0.133333
[2.7,2.8[	2.75	0	0	0.466667	0
[2.8,2.9[	2.85	0	0	0.466667	0
[2.9,3[	2.95	0	0	0.466667	0
[3,3.1[	3.05	3	0.04	0.506667	0.4
[3.1,3.2[	3.15	0	0	0.506667	0
[3.2,3.3[	3.25	4	0.053333	0.56	0.533333
[3.3,3.4[	3.35	0	0	0.56	0
[3.4,3.5[	3.45	1	0.013333	0.573333	0.133333
[3.5,3.6[	3.55	2	0.026667	0.6	0.266667
[3.6,3.7[	3.65	1	0.013333	0.613333	0.133333
[3.7,3.8[	3.75	1	0.013333	0.626667	0.133333
[3.8,3.9[	3.85	0	0	0.626667	0
[3.9,4[	3.95	2	0.026667	0.653333	0.266667
[4,4.1[	4.05	1	0.013333	0.666667	0.133333
[4.1,4.2[	4.15	1	0.013333	0.68	0.133333
[4.2,4.3[	4.25	1	0.013333	0.693333	0.133333
[4.3,4.4[	4.35	1	0.013333	0.706667	0.133333
[4.4,4.5[	4.45	1	0.013333	0.72	0.133333
[4.5,4.6[	4.55	2	0.026667	0.746667	0.266667
[4.6,4.7[	4.65	1	0.013333	0.76	0.133333
[4.7,4.8[	4.75	2	0.026667	0.786667	0.266667
[4.8,4.9[	4.85	0	0	0.786667	0
[4.9,5[	4.95	1	0.013333	0.8	0.133333
[5,5.1[	5.05	12	0.16	0.96	1.6
[5.1,5.2[	5.15	1	0.013333	0.973333	0.133333
[5.2,5.3]	5.25	2	0.026667	1	0.266667

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[1.7,1.8[ & 1.75 & 23 & 0.306667 & 0.306667 & 3.066667 \tabularnewline
[1.8,1.9[ & 1.85 & 2 & 0.026667 & 0.333333 & 0.266667 \tabularnewline
[1.9,2[ & 1.95 & 1 & 0.013333 & 0.346667 & 0.133333 \tabularnewline
[2,2.1[ & 2.05 & 3 & 0.04 & 0.386667 & 0.4 \tabularnewline
[2.1,2.2[ & 2.15 & 1 & 0.013333 & 0.4 & 0.133333 \tabularnewline
[2.2,2.3[ & 2.25 & 3 & 0.04 & 0.44 & 0.4 \tabularnewline
[2.3,2.4[ & 2.35 & 1 & 0.013333 & 0.453333 & 0.133333 \tabularnewline
[2.4,2.5[ & 2.45 & 0 & 0 & 0.453333 & 0 \tabularnewline
[2.5,2.6[ & 2.55 & 0 & 0 & 0.453333 & 0 \tabularnewline
[2.6,2.7[ & 2.65 & 1 & 0.013333 & 0.466667 & 0.133333 \tabularnewline
[2.7,2.8[ & 2.75 & 0 & 0 & 0.466667 & 0 \tabularnewline
[2.8,2.9[ & 2.85 & 0 & 0 & 0.466667 & 0 \tabularnewline
[2.9,3[ & 2.95 & 0 & 0 & 0.466667 & 0 \tabularnewline
[3,3.1[ & 3.05 & 3 & 0.04 & 0.506667 & 0.4 \tabularnewline
[3.1,3.2[ & 3.15 & 0 & 0 & 0.506667 & 0 \tabularnewline
[3.2,3.3[ & 3.25 & 4 & 0.053333 & 0.56 & 0.533333 \tabularnewline
[3.3,3.4[ & 3.35 & 0 & 0 & 0.56 & 0 \tabularnewline
[3.4,3.5[ & 3.45 & 1 & 0.013333 & 0.573333 & 0.133333 \tabularnewline
[3.5,3.6[ & 3.55 & 2 & 0.026667 & 0.6 & 0.266667 \tabularnewline
[3.6,3.7[ & 3.65 & 1 & 0.013333 & 0.613333 & 0.133333 \tabularnewline
[3.7,3.8[ & 3.75 & 1 & 0.013333 & 0.626667 & 0.133333 \tabularnewline
[3.8,3.9[ & 3.85 & 0 & 0 & 0.626667 & 0 \tabularnewline
[3.9,4[ & 3.95 & 2 & 0.026667 & 0.653333 & 0.266667 \tabularnewline
[4,4.1[ & 4.05 & 1 & 0.013333 & 0.666667 & 0.133333 \tabularnewline
[4.1,4.2[ & 4.15 & 1 & 0.013333 & 0.68 & 0.133333 \tabularnewline
[4.2,4.3[ & 4.25 & 1 & 0.013333 & 0.693333 & 0.133333 \tabularnewline
[4.3,4.4[ & 4.35 & 1 & 0.013333 & 0.706667 & 0.133333 \tabularnewline
[4.4,4.5[ & 4.45 & 1 & 0.013333 & 0.72 & 0.133333 \tabularnewline
[4.5,4.6[ & 4.55 & 2 & 0.026667 & 0.746667 & 0.266667 \tabularnewline
[4.6,4.7[ & 4.65 & 1 & 0.013333 & 0.76 & 0.133333 \tabularnewline
[4.7,4.8[ & 4.75 & 2 & 0.026667 & 0.786667 & 0.266667 \tabularnewline
[4.8,4.9[ & 4.85 & 0 & 0 & 0.786667 & 0 \tabularnewline
[4.9,5[ & 4.95 & 1 & 0.013333 & 0.8 & 0.133333 \tabularnewline
[5,5.1[ & 5.05 & 12 & 0.16 & 0.96 & 1.6 \tabularnewline
[5.1,5.2[ & 5.15 & 1 & 0.013333 & 0.973333 & 0.133333 \tabularnewline
[5.2,5.3] & 5.25 & 2 & 0.026667 & 1 & 0.266667 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161942&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][1.7,1.8[[/C][C]1.75[/C][C]23[/C][C]0.306667[/C][C]0.306667[/C][C]3.066667[/C][/ROW]
[ROW][C][1.8,1.9[[/C][C]1.85[/C][C]2[/C][C]0.026667[/C][C]0.333333[/C][C]0.266667[/C][/ROW]
[ROW][C][1.9,2[[/C][C]1.95[/C][C]1[/C][C]0.013333[/C][C]0.346667[/C][C]0.133333[/C][/ROW]
[ROW][C][2,2.1[[/C][C]2.05[/C][C]3[/C][C]0.04[/C][C]0.386667[/C][C]0.4[/C][/ROW]
[ROW][C][2.1,2.2[[/C][C]2.15[/C][C]1[/C][C]0.013333[/C][C]0.4[/C][C]0.133333[/C][/ROW]
[ROW][C][2.2,2.3[[/C][C]2.25[/C][C]3[/C][C]0.04[/C][C]0.44[/C][C]0.4[/C][/ROW]
[ROW][C][2.3,2.4[[/C][C]2.35[/C][C]1[/C][C]0.013333[/C][C]0.453333[/C][C]0.133333[/C][/ROW]
[ROW][C][2.4,2.5[[/C][C]2.45[/C][C]0[/C][C]0[/C][C]0.453333[/C][C]0[/C][/ROW]
[ROW][C][2.5,2.6[[/C][C]2.55[/C][C]0[/C][C]0[/C][C]0.453333[/C][C]0[/C][/ROW]
[ROW][C][2.6,2.7[[/C][C]2.65[/C][C]1[/C][C]0.013333[/C][C]0.466667[/C][C]0.133333[/C][/ROW]
[ROW][C][2.7,2.8[[/C][C]2.75[/C][C]0[/C][C]0[/C][C]0.466667[/C][C]0[/C][/ROW]
[ROW][C][2.8,2.9[[/C][C]2.85[/C][C]0[/C][C]0[/C][C]0.466667[/C][C]0[/C][/ROW]
[ROW][C][2.9,3[[/C][C]2.95[/C][C]0[/C][C]0[/C][C]0.466667[/C][C]0[/C][/ROW]
[ROW][C][3,3.1[[/C][C]3.05[/C][C]3[/C][C]0.04[/C][C]0.506667[/C][C]0.4[/C][/ROW]
[ROW][C][3.1,3.2[[/C][C]3.15[/C][C]0[/C][C]0[/C][C]0.506667[/C][C]0[/C][/ROW]
[ROW][C][3.2,3.3[[/C][C]3.25[/C][C]4[/C][C]0.053333[/C][C]0.56[/C][C]0.533333[/C][/ROW]
[ROW][C][3.3,3.4[[/C][C]3.35[/C][C]0[/C][C]0[/C][C]0.56[/C][C]0[/C][/ROW]
[ROW][C][3.4,3.5[[/C][C]3.45[/C][C]1[/C][C]0.013333[/C][C]0.573333[/C][C]0.133333[/C][/ROW]
[ROW][C][3.5,3.6[[/C][C]3.55[/C][C]2[/C][C]0.026667[/C][C]0.6[/C][C]0.266667[/C][/ROW]
[ROW][C][3.6,3.7[[/C][C]3.65[/C][C]1[/C][C]0.013333[/C][C]0.613333[/C][C]0.133333[/C][/ROW]
[ROW][C][3.7,3.8[[/C][C]3.75[/C][C]1[/C][C]0.013333[/C][C]0.626667[/C][C]0.133333[/C][/ROW]
[ROW][C][3.8,3.9[[/C][C]3.85[/C][C]0[/C][C]0[/C][C]0.626667[/C][C]0[/C][/ROW]
[ROW][C][3.9,4[[/C][C]3.95[/C][C]2[/C][C]0.026667[/C][C]0.653333[/C][C]0.266667[/C][/ROW]
[ROW][C][4,4.1[[/C][C]4.05[/C][C]1[/C][C]0.013333[/C][C]0.666667[/C][C]0.133333[/C][/ROW]
[ROW][C][4.1,4.2[[/C][C]4.15[/C][C]1[/C][C]0.013333[/C][C]0.68[/C][C]0.133333[/C][/ROW]
[ROW][C][4.2,4.3[[/C][C]4.25[/C][C]1[/C][C]0.013333[/C][C]0.693333[/C][C]0.133333[/C][/ROW]
[ROW][C][4.3,4.4[[/C][C]4.35[/C][C]1[/C][C]0.013333[/C][C]0.706667[/C][C]0.133333[/C][/ROW]
[ROW][C][4.4,4.5[[/C][C]4.45[/C][C]1[/C][C]0.013333[/C][C]0.72[/C][C]0.133333[/C][/ROW]
[ROW][C][4.5,4.6[[/C][C]4.55[/C][C]2[/C][C]0.026667[/C][C]0.746667[/C][C]0.266667[/C][/ROW]
[ROW][C][4.6,4.7[[/C][C]4.65[/C][C]1[/C][C]0.013333[/C][C]0.76[/C][C]0.133333[/C][/ROW]
[ROW][C][4.7,4.8[[/C][C]4.75[/C][C]2[/C][C]0.026667[/C][C]0.786667[/C][C]0.266667[/C][/ROW]
[ROW][C][4.8,4.9[[/C][C]4.85[/C][C]0[/C][C]0[/C][C]0.786667[/C][C]0[/C][/ROW]
[ROW][C][4.9,5[[/C][C]4.95[/C][C]1[/C][C]0.013333[/C][C]0.8[/C][C]0.133333[/C][/ROW]
[ROW][C][5,5.1[[/C][C]5.05[/C][C]12[/C][C]0.16[/C][C]0.96[/C][C]1.6[/C][/ROW]
[ROW][C][5.1,5.2[[/C][C]5.15[/C][C]1[/C][C]0.013333[/C][C]0.973333[/C][C]0.133333[/C][/ROW]
[ROW][C][5.2,5.3][/C][C]5.25[/C][C]2[/C][C]0.026667[/C][C]1[/C][C]0.266667[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161942&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161942&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
[1.7,1.8[	1.75	23	0.306667	0.306667	3.066667
[1.8,1.9[	1.85	2	0.026667	0.333333	0.266667
[1.9,2[	1.95	1	0.013333	0.346667	0.133333
[2,2.1[	2.05	3	0.04	0.386667	0.4
[2.1,2.2[	2.15	1	0.013333	0.4	0.133333
[2.2,2.3[	2.25	3	0.04	0.44	0.4
[2.3,2.4[	2.35	1	0.013333	0.453333	0.133333
[2.4,2.5[	2.45	0	0	0.453333	0
[2.5,2.6[	2.55	0	0	0.453333	0
[2.6,2.7[	2.65	1	0.013333	0.466667	0.133333
[2.7,2.8[	2.75	0	0	0.466667	0
[2.8,2.9[	2.85	0	0	0.466667	0
[2.9,3[	2.95	0	0	0.466667	0
[3,3.1[	3.05	3	0.04	0.506667	0.4
[3.1,3.2[	3.15	0	0	0.506667	0
[3.2,3.3[	3.25	4	0.053333	0.56	0.533333
[3.3,3.4[	3.35	0	0	0.56	0
[3.4,3.5[	3.45	1	0.013333	0.573333	0.133333
[3.5,3.6[	3.55	2	0.026667	0.6	0.266667
[3.6,3.7[	3.65	1	0.013333	0.613333	0.133333
[3.7,3.8[	3.75	1	0.013333	0.626667	0.133333
[3.8,3.9[	3.85	0	0	0.626667	0
[3.9,4[	3.95	2	0.026667	0.653333	0.266667
[4,4.1[	4.05	1	0.013333	0.666667	0.133333
[4.1,4.2[	4.15	1	0.013333	0.68	0.133333
[4.2,4.3[	4.25	1	0.013333	0.693333	0.133333
[4.3,4.4[	4.35	1	0.013333	0.706667	0.133333
[4.4,4.5[	4.45	1	0.013333	0.72	0.133333
[4.5,4.6[	4.55	2	0.026667	0.746667	0.266667
[4.6,4.7[	4.65	1	0.013333	0.76	0.133333
[4.7,4.8[	4.75	2	0.026667	0.786667	0.266667
[4.8,4.9[	4.85	0	0	0.786667	0
[4.9,5[	4.95	1	0.013333	0.8	0.133333
[5,5.1[	5.05	12	0.16	0.96	1.6
[5.1,5.2[	5.15	1	0.013333	0.973333	0.133333
[5.2,5.3]	5.25	2	0.026667	1	0.266667

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 75 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 75 ; 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