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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, 08 Oct 2012 11:24:53 -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/Oct/08/t1349709916t2b9xsh03g2yzuv.htm/, Retrieved Thu, 02 May 2024 06:10:12 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=173785, Retrieved Thu, 02 May 2024 06:10:12 +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)

-     [Univariate Data Series] [] [2012-10-08 14:06:11] [0b48e45e6f325a22e56fd7a471cfac07]
- RMP     [Histogram] [] [2012-10-08 15:24:53] [094ed89fe81fbe7ca359945eca8d835d] [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	'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=173785&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=173785&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173785&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
[95.3,95.4[	95.35	1	0.013889	0.013889	0.138889
[95.4,95.5[	95.45	0	0	0.013889	0
[95.5,95.6[	95.55	3	0.041667	0.055556	0.416667
[95.6,95.7[	95.65	4	0.055556	0.111111	0.555556
[95.7,95.8[	95.75	0	0	0.111111	0
[95.8,95.9[	95.85	0	0	0.111111	0
[95.9,96[	95.95	4	0.055556	0.166667	0.555556
[96,96.1[	96.05	2	0.027778	0.194444	0.277778
[96.1,96.2[	96.15	0	0	0.194444	0
[96.2,96.3[	96.25	4	0.055556	0.25	0.555556
[96.3,96.4[	96.35	0	0	0.25	0
[96.4,96.5[	96.45	1	0.013889	0.263889	0.138889
[96.5,96.6[	96.55	0	0	0.263889	0
[96.6,96.7[	96.65	1	0.013889	0.277778	0.138889
[96.7,96.8[	96.75	3	0.041667	0.319444	0.416667
[96.8,96.9[	96.85	7	0.097222	0.416667	0.972222
[96.9,97[	96.95	3	0.041667	0.458333	0.416667
[97,97.1[	97.05	0	0	0.458333	0
[97.1,97.2[	97.15	6	0.083333	0.541667	0.833333
[97.2,97.3[	97.25	0	0	0.541667	0
[97.3,97.4[	97.35	2	0.027778	0.569444	0.277778
[97.4,97.5[	97.45	5	0.069444	0.638889	0.694444
[97.5,97.6[	97.55	0	0	0.638889	0
[97.6,97.7[	97.65	1	0.013889	0.652778	0.138889
[97.7,97.8[	97.75	0	0	0.652778	0
[97.8,97.9[	97.85	2	0.027778	0.680556	0.277778
[97.9,98[	97.95	8	0.111111	0.791667	1.111111
[98,98.1[	98.05	4	0.055556	0.847222	0.555556
[98.1,98.2[	98.15	3	0.041667	0.888889	0.416667
[98.2,98.3[	98.25	5	0.069444	0.958333	0.694444
[98.3,98.4[	98.35	0	0	0.958333	0
[98.4,98.5[	98.45	0	0	0.958333	0
[98.5,98.6]	98.55	3	0.041667	1	0.416667

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[95.3,95.4[ & 95.35 & 1 & 0.013889 & 0.013889 & 0.138889 \tabularnewline
[95.4,95.5[ & 95.45 & 0 & 0 & 0.013889 & 0 \tabularnewline
[95.5,95.6[ & 95.55 & 3 & 0.041667 & 0.055556 & 0.416667 \tabularnewline
[95.6,95.7[ & 95.65 & 4 & 0.055556 & 0.111111 & 0.555556 \tabularnewline
[95.7,95.8[ & 95.75 & 0 & 0 & 0.111111 & 0 \tabularnewline
[95.8,95.9[ & 95.85 & 0 & 0 & 0.111111 & 0 \tabularnewline
[95.9,96[ & 95.95 & 4 & 0.055556 & 0.166667 & 0.555556 \tabularnewline
[96,96.1[ & 96.05 & 2 & 0.027778 & 0.194444 & 0.277778 \tabularnewline
[96.1,96.2[ & 96.15 & 0 & 0 & 0.194444 & 0 \tabularnewline
[96.2,96.3[ & 96.25 & 4 & 0.055556 & 0.25 & 0.555556 \tabularnewline
[96.3,96.4[ & 96.35 & 0 & 0 & 0.25 & 0 \tabularnewline
[96.4,96.5[ & 96.45 & 1 & 0.013889 & 0.263889 & 0.138889 \tabularnewline
[96.5,96.6[ & 96.55 & 0 & 0 & 0.263889 & 0 \tabularnewline
[96.6,96.7[ & 96.65 & 1 & 0.013889 & 0.277778 & 0.138889 \tabularnewline
[96.7,96.8[ & 96.75 & 3 & 0.041667 & 0.319444 & 0.416667 \tabularnewline
[96.8,96.9[ & 96.85 & 7 & 0.097222 & 0.416667 & 0.972222 \tabularnewline
[96.9,97[ & 96.95 & 3 & 0.041667 & 0.458333 & 0.416667 \tabularnewline
[97,97.1[ & 97.05 & 0 & 0 & 0.458333 & 0 \tabularnewline
[97.1,97.2[ & 97.15 & 6 & 0.083333 & 0.541667 & 0.833333 \tabularnewline
[97.2,97.3[ & 97.25 & 0 & 0 & 0.541667 & 0 \tabularnewline
[97.3,97.4[ & 97.35 & 2 & 0.027778 & 0.569444 & 0.277778 \tabularnewline
[97.4,97.5[ & 97.45 & 5 & 0.069444 & 0.638889 & 0.694444 \tabularnewline
[97.5,97.6[ & 97.55 & 0 & 0 & 0.638889 & 0 \tabularnewline
[97.6,97.7[ & 97.65 & 1 & 0.013889 & 0.652778 & 0.138889 \tabularnewline
[97.7,97.8[ & 97.75 & 0 & 0 & 0.652778 & 0 \tabularnewline
[97.8,97.9[ & 97.85 & 2 & 0.027778 & 0.680556 & 0.277778 \tabularnewline
[97.9,98[ & 97.95 & 8 & 0.111111 & 0.791667 & 1.111111 \tabularnewline
[98,98.1[ & 98.05 & 4 & 0.055556 & 0.847222 & 0.555556 \tabularnewline
[98.1,98.2[ & 98.15 & 3 & 0.041667 & 0.888889 & 0.416667 \tabularnewline
[98.2,98.3[ & 98.25 & 5 & 0.069444 & 0.958333 & 0.694444 \tabularnewline
[98.3,98.4[ & 98.35 & 0 & 0 & 0.958333 & 0 \tabularnewline
[98.4,98.5[ & 98.45 & 0 & 0 & 0.958333 & 0 \tabularnewline
[98.5,98.6] & 98.55 & 3 & 0.041667 & 1 & 0.416667 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=173785&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][95.3,95.4[[/C][C]95.35[/C][C]1[/C][C]0.013889[/C][C]0.013889[/C][C]0.138889[/C][/ROW]
[ROW][C][95.4,95.5[[/C][C]95.45[/C][C]0[/C][C]0[/C][C]0.013889[/C][C]0[/C][/ROW]
[ROW][C][95.5,95.6[[/C][C]95.55[/C][C]3[/C][C]0.041667[/C][C]0.055556[/C][C]0.416667[/C][/ROW]
[ROW][C][95.6,95.7[[/C][C]95.65[/C][C]4[/C][C]0.055556[/C][C]0.111111[/C][C]0.555556[/C][/ROW]
[ROW][C][95.7,95.8[[/C][C]95.75[/C][C]0[/C][C]0[/C][C]0.111111[/C][C]0[/C][/ROW]
[ROW][C][95.8,95.9[[/C][C]95.85[/C][C]0[/C][C]0[/C][C]0.111111[/C][C]0[/C][/ROW]
[ROW][C][95.9,96[[/C][C]95.95[/C][C]4[/C][C]0.055556[/C][C]0.166667[/C][C]0.555556[/C][/ROW]
[ROW][C][96,96.1[[/C][C]96.05[/C][C]2[/C][C]0.027778[/C][C]0.194444[/C][C]0.277778[/C][/ROW]
[ROW][C][96.1,96.2[[/C][C]96.15[/C][C]0[/C][C]0[/C][C]0.194444[/C][C]0[/C][/ROW]
[ROW][C][96.2,96.3[[/C][C]96.25[/C][C]4[/C][C]0.055556[/C][C]0.25[/C][C]0.555556[/C][/ROW]
[ROW][C][96.3,96.4[[/C][C]96.35[/C][C]0[/C][C]0[/C][C]0.25[/C][C]0[/C][/ROW]
[ROW][C][96.4,96.5[[/C][C]96.45[/C][C]1[/C][C]0.013889[/C][C]0.263889[/C][C]0.138889[/C][/ROW]
[ROW][C][96.5,96.6[[/C][C]96.55[/C][C]0[/C][C]0[/C][C]0.263889[/C][C]0[/C][/ROW]
[ROW][C][96.6,96.7[[/C][C]96.65[/C][C]1[/C][C]0.013889[/C][C]0.277778[/C][C]0.138889[/C][/ROW]
[ROW][C][96.7,96.8[[/C][C]96.75[/C][C]3[/C][C]0.041667[/C][C]0.319444[/C][C]0.416667[/C][/ROW]
[ROW][C][96.8,96.9[[/C][C]96.85[/C][C]7[/C][C]0.097222[/C][C]0.416667[/C][C]0.972222[/C][/ROW]
[ROW][C][96.9,97[[/C][C]96.95[/C][C]3[/C][C]0.041667[/C][C]0.458333[/C][C]0.416667[/C][/ROW]
[ROW][C][97,97.1[[/C][C]97.05[/C][C]0[/C][C]0[/C][C]0.458333[/C][C]0[/C][/ROW]
[ROW][C][97.1,97.2[[/C][C]97.15[/C][C]6[/C][C]0.083333[/C][C]0.541667[/C][C]0.833333[/C][/ROW]
[ROW][C][97.2,97.3[[/C][C]97.25[/C][C]0[/C][C]0[/C][C]0.541667[/C][C]0[/C][/ROW]
[ROW][C][97.3,97.4[[/C][C]97.35[/C][C]2[/C][C]0.027778[/C][C]0.569444[/C][C]0.277778[/C][/ROW]
[ROW][C][97.4,97.5[[/C][C]97.45[/C][C]5[/C][C]0.069444[/C][C]0.638889[/C][C]0.694444[/C][/ROW]
[ROW][C][97.5,97.6[[/C][C]97.55[/C][C]0[/C][C]0[/C][C]0.638889[/C][C]0[/C][/ROW]
[ROW][C][97.6,97.7[[/C][C]97.65[/C][C]1[/C][C]0.013889[/C][C]0.652778[/C][C]0.138889[/C][/ROW]
[ROW][C][97.7,97.8[[/C][C]97.75[/C][C]0[/C][C]0[/C][C]0.652778[/C][C]0[/C][/ROW]
[ROW][C][97.8,97.9[[/C][C]97.85[/C][C]2[/C][C]0.027778[/C][C]0.680556[/C][C]0.277778[/C][/ROW]
[ROW][C][97.9,98[[/C][C]97.95[/C][C]8[/C][C]0.111111[/C][C]0.791667[/C][C]1.111111[/C][/ROW]
[ROW][C][98,98.1[[/C][C]98.05[/C][C]4[/C][C]0.055556[/C][C]0.847222[/C][C]0.555556[/C][/ROW]
[ROW][C][98.1,98.2[[/C][C]98.15[/C][C]3[/C][C]0.041667[/C][C]0.888889[/C][C]0.416667[/C][/ROW]
[ROW][C][98.2,98.3[[/C][C]98.25[/C][C]5[/C][C]0.069444[/C][C]0.958333[/C][C]0.694444[/C][/ROW]
[ROW][C][98.3,98.4[[/C][C]98.35[/C][C]0[/C][C]0[/C][C]0.958333[/C][C]0[/C][/ROW]
[ROW][C][98.4,98.5[[/C][C]98.45[/C][C]0[/C][C]0[/C][C]0.958333[/C][C]0[/C][/ROW]
[ROW][C][98.5,98.6][/C][C]98.55[/C][C]3[/C][C]0.041667[/C][C]1[/C][C]0.416667[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=173785&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=173785&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
[95.3,95.4[	95.35	1	0.013889	0.013889	0.138889
[95.4,95.5[	95.45	0	0	0.013889	0
[95.5,95.6[	95.55	3	0.041667	0.055556	0.416667
[95.6,95.7[	95.65	4	0.055556	0.111111	0.555556
[95.7,95.8[	95.75	0	0	0.111111	0
[95.8,95.9[	95.85	0	0	0.111111	0
[95.9,96[	95.95	4	0.055556	0.166667	0.555556
[96,96.1[	96.05	2	0.027778	0.194444	0.277778
[96.1,96.2[	96.15	0	0	0.194444	0
[96.2,96.3[	96.25	4	0.055556	0.25	0.555556
[96.3,96.4[	96.35	0	0	0.25	0
[96.4,96.5[	96.45	1	0.013889	0.263889	0.138889
[96.5,96.6[	96.55	0	0	0.263889	0
[96.6,96.7[	96.65	1	0.013889	0.277778	0.138889
[96.7,96.8[	96.75	3	0.041667	0.319444	0.416667
[96.8,96.9[	96.85	7	0.097222	0.416667	0.972222
[96.9,97[	96.95	3	0.041667	0.458333	0.416667
[97,97.1[	97.05	0	0	0.458333	0
[97.1,97.2[	97.15	6	0.083333	0.541667	0.833333
[97.2,97.3[	97.25	0	0	0.541667	0
[97.3,97.4[	97.35	2	0.027778	0.569444	0.277778
[97.4,97.5[	97.45	5	0.069444	0.638889	0.694444
[97.5,97.6[	97.55	0	0	0.638889	0
[97.6,97.7[	97.65	1	0.013889	0.652778	0.138889
[97.7,97.8[	97.75	0	0	0.652778	0
[97.8,97.9[	97.85	2	0.027778	0.680556	0.277778
[97.9,98[	97.95	8	0.111111	0.791667	1.111111
[98,98.1[	98.05	4	0.055556	0.847222	0.555556
[98.1,98.2[	98.15	3	0.041667	0.888889	0.416667
[98.2,98.3[	98.25	5	0.069444	0.958333	0.694444
[98.3,98.4[	98.35	0	0	0.958333	0
[98.4,98.5[	98.45	0	0	0.958333	0
[98.5,98.6]	98.55	3	0.041667	1	0.416667

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 25 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 25 ; 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