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Author's title

Author

*Unverified author*

R Software Module

rwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Thu, 16 Feb 2012 07:41:49 -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/16/t1329396125b94f40a565qawus.htm/, Retrieved Sun, 28 Apr 2024 04:28:18 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=162642, Retrieved Sun, 28 Apr 2024 04:28:18 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

147

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

-     [Univariate Data Series] [] [2012-02-02 15:19:38] [330b77d0481182a4c7f076b49d5de61b]
- RMPD    [Histogram] [] [2012-02-16 12:41:49] [48249b2bec42daa046414fd256b57193] [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

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=162642&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=162642&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=162642&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
[7.65,7.7[	7.675	1	0.016667	0.016667	0.333333
[7.7,7.75[	7.725	1	0.016667	0.033333	0.333333
[7.75,7.8[	7.775	1	0.016667	0.05	0.333333
[7.8,7.85[	7.825	2	0.033333	0.083333	0.666667
[7.85,7.9[	7.875	0	0	0.083333	0
[7.9,7.95[	7.925	2	0.033333	0.116667	0.666667
[7.95,8[	7.975	2	0.033333	0.15	0.666667
[8,8.05[	8.025	5	0.083333	0.233333	1.666667
[8.05,8.1[	8.075	4	0.066667	0.3	1.333333
[8.1,8.15[	8.125	3	0.05	0.35	1
[8.15,8.2[	8.175	4	0.066667	0.416667	1.333333
[8.2,8.25[	8.225	1	0.016667	0.433333	0.333333
[8.25,8.3[	8.275	0	0	0.433333	0
[8.3,8.35[	8.325	5	0.083333	0.516667	1.666667
[8.35,8.4[	8.375	1	0.016667	0.533333	0.333333
[8.4,8.45[	8.425	1	0.016667	0.55	0.333333
[8.45,8.5[	8.475	0	0	0.55	0
[8.5,8.55[	8.525	1	0.016667	0.566667	0.333333
[8.55,8.6[	8.575	0	0	0.566667	0
[8.6,8.65[	8.625	3	0.05	0.616667	1
[8.65,8.7[	8.675	1	0.016667	0.633333	0.333333
[8.7,8.75[	8.725	1	0.016667	0.65	0.333333
[8.75,8.8[	8.775	0	0	0.65	0
[8.8,8.85[	8.825	0	0	0.65	0
[8.85,8.9[	8.875	1	0.016667	0.666667	0.333333
[8.9,8.95[	8.925	5	0.083333	0.75	1.666667
[8.95,9[	8.975	7	0.116667	0.866667	2.333333
[9,9.05[	9.025	5	0.083333	0.95	1.666667
[9.05,9.1]	9.075	3	0.05	1	1

\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 & 0.016667 & 0.016667 & 0.333333 \tabularnewline
[7.7,7.75[ & 7.725 & 1 & 0.016667 & 0.033333 & 0.333333 \tabularnewline
[7.75,7.8[ & 7.775 & 1 & 0.016667 & 0.05 & 0.333333 \tabularnewline
[7.8,7.85[ & 7.825 & 2 & 0.033333 & 0.083333 & 0.666667 \tabularnewline
[7.85,7.9[ & 7.875 & 0 & 0 & 0.083333 & 0 \tabularnewline
[7.9,7.95[ & 7.925 & 2 & 0.033333 & 0.116667 & 0.666667 \tabularnewline
[7.95,8[ & 7.975 & 2 & 0.033333 & 0.15 & 0.666667 \tabularnewline
[8,8.05[ & 8.025 & 5 & 0.083333 & 0.233333 & 1.666667 \tabularnewline
[8.05,8.1[ & 8.075 & 4 & 0.066667 & 0.3 & 1.333333 \tabularnewline
[8.1,8.15[ & 8.125 & 3 & 0.05 & 0.35 & 1 \tabularnewline
[8.15,8.2[ & 8.175 & 4 & 0.066667 & 0.416667 & 1.333333 \tabularnewline
[8.2,8.25[ & 8.225 & 1 & 0.016667 & 0.433333 & 0.333333 \tabularnewline
[8.25,8.3[ & 8.275 & 0 & 0 & 0.433333 & 0 \tabularnewline
[8.3,8.35[ & 8.325 & 5 & 0.083333 & 0.516667 & 1.666667 \tabularnewline
[8.35,8.4[ & 8.375 & 1 & 0.016667 & 0.533333 & 0.333333 \tabularnewline
[8.4,8.45[ & 8.425 & 1 & 0.016667 & 0.55 & 0.333333 \tabularnewline
[8.45,8.5[ & 8.475 & 0 & 0 & 0.55 & 0 \tabularnewline
[8.5,8.55[ & 8.525 & 1 & 0.016667 & 0.566667 & 0.333333 \tabularnewline
[8.55,8.6[ & 8.575 & 0 & 0 & 0.566667 & 0 \tabularnewline
[8.6,8.65[ & 8.625 & 3 & 0.05 & 0.616667 & 1 \tabularnewline
[8.65,8.7[ & 8.675 & 1 & 0.016667 & 0.633333 & 0.333333 \tabularnewline
[8.7,8.75[ & 8.725 & 1 & 0.016667 & 0.65 & 0.333333 \tabularnewline
[8.75,8.8[ & 8.775 & 0 & 0 & 0.65 & 0 \tabularnewline
[8.8,8.85[ & 8.825 & 0 & 0 & 0.65 & 0 \tabularnewline
[8.85,8.9[ & 8.875 & 1 & 0.016667 & 0.666667 & 0.333333 \tabularnewline
[8.9,8.95[ & 8.925 & 5 & 0.083333 & 0.75 & 1.666667 \tabularnewline
[8.95,9[ & 8.975 & 7 & 0.116667 & 0.866667 & 2.333333 \tabularnewline
[9,9.05[ & 9.025 & 5 & 0.083333 & 0.95 & 1.666667 \tabularnewline
[9.05,9.1] & 9.075 & 3 & 0.05 & 1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=162642&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]0.016667[/C][C]0.016667[/C][C]0.333333[/C][/ROW]
[ROW][C][7.7,7.75[[/C][C]7.725[/C][C]1[/C][C]0.016667[/C][C]0.033333[/C][C]0.333333[/C][/ROW]
[ROW][C][7.75,7.8[[/C][C]7.775[/C][C]1[/C][C]0.016667[/C][C]0.05[/C][C]0.333333[/C][/ROW]
[ROW][C][7.8,7.85[[/C][C]7.825[/C][C]2[/C][C]0.033333[/C][C]0.083333[/C][C]0.666667[/C][/ROW]
[ROW][C][7.85,7.9[[/C][C]7.875[/C][C]0[/C][C]0[/C][C]0.083333[/C][C]0[/C][/ROW]
[ROW][C][7.9,7.95[[/C][C]7.925[/C][C]2[/C][C]0.033333[/C][C]0.116667[/C][C]0.666667[/C][/ROW]
[ROW][C][7.95,8[[/C][C]7.975[/C][C]2[/C][C]0.033333[/C][C]0.15[/C][C]0.666667[/C][/ROW]
[ROW][C][8,8.05[[/C][C]8.025[/C][C]5[/C][C]0.083333[/C][C]0.233333[/C][C]1.666667[/C][/ROW]
[ROW][C][8.05,8.1[[/C][C]8.075[/C][C]4[/C][C]0.066667[/C][C]0.3[/C][C]1.333333[/C][/ROW]
[ROW][C][8.1,8.15[[/C][C]8.125[/C][C]3[/C][C]0.05[/C][C]0.35[/C][C]1[/C][/ROW]
[ROW][C][8.15,8.2[[/C][C]8.175[/C][C]4[/C][C]0.066667[/C][C]0.416667[/C][C]1.333333[/C][/ROW]
[ROW][C][8.2,8.25[[/C][C]8.225[/C][C]1[/C][C]0.016667[/C][C]0.433333[/C][C]0.333333[/C][/ROW]
[ROW][C][8.25,8.3[[/C][C]8.275[/C][C]0[/C][C]0[/C][C]0.433333[/C][C]0[/C][/ROW]
[ROW][C][8.3,8.35[[/C][C]8.325[/C][C]5[/C][C]0.083333[/C][C]0.516667[/C][C]1.666667[/C][/ROW]
[ROW][C][8.35,8.4[[/C][C]8.375[/C][C]1[/C][C]0.016667[/C][C]0.533333[/C][C]0.333333[/C][/ROW]
[ROW][C][8.4,8.45[[/C][C]8.425[/C][C]1[/C][C]0.016667[/C][C]0.55[/C][C]0.333333[/C][/ROW]
[ROW][C][8.45,8.5[[/C][C]8.475[/C][C]0[/C][C]0[/C][C]0.55[/C][C]0[/C][/ROW]
[ROW][C][8.5,8.55[[/C][C]8.525[/C][C]1[/C][C]0.016667[/C][C]0.566667[/C][C]0.333333[/C][/ROW]
[ROW][C][8.55,8.6[[/C][C]8.575[/C][C]0[/C][C]0[/C][C]0.566667[/C][C]0[/C][/ROW]
[ROW][C][8.6,8.65[[/C][C]8.625[/C][C]3[/C][C]0.05[/C][C]0.616667[/C][C]1[/C][/ROW]
[ROW][C][8.65,8.7[[/C][C]8.675[/C][C]1[/C][C]0.016667[/C][C]0.633333[/C][C]0.333333[/C][/ROW]
[ROW][C][8.7,8.75[[/C][C]8.725[/C][C]1[/C][C]0.016667[/C][C]0.65[/C][C]0.333333[/C][/ROW]
[ROW][C][8.75,8.8[[/C][C]8.775[/C][C]0[/C][C]0[/C][C]0.65[/C][C]0[/C][/ROW]
[ROW][C][8.8,8.85[[/C][C]8.825[/C][C]0[/C][C]0[/C][C]0.65[/C][C]0[/C][/ROW]
[ROW][C][8.85,8.9[[/C][C]8.875[/C][C]1[/C][C]0.016667[/C][C]0.666667[/C][C]0.333333[/C][/ROW]
[ROW][C][8.9,8.95[[/C][C]8.925[/C][C]5[/C][C]0.083333[/C][C]0.75[/C][C]1.666667[/C][/ROW]
[ROW][C][8.95,9[[/C][C]8.975[/C][C]7[/C][C]0.116667[/C][C]0.866667[/C][C]2.333333[/C][/ROW]
[ROW][C][9,9.05[[/C][C]9.025[/C][C]5[/C][C]0.083333[/C][C]0.95[/C][C]1.666667[/C][/ROW]
[ROW][C][9.05,9.1][/C][C]9.075[/C][C]3[/C][C]0.05[/C][C]1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=162642&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=162642&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	0.016667	0.016667	0.333333
[7.7,7.75[	7.725	1	0.016667	0.033333	0.333333
[7.75,7.8[	7.775	1	0.016667	0.05	0.333333
[7.8,7.85[	7.825	2	0.033333	0.083333	0.666667
[7.85,7.9[	7.875	0	0	0.083333	0
[7.9,7.95[	7.925	2	0.033333	0.116667	0.666667
[7.95,8[	7.975	2	0.033333	0.15	0.666667
[8,8.05[	8.025	5	0.083333	0.233333	1.666667
[8.05,8.1[	8.075	4	0.066667	0.3	1.333333
[8.1,8.15[	8.125	3	0.05	0.35	1
[8.15,8.2[	8.175	4	0.066667	0.416667	1.333333
[8.2,8.25[	8.225	1	0.016667	0.433333	0.333333
[8.25,8.3[	8.275	0	0	0.433333	0
[8.3,8.35[	8.325	5	0.083333	0.516667	1.666667
[8.35,8.4[	8.375	1	0.016667	0.533333	0.333333
[8.4,8.45[	8.425	1	0.016667	0.55	0.333333
[8.45,8.5[	8.475	0	0	0.55	0
[8.5,8.55[	8.525	1	0.016667	0.566667	0.333333
[8.55,8.6[	8.575	0	0	0.566667	0
[8.6,8.65[	8.625	3	0.05	0.616667	1
[8.65,8.7[	8.675	1	0.016667	0.633333	0.333333
[8.7,8.75[	8.725	1	0.016667	0.65	0.333333
[8.75,8.8[	8.775	0	0	0.65	0
[8.8,8.85[	8.825	0	0	0.65	0
[8.85,8.9[	8.875	1	0.016667	0.666667	0.333333
[8.9,8.95[	8.925	5	0.083333	0.75	1.666667
[8.95,9[	8.975	7	0.116667	0.866667	2.333333
[9,9.05[	9.025	5	0.083333	0.95	1.666667
[9.05,9.1]	9.075	3	0.05	1	1

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 30 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 30 ; 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