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Author

*The author of this computation has been verified*

R Software Module

rwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Wed, 14 Dec 2016 14:37:44 +0100

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/2016/Dec/14/t1481722718r2lei1ty1xgpb1t.htm/, Retrieved Fri, 03 May 2024 18:30:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299424, Retrieved Fri, 03 May 2024 18:30:09 +0000

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Estimated Impact

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

-       [Histogram] [som gw] [2016-12-14 13:37:44] [8263efc94e08b372ab727a2b95bd56b1] [Current]

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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	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299424&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299424&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299424&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	Big Analytics Cloud Computing Center

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[8,8.5[	8.25	1	0.006024	0.006024	0.012048
[8.5,9[	8.75	0	0	0.006024	0
[9,9.5[	9.25	2	0.012048	0.018072	0.024096
[9.5,10[	9.75	0	0	0.018072	0
[10,10.5[	10.25	4	0.024096	0.042169	0.048193
[10.5,11[	10.75	0	0	0.042169	0
[11,11.5[	11.25	17	0.10241	0.144578	0.204819
[11.5,12[	11.75	0	0	0.144578	0
[12,12.5[	12.25	54	0.325301	0.46988	0.650602
[12.5,13[	12.75	0	0	0.46988	0
[13,13.5[	13.25	22	0.13253	0.60241	0.26506
[13.5,14[	13.75	0	0	0.60241	0
[14,14.5[	14.25	40	0.240964	0.843373	0.481928
[14.5,15[	14.75	0	0	0.843373	0
[15,15.5[	15.25	16	0.096386	0.939759	0.192771
[15.5,16[	15.75	0	0	0.939759	0
[16,16.5[	16.25	7	0.042169	0.981928	0.084337
[16.5,17]	16.75	3	0.018072	1	0.036145

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[8,8.5[ & 8.25 & 1 & 0.006024 & 0.006024 & 0.012048 \tabularnewline
[8.5,9[ & 8.75 & 0 & 0 & 0.006024 & 0 \tabularnewline
[9,9.5[ & 9.25 & 2 & 0.012048 & 0.018072 & 0.024096 \tabularnewline
[9.5,10[ & 9.75 & 0 & 0 & 0.018072 & 0 \tabularnewline
[10,10.5[ & 10.25 & 4 & 0.024096 & 0.042169 & 0.048193 \tabularnewline
[10.5,11[ & 10.75 & 0 & 0 & 0.042169 & 0 \tabularnewline
[11,11.5[ & 11.25 & 17 & 0.10241 & 0.144578 & 0.204819 \tabularnewline
[11.5,12[ & 11.75 & 0 & 0 & 0.144578 & 0 \tabularnewline
[12,12.5[ & 12.25 & 54 & 0.325301 & 0.46988 & 0.650602 \tabularnewline
[12.5,13[ & 12.75 & 0 & 0 & 0.46988 & 0 \tabularnewline
[13,13.5[ & 13.25 & 22 & 0.13253 & 0.60241 & 0.26506 \tabularnewline
[13.5,14[ & 13.75 & 0 & 0 & 0.60241 & 0 \tabularnewline
[14,14.5[ & 14.25 & 40 & 0.240964 & 0.843373 & 0.481928 \tabularnewline
[14.5,15[ & 14.75 & 0 & 0 & 0.843373 & 0 \tabularnewline
[15,15.5[ & 15.25 & 16 & 0.096386 & 0.939759 & 0.192771 \tabularnewline
[15.5,16[ & 15.75 & 0 & 0 & 0.939759 & 0 \tabularnewline
[16,16.5[ & 16.25 & 7 & 0.042169 & 0.981928 & 0.084337 \tabularnewline
[16.5,17] & 16.75 & 3 & 0.018072 & 1 & 0.036145 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299424&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][8,8.5[[/C][C]8.25[/C][C]1[/C][C]0.006024[/C][C]0.006024[/C][C]0.012048[/C][/ROW]
[ROW][C][8.5,9[[/C][C]8.75[/C][C]0[/C][C]0[/C][C]0.006024[/C][C]0[/C][/ROW]
[ROW][C][9,9.5[[/C][C]9.25[/C][C]2[/C][C]0.012048[/C][C]0.018072[/C][C]0.024096[/C][/ROW]
[ROW][C][9.5,10[[/C][C]9.75[/C][C]0[/C][C]0[/C][C]0.018072[/C][C]0[/C][/ROW]
[ROW][C][10,10.5[[/C][C]10.25[/C][C]4[/C][C]0.024096[/C][C]0.042169[/C][C]0.048193[/C][/ROW]
[ROW][C][10.5,11[[/C][C]10.75[/C][C]0[/C][C]0[/C][C]0.042169[/C][C]0[/C][/ROW]
[ROW][C][11,11.5[[/C][C]11.25[/C][C]17[/C][C]0.10241[/C][C]0.144578[/C][C]0.204819[/C][/ROW]
[ROW][C][11.5,12[[/C][C]11.75[/C][C]0[/C][C]0[/C][C]0.144578[/C][C]0[/C][/ROW]
[ROW][C][12,12.5[[/C][C]12.25[/C][C]54[/C][C]0.325301[/C][C]0.46988[/C][C]0.650602[/C][/ROW]
[ROW][C][12.5,13[[/C][C]12.75[/C][C]0[/C][C]0[/C][C]0.46988[/C][C]0[/C][/ROW]
[ROW][C][13,13.5[[/C][C]13.25[/C][C]22[/C][C]0.13253[/C][C]0.60241[/C][C]0.26506[/C][/ROW]
[ROW][C][13.5,14[[/C][C]13.75[/C][C]0[/C][C]0[/C][C]0.60241[/C][C]0[/C][/ROW]
[ROW][C][14,14.5[[/C][C]14.25[/C][C]40[/C][C]0.240964[/C][C]0.843373[/C][C]0.481928[/C][/ROW]
[ROW][C][14.5,15[[/C][C]14.75[/C][C]0[/C][C]0[/C][C]0.843373[/C][C]0[/C][/ROW]
[ROW][C][15,15.5[[/C][C]15.25[/C][C]16[/C][C]0.096386[/C][C]0.939759[/C][C]0.192771[/C][/ROW]
[ROW][C][15.5,16[[/C][C]15.75[/C][C]0[/C][C]0[/C][C]0.939759[/C][C]0[/C][/ROW]
[ROW][C][16,16.5[[/C][C]16.25[/C][C]7[/C][C]0.042169[/C][C]0.981928[/C][C]0.084337[/C][/ROW]
[ROW][C][16.5,17][/C][C]16.75[/C][C]3[/C][C]0.018072[/C][C]1[/C][C]0.036145[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299424&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299424&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
[8,8.5[	8.25	1	0.006024	0.006024	0.012048
[8.5,9[	8.75	0	0	0.006024	0
[9,9.5[	9.25	2	0.012048	0.018072	0.024096
[9.5,10[	9.75	0	0	0.018072	0
[10,10.5[	10.25	4	0.024096	0.042169	0.048193
[10.5,11[	10.75	0	0	0.042169	0
[11,11.5[	11.25	17	0.10241	0.144578	0.204819
[11.5,12[	11.75	0	0	0.144578	0
[12,12.5[	12.25	54	0.325301	0.46988	0.650602
[12.5,13[	12.75	0	0	0.46988	0
[13,13.5[	13.25	22	0.13253	0.60241	0.26506
[13.5,14[	13.75	0	0	0.60241	0
[14,14.5[	14.25	40	0.240964	0.843373	0.481928
[14.5,15[	14.75	0	0	0.843373	0
[15,15.5[	15.25	16	0.096386	0.939759	0.192771
[15.5,16[	15.75	0	0	0.939759	0
[16,16.5[	16.25	7	0.042169	0.981928	0.084337
[16.5,17]	16.75	3	0.018072	1	0.036145

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

par1 = 20 ; 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 {
barplot(mytab <- sort(table(x),T),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,'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