Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_histogram.wasp
Title produced by softwareHistogram
Date of computationTue, 28 Dec 2010 16:02:15 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/28/t1293552059liew1or1ru15cqv.htm/, Retrieved Sun, 05 May 2024 00:40:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116394, Retrieved Sun, 05 May 2024 00:40:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact92
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [paper, histogram ...] [2010-12-28 16:02:15] [39ab8462d2190635c809d7a35eacc961] [Current]
Feedback Forum

Post a new message
Dataseries X:
0
1
1
1
1
0
1
0
2
0
1
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
0
0
0
0
1
1
0
0
0
1
1
0
2
0
1
0
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
1
1
1
0
0
0
1
0
0
0
0
0
0
3
3
3
3
1
1
0
0
2
1
1
0
1
1
0
1
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
1
1
1
0
1
1
0
0
0
0
1
1
0
0
0
0
0
1
1
1
0
1
0
1
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
1
0
2
1
1
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
2
2
2
1
1
0
0
0
1
0
0
0
0
1
1
0
0
0
0
1
0
1
1
1
0
1
1
1
1
0
0
1
1
1
0
0
1
1
0
0
0
1
1
1
1
1
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
1
1
1
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
1
1
0
0
0
0
0
0
1
1
0
2
2
2
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
0
1
1
0
0
0
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
1
1
0
0
0
1
1
0
0
0
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
1
1
1
1
0
2
2
2
1
2
2
0
1
0
1
1
0
0
1
1
0
0
1
2
0
2
2
0
0
1
1
0
0
0
0
0
0
0
1
1
0
1
1
1
1
0
0
0
0
0
0
1
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
3
0
0
1
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
1
0
0
0
0
0
1
1
1
1
0
1
1
1
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
4
4
4
4
4
4
4
1
0
0
1
0
0
1
1
0
0
4
4
4
4
4
1
0
1
0
0
0
0
0
0
0
0
1
3
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
2
0
2
2
1
1
1
1
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
2
1
1
0
0
0
0
0
0
0
0
0
1
0
1
0
5
5
5
5
5
5
1
1
0
0
0
0
2
2
0
0
0
1
1
1
1
0
0
2
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
1
1
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
2
2
0
3
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
3
3
3
0
0
0
1
1
0
0
0
0
0
1
1
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
0
1
1
0
0
0
0
0
1
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
3
3
3
0
4
4
4
4
4
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
4
4
4
4
4
0
0
0
0
0
0
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
1
1
0
0
0
2
2
2
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
3
3
3
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
1
0
0
1
1
0
0
0
0
0
2
3
2
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
1
1
0
0
0
1
1
0
0
0




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116394&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116394&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116394&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[0,0.5[0.258910.6806720.6806721.361345
[0.5,1[0.75000.6806720
[1,1.5[1.253190.2436970.924370.487395
[1.5,2[1.75000.924370
[2,2.5[2.25420.0320860.9564550.064171
[2.5,3[2.75000.9564550
[3,3.5[3.25200.0152790.9717340.030558
[3.5,4[3.75000.9717340
[4,4.5[4.25220.0168070.9885410.033613
[4.5,5[4.75000.9885410
[5,5.5[5.2560.0045840.9931250.009167
[5.5,6[5.75000.9931250
[6,6.5[6.25000.9931250
[6.5,7[6.75000.9931250
[7,7.5[7.25000.9931250
[7.5,8]7.7590.00687510.013751

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[0,0.5[ & 0.25 & 891 & 0.680672 & 0.680672 & 1.361345 \tabularnewline
[0.5,1[ & 0.75 & 0 & 0 & 0.680672 & 0 \tabularnewline
[1,1.5[ & 1.25 & 319 & 0.243697 & 0.92437 & 0.487395 \tabularnewline
[1.5,2[ & 1.75 & 0 & 0 & 0.92437 & 0 \tabularnewline
[2,2.5[ & 2.25 & 42 & 0.032086 & 0.956455 & 0.064171 \tabularnewline
[2.5,3[ & 2.75 & 0 & 0 & 0.956455 & 0 \tabularnewline
[3,3.5[ & 3.25 & 20 & 0.015279 & 0.971734 & 0.030558 \tabularnewline
[3.5,4[ & 3.75 & 0 & 0 & 0.971734 & 0 \tabularnewline
[4,4.5[ & 4.25 & 22 & 0.016807 & 0.988541 & 0.033613 \tabularnewline
[4.5,5[ & 4.75 & 0 & 0 & 0.988541 & 0 \tabularnewline
[5,5.5[ & 5.25 & 6 & 0.004584 & 0.993125 & 0.009167 \tabularnewline
[5.5,6[ & 5.75 & 0 & 0 & 0.993125 & 0 \tabularnewline
[6,6.5[ & 6.25 & 0 & 0 & 0.993125 & 0 \tabularnewline
[6.5,7[ & 6.75 & 0 & 0 & 0.993125 & 0 \tabularnewline
[7,7.5[ & 7.25 & 0 & 0 & 0.993125 & 0 \tabularnewline
[7.5,8] & 7.75 & 9 & 0.006875 & 1 & 0.013751 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116394&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][0,0.5[[/C][C]0.25[/C][C]891[/C][C]0.680672[/C][C]0.680672[/C][C]1.361345[/C][/ROW]
[ROW][C][0.5,1[[/C][C]0.75[/C][C]0[/C][C]0[/C][C]0.680672[/C][C]0[/C][/ROW]
[ROW][C][1,1.5[[/C][C]1.25[/C][C]319[/C][C]0.243697[/C][C]0.92437[/C][C]0.487395[/C][/ROW]
[ROW][C][1.5,2[[/C][C]1.75[/C][C]0[/C][C]0[/C][C]0.92437[/C][C]0[/C][/ROW]
[ROW][C][2,2.5[[/C][C]2.25[/C][C]42[/C][C]0.032086[/C][C]0.956455[/C][C]0.064171[/C][/ROW]
[ROW][C][2.5,3[[/C][C]2.75[/C][C]0[/C][C]0[/C][C]0.956455[/C][C]0[/C][/ROW]
[ROW][C][3,3.5[[/C][C]3.25[/C][C]20[/C][C]0.015279[/C][C]0.971734[/C][C]0.030558[/C][/ROW]
[ROW][C][3.5,4[[/C][C]3.75[/C][C]0[/C][C]0[/C][C]0.971734[/C][C]0[/C][/ROW]
[ROW][C][4,4.5[[/C][C]4.25[/C][C]22[/C][C]0.016807[/C][C]0.988541[/C][C]0.033613[/C][/ROW]
[ROW][C][4.5,5[[/C][C]4.75[/C][C]0[/C][C]0[/C][C]0.988541[/C][C]0[/C][/ROW]
[ROW][C][5,5.5[[/C][C]5.25[/C][C]6[/C][C]0.004584[/C][C]0.993125[/C][C]0.009167[/C][/ROW]
[ROW][C][5.5,6[[/C][C]5.75[/C][C]0[/C][C]0[/C][C]0.993125[/C][C]0[/C][/ROW]
[ROW][C][6,6.5[[/C][C]6.25[/C][C]0[/C][C]0[/C][C]0.993125[/C][C]0[/C][/ROW]
[ROW][C][6.5,7[[/C][C]6.75[/C][C]0[/C][C]0[/C][C]0.993125[/C][C]0[/C][/ROW]
[ROW][C][7,7.5[[/C][C]7.25[/C][C]0[/C][C]0[/C][C]0.993125[/C][C]0[/C][/ROW]
[ROW][C][7.5,8][/C][C]7.75[/C][C]9[/C][C]0.006875[/C][C]1[/C][C]0.013751[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116394&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116394&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)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[0,0.5[0.258910.6806720.6806721.361345
[0.5,1[0.75000.6806720
[1,1.5[1.253190.2436970.924370.487395
[1.5,2[1.75000.924370
[2,2.5[2.25420.0320860.9564550.064171
[2.5,3[2.75000.9564550
[3,3.5[3.25200.0152790.9717340.030558
[3.5,4[3.75000.9717340
[4,4.5[4.25220.0168070.9885410.033613
[4.5,5[4.75000.9885410
[5,5.5[5.2560.0045840.9931250.009167
[5.5,6[5.75000.9931250
[6,6.5[6.25000.9931250
[6.5,7[6.75000.9931250
[7,7.5[7.25000.9931250
[7.5,8]7.7590.00687510.013751



Parameters (Session):
par2 = blue ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = ; par2 = blue ; 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')
}