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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_histogram.wasp
Title produced by softwareHistogram
Date of computationSun, 14 Dec 2014 18:01:59 +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/2014/Dec/14/t1418580136u65o1mskobur2qr.htm/, Retrieved Thu, 16 May 2024 19:05:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267787, Retrieved Thu, 16 May 2024 19:05:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact63

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Histogram] [Frequency Plot (C...] [2010-09-25 09:09:15] [b98453cac15ba1066b407e146608df68]
- RM D  [Histogram] [Frequency plot (O...] [2014-09-30 13:45:22] [fa1b8827d7de91b8b87087311d3d9fa1]
- R PD      [Histogram] [] [2014-12-14 18:01:59] [2b74e5be20a95dee0bfccc444f4c1798] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4
4
5
4
4
9
8
11
4
4
6
4
8
4
4
11
4
4
6
6
4
8
5
4
9
4
7
10
4
4
7
12
7
5
8
5
4
9
7
4
4
4
4
4
7
4
7
4
4
4
4
8
4
4
4
4
7
12
4
4
4
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15
5
10
9
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4
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4
9
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10
4
4
6
7
5
4
4
4
4
4
4
6
10
7
4
4
7
4
8
11
6
14
5
4
8
9
4
4
5
4
5
4
4
7
10
4
5
4
4
4
6
4
8
5
4
17
4
4
8
4
7
4
4
5
7
4
4
7
11
7
4
4
4
4
4
4
6
8
23
4
8
6
4
7
4
4
4
10
6
5
5
4
4
5
5
5
5
4
6
4
4
4
9
18
6
5
4
11
4
10
6
8
8
6
8
4
4
9
9
5
4
4
15
10
9
7
9
6
4
7
4
7
4
15
4
9
4
4
28
4
4
4
5
4
4
12
4
6
6
5
4
4
4
10
7
4
7
4
4
12
5
8
6
17
4
5
4
5
5
6
4
4
4
6
8
10
4
5
4
4
4
16
7
4
4
14
5
5
5
5
7
19
16
4
4
7
9
5
14
4
16
10
5
6
4
4
4
5
4
4
5
4
4
5
8
15
7
5
8
8
5
4
4
11
5
22
4
4
4
5
4
16
5
6
5
4
4
4
7
4
8
7
6
5
8
8
4
7
4
13
4
4
4
4
7
5
4
5
12
8
4
4
8
5
4
4
7
5
13
4
4
4
6
4
4
4
4
4
5
6
4
4
4
6
9
5
6
13
4
7
5
4
4
4
6
6
8
6
5
9
6
4
9
4
4
4
5
4
4
4
5
5
8
4
4
9
4
4
4
4
4
4
4
4
4
4
4
4
4
5
8
7
4
4
4
5
5
6
12
5
9
12
4
16
4
5
4
4
6
4
4
5
6
5
6
4
4
7
9
5
5
4
4
12
4
6
9
4
5
4
4
4
4
4
11
4
6
4
5
4
4
4
7
9
5
14
4
4
4
5
4
4
9
4
4
10
4
4
6
4
9
5
4
5
14
9
4
4
17
4
5
9
7
4
5
7
10
5
4
8
4
4
6
5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 0 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267787&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267787&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267787&T=0

As an alternative you can also use a QR Code:  
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 time0 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[4,5[4.52300.4722790.4722790.472279
[5,6[5.5750.1540040.6262830.154004
[6,7[6.5390.0800820.7063660.080082
[7,8[7.5360.0739220.7802870.073922
[8,9[8.5290.0595480.8398360.059548
[9,10[9.5250.0513350.891170.051335
[10,11[10.5130.0266940.9178640.026694
[11,12[11.570.0143740.9322380.014374
[12,13[12.580.0164270.9486650.016427
[13,14[13.530.006160.9548250.00616
[14,15[14.550.0102670.9650920.010267
[15,16[15.540.0082140.9733060.008214
[16,17[16.550.0102670.9835730.010267
[17,18[17.530.006160.9897330.00616
[18,19[18.510.0020530.9917860.002053
[19,20[19.510.0020530.993840.002053
[20,21[20.5000.993840
[21,22[21.5000.993840
[22,23[22.510.0020530.9958930.002053
[23,24[23.510.0020530.9979470.002053
[24,25[24.5000.9979470
[25,26[25.5000.9979470
[26,27[26.5000.9979470
[27,28]27.510.00205310.002053

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[4,5[ & 4.5 & 230 & 0.472279 & 0.472279 & 0.472279 \tabularnewline
[5,6[ & 5.5 & 75 & 0.154004 & 0.626283 & 0.154004 \tabularnewline
[6,7[ & 6.5 & 39 & 0.080082 & 0.706366 & 0.080082 \tabularnewline
[7,8[ & 7.5 & 36 & 0.073922 & 0.780287 & 0.073922 \tabularnewline
[8,9[ & 8.5 & 29 & 0.059548 & 0.839836 & 0.059548 \tabularnewline
[9,10[ & 9.5 & 25 & 0.051335 & 0.89117 & 0.051335 \tabularnewline
[10,11[ & 10.5 & 13 & 0.026694 & 0.917864 & 0.026694 \tabularnewline
[11,12[ & 11.5 & 7 & 0.014374 & 0.932238 & 0.014374 \tabularnewline
[12,13[ & 12.5 & 8 & 0.016427 & 0.948665 & 0.016427 \tabularnewline
[13,14[ & 13.5 & 3 & 0.00616 & 0.954825 & 0.00616 \tabularnewline
[14,15[ & 14.5 & 5 & 0.010267 & 0.965092 & 0.010267 \tabularnewline
[15,16[ & 15.5 & 4 & 0.008214 & 0.973306 & 0.008214 \tabularnewline
[16,17[ & 16.5 & 5 & 0.010267 & 0.983573 & 0.010267 \tabularnewline
[17,18[ & 17.5 & 3 & 0.00616 & 0.989733 & 0.00616 \tabularnewline
[18,19[ & 18.5 & 1 & 0.002053 & 0.991786 & 0.002053 \tabularnewline
[19,20[ & 19.5 & 1 & 0.002053 & 0.99384 & 0.002053 \tabularnewline
[20,21[ & 20.5 & 0 & 0 & 0.99384 & 0 \tabularnewline
[21,22[ & 21.5 & 0 & 0 & 0.99384 & 0 \tabularnewline
[22,23[ & 22.5 & 1 & 0.002053 & 0.995893 & 0.002053 \tabularnewline
[23,24[ & 23.5 & 1 & 0.002053 & 0.997947 & 0.002053 \tabularnewline
[24,25[ & 24.5 & 0 & 0 & 0.997947 & 0 \tabularnewline
[25,26[ & 25.5 & 0 & 0 & 0.997947 & 0 \tabularnewline
[26,27[ & 26.5 & 0 & 0 & 0.997947 & 0 \tabularnewline
[27,28] & 27.5 & 1 & 0.002053 & 1 & 0.002053 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267787&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][4,5[[/C][C]4.5[/C][C]230[/C][C]0.472279[/C][C]0.472279[/C][C]0.472279[/C][/ROW]
[ROW][C][5,6[[/C][C]5.5[/C][C]75[/C][C]0.154004[/C][C]0.626283[/C][C]0.154004[/C][/ROW]
[ROW][C][6,7[[/C][C]6.5[/C][C]39[/C][C]0.080082[/C][C]0.706366[/C][C]0.080082[/C][/ROW]
[ROW][C][7,8[[/C][C]7.5[/C][C]36[/C][C]0.073922[/C][C]0.780287[/C][C]0.073922[/C][/ROW]
[ROW][C][8,9[[/C][C]8.5[/C][C]29[/C][C]0.059548[/C][C]0.839836[/C][C]0.059548[/C][/ROW]
[ROW][C][9,10[[/C][C]9.5[/C][C]25[/C][C]0.051335[/C][C]0.89117[/C][C]0.051335[/C][/ROW]
[ROW][C][10,11[[/C][C]10.5[/C][C]13[/C][C]0.026694[/C][C]0.917864[/C][C]0.026694[/C][/ROW]
[ROW][C][11,12[[/C][C]11.5[/C][C]7[/C][C]0.014374[/C][C]0.932238[/C][C]0.014374[/C][/ROW]
[ROW][C][12,13[[/C][C]12.5[/C][C]8[/C][C]0.016427[/C][C]0.948665[/C][C]0.016427[/C][/ROW]
[ROW][C][13,14[[/C][C]13.5[/C][C]3[/C][C]0.00616[/C][C]0.954825[/C][C]0.00616[/C][/ROW]
[ROW][C][14,15[[/C][C]14.5[/C][C]5[/C][C]0.010267[/C][C]0.965092[/C][C]0.010267[/C][/ROW]
[ROW][C][15,16[[/C][C]15.5[/C][C]4[/C][C]0.008214[/C][C]0.973306[/C][C]0.008214[/C][/ROW]
[ROW][C][16,17[[/C][C]16.5[/C][C]5[/C][C]0.010267[/C][C]0.983573[/C][C]0.010267[/C][/ROW]
[ROW][C][17,18[[/C][C]17.5[/C][C]3[/C][C]0.00616[/C][C]0.989733[/C][C]0.00616[/C][/ROW]
[ROW][C][18,19[[/C][C]18.5[/C][C]1[/C][C]0.002053[/C][C]0.991786[/C][C]0.002053[/C][/ROW]
[ROW][C][19,20[[/C][C]19.5[/C][C]1[/C][C]0.002053[/C][C]0.99384[/C][C]0.002053[/C][/ROW]
[ROW][C][20,21[[/C][C]20.5[/C][C]0[/C][C]0[/C][C]0.99384[/C][C]0[/C][/ROW]
[ROW][C][21,22[[/C][C]21.5[/C][C]0[/C][C]0[/C][C]0.99384[/C][C]0[/C][/ROW]
[ROW][C][22,23[[/C][C]22.5[/C][C]1[/C][C]0.002053[/C][C]0.995893[/C][C]0.002053[/C][/ROW]
[ROW][C][23,24[[/C][C]23.5[/C][C]1[/C][C]0.002053[/C][C]0.997947[/C][C]0.002053[/C][/ROW]
[ROW][C][24,25[[/C][C]24.5[/C][C]0[/C][C]0[/C][C]0.997947[/C][C]0[/C][/ROW]
[ROW][C][25,26[[/C][C]25.5[/C][C]0[/C][C]0[/C][C]0.997947[/C][C]0[/C][/ROW]
[ROW][C][26,27[[/C][C]26.5[/C][C]0[/C][C]0[/C][C]0.997947[/C][C]0[/C][/ROW]
[ROW][C][27,28][/C][C]27.5[/C][C]1[/C][C]0.002053[/C][C]1[/C][C]0.002053[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267787&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267787&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[4,5[4.52300.4722790.4722790.472279
[5,6[5.5750.1540040.6262830.154004
[6,7[6.5390.0800820.7063660.080082
[7,8[7.5360.0739220.7802870.073922
[8,9[8.5290.0595480.8398360.059548
[9,10[9.5250.0513350.891170.051335
[10,11[10.5130.0266940.9178640.026694
[11,12[11.570.0143740.9322380.014374
[12,13[12.580.0164270.9486650.016427
[13,14[13.530.006160.9548250.00616
[14,15[14.550.0102670.9650920.010267
[15,16[15.540.0082140.9733060.008214
[16,17[16.550.0102670.9835730.010267
[17,18[17.530.006160.9897330.00616
[18,19[18.510.0020530.9917860.002053
[19,20[19.510.0020530.993840.002053
[20,21[20.5000.993840
[21,22[21.5000.993840
[22,23[22.510.0020530.9958930.002053
[23,24[23.510.0020530.9979470.002053
[24,25[24.5000.9979470
[25,26[25.5000.9979470
[26,27[26.5000.9979470
[27,28]27.510.00205310.002053


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 90 ; par3 = 1e-08 ;
Parameters (R input):
par1 = 32 ; par2 = red ; par3 = FALSE ; par4 = Unknown ;
R code (references can be found in the software module):
par4 <- 'Unknown'
par3 <- 'FALSE'
par2 <- 'red'
par1 <- '35'
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')
}