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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_histogram.wasp
Title produced by softwareHistogram
Date of computationSun, 15 Feb 2009 05:11:13 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Feb/15/t1234699937gve5qzphpmb5qgz.htm/, Retrieved Sat, 11 May 2024 05:41:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=37487, Retrieved Sat, 11 May 2024 05:41:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact195

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [frequentietabel 1] [2009-02-15 11:59:49] [fe0c05b9f5b1d79346fcc37514fa9f10]
-   P     [Histogram] [frequentietabel 3] [2009-02-15 12:11:13] [2c8a5cc66f27790b8fc8930915f8068b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
14.620
16.005
16.683
15.487
15.684
15.962
12.000
13.769
14.031
16.078
15.827
13.149
15.969
16.628
16.670
16.487
16.883
16.201
12.168
14.010
16.556
17.404
16.435
13.123
16.744
17.410
16.484
17.103
17.301
17.301
12.843
13.748
16.904
17.342
15.476
15.424
15.988
19.244
18.715
17.780
17.160
17.349
11.171
13.438
16.713
18.369
17.067
14.055
15.500
18.475
19.423
18.686
19.646
19.733
12.605
16.616
19.156
21.348
20.049
18.020
20.262
21.789
20.603
21.928
21.025
19.346
11.786
19.082
20.127
20.217
20.385
16.653
13.065
20.275
21.776
20.260
22.523
23.033
14.133
20.110
19.682
22.197
17.212
11.784
15.467
17.002
15.952
18.767
20.605
19.809
14.233
19.311
20.827
23.388
20.181
14.344

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=37487&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=37487&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=37487&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[11,11.5[11.2510.0104170.0104170.020833
[11.5,12[11.7520.0208330.031250.041667
[12,12.5[12.2520.0208330.0520830.041667
[12.5,13[12.7520.0208330.0729170.041667
[13,13.5[13.2540.0416670.1145830.083333
[13.5,14[13.7520.0208330.1354170.041667
[14,14.5[14.2560.06250.1979170.125
[14.5,15[14.7510.0104170.2083330.020833
[15,15.5[15.2540.0416670.250.083333
[15.5,16[15.7570.0729170.3229170.145833
[16,16.5[16.2560.06250.3854170.125
[16.5,17[16.75100.1041670.4895830.208333
[17,17.5[17.25110.1145830.6041670.229167
[17.5,18[17.7510.0104170.6145830.020833
[18,18.5[18.2530.031250.6458330.0625
[18.5,19[18.7530.031250.6770830.0625
[19,19.5[19.2560.06250.7395830.125
[19.5,20[19.7540.0416670.781250.083333
[20,20.5[20.2590.093750.8750.1875
[20.5,21[20.7530.031250.906250.0625
[21,21.5[21.2520.0208330.9270830.041667
[21.5,22[21.7530.031250.9583330.0625
[22,22.5[22.2510.0104170.968750.020833
[22.5,23[22.7510.0104170.9791670.020833
[23,23.5]23.2520.02083310.041667

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[11,11.5[ & 11.25 & 1 & 0.010417 & 0.010417 & 0.020833 \tabularnewline
[11.5,12[ & 11.75 & 2 & 0.020833 & 0.03125 & 0.041667 \tabularnewline
[12,12.5[ & 12.25 & 2 & 0.020833 & 0.052083 & 0.041667 \tabularnewline
[12.5,13[ & 12.75 & 2 & 0.020833 & 0.072917 & 0.041667 \tabularnewline
[13,13.5[ & 13.25 & 4 & 0.041667 & 0.114583 & 0.083333 \tabularnewline
[13.5,14[ & 13.75 & 2 & 0.020833 & 0.135417 & 0.041667 \tabularnewline
[14,14.5[ & 14.25 & 6 & 0.0625 & 0.197917 & 0.125 \tabularnewline
[14.5,15[ & 14.75 & 1 & 0.010417 & 0.208333 & 0.020833 \tabularnewline
[15,15.5[ & 15.25 & 4 & 0.041667 & 0.25 & 0.083333 \tabularnewline
[15.5,16[ & 15.75 & 7 & 0.072917 & 0.322917 & 0.145833 \tabularnewline
[16,16.5[ & 16.25 & 6 & 0.0625 & 0.385417 & 0.125 \tabularnewline
[16.5,17[ & 16.75 & 10 & 0.104167 & 0.489583 & 0.208333 \tabularnewline
[17,17.5[ & 17.25 & 11 & 0.114583 & 0.604167 & 0.229167 \tabularnewline
[17.5,18[ & 17.75 & 1 & 0.010417 & 0.614583 & 0.020833 \tabularnewline
[18,18.5[ & 18.25 & 3 & 0.03125 & 0.645833 & 0.0625 \tabularnewline
[18.5,19[ & 18.75 & 3 & 0.03125 & 0.677083 & 0.0625 \tabularnewline
[19,19.5[ & 19.25 & 6 & 0.0625 & 0.739583 & 0.125 \tabularnewline
[19.5,20[ & 19.75 & 4 & 0.041667 & 0.78125 & 0.083333 \tabularnewline
[20,20.5[ & 20.25 & 9 & 0.09375 & 0.875 & 0.1875 \tabularnewline
[20.5,21[ & 20.75 & 3 & 0.03125 & 0.90625 & 0.0625 \tabularnewline
[21,21.5[ & 21.25 & 2 & 0.020833 & 0.927083 & 0.041667 \tabularnewline
[21.5,22[ & 21.75 & 3 & 0.03125 & 0.958333 & 0.0625 \tabularnewline
[22,22.5[ & 22.25 & 1 & 0.010417 & 0.96875 & 0.020833 \tabularnewline
[22.5,23[ & 22.75 & 1 & 0.010417 & 0.979167 & 0.020833 \tabularnewline
[23,23.5] & 23.25 & 2 & 0.020833 & 1 & 0.041667 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=37487&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][11,11.5[[/C][C]11.25[/C][C]1[/C][C]0.010417[/C][C]0.010417[/C][C]0.020833[/C][/ROW]
[ROW][C][11.5,12[[/C][C]11.75[/C][C]2[/C][C]0.020833[/C][C]0.03125[/C][C]0.041667[/C][/ROW]
[ROW][C][12,12.5[[/C][C]12.25[/C][C]2[/C][C]0.020833[/C][C]0.052083[/C][C]0.041667[/C][/ROW]
[ROW][C][12.5,13[[/C][C]12.75[/C][C]2[/C][C]0.020833[/C][C]0.072917[/C][C]0.041667[/C][/ROW]
[ROW][C][13,13.5[[/C][C]13.25[/C][C]4[/C][C]0.041667[/C][C]0.114583[/C][C]0.083333[/C][/ROW]
[ROW][C][13.5,14[[/C][C]13.75[/C][C]2[/C][C]0.020833[/C][C]0.135417[/C][C]0.041667[/C][/ROW]
[ROW][C][14,14.5[[/C][C]14.25[/C][C]6[/C][C]0.0625[/C][C]0.197917[/C][C]0.125[/C][/ROW]
[ROW][C][14.5,15[[/C][C]14.75[/C][C]1[/C][C]0.010417[/C][C]0.208333[/C][C]0.020833[/C][/ROW]
[ROW][C][15,15.5[[/C][C]15.25[/C][C]4[/C][C]0.041667[/C][C]0.25[/C][C]0.083333[/C][/ROW]
[ROW][C][15.5,16[[/C][C]15.75[/C][C]7[/C][C]0.072917[/C][C]0.322917[/C][C]0.145833[/C][/ROW]
[ROW][C][16,16.5[[/C][C]16.25[/C][C]6[/C][C]0.0625[/C][C]0.385417[/C][C]0.125[/C][/ROW]
[ROW][C][16.5,17[[/C][C]16.75[/C][C]10[/C][C]0.104167[/C][C]0.489583[/C][C]0.208333[/C][/ROW]
[ROW][C][17,17.5[[/C][C]17.25[/C][C]11[/C][C]0.114583[/C][C]0.604167[/C][C]0.229167[/C][/ROW]
[ROW][C][17.5,18[[/C][C]17.75[/C][C]1[/C][C]0.010417[/C][C]0.614583[/C][C]0.020833[/C][/ROW]
[ROW][C][18,18.5[[/C][C]18.25[/C][C]3[/C][C]0.03125[/C][C]0.645833[/C][C]0.0625[/C][/ROW]
[ROW][C][18.5,19[[/C][C]18.75[/C][C]3[/C][C]0.03125[/C][C]0.677083[/C][C]0.0625[/C][/ROW]
[ROW][C][19,19.5[[/C][C]19.25[/C][C]6[/C][C]0.0625[/C][C]0.739583[/C][C]0.125[/C][/ROW]
[ROW][C][19.5,20[[/C][C]19.75[/C][C]4[/C][C]0.041667[/C][C]0.78125[/C][C]0.083333[/C][/ROW]
[ROW][C][20,20.5[[/C][C]20.25[/C][C]9[/C][C]0.09375[/C][C]0.875[/C][C]0.1875[/C][/ROW]
[ROW][C][20.5,21[[/C][C]20.75[/C][C]3[/C][C]0.03125[/C][C]0.90625[/C][C]0.0625[/C][/ROW]
[ROW][C][21,21.5[[/C][C]21.25[/C][C]2[/C][C]0.020833[/C][C]0.927083[/C][C]0.041667[/C][/ROW]
[ROW][C][21.5,22[[/C][C]21.75[/C][C]3[/C][C]0.03125[/C][C]0.958333[/C][C]0.0625[/C][/ROW]
[ROW][C][22,22.5[[/C][C]22.25[/C][C]1[/C][C]0.010417[/C][C]0.96875[/C][C]0.020833[/C][/ROW]
[ROW][C][22.5,23[[/C][C]22.75[/C][C]1[/C][C]0.010417[/C][C]0.979167[/C][C]0.020833[/C][/ROW]
[ROW][C][23,23.5][/C][C]23.25[/C][C]2[/C][C]0.020833[/C][C]1[/C][C]0.041667[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=37487&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=37487&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
[11,11.5[11.2510.0104170.0104170.020833
[11.5,12[11.7520.0208330.031250.041667
[12,12.5[12.2520.0208330.0520830.041667
[12.5,13[12.7520.0208330.0729170.041667
[13,13.5[13.2540.0416670.1145830.083333
[13.5,14[13.7520.0208330.1354170.041667
[14,14.5[14.2560.06250.1979170.125
[14.5,15[14.7510.0104170.2083330.020833
[15,15.5[15.2540.0416670.250.083333
[15.5,16[15.7570.0729170.3229170.145833
[16,16.5[16.2560.06250.3854170.125
[16.5,17[16.75100.1041670.4895830.208333
[17,17.5[17.25110.1145830.6041670.229167
[17.5,18[17.7510.0104170.6145830.020833
[18,18.5[18.2530.031250.6458330.0625
[18.5,19[18.7530.031250.6770830.0625
[19,19.5[19.2560.06250.7395830.125
[19.5,20[19.7540.0416670.781250.083333
[20,20.5[20.2590.093750.8750.1875
[20.5,21[20.7530.031250.906250.0625
[21,21.5[21.2520.0208330.9270830.041667
[21.5,22[21.7530.031250.9583330.0625
[22,22.5[22.2510.0104170.968750.020833
[22.5,23[22.7510.0104170.9791670.020833
[23,23.5]23.2520.02083310.041667


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 20 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
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.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)
}
dev.off()
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')