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Author's title

Author

*The author of this computation has been verified*

R Software Module

Ian.Hollidayrwasp_CARE Data Boxplot.wasp

Title produced by software

Boxplot and Trimmed Means

Date of computation

Thu, 05 Nov 2009 14:25:36 +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/2009/Nov/05/t12574276199m228tm4wijjlau.htm/, Retrieved Sat, 21 Jun 2025 09:22:32 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54058, Retrieved Sat, 21 Jun 2025 09:22:32 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

222

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

-     [Aston University Statistical Software] [Reddy_Moores Wilc...] [2009-11-02 09:28:43] [98fd0e87c3eb04e0cc2efde01dbafab6]
- RMP     [Boxplot and Trimmed Means] [] [2009-11-05 13:25:36] [15d9ddea2d3b43af684dd81ebdd4c9a9] [Current]

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Dataseries X:

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Histogram

Boxplots

70.80	66.67
69.60	66.33
69.87	64.33
67.47	64.00
67.60	63.33
67.13	61.33
66.27	64.67
66.73	63.00
68.07	60.67
67.80	63.67
64.80	60.67
64.60	61.67
64.20	62.33
64.20	60.33
63.67	59.67
61.00	60.33
59.67	59.33
59.67	58.67
59.80	58.67
60.73	59.33
59.40	57.33
58.07	59.33
57.47	56.00
70.73	53.67
72.87	58.67
66.00	49.33
66.07	71.33
66.00	70.33
66.27	69.00
64.00	66.00
63.67	66.00
63.73	63.33
63.33	65.33
63.53	64.33
63.53	64.00
62.87	61.67
59.53	63.67
62.80	64.67
60.80	61.67
59.80	62.00
56.67	61.33
57.67	63.67
58.40	61.33
55.47	62.33
56.20	59.67
71.53	59.33
68.67	61.67
65.67	58.67
66.73	58.00
67.33	56.67
66.73	59.67
66.87	58.00
65.80	57.00
64.73	57.67
65.47	58.67
63.60	55.33
64.07	56.00
64.67	55.67
63.73	53.33
62.53	53.67
61.93	51.00
62.67	47.00
62.80	4.33
61.33	70.00
62.60	68.67
59.13	67.67
61.27	66.00
59.47	65.67
57.87	65.67
59.73	63.67
61.40	63.67
58.80	64.00
58.33	62.00
57.47	62.00
57.13	61.67
55.00	61.67
51.53	63.33
72.73	61.00
73.00	62.33
70.80	60.33
70.07	60.33
71.67	60.67
71.07	57.67
70.67	58.33
70.73	58.00
70.73	57.33
68.60	56.67
69.60	58.00
66.47	55.33
67.07	55.67
68.67	54.67
66.93	56.33
65.93	55.00
68.87	55.00
66.53	54.67
65.80	54.33
66.60	49.00
66.00	48.33
65.00	49.67
66.80	43.67
65.60	6.33
66.00	3.00
65.67	66.67
64.67	67.33
65.07	65.33
64.67	66.00
65.07	65.67
65.20	66.67
64.87	65.67
63.47	65.00
62.60	64.67
64.07	66.67
63.73	63.67
64.67	63.33
61.60	63.67
61.60	63.33
60.47	63.67
61.27	63.00
63.00	61.67
61.47	61.33
60.87	60.67
61.67	60.00
62.87	61.67
62.40	61.33
59.73	58.67
60.13	60.33
58.80	59.67
59.60	59.33
58.93	59.67
60.13	61.00
58.20	61.00
58.27	60.00
58.27	60.00
55.07	58.67
53.87	58.33
52.33	58.00
47.20	56.33
37.93	54.67
72.73	55.33
70.07	54.00
70.67	52.67
72.07	44.00
68.80	65.67
68.80	65.00
67.47	66.33
66.73	64.00
66.53	62.33
66.00	61.33
67.60	63.00
66.00	63.67
66.00	62.00
66.53	61.33
65.80	64.67
64.27	62.67
64.67	64.00
64.60	61.00
64.13	60.67
65.47	59.67
62.93	60.33
63.53	56.67
62.13	56.67
63.87	54.33
64.67	51.00
63.33	51.00
63.13	47.00
62.80	68.00
62.40	65.00
62.40	64.00
62.60	64.00
61.47	64.00
62.20	62.00
63.00	61.00
61.80	60.00
59.73	60.00
60.33	62.00
60.13	60.00
59.53	59.00
59.00	61.00
55.93	60.00
41.87	60.00
36.33	58.00
71.67	58.00
71.47	60.00
70.47	58.00
69.53	59.00
70.73	56.00
69.93	54.00
68.73	51.00
67.53	47.00

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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54058&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54058&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54058&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
pment	52.33	60.8	64.07	66.73	73
nopment	49	57.67	60.67	63.67	71.33

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
pment & 52.33 & 60.8 & 64.07 & 66.73 & 73 \tabularnewline
nopment & 49 & 57.67 & 60.67 & 63.67 & 71.33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54058&T=1

[TABLE]
[ROW][C]Boxplot statistics[/C][/ROW]
[ROW][C]Variable[/C][C]lower whisker[/C][C]lower hinge[/C][C]median[/C][C]upper hinge[/C][C]upper whisker[/C][/ROW]
[ROW][C]pment[/C][C]52.33[/C][C]60.8[/C][C]64.07[/C][C]66.73[/C][C]73[/C][/ROW]
[ROW][C]nopment[/C][C]49[/C][C]57.67[/C][C]60.67[/C][C]63.67[/C][C]71.33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54058&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54058&T=1

As an alternative you can also use a QR Code:

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

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
pment	52.33	60.8	64.07	66.73	73
nopment	49	57.67	60.67	63.67	71.33

Boxplot Notches
Variable	lower bound	median	upper bound
pment	63.39	64.07	64.75
nopment	59.98	60.67	61.36

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
pment & 63.39 & 64.07 & 64.75 \tabularnewline
nopment & 59.98 & 60.67 & 61.36 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54058&T=2

[TABLE]
[ROW][C]Boxplot Notches[/C][/ROW]
[ROW][C]Variable[/C][C]lower bound[/C][C]median[/C][C]upper bound[/C][/ROW]
[ROW][C]pment[/C][C]63.39[/C][C]64.07[/C][C]64.75[/C][/ROW]
[ROW][C]nopment[/C][C]59.98[/C][C]60.67[/C][C]61.36[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54058&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54058&T=2

As an alternative you can also use a QR Code:

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

Boxplot Notches
Variable	lower bound	median	upper bound
pment	63.39	64.07	64.75
nopment	59.98	60.67	61.36

Boxplot Means
Variable	trimmed mean	unbiased SD
pment	63.58	5.51
nopment	59.3	8.52

\begin{tabular}{lllllllll}
\hline
Boxplot Means \tabularnewline
Variable & trimmed mean & unbiased SD \tabularnewline
pment & 63.58 & 5.51 \tabularnewline
nopment & 59.3 & 8.52 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54058&T=3

[TABLE]
[ROW][C]Boxplot Means[/C][/ROW]
[ROW][C]Variable[/C][C]trimmed mean[/C][C]unbiased SD[/C][/ROW]
[ROW][C]pment[/C][C]63.58[/C][C]5.51[/C][/ROW]
[ROW][C]nopment[/C][C]59.3[/C][C]8.52[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54058&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54058&T=3

As an alternative you can also use a QR Code:

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

Boxplot Means
Variable	trimmed mean	unbiased SD
pment	63.58	5.51
nopment	59.3	8.52

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 3 ; par2 = TRUE ; par3 = 0 ;

Parameters (R input):

par1 = 3 ; par2 = TRUE ; par3 = 0 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1) #colour
par2<- as.logical(par2) # Notches ?
par3<-as.numeric(par3) # % trim
if(par3>45){par3<-45;warning('trim limited to 45%')}
if(par3<0){par3<-0;warning('negative trim makes no sense. Trim is zero.')}
lotrm<-as.integer(length(y[1,])*par3/100)+1
hitrm<-as.integer(length(y[1,])*(100-par3)/100)
y1<-array(dim=c(dim(y)[1], hitrm-lotrm+1), dimnames=list(dimnames(y)[[1]], 1:(hitrm-lotrm+1) ))
for(i in 1:dim(y)[1]){
tmp<-order(y[i,])
y1[i,]<- y[i, tmp[lotrm:hitrm] ]
}
bitmap(file='test2.png')
pairs(t(y))
dev.off()
y<-y1
z <- as.data.frame(t(y))
bitmap(file='test1.png')
(r<-boxplot(z ,xlab=xlab,ylab=ylab,main=main,notch=par2,col=par1))
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('overview.htm','Boxplot statistics','Boxplot overview'),6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',1,TRUE)
a<-table.element(a,hyperlink('lower_whisker.htm','lower whisker','definition of lower whisker'),1,TRUE)
a<-table.element(a,hyperlink('lower_hinge.htm','lower hinge','definition of lower hinge'),1,TRUE)
a<-table.element(a,hyperlink('central_tendency.htm','median','definitions about measures of central tendency'),1,TRUE)
a<-table.element(a,hyperlink('upper_hinge.htm','upper hinge','definition of upper hinge'),1,TRUE)
a<-table.element(a,hyperlink('upper_whisker.htm','upper whisker','definition of upper whisker'),1,TRUE)
a<-table.row.end(a)
for (i in 1:length(y[,1]))
{
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],1,TRUE)
for (j in 1:5)
{
a<-table.element(a,round(r$stats[j,i], digits=2))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
if (par2){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Boxplot Notches',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',1,TRUE)
a<-table.element(a,'lower bound',1,TRUE)
a<-table.element(a,'median',1,TRUE)
a<-table.element(a,'upper bound',1,TRUE)
a<-table.row.end(a)
for (i in 1:length(y[,1]))
{
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],1,TRUE)
a<-table.element(a,round(r$conf[1,i], digits=2))
a<-table.element(a, round(r$stats[3,i], digits=2))
a<-table.element(a,round(r$conf[2,i], digits=2))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Boxplot Means',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',1,TRUE)
a<-table.element(a,hyperlink('trimmed_mean.htm','trimmed mean','definition of trimmed mean'),1,TRUE)
a<-table.element(a,hyperlink('unbiased1.htm','unbiased SD','definition of unbiased SD'),1,TRUE)
a<-table.row.end(a)
for (i in 1:length(y[,1]))
{
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],1,TRUE)
a<-table.element(a,round(mean(z[i], trim=par3/100, na.rm=TRUE), digits=2))
a<-table.element(a,round(sd(z[i], na.rm=TRUE), digits=2))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code