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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 computationThu, 01 Oct 2015 11:49:50 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Oct/01/t1443696667liqdleutstdvvfa.htm/, Retrieved Wed, 15 May 2024 09:10:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280804, Retrieved Wed, 15 May 2024 09:10:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact114

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [] [2015-10-01 10:49:50] [e897088c3d9e15a1e92009c0481cb133] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
220
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21
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40
12
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25
26
18
25
22
15
25
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25
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22
20
20
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12
9
15
12
15
25
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15
30
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22
22
50
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15
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18
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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'Gertrude Mary Cox' @ cox.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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280804&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280804&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280804&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'Gertrude Mary Cox' @ cox.wessa.net






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[5,10[7.580.0088890.0088890.001778
[10,15[12.5430.0477780.0566670.009556
[15,20[17.51090.1211110.1777780.024222
[20,25[22.52990.3322220.510.066444
[25,30[27.53020.3355560.8455560.067111
[30,35[32.5800.0888890.9344440.017778
[35,40[37.5210.0233330.9577780.004667
[40,45[42.5200.0222220.980.004444
[45,50[47.5000.980
[50,55[52.5160.0177780.9977780.003556
[55,60[57.5000.9977780
[60,65[62.5000.9977780
[65,70[67.510.0011110.9988890.000222
[70,75[72.5000.9988890
[75,80[77.5000.9988890
[80,85[82.5000.9988890
[85,90[87.5000.9988890
[90,95[92.5000.9988890
[95,100[97.5000.9988890
[100,105[102.5000.9988890
[105,110[107.5000.9988890
[110,115[112.5000.9988890
[115,120[117.5000.9988890
[120,125[122.5000.9988890
[125,130[127.5000.9988890
[130,135[132.5000.9988890
[135,140[137.5000.9988890
[140,145[142.5000.9988890
[145,150[147.5000.9988890
[150,155[152.5000.9988890
[155,160[157.5000.9988890
[160,165[162.5000.9988890
[165,170[167.5000.9988890
[170,175[172.5000.9988890
[175,180[177.5000.9988890
[180,185[182.5000.9988890
[185,190[187.5000.9988890
[190,195[192.5000.9988890
[195,200[197.5000.9988890
[200,205[202.5000.9988890
[205,210[207.5000.9988890
[210,215[212.5000.9988890
[215,220]217.510.00111110.000222

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[5,10[ & 7.5 & 8 & 0.008889 & 0.008889 & 0.001778 \tabularnewline
[10,15[ & 12.5 & 43 & 0.047778 & 0.056667 & 0.009556 \tabularnewline
[15,20[ & 17.5 & 109 & 0.121111 & 0.177778 & 0.024222 \tabularnewline
[20,25[ & 22.5 & 299 & 0.332222 & 0.51 & 0.066444 \tabularnewline
[25,30[ & 27.5 & 302 & 0.335556 & 0.845556 & 0.067111 \tabularnewline
[30,35[ & 32.5 & 80 & 0.088889 & 0.934444 & 0.017778 \tabularnewline
[35,40[ & 37.5 & 21 & 0.023333 & 0.957778 & 0.004667 \tabularnewline
[40,45[ & 42.5 & 20 & 0.022222 & 0.98 & 0.004444 \tabularnewline
[45,50[ & 47.5 & 0 & 0 & 0.98 & 0 \tabularnewline
[50,55[ & 52.5 & 16 & 0.017778 & 0.997778 & 0.003556 \tabularnewline
[55,60[ & 57.5 & 0 & 0 & 0.997778 & 0 \tabularnewline
[60,65[ & 62.5 & 0 & 0 & 0.997778 & 0 \tabularnewline
[65,70[ & 67.5 & 1 & 0.001111 & 0.998889 & 0.000222 \tabularnewline
[70,75[ & 72.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[75,80[ & 77.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[80,85[ & 82.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[85,90[ & 87.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[90,95[ & 92.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[95,100[ & 97.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[100,105[ & 102.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[105,110[ & 107.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[110,115[ & 112.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[115,120[ & 117.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[120,125[ & 122.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[125,130[ & 127.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[130,135[ & 132.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[135,140[ & 137.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[140,145[ & 142.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[145,150[ & 147.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[150,155[ & 152.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[155,160[ & 157.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[160,165[ & 162.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[165,170[ & 167.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[170,175[ & 172.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[175,180[ & 177.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[180,185[ & 182.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[185,190[ & 187.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[190,195[ & 192.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[195,200[ & 197.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[200,205[ & 202.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[205,210[ & 207.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[210,215[ & 212.5 & 0 & 0 & 0.998889 & 0 \tabularnewline
[215,220] & 217.5 & 1 & 0.001111 & 1 & 0.000222 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280804&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][5,10[[/C][C]7.5[/C][C]8[/C][C]0.008889[/C][C]0.008889[/C][C]0.001778[/C][/ROW]
[ROW][C][10,15[[/C][C]12.5[/C][C]43[/C][C]0.047778[/C][C]0.056667[/C][C]0.009556[/C][/ROW]
[ROW][C][15,20[[/C][C]17.5[/C][C]109[/C][C]0.121111[/C][C]0.177778[/C][C]0.024222[/C][/ROW]
[ROW][C][20,25[[/C][C]22.5[/C][C]299[/C][C]0.332222[/C][C]0.51[/C][C]0.066444[/C][/ROW]
[ROW][C][25,30[[/C][C]27.5[/C][C]302[/C][C]0.335556[/C][C]0.845556[/C][C]0.067111[/C][/ROW]
[ROW][C][30,35[[/C][C]32.5[/C][C]80[/C][C]0.088889[/C][C]0.934444[/C][C]0.017778[/C][/ROW]
[ROW][C][35,40[[/C][C]37.5[/C][C]21[/C][C]0.023333[/C][C]0.957778[/C][C]0.004667[/C][/ROW]
[ROW][C][40,45[[/C][C]42.5[/C][C]20[/C][C]0.022222[/C][C]0.98[/C][C]0.004444[/C][/ROW]
[ROW][C][45,50[[/C][C]47.5[/C][C]0[/C][C]0[/C][C]0.98[/C][C]0[/C][/ROW]
[ROW][C][50,55[[/C][C]52.5[/C][C]16[/C][C]0.017778[/C][C]0.997778[/C][C]0.003556[/C][/ROW]
[ROW][C][55,60[[/C][C]57.5[/C][C]0[/C][C]0[/C][C]0.997778[/C][C]0[/C][/ROW]
[ROW][C][60,65[[/C][C]62.5[/C][C]0[/C][C]0[/C][C]0.997778[/C][C]0[/C][/ROW]
[ROW][C][65,70[[/C][C]67.5[/C][C]1[/C][C]0.001111[/C][C]0.998889[/C][C]0.000222[/C][/ROW]
[ROW][C][70,75[[/C][C]72.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][75,80[[/C][C]77.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][80,85[[/C][C]82.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][85,90[[/C][C]87.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][90,95[[/C][C]92.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][95,100[[/C][C]97.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][100,105[[/C][C]102.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][105,110[[/C][C]107.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][110,115[[/C][C]112.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][115,120[[/C][C]117.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][120,125[[/C][C]122.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][125,130[[/C][C]127.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][130,135[[/C][C]132.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][135,140[[/C][C]137.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][140,145[[/C][C]142.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][145,150[[/C][C]147.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][150,155[[/C][C]152.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][155,160[[/C][C]157.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][160,165[[/C][C]162.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][165,170[[/C][C]167.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][170,175[[/C][C]172.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][175,180[[/C][C]177.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][180,185[[/C][C]182.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][185,190[[/C][C]187.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][190,195[[/C][C]192.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][195,200[[/C][C]197.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][200,205[[/C][C]202.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][205,210[[/C][C]207.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][210,215[[/C][C]212.5[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][215,220][/C][C]217.5[/C][C]1[/C][C]0.001111[/C][C]1[/C][C]0.000222[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280804&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280804&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
[5,10[7.580.0088890.0088890.001778
[10,15[12.5430.0477780.0566670.009556
[15,20[17.51090.1211110.1777780.024222
[20,25[22.52990.3322220.510.066444
[25,30[27.53020.3355560.8455560.067111
[30,35[32.5800.0888890.9344440.017778
[35,40[37.5210.0233330.9577780.004667
[40,45[42.5200.0222220.980.004444
[45,50[47.5000.980
[50,55[52.5160.0177780.9977780.003556
[55,60[57.5000.9977780
[60,65[62.5000.9977780
[65,70[67.510.0011110.9988890.000222
[70,75[72.5000.9988890
[75,80[77.5000.9988890
[80,85[82.5000.9988890
[85,90[87.5000.9988890
[90,95[92.5000.9988890
[95,100[97.5000.9988890
[100,105[102.5000.9988890
[105,110[107.5000.9988890
[110,115[112.5000.9988890
[115,120[117.5000.9988890
[120,125[122.5000.9988890
[125,130[127.5000.9988890
[130,135[132.5000.9988890
[135,140[137.5000.9988890
[140,145[142.5000.9988890
[145,150[147.5000.9988890
[150,155[152.5000.9988890
[155,160[157.5000.9988890
[160,165[162.5000.9988890
[165,170[167.5000.9988890
[170,175[172.5000.9988890
[175,180[177.5000.9988890
[180,185[182.5000.9988890
[185,190[187.5000.9988890
[190,195[192.5000.9988890
[195,200[197.5000.9988890
[200,205[202.5000.9988890
[205,210[207.5000.9988890
[210,215[212.5000.9988890
[215,220]217.510.00111110.000222


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 100 ; par2 = grey ; par3 = FALSE ; par4 = 3-point Likert ;
Parameters (R input):
par1 = 50 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
R code (references can be found in the software module):
par4 <- 'Unknown'
par3 <- 'FALSE'
par2 <- 'grey'
par1 <- ''
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,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')
}