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*Unverified author*

R Software Module

rwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Mon, 05 Dec 2016 08:14:23 +0000

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/2016/Dec/05/t1480925686gaf6fbu1lp08w43.htm/, Retrieved Wed, 01 May 2024 19:56:50 +0200

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Wed, 01 May 2024 19:56:50 +0200

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User-defined keywords

Estimated Impact

Dataseries X:

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Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.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 Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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 Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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	0 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[4,6[	5	3	0.003333	0.003333	0.001667
[6,8[	7	1	0.001111	0.004444	0.000556
[8,10[	9	4	0.004444	0.008889	0.002222
[10,12[	11	17	0.018889	0.027778	0.009444
[12,14[	13	26	0.028889	0.056667	0.014444
[14,16[	15	78	0.086667	0.143333	0.043333
[16,18[	17	3	0.003333	0.146667	0.001667
[18,20[	19	28	0.031111	0.177778	0.015556
[20,22[	21	197	0.218889	0.396667	0.109444
[22,24[	23	99	0.11	0.506667	0.055
[24,26[	25	300	0.333333	0.84	0.166667
[26,28[	27	2	0.002222	0.842222	0.001111
[28,30[	29	4	0.004444	0.846667	0.002222
[30,32[	31	80	0.088889	0.935556	0.044444
[32,34[	33	0	0	0.935556	0
[34,36[	35	20	0.022222	0.957778	0.011111
[36,38[	37	0	0	0.957778	0
[38,40[	39	1	0.001111	0.958889	0.000556
[40,42[	41	20	0.022222	0.981111	0.011111
[42,44[	43	0	0	0.981111	0
[44,46[	45	0	0	0.981111	0
[46,48[	47	0	0	0.981111	0
[48,50[	49	0	0	0.981111	0
[50,52[	51	16	0.017778	0.998889	0.008889
[52,54[	53	0	0	0.998889	0
[54,56[	55	0	0	0.998889	0
[56,58[	57	0	0	0.998889	0
[58,60[	59	0	0	0.998889	0
[60,62[	61	0	0	0.998889	0
[62,64[	63	0	0	0.998889	0
[64,66]	65	1	0.001111	1	0.000556

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[4,6[ & 5 & 3 & 0.003333 & 0.003333 & 0.001667 \tabularnewline
[6,8[ & 7 & 1 & 0.001111 & 0.004444 & 0.000556 \tabularnewline
[8,10[ & 9 & 4 & 0.004444 & 0.008889 & 0.002222 \tabularnewline
[10,12[ & 11 & 17 & 0.018889 & 0.027778 & 0.009444 \tabularnewline
[12,14[ & 13 & 26 & 0.028889 & 0.056667 & 0.014444 \tabularnewline
[14,16[ & 15 & 78 & 0.086667 & 0.143333 & 0.043333 \tabularnewline
[16,18[ & 17 & 3 & 0.003333 & 0.146667 & 0.001667 \tabularnewline
[18,20[ & 19 & 28 & 0.031111 & 0.177778 & 0.015556 \tabularnewline
[20,22[ & 21 & 197 & 0.218889 & 0.396667 & 0.109444 \tabularnewline
[22,24[ & 23 & 99 & 0.11 & 0.506667 & 0.055 \tabularnewline
[24,26[ & 25 & 300 & 0.333333 & 0.84 & 0.166667 \tabularnewline
[26,28[ & 27 & 2 & 0.002222 & 0.842222 & 0.001111 \tabularnewline
[28,30[ & 29 & 4 & 0.004444 & 0.846667 & 0.002222 \tabularnewline
[30,32[ & 31 & 80 & 0.088889 & 0.935556 & 0.044444 \tabularnewline
[32,34[ & 33 & 0 & 0 & 0.935556 & 0 \tabularnewline
[34,36[ & 35 & 20 & 0.022222 & 0.957778 & 0.011111 \tabularnewline
[36,38[ & 37 & 0 & 0 & 0.957778 & 0 \tabularnewline
[38,40[ & 39 & 1 & 0.001111 & 0.958889 & 0.000556 \tabularnewline
[40,42[ & 41 & 20 & 0.022222 & 0.981111 & 0.011111 \tabularnewline
[42,44[ & 43 & 0 & 0 & 0.981111 & 0 \tabularnewline
[44,46[ & 45 & 0 & 0 & 0.981111 & 0 \tabularnewline
[46,48[ & 47 & 0 & 0 & 0.981111 & 0 \tabularnewline
[48,50[ & 49 & 0 & 0 & 0.981111 & 0 \tabularnewline
[50,52[ & 51 & 16 & 0.017778 & 0.998889 & 0.008889 \tabularnewline
[52,54[ & 53 & 0 & 0 & 0.998889 & 0 \tabularnewline
[54,56[ & 55 & 0 & 0 & 0.998889 & 0 \tabularnewline
[56,58[ & 57 & 0 & 0 & 0.998889 & 0 \tabularnewline
[58,60[ & 59 & 0 & 0 & 0.998889 & 0 \tabularnewline
[60,62[ & 61 & 0 & 0 & 0.998889 & 0 \tabularnewline
[62,64[ & 63 & 0 & 0 & 0.998889 & 0 \tabularnewline
[64,66] & 65 & 1 & 0.001111 & 1 & 0.000556 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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][4,6[[/C][C]5[/C][C]3[/C][C]0.003333[/C][C]0.003333[/C][C]0.001667[/C][/ROW]
[ROW][C][6,8[[/C][C]7[/C][C]1[/C][C]0.001111[/C][C]0.004444[/C][C]0.000556[/C][/ROW]
[ROW][C][8,10[[/C][C]9[/C][C]4[/C][C]0.004444[/C][C]0.008889[/C][C]0.002222[/C][/ROW]
[ROW][C][10,12[[/C][C]11[/C][C]17[/C][C]0.018889[/C][C]0.027778[/C][C]0.009444[/C][/ROW]
[ROW][C][12,14[[/C][C]13[/C][C]26[/C][C]0.028889[/C][C]0.056667[/C][C]0.014444[/C][/ROW]
[ROW][C][14,16[[/C][C]15[/C][C]78[/C][C]0.086667[/C][C]0.143333[/C][C]0.043333[/C][/ROW]
[ROW][C][16,18[[/C][C]17[/C][C]3[/C][C]0.003333[/C][C]0.146667[/C][C]0.001667[/C][/ROW]
[ROW][C][18,20[[/C][C]19[/C][C]28[/C][C]0.031111[/C][C]0.177778[/C][C]0.015556[/C][/ROW]
[ROW][C][20,22[[/C][C]21[/C][C]197[/C][C]0.218889[/C][C]0.396667[/C][C]0.109444[/C][/ROW]
[ROW][C][22,24[[/C][C]23[/C][C]99[/C][C]0.11[/C][C]0.506667[/C][C]0.055[/C][/ROW]
[ROW][C][24,26[[/C][C]25[/C][C]300[/C][C]0.333333[/C][C]0.84[/C][C]0.166667[/C][/ROW]
[ROW][C][26,28[[/C][C]27[/C][C]2[/C][C]0.002222[/C][C]0.842222[/C][C]0.001111[/C][/ROW]
[ROW][C][28,30[[/C][C]29[/C][C]4[/C][C]0.004444[/C][C]0.846667[/C][C]0.002222[/C][/ROW]
[ROW][C][30,32[[/C][C]31[/C][C]80[/C][C]0.088889[/C][C]0.935556[/C][C]0.044444[/C][/ROW]
[ROW][C][32,34[[/C][C]33[/C][C]0[/C][C]0[/C][C]0.935556[/C][C]0[/C][/ROW]
[ROW][C][34,36[[/C][C]35[/C][C]20[/C][C]0.022222[/C][C]0.957778[/C][C]0.011111[/C][/ROW]
[ROW][C][36,38[[/C][C]37[/C][C]0[/C][C]0[/C][C]0.957778[/C][C]0[/C][/ROW]
[ROW][C][38,40[[/C][C]39[/C][C]1[/C][C]0.001111[/C][C]0.958889[/C][C]0.000556[/C][/ROW]
[ROW][C][40,42[[/C][C]41[/C][C]20[/C][C]0.022222[/C][C]0.981111[/C][C]0.011111[/C][/ROW]
[ROW][C][42,44[[/C][C]43[/C][C]0[/C][C]0[/C][C]0.981111[/C][C]0[/C][/ROW]
[ROW][C][44,46[[/C][C]45[/C][C]0[/C][C]0[/C][C]0.981111[/C][C]0[/C][/ROW]
[ROW][C][46,48[[/C][C]47[/C][C]0[/C][C]0[/C][C]0.981111[/C][C]0[/C][/ROW]
[ROW][C][48,50[[/C][C]49[/C][C]0[/C][C]0[/C][C]0.981111[/C][C]0[/C][/ROW]
[ROW][C][50,52[[/C][C]51[/C][C]16[/C][C]0.017778[/C][C]0.998889[/C][C]0.008889[/C][/ROW]
[ROW][C][52,54[[/C][C]53[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][54,56[[/C][C]55[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][56,58[[/C][C]57[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][58,60[[/C][C]59[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][60,62[[/C][C]61[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][62,64[[/C][C]63[/C][C]0[/C][C]0[/C][C]0.998889[/C][C]0[/C][/ROW]
[ROW][C][64,66][/C][C]65[/C][C]1[/C][C]0.001111[/C][C]1[/C][C]0.000556[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[4,6[	5	3	0.003333	0.003333	0.001667
[6,8[	7	1	0.001111	0.004444	0.000556
[8,10[	9	4	0.004444	0.008889	0.002222
[10,12[	11	17	0.018889	0.027778	0.009444
[12,14[	13	26	0.028889	0.056667	0.014444
[14,16[	15	78	0.086667	0.143333	0.043333
[16,18[	17	3	0.003333	0.146667	0.001667
[18,20[	19	28	0.031111	0.177778	0.015556
[20,22[	21	197	0.218889	0.396667	0.109444
[22,24[	23	99	0.11	0.506667	0.055
[24,26[	25	300	0.333333	0.84	0.166667
[26,28[	27	2	0.002222	0.842222	0.001111
[28,30[	29	4	0.004444	0.846667	0.002222
[30,32[	31	80	0.088889	0.935556	0.044444
[32,34[	33	0	0	0.935556	0
[34,36[	35	20	0.022222	0.957778	0.011111
[36,38[	37	0	0	0.957778	0
[38,40[	39	1	0.001111	0.958889	0.000556
[40,42[	41	20	0.022222	0.981111	0.011111
[42,44[	43	0	0	0.981111	0
[44,46[	45	0	0	0.981111	0
[46,48[	47	0	0	0.981111	0
[48,50[	49	0	0	0.981111	0
[50,52[	51	16	0.017778	0.998889	0.008889
[52,54[	53	0	0	0.998889	0
[54,56[	55	0	0	0.998889	0
[56,58[	57	0	0	0.998889	0
[58,60[	59	0	0	0.998889	0
[60,62[	61	0	0	0.998889	0
[62,64[	63	0	0	0.998889	0
[64,66]	65	1	0.001111	1	0.000556

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 24 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 24 ; 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.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')
}

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code