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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 computationThu, 21 Dec 2017 15:35:34 +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/2017/Dec/21/t1513866987h22gv8wsq2f7q7m.htm/, Retrieved Tue, 14 May 2024 13:24:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310651, Retrieved Tue, 14 May 2024 13:24:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact58

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [Histogram Paper] [2017-12-21 14:35:34] [2fb711e06e7eb81d34c9e51edb934d8a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10
10.5
10
9.5
8.5
5
5.5
6.5
6
10.5
11
8.5
4
7
10
11
8
9
9.5
10
8.5
9.5
9.5
10.5
13
10.5
12
7.5
9.5
7.5
12
6
12
11
12.5
8
8.5
10
11.5
8
11
8.5
5.5
11.5
9.5
8.5
9.5
13
10.5
9.5
9.5
9.5
11
8
8.5
6
9.5
5
9.5
10
9
9
9.5
8
9.5
11
14
12
10.5
10
8
9.5
10.5
9
10
10
17
12
11
10.5
11
9.5
8.5
8.5
12
12
13.5
11.5
11
9
5
8
10.5
10
10
9
10
9
8.5
10
5
8.5
12.5
11
11.5
8
11
9
10
10
14
8
7
9.5
11
14
10
10
10.5
7.5

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310651&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310651&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310651&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Frequency Table (Histogram)
BinsMidpointAbs. FrequencyRel. FrequencyCumul. Rel. Freq.Density
[4,4.5[4.2510.0083330.0083330.016667
[4.5,5[4.75000.0083330
[5,5.5[5.2540.0333330.0416670.066667
[5.5,6[5.7520.0166670.0583330.033333
[6,6.5[6.2530.0250.0833330.05
[6.5,7[6.7510.0083330.0916670.016667
[7,7.5[7.2520.0166670.1083330.033333
[7.5,8[7.7530.0250.1333330.05
[8,8.5[8.2590.0750.2083330.15
[8.5,9[8.75110.0916670.30.183333
[9,9.5[9.2580.0666670.3666670.133333
[9.5,10[9.75170.1416670.5083330.283333
[10,10.5[10.25170.1416670.650.283333
[10.5,11[10.75100.0833330.7333330.166667
[11,11.5[11.25120.10.8333330.2
[11.5,12[11.7540.0333330.8666670.066667
[12,12.5[12.2570.0583330.9250.116667
[12.5,13[12.7520.0166670.9416670.033333
[13,13.5[13.2520.0166670.9583330.033333
[13.5,14[13.7510.0083330.9666670.016667
[14,14.5[14.2530.0250.9916670.05
[14.5,15[14.75000.9916670
[15,15.5[15.25000.9916670
[15.5,16[15.75000.9916670
[16,16.5[16.25000.9916670
[16.5,17]16.7510.00833310.016667

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[4,4.5[ & 4.25 & 1 & 0.008333 & 0.008333 & 0.016667 \tabularnewline
[4.5,5[ & 4.75 & 0 & 0 & 0.008333 & 0 \tabularnewline
[5,5.5[ & 5.25 & 4 & 0.033333 & 0.041667 & 0.066667 \tabularnewline
[5.5,6[ & 5.75 & 2 & 0.016667 & 0.058333 & 0.033333 \tabularnewline
[6,6.5[ & 6.25 & 3 & 0.025 & 0.083333 & 0.05 \tabularnewline
[6.5,7[ & 6.75 & 1 & 0.008333 & 0.091667 & 0.016667 \tabularnewline
[7,7.5[ & 7.25 & 2 & 0.016667 & 0.108333 & 0.033333 \tabularnewline
[7.5,8[ & 7.75 & 3 & 0.025 & 0.133333 & 0.05 \tabularnewline
[8,8.5[ & 8.25 & 9 & 0.075 & 0.208333 & 0.15 \tabularnewline
[8.5,9[ & 8.75 & 11 & 0.091667 & 0.3 & 0.183333 \tabularnewline
[9,9.5[ & 9.25 & 8 & 0.066667 & 0.366667 & 0.133333 \tabularnewline
[9.5,10[ & 9.75 & 17 & 0.141667 & 0.508333 & 0.283333 \tabularnewline
[10,10.5[ & 10.25 & 17 & 0.141667 & 0.65 & 0.283333 \tabularnewline
[10.5,11[ & 10.75 & 10 & 0.083333 & 0.733333 & 0.166667 \tabularnewline
[11,11.5[ & 11.25 & 12 & 0.1 & 0.833333 & 0.2 \tabularnewline
[11.5,12[ & 11.75 & 4 & 0.033333 & 0.866667 & 0.066667 \tabularnewline
[12,12.5[ & 12.25 & 7 & 0.058333 & 0.925 & 0.116667 \tabularnewline
[12.5,13[ & 12.75 & 2 & 0.016667 & 0.941667 & 0.033333 \tabularnewline
[13,13.5[ & 13.25 & 2 & 0.016667 & 0.958333 & 0.033333 \tabularnewline
[13.5,14[ & 13.75 & 1 & 0.008333 & 0.966667 & 0.016667 \tabularnewline
[14,14.5[ & 14.25 & 3 & 0.025 & 0.991667 & 0.05 \tabularnewline
[14.5,15[ & 14.75 & 0 & 0 & 0.991667 & 0 \tabularnewline
[15,15.5[ & 15.25 & 0 & 0 & 0.991667 & 0 \tabularnewline
[15.5,16[ & 15.75 & 0 & 0 & 0.991667 & 0 \tabularnewline
[16,16.5[ & 16.25 & 0 & 0 & 0.991667 & 0 \tabularnewline
[16.5,17] & 16.75 & 1 & 0.008333 & 1 & 0.016667 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310651&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][4,4.5[[/C][C]4.25[/C][C]1[/C][C]0.008333[/C][C]0.008333[/C][C]0.016667[/C][/ROW]
[ROW][C][4.5,5[[/C][C]4.75[/C][C]0[/C][C]0[/C][C]0.008333[/C][C]0[/C][/ROW]
[ROW][C][5,5.5[[/C][C]5.25[/C][C]4[/C][C]0.033333[/C][C]0.041667[/C][C]0.066667[/C][/ROW]
[ROW][C][5.5,6[[/C][C]5.75[/C][C]2[/C][C]0.016667[/C][C]0.058333[/C][C]0.033333[/C][/ROW]
[ROW][C][6,6.5[[/C][C]6.25[/C][C]3[/C][C]0.025[/C][C]0.083333[/C][C]0.05[/C][/ROW]
[ROW][C][6.5,7[[/C][C]6.75[/C][C]1[/C][C]0.008333[/C][C]0.091667[/C][C]0.016667[/C][/ROW]
[ROW][C][7,7.5[[/C][C]7.25[/C][C]2[/C][C]0.016667[/C][C]0.108333[/C][C]0.033333[/C][/ROW]
[ROW][C][7.5,8[[/C][C]7.75[/C][C]3[/C][C]0.025[/C][C]0.133333[/C][C]0.05[/C][/ROW]
[ROW][C][8,8.5[[/C][C]8.25[/C][C]9[/C][C]0.075[/C][C]0.208333[/C][C]0.15[/C][/ROW]
[ROW][C][8.5,9[[/C][C]8.75[/C][C]11[/C][C]0.091667[/C][C]0.3[/C][C]0.183333[/C][/ROW]
[ROW][C][9,9.5[[/C][C]9.25[/C][C]8[/C][C]0.066667[/C][C]0.366667[/C][C]0.133333[/C][/ROW]
[ROW][C][9.5,10[[/C][C]9.75[/C][C]17[/C][C]0.141667[/C][C]0.508333[/C][C]0.283333[/C][/ROW]
[ROW][C][10,10.5[[/C][C]10.25[/C][C]17[/C][C]0.141667[/C][C]0.65[/C][C]0.283333[/C][/ROW]
[ROW][C][10.5,11[[/C][C]10.75[/C][C]10[/C][C]0.083333[/C][C]0.733333[/C][C]0.166667[/C][/ROW]
[ROW][C][11,11.5[[/C][C]11.25[/C][C]12[/C][C]0.1[/C][C]0.833333[/C][C]0.2[/C][/ROW]
[ROW][C][11.5,12[[/C][C]11.75[/C][C]4[/C][C]0.033333[/C][C]0.866667[/C][C]0.066667[/C][/ROW]
[ROW][C][12,12.5[[/C][C]12.25[/C][C]7[/C][C]0.058333[/C][C]0.925[/C][C]0.116667[/C][/ROW]
[ROW][C][12.5,13[[/C][C]12.75[/C][C]2[/C][C]0.016667[/C][C]0.941667[/C][C]0.033333[/C][/ROW]
[ROW][C][13,13.5[[/C][C]13.25[/C][C]2[/C][C]0.016667[/C][C]0.958333[/C][C]0.033333[/C][/ROW]
[ROW][C][13.5,14[[/C][C]13.75[/C][C]1[/C][C]0.008333[/C][C]0.966667[/C][C]0.016667[/C][/ROW]
[ROW][C][14,14.5[[/C][C]14.25[/C][C]3[/C][C]0.025[/C][C]0.991667[/C][C]0.05[/C][/ROW]
[ROW][C][14.5,15[[/C][C]14.75[/C][C]0[/C][C]0[/C][C]0.991667[/C][C]0[/C][/ROW]
[ROW][C][15,15.5[[/C][C]15.25[/C][C]0[/C][C]0[/C][C]0.991667[/C][C]0[/C][/ROW]
[ROW][C][15.5,16[[/C][C]15.75[/C][C]0[/C][C]0[/C][C]0.991667[/C][C]0[/C][/ROW]
[ROW][C][16,16.5[[/C][C]16.25[/C][C]0[/C][C]0[/C][C]0.991667[/C][C]0[/C][/ROW]
[ROW][C][16.5,17][/C][C]16.75[/C][C]1[/C][C]0.008333[/C][C]1[/C][C]0.016667[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310651&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310651&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
[4,4.5[4.2510.0083330.0083330.016667
[4.5,5[4.75000.0083330
[5,5.5[5.2540.0333330.0416670.066667
[5.5,6[5.7520.0166670.0583330.033333
[6,6.5[6.2530.0250.0833330.05
[6.5,7[6.7510.0083330.0916670.016667
[7,7.5[7.2520.0166670.1083330.033333
[7.5,8[7.7530.0250.1333330.05
[8,8.5[8.2590.0750.2083330.15
[8.5,9[8.75110.0916670.30.183333
[9,9.5[9.2580.0666670.3666670.133333
[9.5,10[9.75170.1416670.5083330.283333
[10,10.5[10.25170.1416670.650.283333
[10.5,11[10.75100.0833330.7333330.166667
[11,11.5[11.25120.10.8333330.2
[11.5,12[11.7540.0333330.8666670.066667
[12,12.5[12.2570.0583330.9250.116667
[12.5,13[12.7520.0166670.9416670.033333
[13,13.5[13.2520.0166670.9583330.033333
[13.5,14[13.7510.0083330.9666670.016667
[14,14.5[14.2530.0250.9916670.05
[14.5,15[14.75000.9916670
[15,15.5[15.25000.9916670
[15.5,16[15.75000.9916670
[16,16.5[16.25000.9916670
[16.5,17]16.7510.00833310.016667


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 27 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
Parameters (R input):
par1 = 27 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
R code (references can be found in the software module):
par4 <- 'Unknown'
par3 <- 'FALSE'
par2 <- 'grey'
par1 <- '27'
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,'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')
}