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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, 25 Nov 2018 12:06:41 +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/2018/Nov/25/t15431441297mmvdox8pbuvyew.htm/, Retrieved Mon, 29 Apr 2024 09:47:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315700, Retrieved Mon, 29 Apr 2024 09:47:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact125

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Histogram] [] [2018-11-25 11:06:41] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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10.9988231

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=315700&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=315700&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315700&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
[-10,-9.5[-9.75210.0114750.0114750.022951
[-9.5,-9[-9.25000.0114750
[-9,-8.5[-8.75000.0114750
[-8.5,-8[-8.25000.0114750
[-8,-7.5[-7.75000.0114750
[-7.5,-7[-7.25000.0114750
[-7,-6.5[-6.7550.0027320.0142080.005464
[-6.5,-6[-6.25000.0142080
[-6,-5.5[-5.75000.0142080
[-5.5,-5[-5.25000.0142080
[-5,-4.5[-4.7510.0005460.0147540.001093
[-4.5,-4[-4.2550.0027320.0174860.005464
[-4,-3.5[-3.7540.0021860.0196720.004372
[-3.5,-3[-3.2530.0016390.0213110.003279
[-3,-2.5[-2.7540.0021860.0234970.004372
[-2.5,-2[-2.2560.0032790.0267760.006557
[-2,-1.5[-1.75170.009290.0360660.018579
[-1.5,-1[-1.25250.0136610.0497270.027322
[-1,-0.5[-0.75620.033880.0836070.06776
[-0.5,0[-0.251270.0693990.1530050.138798
[0,0.5[0.251640.0896170.2426230.179235
[0.5,1[0.753110.1699450.4125680.339891
[1,1.5[1.253760.2054640.6180330.410929
[1.5,2[1.751990.1087430.7267760.217486
[2,2.5[2.251280.0699450.7967210.139891
[2.5,3[2.75800.0437160.8404370.087432
[3,3.5[3.25480.026230.8666670.052459
[3.5,4[3.75320.0174860.8841530.034973
[4,4.5[4.25280.0153010.8994540.030601
[4.5,5[4.75200.0109290.9103830.021858
[5,5.5[5.25150.0081970.9185790.016393
[5.5,6[5.75110.0060110.924590.012022
[6,6.5[6.2590.0049180.9295080.009836
[6.5,7[6.7590.0049180.9344260.009836
[7,7.5[7.2520.0010930.9355190.002186
[7.5,8[7.7530.0016390.9371580.003279
[8,8.5[8.2530.0016390.9387980.003279
[8.5,9[8.7520.0010930.9398910.002186
[9,9.5[9.2510.0005460.9404370.001093
[9.5,10[9.751080.0590160.9994540.118033
[10,10.5[10.25000.9994540
[10.5,11]10.7510.00054610.001093

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[-10,-9.5[ & -9.75 & 21 & 0.011475 & 0.011475 & 0.022951 \tabularnewline
[-9.5,-9[ & -9.25 & 0 & 0 & 0.011475 & 0 \tabularnewline
[-9,-8.5[ & -8.75 & 0 & 0 & 0.011475 & 0 \tabularnewline
[-8.5,-8[ & -8.25 & 0 & 0 & 0.011475 & 0 \tabularnewline
[-8,-7.5[ & -7.75 & 0 & 0 & 0.011475 & 0 \tabularnewline
[-7.5,-7[ & -7.25 & 0 & 0 & 0.011475 & 0 \tabularnewline
[-7,-6.5[ & -6.75 & 5 & 0.002732 & 0.014208 & 0.005464 \tabularnewline
[-6.5,-6[ & -6.25 & 0 & 0 & 0.014208 & 0 \tabularnewline
[-6,-5.5[ & -5.75 & 0 & 0 & 0.014208 & 0 \tabularnewline
[-5.5,-5[ & -5.25 & 0 & 0 & 0.014208 & 0 \tabularnewline
[-5,-4.5[ & -4.75 & 1 & 0.000546 & 0.014754 & 0.001093 \tabularnewline
[-4.5,-4[ & -4.25 & 5 & 0.002732 & 0.017486 & 0.005464 \tabularnewline
[-4,-3.5[ & -3.75 & 4 & 0.002186 & 0.019672 & 0.004372 \tabularnewline
[-3.5,-3[ & -3.25 & 3 & 0.001639 & 0.021311 & 0.003279 \tabularnewline
[-3,-2.5[ & -2.75 & 4 & 0.002186 & 0.023497 & 0.004372 \tabularnewline
[-2.5,-2[ & -2.25 & 6 & 0.003279 & 0.026776 & 0.006557 \tabularnewline
[-2,-1.5[ & -1.75 & 17 & 0.00929 & 0.036066 & 0.018579 \tabularnewline
[-1.5,-1[ & -1.25 & 25 & 0.013661 & 0.049727 & 0.027322 \tabularnewline
[-1,-0.5[ & -0.75 & 62 & 0.03388 & 0.083607 & 0.06776 \tabularnewline
[-0.5,0[ & -0.25 & 127 & 0.069399 & 0.153005 & 0.138798 \tabularnewline
[0,0.5[ & 0.25 & 164 & 0.089617 & 0.242623 & 0.179235 \tabularnewline
[0.5,1[ & 0.75 & 311 & 0.169945 & 0.412568 & 0.339891 \tabularnewline
[1,1.5[ & 1.25 & 376 & 0.205464 & 0.618033 & 0.410929 \tabularnewline
[1.5,2[ & 1.75 & 199 & 0.108743 & 0.726776 & 0.217486 \tabularnewline
[2,2.5[ & 2.25 & 128 & 0.069945 & 0.796721 & 0.139891 \tabularnewline
[2.5,3[ & 2.75 & 80 & 0.043716 & 0.840437 & 0.087432 \tabularnewline
[3,3.5[ & 3.25 & 48 & 0.02623 & 0.866667 & 0.052459 \tabularnewline
[3.5,4[ & 3.75 & 32 & 0.017486 & 0.884153 & 0.034973 \tabularnewline
[4,4.5[ & 4.25 & 28 & 0.015301 & 0.899454 & 0.030601 \tabularnewline
[4.5,5[ & 4.75 & 20 & 0.010929 & 0.910383 & 0.021858 \tabularnewline
[5,5.5[ & 5.25 & 15 & 0.008197 & 0.918579 & 0.016393 \tabularnewline
[5.5,6[ & 5.75 & 11 & 0.006011 & 0.92459 & 0.012022 \tabularnewline
[6,6.5[ & 6.25 & 9 & 0.004918 & 0.929508 & 0.009836 \tabularnewline
[6.5,7[ & 6.75 & 9 & 0.004918 & 0.934426 & 0.009836 \tabularnewline
[7,7.5[ & 7.25 & 2 & 0.001093 & 0.935519 & 0.002186 \tabularnewline
[7.5,8[ & 7.75 & 3 & 0.001639 & 0.937158 & 0.003279 \tabularnewline
[8,8.5[ & 8.25 & 3 & 0.001639 & 0.938798 & 0.003279 \tabularnewline
[8.5,9[ & 8.75 & 2 & 0.001093 & 0.939891 & 0.002186 \tabularnewline
[9,9.5[ & 9.25 & 1 & 0.000546 & 0.940437 & 0.001093 \tabularnewline
[9.5,10[ & 9.75 & 108 & 0.059016 & 0.999454 & 0.118033 \tabularnewline
[10,10.5[ & 10.25 & 0 & 0 & 0.999454 & 0 \tabularnewline
[10.5,11] & 10.75 & 1 & 0.000546 & 1 & 0.001093 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315700&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][-10,-9.5[[/C][C]-9.75[/C][C]21[/C][C]0.011475[/C][C]0.011475[/C][C]0.022951[/C][/ROW]
[ROW][C][-9.5,-9[[/C][C]-9.25[/C][C]0[/C][C]0[/C][C]0.011475[/C][C]0[/C][/ROW]
[ROW][C][-9,-8.5[[/C][C]-8.75[/C][C]0[/C][C]0[/C][C]0.011475[/C][C]0[/C][/ROW]
[ROW][C][-8.5,-8[[/C][C]-8.25[/C][C]0[/C][C]0[/C][C]0.011475[/C][C]0[/C][/ROW]
[ROW][C][-8,-7.5[[/C][C]-7.75[/C][C]0[/C][C]0[/C][C]0.011475[/C][C]0[/C][/ROW]
[ROW][C][-7.5,-7[[/C][C]-7.25[/C][C]0[/C][C]0[/C][C]0.011475[/C][C]0[/C][/ROW]
[ROW][C][-7,-6.5[[/C][C]-6.75[/C][C]5[/C][C]0.002732[/C][C]0.014208[/C][C]0.005464[/C][/ROW]
[ROW][C][-6.5,-6[[/C][C]-6.25[/C][C]0[/C][C]0[/C][C]0.014208[/C][C]0[/C][/ROW]
[ROW][C][-6,-5.5[[/C][C]-5.75[/C][C]0[/C][C]0[/C][C]0.014208[/C][C]0[/C][/ROW]
[ROW][C][-5.5,-5[[/C][C]-5.25[/C][C]0[/C][C]0[/C][C]0.014208[/C][C]0[/C][/ROW]
[ROW][C][-5,-4.5[[/C][C]-4.75[/C][C]1[/C][C]0.000546[/C][C]0.014754[/C][C]0.001093[/C][/ROW]
[ROW][C][-4.5,-4[[/C][C]-4.25[/C][C]5[/C][C]0.002732[/C][C]0.017486[/C][C]0.005464[/C][/ROW]
[ROW][C][-4,-3.5[[/C][C]-3.75[/C][C]4[/C][C]0.002186[/C][C]0.019672[/C][C]0.004372[/C][/ROW]
[ROW][C][-3.5,-3[[/C][C]-3.25[/C][C]3[/C][C]0.001639[/C][C]0.021311[/C][C]0.003279[/C][/ROW]
[ROW][C][-3,-2.5[[/C][C]-2.75[/C][C]4[/C][C]0.002186[/C][C]0.023497[/C][C]0.004372[/C][/ROW]
[ROW][C][-2.5,-2[[/C][C]-2.25[/C][C]6[/C][C]0.003279[/C][C]0.026776[/C][C]0.006557[/C][/ROW]
[ROW][C][-2,-1.5[[/C][C]-1.75[/C][C]17[/C][C]0.00929[/C][C]0.036066[/C][C]0.018579[/C][/ROW]
[ROW][C][-1.5,-1[[/C][C]-1.25[/C][C]25[/C][C]0.013661[/C][C]0.049727[/C][C]0.027322[/C][/ROW]
[ROW][C][-1,-0.5[[/C][C]-0.75[/C][C]62[/C][C]0.03388[/C][C]0.083607[/C][C]0.06776[/C][/ROW]
[ROW][C][-0.5,0[[/C][C]-0.25[/C][C]127[/C][C]0.069399[/C][C]0.153005[/C][C]0.138798[/C][/ROW]
[ROW][C][0,0.5[[/C][C]0.25[/C][C]164[/C][C]0.089617[/C][C]0.242623[/C][C]0.179235[/C][/ROW]
[ROW][C][0.5,1[[/C][C]0.75[/C][C]311[/C][C]0.169945[/C][C]0.412568[/C][C]0.339891[/C][/ROW]
[ROW][C][1,1.5[[/C][C]1.25[/C][C]376[/C][C]0.205464[/C][C]0.618033[/C][C]0.410929[/C][/ROW]
[ROW][C][1.5,2[[/C][C]1.75[/C][C]199[/C][C]0.108743[/C][C]0.726776[/C][C]0.217486[/C][/ROW]
[ROW][C][2,2.5[[/C][C]2.25[/C][C]128[/C][C]0.069945[/C][C]0.796721[/C][C]0.139891[/C][/ROW]
[ROW][C][2.5,3[[/C][C]2.75[/C][C]80[/C][C]0.043716[/C][C]0.840437[/C][C]0.087432[/C][/ROW]
[ROW][C][3,3.5[[/C][C]3.25[/C][C]48[/C][C]0.02623[/C][C]0.866667[/C][C]0.052459[/C][/ROW]
[ROW][C][3.5,4[[/C][C]3.75[/C][C]32[/C][C]0.017486[/C][C]0.884153[/C][C]0.034973[/C][/ROW]
[ROW][C][4,4.5[[/C][C]4.25[/C][C]28[/C][C]0.015301[/C][C]0.899454[/C][C]0.030601[/C][/ROW]
[ROW][C][4.5,5[[/C][C]4.75[/C][C]20[/C][C]0.010929[/C][C]0.910383[/C][C]0.021858[/C][/ROW]
[ROW][C][5,5.5[[/C][C]5.25[/C][C]15[/C][C]0.008197[/C][C]0.918579[/C][C]0.016393[/C][/ROW]
[ROW][C][5.5,6[[/C][C]5.75[/C][C]11[/C][C]0.006011[/C][C]0.92459[/C][C]0.012022[/C][/ROW]
[ROW][C][6,6.5[[/C][C]6.25[/C][C]9[/C][C]0.004918[/C][C]0.929508[/C][C]0.009836[/C][/ROW]
[ROW][C][6.5,7[[/C][C]6.75[/C][C]9[/C][C]0.004918[/C][C]0.934426[/C][C]0.009836[/C][/ROW]
[ROW][C][7,7.5[[/C][C]7.25[/C][C]2[/C][C]0.001093[/C][C]0.935519[/C][C]0.002186[/C][/ROW]
[ROW][C][7.5,8[[/C][C]7.75[/C][C]3[/C][C]0.001639[/C][C]0.937158[/C][C]0.003279[/C][/ROW]
[ROW][C][8,8.5[[/C][C]8.25[/C][C]3[/C][C]0.001639[/C][C]0.938798[/C][C]0.003279[/C][/ROW]
[ROW][C][8.5,9[[/C][C]8.75[/C][C]2[/C][C]0.001093[/C][C]0.939891[/C][C]0.002186[/C][/ROW]
[ROW][C][9,9.5[[/C][C]9.25[/C][C]1[/C][C]0.000546[/C][C]0.940437[/C][C]0.001093[/C][/ROW]
[ROW][C][9.5,10[[/C][C]9.75[/C][C]108[/C][C]0.059016[/C][C]0.999454[/C][C]0.118033[/C][/ROW]
[ROW][C][10,10.5[[/C][C]10.25[/C][C]0[/C][C]0[/C][C]0.999454[/C][C]0[/C][/ROW]
[ROW][C][10.5,11][/C][C]10.75[/C][C]1[/C][C]0.000546[/C][C]1[/C][C]0.001093[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315700&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315700&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
[-10,-9.5[-9.75210.0114750.0114750.022951
[-9.5,-9[-9.25000.0114750
[-9,-8.5[-8.75000.0114750
[-8.5,-8[-8.25000.0114750
[-8,-7.5[-7.75000.0114750
[-7.5,-7[-7.25000.0114750
[-7,-6.5[-6.7550.0027320.0142080.005464
[-6.5,-6[-6.25000.0142080
[-6,-5.5[-5.75000.0142080
[-5.5,-5[-5.25000.0142080
[-5,-4.5[-4.7510.0005460.0147540.001093
[-4.5,-4[-4.2550.0027320.0174860.005464
[-4,-3.5[-3.7540.0021860.0196720.004372
[-3.5,-3[-3.2530.0016390.0213110.003279
[-3,-2.5[-2.7540.0021860.0234970.004372
[-2.5,-2[-2.2560.0032790.0267760.006557
[-2,-1.5[-1.75170.009290.0360660.018579
[-1.5,-1[-1.25250.0136610.0497270.027322
[-1,-0.5[-0.75620.033880.0836070.06776
[-0.5,0[-0.251270.0693990.1530050.138798
[0,0.5[0.251640.0896170.2426230.179235
[0.5,1[0.753110.1699450.4125680.339891
[1,1.5[1.253760.2054640.6180330.410929
[1.5,2[1.751990.1087430.7267760.217486
[2,2.5[2.251280.0699450.7967210.139891
[2.5,3[2.75800.0437160.8404370.087432
[3,3.5[3.25480.026230.8666670.052459
[3.5,4[3.75320.0174860.8841530.034973
[4,4.5[4.25280.0153010.8994540.030601
[4.5,5[4.75200.0109290.9103830.021858
[5,5.5[5.25150.0081970.9185790.016393
[5.5,6[5.75110.0060110.924590.012022
[6,6.5[6.2590.0049180.9295080.009836
[6.5,7[6.7590.0049180.9344260.009836
[7,7.5[7.2520.0010930.9355190.002186
[7.5,8[7.7530.0016390.9371580.003279
[8,8.5[8.2530.0016390.9387980.003279
[8.5,9[8.7520.0010930.9398910.002186
[9,9.5[9.2510.0005460.9404370.001093
[9.5,10[9.751080.0590160.9994540.118033
[10,10.5[10.25000.9994540
[10.5,11]10.7510.00054610.001093


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 50 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;
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,'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')
}