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Author

*The author of this computation has been verified*

R Software Module

rwasp_histogram.wasp

Title produced by software

Histogram

Date of computation

Thu, 03 Oct 2013 13:22:31 -0400

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/2013/Oct/03/t1380821051szdn773ejurablx.htm/, Retrieved Thu, 02 May 2024 02:32:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=212942, Retrieved Thu, 02 May 2024 02:32:31 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

137

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

-     [Univariate Data Series] [] [2013-09-22 12:11:06] [69f0adfa1a431ec50764c1a969b4d177]
- R  D  [Univariate Data Series] [] [2013-09-25 12:28:15] [b95715fc6700d6c41997a188e5ae1cae]
- RMP     [Histogram] [] [2013-09-25 12:30:41] [b95715fc6700d6c41997a188e5ae1cae]
- R P         [Histogram] [] [2013-10-03 17:22:31] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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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	2 seconds
R Server	'George Udny Yule' @ yule.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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212942&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212942&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212942&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	2 seconds
R Server	'George Udny Yule' @ yule.wessa.net

Frequency Table (Histogram)
Bins	Midpoint	Abs. Frequency	Rel. Frequency	Cumul. Rel. Freq.	Density
[103.4,103.6[	103.5	7	0.083333	0.083333	0.416667
[103.6,103.8[	103.7	4	0.047619	0.130952	0.238095
[103.8,104[	103.9	1	0.011905	0.142857	0.059524
[104,104.2[	104.1	0	0	0.142857	0
[104.2,104.4[	104.3	0	0	0.142857	0
[104.4,104.6[	104.5	0	0	0.142857	0
[104.6,104.8[	104.7	0	0	0.142857	0
[104.8,105[	104.9	0	0	0.142857	0
[105,105.2[	105.1	1	0.011905	0.154762	0.059524
[105.2,105.4[	105.3	0	0	0.154762	0
[105.4,105.6[	105.5	1	0.011905	0.166667	0.059524
[105.6,105.8[	105.7	0	0	0.166667	0
[105.8,106[	105.9	8	0.095238	0.261905	0.47619
[106,106.2[	106.1	2	0.02381	0.285714	0.119048
[106.2,106.4[	106.3	0	0	0.285714	0
[106.4,106.6[	106.5	0	0	0.285714	0
[106.6,106.8[	106.7	5	0.059524	0.345238	0.297619
[106.8,107[	106.9	2	0.02381	0.369048	0.119048
[107,107.2[	107.1	3	0.035714	0.404762	0.178571
[107.2,107.4[	107.3	8	0.095238	0.5	0.47619
[107.4,107.6[	107.5	3	0.035714	0.535714	0.178571
[107.6,107.8[	107.7	2	0.02381	0.559524	0.119048
[107.8,108[	107.9	0	0	0.559524	0
[108,108.2[	108.1	0	0	0.559524	0
[108.2,108.4[	108.3	0	0	0.559524	0
[108.4,108.6[	108.5	1	0.011905	0.571429	0.059524
[108.6,108.8[	108.7	0	0	0.571429	0
[108.8,109[	108.9	0	0	0.571429	0
[109,109.2[	109.1	0	0	0.571429	0
[109.2,109.4[	109.3	1	0.011905	0.583333	0.059524
[109.4,109.6[	109.5	10	0.119048	0.702381	0.595238
[109.6,109.8[	109.7	0	0	0.702381	0
[109.8,110[	109.9	0	0	0.702381	0
[110,110.2[	110.1	1	0.011905	0.714286	0.059524
[110.2,110.4[	110.3	8	0.095238	0.809524	0.47619
[110.4,110.6[	110.5	4	0.047619	0.857143	0.238095
[110.6,110.8[	110.7	0	0	0.857143	0
[110.8,111]	110.9	12	0.142857	1	0.714286

\begin{tabular}{lllllllll}
\hline
Frequency Table (Histogram) \tabularnewline
Bins & Midpoint & Abs. Frequency & Rel. Frequency & Cumul. Rel. Freq. & Density \tabularnewline
[103.4,103.6[ & 103.5 & 7 & 0.083333 & 0.083333 & 0.416667 \tabularnewline
[103.6,103.8[ & 103.7 & 4 & 0.047619 & 0.130952 & 0.238095 \tabularnewline
[103.8,104[ & 103.9 & 1 & 0.011905 & 0.142857 & 0.059524 \tabularnewline
[104,104.2[ & 104.1 & 0 & 0 & 0.142857 & 0 \tabularnewline
[104.2,104.4[ & 104.3 & 0 & 0 & 0.142857 & 0 \tabularnewline
[104.4,104.6[ & 104.5 & 0 & 0 & 0.142857 & 0 \tabularnewline
[104.6,104.8[ & 104.7 & 0 & 0 & 0.142857 & 0 \tabularnewline
[104.8,105[ & 104.9 & 0 & 0 & 0.142857 & 0 \tabularnewline
[105,105.2[ & 105.1 & 1 & 0.011905 & 0.154762 & 0.059524 \tabularnewline
[105.2,105.4[ & 105.3 & 0 & 0 & 0.154762 & 0 \tabularnewline
[105.4,105.6[ & 105.5 & 1 & 0.011905 & 0.166667 & 0.059524 \tabularnewline
[105.6,105.8[ & 105.7 & 0 & 0 & 0.166667 & 0 \tabularnewline
[105.8,106[ & 105.9 & 8 & 0.095238 & 0.261905 & 0.47619 \tabularnewline
[106,106.2[ & 106.1 & 2 & 0.02381 & 0.285714 & 0.119048 \tabularnewline
[106.2,106.4[ & 106.3 & 0 & 0 & 0.285714 & 0 \tabularnewline
[106.4,106.6[ & 106.5 & 0 & 0 & 0.285714 & 0 \tabularnewline
[106.6,106.8[ & 106.7 & 5 & 0.059524 & 0.345238 & 0.297619 \tabularnewline
[106.8,107[ & 106.9 & 2 & 0.02381 & 0.369048 & 0.119048 \tabularnewline
[107,107.2[ & 107.1 & 3 & 0.035714 & 0.404762 & 0.178571 \tabularnewline
[107.2,107.4[ & 107.3 & 8 & 0.095238 & 0.5 & 0.47619 \tabularnewline
[107.4,107.6[ & 107.5 & 3 & 0.035714 & 0.535714 & 0.178571 \tabularnewline
[107.6,107.8[ & 107.7 & 2 & 0.02381 & 0.559524 & 0.119048 \tabularnewline
[107.8,108[ & 107.9 & 0 & 0 & 0.559524 & 0 \tabularnewline
[108,108.2[ & 108.1 & 0 & 0 & 0.559524 & 0 \tabularnewline
[108.2,108.4[ & 108.3 & 0 & 0 & 0.559524 & 0 \tabularnewline
[108.4,108.6[ & 108.5 & 1 & 0.011905 & 0.571429 & 0.059524 \tabularnewline
[108.6,108.8[ & 108.7 & 0 & 0 & 0.571429 & 0 \tabularnewline
[108.8,109[ & 108.9 & 0 & 0 & 0.571429 & 0 \tabularnewline
[109,109.2[ & 109.1 & 0 & 0 & 0.571429 & 0 \tabularnewline
[109.2,109.4[ & 109.3 & 1 & 0.011905 & 0.583333 & 0.059524 \tabularnewline
[109.4,109.6[ & 109.5 & 10 & 0.119048 & 0.702381 & 0.595238 \tabularnewline
[109.6,109.8[ & 109.7 & 0 & 0 & 0.702381 & 0 \tabularnewline
[109.8,110[ & 109.9 & 0 & 0 & 0.702381 & 0 \tabularnewline
[110,110.2[ & 110.1 & 1 & 0.011905 & 0.714286 & 0.059524 \tabularnewline
[110.2,110.4[ & 110.3 & 8 & 0.095238 & 0.809524 & 0.47619 \tabularnewline
[110.4,110.6[ & 110.5 & 4 & 0.047619 & 0.857143 & 0.238095 \tabularnewline
[110.6,110.8[ & 110.7 & 0 & 0 & 0.857143 & 0 \tabularnewline
[110.8,111] & 110.9 & 12 & 0.142857 & 1 & 0.714286 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=212942&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][103.4,103.6[[/C][C]103.5[/C][C]7[/C][C]0.083333[/C][C]0.083333[/C][C]0.416667[/C][/ROW]
[ROW][C][103.6,103.8[[/C][C]103.7[/C][C]4[/C][C]0.047619[/C][C]0.130952[/C][C]0.238095[/C][/ROW]
[ROW][C][103.8,104[[/C][C]103.9[/C][C]1[/C][C]0.011905[/C][C]0.142857[/C][C]0.059524[/C][/ROW]
[ROW][C][104,104.2[[/C][C]104.1[/C][C]0[/C][C]0[/C][C]0.142857[/C][C]0[/C][/ROW]
[ROW][C][104.2,104.4[[/C][C]104.3[/C][C]0[/C][C]0[/C][C]0.142857[/C][C]0[/C][/ROW]
[ROW][C][104.4,104.6[[/C][C]104.5[/C][C]0[/C][C]0[/C][C]0.142857[/C][C]0[/C][/ROW]
[ROW][C][104.6,104.8[[/C][C]104.7[/C][C]0[/C][C]0[/C][C]0.142857[/C][C]0[/C][/ROW]
[ROW][C][104.8,105[[/C][C]104.9[/C][C]0[/C][C]0[/C][C]0.142857[/C][C]0[/C][/ROW]
[ROW][C][105,105.2[[/C][C]105.1[/C][C]1[/C][C]0.011905[/C][C]0.154762[/C][C]0.059524[/C][/ROW]
[ROW][C][105.2,105.4[[/C][C]105.3[/C][C]0[/C][C]0[/C][C]0.154762[/C][C]0[/C][/ROW]
[ROW][C][105.4,105.6[[/C][C]105.5[/C][C]1[/C][C]0.011905[/C][C]0.166667[/C][C]0.059524[/C][/ROW]
[ROW][C][105.6,105.8[[/C][C]105.7[/C][C]0[/C][C]0[/C][C]0.166667[/C][C]0[/C][/ROW]
[ROW][C][105.8,106[[/C][C]105.9[/C][C]8[/C][C]0.095238[/C][C]0.261905[/C][C]0.47619[/C][/ROW]
[ROW][C][106,106.2[[/C][C]106.1[/C][C]2[/C][C]0.02381[/C][C]0.285714[/C][C]0.119048[/C][/ROW]
[ROW][C][106.2,106.4[[/C][C]106.3[/C][C]0[/C][C]0[/C][C]0.285714[/C][C]0[/C][/ROW]
[ROW][C][106.4,106.6[[/C][C]106.5[/C][C]0[/C][C]0[/C][C]0.285714[/C][C]0[/C][/ROW]
[ROW][C][106.6,106.8[[/C][C]106.7[/C][C]5[/C][C]0.059524[/C][C]0.345238[/C][C]0.297619[/C][/ROW]
[ROW][C][106.8,107[[/C][C]106.9[/C][C]2[/C][C]0.02381[/C][C]0.369048[/C][C]0.119048[/C][/ROW]
[ROW][C][107,107.2[[/C][C]107.1[/C][C]3[/C][C]0.035714[/C][C]0.404762[/C][C]0.178571[/C][/ROW]
[ROW][C][107.2,107.4[[/C][C]107.3[/C][C]8[/C][C]0.095238[/C][C]0.5[/C][C]0.47619[/C][/ROW]
[ROW][C][107.4,107.6[[/C][C]107.5[/C][C]3[/C][C]0.035714[/C][C]0.535714[/C][C]0.178571[/C][/ROW]
[ROW][C][107.6,107.8[[/C][C]107.7[/C][C]2[/C][C]0.02381[/C][C]0.559524[/C][C]0.119048[/C][/ROW]
[ROW][C][107.8,108[[/C][C]107.9[/C][C]0[/C][C]0[/C][C]0.559524[/C][C]0[/C][/ROW]
[ROW][C][108,108.2[[/C][C]108.1[/C][C]0[/C][C]0[/C][C]0.559524[/C][C]0[/C][/ROW]
[ROW][C][108.2,108.4[[/C][C]108.3[/C][C]0[/C][C]0[/C][C]0.559524[/C][C]0[/C][/ROW]
[ROW][C][108.4,108.6[[/C][C]108.5[/C][C]1[/C][C]0.011905[/C][C]0.571429[/C][C]0.059524[/C][/ROW]
[ROW][C][108.6,108.8[[/C][C]108.7[/C][C]0[/C][C]0[/C][C]0.571429[/C][C]0[/C][/ROW]
[ROW][C][108.8,109[[/C][C]108.9[/C][C]0[/C][C]0[/C][C]0.571429[/C][C]0[/C][/ROW]
[ROW][C][109,109.2[[/C][C]109.1[/C][C]0[/C][C]0[/C][C]0.571429[/C][C]0[/C][/ROW]
[ROW][C][109.2,109.4[[/C][C]109.3[/C][C]1[/C][C]0.011905[/C][C]0.583333[/C][C]0.059524[/C][/ROW]
[ROW][C][109.4,109.6[[/C][C]109.5[/C][C]10[/C][C]0.119048[/C][C]0.702381[/C][C]0.595238[/C][/ROW]
[ROW][C][109.6,109.8[[/C][C]109.7[/C][C]0[/C][C]0[/C][C]0.702381[/C][C]0[/C][/ROW]
[ROW][C][109.8,110[[/C][C]109.9[/C][C]0[/C][C]0[/C][C]0.702381[/C][C]0[/C][/ROW]
[ROW][C][110,110.2[[/C][C]110.1[/C][C]1[/C][C]0.011905[/C][C]0.714286[/C][C]0.059524[/C][/ROW]
[ROW][C][110.2,110.4[[/C][C]110.3[/C][C]8[/C][C]0.095238[/C][C]0.809524[/C][C]0.47619[/C][/ROW]
[ROW][C][110.4,110.6[[/C][C]110.5[/C][C]4[/C][C]0.047619[/C][C]0.857143[/C][C]0.238095[/C][/ROW]
[ROW][C][110.6,110.8[[/C][C]110.7[/C][C]0[/C][C]0[/C][C]0.857143[/C][C]0[/C][/ROW]
[ROW][C][110.8,111][/C][C]110.9[/C][C]12[/C][C]0.142857[/C][C]1[/C][C]0.714286[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=212942&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=212942&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
[103.4,103.6[	103.5	7	0.083333	0.083333	0.416667
[103.6,103.8[	103.7	4	0.047619	0.130952	0.238095
[103.8,104[	103.9	1	0.011905	0.142857	0.059524
[104,104.2[	104.1	0	0	0.142857	0
[104.2,104.4[	104.3	0	0	0.142857	0
[104.4,104.6[	104.5	0	0	0.142857	0
[104.6,104.8[	104.7	0	0	0.142857	0
[104.8,105[	104.9	0	0	0.142857	0
[105,105.2[	105.1	1	0.011905	0.154762	0.059524
[105.2,105.4[	105.3	0	0	0.154762	0
[105.4,105.6[	105.5	1	0.011905	0.166667	0.059524
[105.6,105.8[	105.7	0	0	0.166667	0
[105.8,106[	105.9	8	0.095238	0.261905	0.47619
[106,106.2[	106.1	2	0.02381	0.285714	0.119048
[106.2,106.4[	106.3	0	0	0.285714	0
[106.4,106.6[	106.5	0	0	0.285714	0
[106.6,106.8[	106.7	5	0.059524	0.345238	0.297619
[106.8,107[	106.9	2	0.02381	0.369048	0.119048
[107,107.2[	107.1	3	0.035714	0.404762	0.178571
[107.2,107.4[	107.3	8	0.095238	0.5	0.47619
[107.4,107.6[	107.5	3	0.035714	0.535714	0.178571
[107.6,107.8[	107.7	2	0.02381	0.559524	0.119048
[107.8,108[	107.9	0	0	0.559524	0
[108,108.2[	108.1	0	0	0.559524	0
[108.2,108.4[	108.3	0	0	0.559524	0
[108.4,108.6[	108.5	1	0.011905	0.571429	0.059524
[108.6,108.8[	108.7	0	0	0.571429	0
[108.8,109[	108.9	0	0	0.571429	0
[109,109.2[	109.1	0	0	0.571429	0
[109.2,109.4[	109.3	1	0.011905	0.583333	0.059524
[109.4,109.6[	109.5	10	0.119048	0.702381	0.595238
[109.6,109.8[	109.7	0	0	0.702381	0
[109.8,110[	109.9	0	0	0.702381	0
[110,110.2[	110.1	1	0.011905	0.714286	0.059524
[110.2,110.4[	110.3	8	0.095238	0.809524	0.47619
[110.4,110.6[	110.5	4	0.047619	0.857143	0.238095
[110.6,110.8[	110.7	0	0	0.857143	0
[110.8,111]	110.9	12	0.142857	1	0.714286

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 45 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

Parameters (R input):

par1 = 45 ; par2 = grey ; par3 = FALSE ; par4 = Unknown ;

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

par4 <- 'Unknown'
par3 <- 'FALSE'
par2 <- 'grey'
par1 <- '35'
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 {
plot(mytab <- table(x),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