Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_meanversusmedian.wasp

Title produced by software

Mean versus Median

Date of computation

Mon, 04 Oct 2010 18:33:05 +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/2010/Oct/04/t1286217111ekuzg8bqtmeqhno.htm/, Retrieved Sun, 28 Apr 2024 00:38:00 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=80913, Retrieved Sun, 28 Apr 2024 00:38:00 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

114

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

F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
F RMPD    [Mean versus Median] [Task 10: Mean vs ...] [2010-10-04 18:33:05] [dfb0309aec67f282200eef05efe0d5bd] [Current]

Feedback Forum

2010-10-09 10:33:01 [e6db9a09cb3ba986d5f9cc28edcae776] [reply] 
 
Correct. Volgende had je er ook eventueel kunnen bijnoteren zijnde dat indien er sprake is van een perfecte normaalverdeling, dat de mediaan en het gemiddelde zouden moeten samenvallen. Hier blijkt dat dit niet het geval is. We hebben te maken met een rechtsscheve verdeling.
2010-10-09 11:59:33 [abfc2690eac87da053eb0d612ccdbe5b] [reply] 
De mediaan & het gemiddelde liggen inderdaad vrij dicht bij elkaar.  
 
De vergelijking tussen het gemiddelde en de mediaan kan je ook bekijken via de density plot. Hierbij zie je dat de gegevensverzameling scheef naar rechts is, dan is de mediaan dus kleiner dan het gemiddelde.
2010-10-10 18:33:05 [74fe445bf87529db3dd1409469f9e838] [reply] 
De oefening werd correct uitgevoerd door de student, er ontbrak wel een verwijzing naar de rechtsscheefheid van de verdeling.

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=80913&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=80913&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=80913&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	1 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Median versus Mean
mean	16750.2857142857
median	16441.5

\begin{tabular}{lllllllll}
\hline
Median versus Mean \tabularnewline
mean & 16750.2857142857 \tabularnewline
median & 16441.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=80913&T=1

[TABLE]
[ROW][C]Median versus Mean[/C][/ROW]
[ROW][C]mean[/C][C]16750.2857142857[/C][/ROW]
[ROW][C]median[/C][C]16441.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=80913&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=80913&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Median versus Mean
mean	16750.2857142857
median	16441.5

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

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

library(Hmisc)
m <- mean(x)
e <- median(x)
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
mydensity1 <- density(x,kernel='gaussian',na.rm=TRUE)
plot(mydensity1,main='Density Plot - Gaussian Kernel',xlab='Median (0 -> full line) | Mean (0 -> dashed line)',ylab='density')
abline(v=e,lty=1)
abline(v=m,lty=5)
grid()
myseq <- seq(0.01, 0.99, 0.01)
hd <- hdquantile(x, probs = myseq, se = TRUE, na.rm = FALSE, names = TRUE, weights=FALSE)
plot(myseq,hd,col=2,main='Harrell-Davis Quantiles',xlab='quantiles',ylab='Median (0 -> full) | Mean (0 -> dashed)')
abline(h=m,lty=5)
abline(h=e,lty=1)
grid()
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Median versus Mean',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean',header=TRUE)
a<-table.element(a,mean(x))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'median',header=TRUE)
a<-table.element(a,median(x))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code