Why Gemfury?
Push, build, and install
RubyGems
npm packages
Python packages
Maven artifacts
PHP packages
Go Modules
Debian packages
RPM packages
NuGet packages
Repository URL to install this package:
|
Version:
4.4.5.dfsg-3ubuntu2 ▾
|
<HTML>
<HEAD>
<TITLE>ADEV function</TITLE>
</HEAD>
<BODY bgcolor="#FFFFFF" fgcolor="#000000">
<P><font size="+3" color="green"><B>Average deviation</B></font></P>
<P>
<TABLE border="1" cols="2" frame="box" rules="all" width="572">
<TR>
<TD width="15%" valign="top"><B>Syntax</B>:</TD>
<TD width="85%"><CODE>s = ADEV(x)</CODE><br />
<CODE>s = ADEV(w,x)</CODE></TD></TR>
</table></p>
<p>
The <code>ADEV</code> function only accepts one or two vector arguments.
If only one vector is entered, the function returns the average deviation of that vector's data. If two
vectors are entered, the first vector holds the weights and the second vector holds the data. The result is
always a scalar value.</p>
<p>
Suppose that <i>x</i> is a vector with <i>N</i> elements.</P>
<P>
A weight vector, <i>w</i>, may be entered as the first argument. The
length of <i>w</i> is assumed to also be <i>N</i>. If no weights are entered,
let <IMG WIDTH=17 HEIGHT=17 ALIGN=MIDDLE SRC="adevI01.gif"> default to
<CODE>1</CODE>, for</p>
<p>
<IMG WIDTH=98 HEIGHT=25 ALIGN=MIDDLE SRC="adevI02.gif"></p>
<p>
Define the total weight:</p>
<p>
<IMG WIDTH=108 HEIGHT=36 ALIGN=MIDDLE SRC="adevI03.gif"></p>
<P>
The mean value, <IMG WIDTH=8 HEIGHT=11 ALIGN=BOTTOM SRC="adevI04.gif"> , is
defined by</p>
<p>
<IMG WIDTH=139 HEIGHT=36 ALIGN=MIDDLE SRC="adevI05.gif"></p>
<P>
The average deviation, or mean deviation,
<IMG WIDTH=7 HEIGHT=13 ALIGN=BOTTOM SRC="adevI06.gif"> , is defined by</p>
<p>
<IMG WIDTH=187 HEIGHT=36 ALIGN=MIDDLE SRC="adevI07.gif"></p>
<p>
<font size="+1" color="green"><B>Examples</B></font></P>
<p>
Suppose <code>X = [1;2;3;4;5;6;7;8;9;10]</code>, then <code>A = ADEV(X)</code> returns scalar
<code>A</code> with the value <code>2.5</code>.</p>
<p>
Suppose <code>W = [1;1;1;5;5;5;5;1;1;1]</code>, then <code>A = ADEV(W,X)</code> returns scalar
<code>A</code> with the value <code>1.57692</code>.</p>
</BODY>
</HTML>