<?xml version="1.0" encoding="utf-8"?><mads xmlns="http://www.loc.gov/mads/" xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.loc.gov/mads/
	mads.xsd"><authority><topic authority="https://digilab.ptb.de/dkd/refType/vocab/">standardDeviationSample</topic></authority><related type="other"><topic>ruleItemQuantity</topic></related><related type="other"><topic>ruleMeasuringEquipmentQuantity</topic></related><related type="other"><topic>ruleQuantity</topic></related><related type="other"><topic>ruleUsedMethodQuantity</topic></related><related type="broader"><topic>math</topic></related> <note xml:lang="en-US">&lt;p&gt;The standard deviation is the positive square root of the variance.&lt;/p&gt; </note> <note xml:lang="de">&lt;p&gt;Die Standardabweichung ist die positive Quadratwurzel der Varianz.&lt;/p&gt; </note> <note xml:lang="en-US">&lt;p data-sourcepos=&quot;41:1-41:73&quot;&gt;For the standard deviation of a sample, the divisor &quot;N-1&quot; has to be used.&lt;/p&gt;
&lt;p data-sourcepos=&quot;41:1-41:73&quot;&gt;$s_N=\sqrt{\frac{1}{N - 1}\sum_{i=1}^{N}(x_i-\bar{x})^2}$&lt;/p&gt;
&lt;p data-sourcepos=&quot;41:1-41:73&quot;&gt; &lt;/p&gt; </note> <note xml:lang="de">&lt;p&gt;Für die Standardabweichung einer Stichprobe ist &quot;N-1&quot; als Divisor zu benutzen.&lt;/p&gt;
&lt;p&gt;$s_N=\sqrt{\frac{1}{N - 1}\sum_{i=1}^{N}(x_i-\bar{x})^2}$&lt;/p&gt; </note> <note xml:lang="en-US">&lt;p&gt;A link via id/refId can be used to identify the values used to determine the standard deviation.&lt;/p&gt; </note> <note xml:lang="de">&lt;p&gt;Über eine Verknüpfung per id/refId kann identifiziert werden, aus welchen Werten die Standardabweichung bestimmt wurde.&lt;/p&gt; </note> <note type="history" xml:lang="en-US">&lt;div id=&quot;note_id2&quot; class=&quot;panel-body&quot;&gt;
&lt;p&gt;2025-06-05&lt;/p&gt;
&lt;p&gt;Created&lt;/p&gt;
&lt;/div&gt; </note> <note type="history" xml:lang="en-US">&lt;div id=&quot;note_id1032&quot; class=&quot;panel-body&quot;&gt;
&lt;div id=&quot;note_id1031&quot; class=&quot;panel-body&quot;&gt;
&lt;p&gt;2025-06-05&lt;/p&gt;
&lt;p&gt;Edited scsope notes 2 and 3, added markdown formula&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt; </note></mads>