<?xml version="1.0" encoding="utf-8"?><rdf:RDF  xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"  xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"  xmlns:skos="http://www.w3.org/2004/02/skos/core#"  xmlns:map="http://www.w3c.rl.ac.uk/2003/11/21-skos-mapping#"  xmlns:dct="http://purl.org/dc/terms/"  xmlns:dc="http://purl.org/dc/elements/1.1/"><skos:ConceptScheme rdf:about="https://digilab.ptb.de/dkd/refType/vocab/">  <dc:title>Metrology Database</dc:title>  <dc:creator>German Calibration Service (DKD)</dc:creator>  <dc:contributor>Thomas Krah, Daniel Hutzschenreuter, Benjamin Gloger, Muhammed-Ali Demir, Moritz Jordan</dc:contributor>  <dc:publisher>Deutscher Kalibrierdienst (German Calibration Service)</dc:publisher>  <dc:rights></dc:rights>  <dc:subject>metrology, reference types, digital calibration certificate, certificate of conformity</dc:subject>  <dc:description><![CDATA[  ]]></dc:description>  <dc:date>2023-06-19</dc:date>  <dct:modified>2026-04-10 06:58:36</dct:modified>  <dc:language>en-US</dc:language>  </skos:ConceptScheme>  <skos:Concept rdf:about="https://digilab.ptb.de/dkd/refType/vocab/skos/316"><skos:prefLabel xml:lang="en-US">standardDeviationPopulation</skos:prefLabel> <skos:definition xml:lang="en-US">standard deviation of a population of measurement results/values </skos:definition> <skos:definition xml:lang="de">Standardabweichung einer Grundgesamtheit von (Mess-)Werten </skos:definition> <skos:scopeNote xml:lang="en-US">The standard deviation is the positive square root of the variance. </skos:scopeNote> <skos:scopeNote xml:lang="de">Die Standardabweichung ist die positive Quadratwurzel der Varianz. </skos:scopeNote> <skos:scopeNote xml:lang="en-US">For the standard deviation of a population, the divisor "N" has to be used.
$s_N=\sqrt{\frac{1}{N}\sum_{i=1}^{N}(x_i-\bar{x})^2}$ </skos:scopeNote> <skos:scopeNote xml:lang="de">Für die Standardabweichung einer Grundgesamtheit ist "N" als Divisor zu benutzen.
$s_N=\sqrt{\frac{1}{N}\sum_{i=1}^{N}(x_i-\bar{x})^2}$ </skos:scopeNote> <skos:scopeNote xml:lang="en-US">A link via id/refId can be used to identify the values used to determine the standard deviation. </skos:scopeNote> <skos:scopeNote xml:lang="de">Über eine Verknüpfung per id/refId kann identifiziert werden, aus welchen Werten die Standardabweichung bestimmt wurde. </skos:scopeNote> <skos:historyNote xml:lang="en-US">2025-06-05
Created </skos:historyNote> <skos:historyNote xml:lang="en-US">
2025-06-05
Edited scsope notes 2 and 3, added markdown formula
 </skos:historyNote> <skos:example xml:lang="en-US">&lt;dcc:data&gt;
   &lt;dcc:list&gt;
      &lt;dcc:quantity id="singleValues"&gt;
         &lt;si:realXMLList&gt;
            &lt;si:valueXMLList&gt;0.5 0.6 0.7 0.8 0.9 1.0&lt;/si:valueXMLList&gt;
            &lt;si:unitXMLList&gt;\kilogram&lt;/si:unitXMLList&gt;
         &lt;/si:realXMLList&gt;
      &lt;/dcc:quantity&gt;
      &lt;dcc:quantity refType="math_standardDeviationPopulation" refId="singleValues"&gt;
         &lt;si:real&gt;
            &lt;si:value&gt;0.17078251&lt;/si:value&gt;
            &lt;si:unit&gt;\kilogram&lt;/si:unit&gt;
         &lt;/si:real&gt;
      &lt;/dcc:quantity&gt;
   &lt;/dcc:list&gt;
&lt;/dcc:data&gt; </skos:example><skos:inScheme rdf:resource="https://digilab.ptb.de/dkd/refType/vocab/"/><skos:related rdf:resource="https://digilab.ptb.de/dkd/refType/vocab/skos/18"/><skos:related rdf:resource="https://digilab.ptb.de/dkd/refType/vocab/skos/99"/><skos:related rdf:resource="https://digilab.ptb.de/dkd/refType/vocab/skos/5"/><skos:related rdf:resource="https://digilab.ptb.de/dkd/refType/vocab/skos/295"/><skos:broader rdf:resource="https://digilab.ptb.de/dkd/refType/vocab/skos/292"/>  <dct:created>2025-06-05 13:03:12</dct:created>  </skos:Concept></rdf:RDF>