{"tema_id":"316","string":"standardDeviationPopulation","created":"2025-06-05 13:03:12","code":null,"notes":[{"@type":"Definition note","@lang":"en-US","@value":"standard deviation of a population of measurement results\/values "},{"@type":"Definition note","@lang":"de","@value":"Standardabweichung einer Grundgesamtheit von (Mess-)Werten "},{"@type":"Scope note","@lang":"en-US","@value":"The standard deviation is the positive square root of the variance. "},{"@type":"Scope note","@lang":"de","@value":"Die Standardabweichung ist die positive Quadratwurzel der Varianz. "},{"@type":"Scope note","@lang":"en-US","@value":"For the standard deviation of a population, the divisor \"N\" has to be used.\n$s_N=\\sqrt{\\frac{1}{N}\\sum_{i=1}^{N}(x_i-\\bar{x})^2}$ "},{"@type":"Scope note","@lang":"de","@value":"F\u00fcr die Standardabweichung einer Grundgesamtheit ist \"N\" als Divisor zu benutzen.\n$s_N=\\sqrt{\\frac{1}{N}\\sum_{i=1}^{N}(x_i-\\bar{x})^2}$ "},{"@type":"Scope note","@lang":"en-US","@value":"A link via id\/refId can be used to identify the values used to determine the standard deviation. "},{"@type":"Scope note","@lang":"de","@value":"\u00dcber eine Verkn\u00fcpfung per id\/refId kann identifiziert werden, aus welchen Werten die Standardabweichung bestimmt wurde. "},{"@type":"Historical note","@lang":"en-US","@value":"2025-06-05\nCreated "},{"@type":"Historical note","@lang":"en-US","@value":"\n2025-06-05\nEdited scsope notes 2 and 3, added markdown formula\n "},{"@type":"Example note","@lang":"en-US","@value":"<dcc:data>\n\u00a0 \u00a0<dcc:list>\n\u00a0 \u00a0 \u00a0 <dcc:quantity id=\"singleValues\">\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0<si:realXMLList>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <si:valueXMLList>0.5 0.6 0.7 0.8 0.9 1.0<\/si:valueXMLList>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <si:unitXMLList>\\kilogram<\/si:unitXMLList>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/si:realXMLList>\n\u00a0 \u00a0 \u00a0 <\/dcc:quantity>\n\u00a0 \u00a0 \u00a0 <dcc:quantity refType=\"math_standardDeviationPopulation\" refId=\"singleValues\">\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0<si:real>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <si:value>0.17078251<\/si:value>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <si:unit>\\kilogram<\/si:unit>\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/si:real>\n\u00a0 \u00a0 \u00a0 <\/dcc:quantity>\n\u00a0 \u00a0<\/dcc:list>\n<\/dcc:data> "}]}