{"term":{"id":"06670","doi":"10.1351\/goldbook.W06670","code":"W06670","status":"current","longtitle":"IUPAC Gold Book - weighted mean","title":"weighted mean","version":"2.3.3","lastupdated":"2014-02-24","definitions":[{"id":"1","text":"If in a series of observations a statistical weight(w i) is assigned to each value, a weighted mean x ̄ w can be calculated by the formula: ","links":[{"title":"statistical weight","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/D01556"}],"math":[{"meaning":null,"type":null,"alttext":"w i","latex":"w_{i}"},{"meaning":null,"type":null,"alttext":"x ̄ w","latex":"\\overline{x}_{w}"},{"meaning":null,"type":null,"alttext":"x ̄ w = ∑ w i x i ∑ w i","latex":"\\overline{x}_{w}=\\frac{\\sum w_{i}\\ x_{i}}{\\sum w_{i}}"}],"sources":["PAC, 1994, 66, 595. 'Nomenclature for the presentation of results of chemical analysis (IUPAC Recommendations 1994)' on page 599 (https:\/\/doi.org\/10.1351\/pac199466030595)"]}],"referencedin":[{"title":"Wikipedia - متوسط وزني (ar)","url":"https:\/\/ar.wikipedia.org\/wiki\/متوسط_وزني"}],"links":{"html":"https:\/\/goldbook.iupac.org\/terms\/view\/W06670\/html","json":"https:\/\/goldbook.iupac.org\/terms\/view\/W06670\/json","xml":"https:\/\/goldbook.iupac.org\/terms\/view\/W06670\/xml","plain":"https:\/\/goldbook.iupac.org\/terms\/view\/W06670\/plain","pdf":"https:\/\/goldbook.iupac.org\/terms\/view\/W06670\/pdf"},"citeas":"IUPAC. Compendium of Chemical Terminology, 2nd ed. (the \"Gold Book\"). Compiled by A. D. McNaught and A. Wilkinson. Blackwell Scientific Publications, Oxford (1997). Online version (2019-) created by S. J. Chalk. ISBN 0-9678550-9-8. https:\/\/doi.org\/10.1351\/goldbook.","license":"Licensed under Creative Commons Attribution-NoDerivatives (CC BY-NC-ND) 4.0 International (https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/)","disclaimer":"The International Union of Pure and Applied Chemistry (IUPAC) is continuously reviewing and, where needed, updating terms in the Compendium of Chemical Terminology (the IUPAC Gold Book). Users of these terms are encouraged to include the version of a term with its use and to check regularly for updates to term definitions that you are using.","accessed":"2020-08-15T07:47:53+00:00"}}