{"id":2159,"date":"2023-07-23T11:06:08","date_gmt":"2023-07-23T11:06:08","guid":{"rendered":"https:\/\/statorials.org\/tr\/ornek-populasyon-varyansi-excel\/"},"modified":"2023-07-23T11:06:08","modified_gmt":"2023-07-23T11:06:08","slug":"ornek-populasyon-varyansi-excel","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ornek-populasyon-varyansi-excel\/","title":{"rendered":"Excel&#39;de \u00f6rnek ve pop\u00fclasyon de\u011fi\u015fimi nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Varyans<\/strong> , bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pop\u00fclasyon varyans\u0131n\u0131<\/strong> hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\"><strong>\u03c3 <sup>2<\/sup><\/strong> = \u03a3 (x <sub>ben<\/sub> \u2013 \u03bc) <sup>2<\/sup> \/ N<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : \u201cToplam\u201d anlam\u0131na gelen bir sembol<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc<\/strong> : N\u00fcfus ortalamas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : Pop\u00fclasyonun <sup>i&#8217;inci<\/sup> eleman\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N<\/strong> : N\u00fcfus b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek varyans\u0131n\u0131<\/strong> hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup><\/strong> = \u03a3 (x <sub>ben<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ (n-1)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span><\/strong> : \u00f6rnek ortalama<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : \u00d6rneklemin <sup>i&#8217;inci<\/sup> eleman\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : \u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Belirli bir veri k\u00fcmesi i\u00e7in \u00f6rnek varyans\u0131 ve pop\u00fclasyon varyans\u0131n\u0131 (s\u0131ras\u0131yla) h\u0131zl\u0131 bir \u015fekilde hesaplamak i\u00e7in Excel&#8217;deki <strong>VAR.S()<\/strong> ve <b>VAR.P()<\/b> form\u00fcllerini kullanabiliriz.<\/span> <strong>&nbsp;<\/strong><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler her bir fonksiyonun pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Excel&#8217;de \u00d6rnek Varyans\u0131n Hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ekran g\u00f6r\u00fcnt\u00fcs\u00fc, A s\u00fctunundaki de\u011ferlerin \u00f6rnek varyans\u0131n\u0131 hesaplamak i\u00e7in <strong>VAR.S()<\/strong> i\u015flevinin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19986 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varexcel2.png\" alt=\"\" width=\"511\" height=\"544\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rnek varyans\u0131 <strong>35.2079<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Excel&#8217;de N\u00fcfus Fark\u0131n\u0131 Hesaplama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ekran g\u00f6r\u00fcnt\u00fcs\u00fc, A s\u00fctunundaki de\u011ferlerin pop\u00fclasyon varyans\u0131n\u0131 hesaplamak i\u00e7in <strong>VAR.P()<\/strong> i\u015flevinin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19987 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varexcel3.png\" alt=\"\" width=\"517\" height=\"544\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">N\u00fcfus varyans\u0131 <strong>33.4475<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rneklem ve pop\u00fclasyon varyans\u0131n\u0131n hesaplanmas\u0131na ili\u015fkin notlar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6rneklem ve pop\u00fclasyon varyans\u0131n\u0131 hesaplarken a\u015fa\u011f\u0131dakileri akl\u0131n\u0131zda bulundurun:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00dczerinde \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z veri seti t\u00fcm pop\u00fclasyonu, yani ilgilendi\u011finiz her de\u011feri temsil ediyorsa <strong>pop\u00fclasyon varyans\u0131n\u0131<\/strong> hesaplaman\u0131z gerekir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00dczerinde \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z veri seti daha b\u00fcy\u00fck bir pop\u00fclasyondan al\u0131nan bir \u00f6rne\u011fi temsil ediyorsa <strong>\u00f6rnek varyans\u0131n\u0131<\/strong> hesaplaman\u0131z gerekir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir veri k\u00fcmesinin \u00f6rnek varyans\u0131 her zaman ayn\u0131 veri k\u00fcmesinin pop\u00fclasyon varyans\u0131ndan daha b\u00fcy\u00fck olacakt\u0131r \u00e7\u00fcnk\u00fc \u00f6rnek varyans\u0131n\u0131 hesaplarken daha fazla belirsizlik vard\u0131r, dolay\u0131s\u0131yla varyansa ili\u015fkin tahminimiz daha b\u00fcy\u00fck olacakt\u0131r.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde Excel&#8217;deki di\u011fer yay\u0131lma metriklerinin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de \u00c7eyrekler Aras\u0131 Aral\u0131k (IQR) Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/agirlikli-standart-sapma-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de A\u011f\u0131rl\u0131kl\u0131 Standart Sapma Nas\u0131l Hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/varyasyon-katsayisi-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de De\u011fi\u015fim Katsay\u0131s\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Varyans , bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin bir yoludur. Pop\u00fclasyon varyans\u0131n\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir: \u03c3 2 = \u03a3 (x ben \u2013 \u03bc) 2 \/ N Alt\u0131n: \u03a3 : \u201cToplam\u201d anlam\u0131na gelen bir sembol \u03bc : N\u00fcfus ortalamas\u0131 x i : Pop\u00fclasyonun i&#8217;inci eleman\u0131 N : N\u00fcfus b\u00fcy\u00fckl\u00fc\u011f\u00fc \u00d6rnek varyans\u0131n\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir: s 2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2159","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Excel&#039;de \u00d6rnek ve Pop\u00fclasyon Varyans\u0131 Nas\u0131l Hesaplan\u0131r?<\/title>\n<meta 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