{"id":297,"date":"2023-08-02T22:49:44","date_gmt":"2023-08-02T22:49:44","guid":{"rendered":"https:\/\/statorials.org\/tr\/degiskenlik-olcumleri-1\/"},"modified":"2023-08-02T22:49:44","modified_gmt":"2023-08-02T22:49:44","slug":"degiskenlik-olcumleri-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/degiskenlik-olcumleri-1\/","title":{"rendered":"De\u011fi\u015fkenlik \u00f6l\u00e7\u00fcleri"},"content":{"rendered":"<p>Bu makalede de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcmlerinin ne oldu\u011fu ve bu t\u00fcr istatistiksel \u00f6l\u00e7\u00fcmlerin ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcs\u00fcn\u00fcn tan\u0131m\u0131n\u0131, farkl\u0131 de\u011fi\u015fkenlik \u00f6l\u00e7\u00fclerinin neler oldu\u011funu ve de\u011fi\u015fkenlik \u00f6l\u00e7\u00fclerinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-medidas-de-variabilidad\"><\/span> De\u011fi\u015fkenlik \u00f6l\u00e7\u00fcleri nelerdir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>De\u011fi\u015fkenlik \u00f6l\u00e7\u00fcleri,<\/strong> bir veri k\u00fcmesinin de\u011fi\u015fkenli\u011fini g\u00f6steren istatistiksel \u00f6l\u00e7\u00fclerdir. Ba\u015fka bir deyi\u015fle de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcmleri bir veri serisinin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7er.<\/p>\n<p> Bu nedenle bir numunedeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 bilmek i\u00e7in de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcleri kullan\u0131l\u0131r. De\u011fi\u015fkenlik \u00f6l\u00e7\u00fcs\u00fcn\u00fcn de\u011feri ne kadar y\u00fcksek olursa, \u00f6rneklemdeki verilerin birbirinden daha uzak oldu\u011fu anlam\u0131na gelir. Genel olarak veri \u00f6rneklerinin birbirine yak\u0131n olmas\u0131 \u00f6nemlidir, bu nedenle normalde de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcmlerini en aza indirmeye \u00e7al\u0131\u015f\u0131r\u0131z.<\/p>\n<p> \u0130statistikte de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcmleri \u00f6nemlidir \u00e7\u00fcnk\u00fc veri seti \u00fczerindeki <a href=\"https:\/\/statorials.org\/tr\/merkezi-egilim-olculeri\/\">merkezile\u015ftirme \u00f6nleminin<\/a> temsil edilebilirli\u011fini bilmemize olanak tan\u0131rlar. De\u011fi\u015fkenlik \u00f6l\u00e7\u00fclerinin de\u011ferleri d\u00fc\u015f\u00fckse bu, verilerin \u00e7ok yo\u011fun oldu\u011fu ve dolay\u0131s\u0131yla merkezile\u015ftirme \u00f6l\u00e7\u00fclerinin t\u00fcm veriyi iyi tan\u0131mlad\u0131\u011f\u0131 anlam\u0131na gelir.<\/p>\n<p> De\u011fi\u015fkenlik \u00f6l\u00e7\u00fclerine <strong>da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcleri<\/strong> veya <strong>yay\u0131lma \u00f6l\u00e7\u00fcleri<\/strong> de denilebilir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-medidas-de-variabilidad\"><\/span> De\u011fi\u015fkenli\u011fin \u00f6l\u00e7\u00fcleri nelerdir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>De\u011fi\u015fkenlik \u00f6l\u00e7\u00fcmleri<\/strong> a\u015fa\u011f\u0131daki gibidir:<\/p>\n<ul>\n<li> Standart sapma (veya standart sapma)<\/li>\n<li> Varyans<\/li>\n<li> De\u011fi\u015fim katsay\u0131s\u0131<\/li>\n<li> D\u00fczenli<\/li>\n<li> \u00c7eyrekler aras\u0131 aral\u0131k<\/li>\n<li> orta fark<\/li>\n<\/ul>\n<p> A\u015fa\u011f\u0131da her bir de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcs\u00fc t\u00fcr\u00fcn\u00fcn nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-estandar\"><\/span> Standart sapma<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Tipik sapma<\/strong> olarak da adland\u0131r\u0131lan <strong>standart sapma<\/strong> , veri serisindeki sapmalar\u0131n karelerinin toplam\u0131n\u0131n karek\u00f6k\u00fcn\u00fcn toplam g\u00f6zlem say\u0131s\u0131na b\u00f6l\u00fcnmesine e\u015fittir.<\/p>\n<p> Bu nedenle, bu de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcs\u00fcn\u00fcn form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-94d7422dac6b694a42e1dcd6485e681e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^N(x_i-\\overline{x})^2}{N}}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"152\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/standart-sapma-veya-standart-sapma\/\">Standart sapman\u0131n hesaplanmas\u0131na ili\u015fkin pratik \u00f6rnek<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianza\"><\/span> Varyans<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Varyans<\/strong> , toplam g\u00f6zlem say\u0131s\u0131na g\u00f6re art\u0131klar\u0131n karelerinin toplam\u0131na e\u015fittir. Dolay\u0131s\u0131yla bu de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcs\u00fcn\u00fcn form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bb29913eaa58ffb28bbc5b81d6785683_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{x}\\right)^2}{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"189\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-996ff7036e644e89f8ac379fa58d0cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> varyans\u0131n\u0131 hesaplamak istedi\u011finiz rastgele de\u011fi\u015fkendir.<\/li>\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> veri de\u011feri<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-31318c5dcb226c69e0818e5f7d2422b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> toplam g\u00f6zlem say\u0131s\u0131d\u0131r.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5b485d4231dfeb4b50ddf271c3abb0b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> rastgele de\u011fi\u015fkenin ortalamas\u0131d\u0131r<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-996ff7036e644e89f8ac379fa58d0cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> . <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/varyans\/\">Sapma hesaplamas\u0131n\u0131n \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rne\u011fi<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-variacion\"><\/span> De\u011fi\u015fim katsay\u0131s\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0130statistikte <strong>varyasyon katsay\u0131s\u0131<\/strong> , bir veri k\u00fcmesinin ortalamas\u0131na g\u00f6re da\u011f\u0131l\u0131m\u0131n\u0131 belirlemek i\u00e7in kullan\u0131lan bir de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. De\u011fi\u015fim katsay\u0131s\u0131, verinin standart sapmas\u0131n\u0131n ortalamas\u0131na b\u00f6l\u00fcnmesi ve ard\u0131ndan de\u011ferin y\u00fczde olarak ifade edilmesi i\u00e7in 100 ile \u00e7arp\u0131lmas\u0131yla hesaplan\u0131r. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0ebd63772f3bb0853b10b1996c34a5de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"CV=\\cfrac{\\sigma}{\\overline{x}}\\cdot 100\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"104\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/varyasyon-katsayisi\/\">De\u011fi\u015fim katsay\u0131s\u0131n\u0131n hesaplanmas\u0131na ili\u015fkin \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rnek<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"rango\"><\/span> D\u00fczenli<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Aral\u0131k,<\/strong> bir \u00f6rnekteki verilerin maksimum ve minimum de\u011feri aras\u0131ndaki fark\u0131 g\u00f6steren bir de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Bu nedenle, bir pop\u00fclasyonun veya istatistiksel \u00f6rneklemin kapsam\u0131n\u0131 hesaplamak i\u00e7in maksimum de\u011ferin minimum de\u011ferden \u00e7\u0131kar\u0131lmas\u0131 gerekir. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d09e48dfa9b5b1e1fbc30ac856d46166_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R=\\text{M\\'ax}-\\text{M\\'in}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"125\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/istatistiksel-aralik\/\">Menzil hesaplamas\u0131n\u0131n pratik \u00f6rne\u011fi<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"rango-intercuartil\"><\/span> \u00c7eyrekler aras\u0131 aral\u0131k<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u00c7eyrekler aras\u0131 aral\u0131k olarak da adland\u0131r\u0131lan \u00e7eyrekler aras\u0131 aral\u0131k<\/strong> <strong>,<\/strong> \u00fc\u00e7\u00fcnc\u00fc ve birinci \u00e7eyrekler aras\u0131ndaki fark\u0131 g\u00f6steren istatistiksel de\u011fi\u015fkenli\u011fin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr.<\/p>\n<p> Bu nedenle, bir istatistiksel veri setinin \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in \u00f6nce \u00fc\u00e7\u00fcnc\u00fc ve birinci \u00e7eyrekleri bulman\u0131z ve ard\u0131ndan bunlar\u0131 \u00e7\u0131karman\u0131z gerekir.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e77f65ff74b67f18e258e2a273be1d1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"IQR=Q_3-Q_1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"124\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u00c7eyrekler aras\u0131 aral\u0131\u011f\u0131n sembol\u00fc \u0130ngilizce <em>\u00e7eyrekler aras\u0131 aral\u0131ktan<\/em> gelen IQR&#8217;dir.<\/p>\n<p> Bu de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcs\u00fcn\u00fcn en avantajl\u0131 \u00f6zelliklerinden biri sa\u011flam bir istatistik olmas\u0131, yani ayk\u0131r\u0131 de\u011ferlere kar\u015f\u0131 y\u00fcksek sa\u011flaml\u0131\u011fa sahip olmas\u0131d\u0131r. \u00c7eyrekler aras\u0131 aral\u0131\u011f\u0131n hesaplanmas\u0131nda u\u00e7 de\u011ferler dikkate al\u0131nmad\u0131\u011f\u0131ndan, yeni <em>ayk\u0131r\u0131 de\u011ferlerin<\/em> ortaya \u00e7\u0131kmas\u0131 durumunda de\u011feri \u00e7ok az de\u011fi\u015fecektir. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-ceyrekler-arasi-aralik\/\">\u00c7eyrekler aras\u0131 aral\u0131\u011f\u0131n hesaplanmas\u0131na ili\u015fkin \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rnek<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-media\"><\/span> orta fark<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Ortalama<\/strong> <strong>mutlak sapma olarak da adland\u0131r\u0131lan ortalama<\/strong> sapma, mutlak sapmalar\u0131n ortalamas\u0131d\u0131r. Bu nedenle ortalama sapma, her veri \u00f6\u011fesinin aritmetik ortalamadan sapmalar\u0131n\u0131n toplam\u0131n\u0131n veri \u00f6\u011felerinin toplam say\u0131s\u0131na b\u00f6l\u00fcnmesine e\u015fittir. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a5342bcc6a35ed68ea8b5cb5da036ff1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D_{\\overline{x}}=\\cfrac{\\sum_{i=1}^N|x_i-\\overline{x}|}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"154\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/orta-fark\/\">Ortalama sapman\u0131n hesaplanmas\u0131na ili\u015fkin \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rnek<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcmlerinin ne oldu\u011fu ve bu t\u00fcr istatistiksel \u00f6l\u00e7\u00fcmlerin ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcs\u00fcn\u00fcn tan\u0131m\u0131n\u0131, farkl\u0131 de\u011fi\u015fkenlik \u00f6l\u00e7\u00fclerinin neler oldu\u011funu ve de\u011fi\u015fkenlik \u00f6l\u00e7\u00fclerinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 bulacaks\u0131n\u0131z. De\u011fi\u015fkenlik \u00f6l\u00e7\u00fcleri nelerdir? De\u011fi\u015fkenlik \u00f6l\u00e7\u00fcleri, bir veri k\u00fcmesinin de\u011fi\u015fkenli\u011fini g\u00f6steren istatistiksel \u00f6l\u00e7\u00fclerdir. Ba\u015fka bir deyi\u015fle de\u011fi\u015fkenlik \u00f6l\u00e7\u00fcmleri bir veri serisinin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7er. Bu nedenle bir [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-297","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 De\u011fi\u015fkenlik \u00f6l\u00e7\u00fcmleri<\/title>\n<meta name=\"description\" content=\"Burada de\u011fi\u015fkenlik \u00f6l\u00e7\u00fclerinin ne oldu\u011funu, ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 ve de\u011fi\u015fkenlik \u00f6l\u00e7\u00fclerinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcller) \u00f6\u011freneceksiniz.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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