{"id":137,"date":"2023-08-05T02:05:59","date_gmt":"2023-08-05T02:05:59","guid":{"rendered":"https:\/\/statorials.org\/tr\/asimetri-katsayisi\/"},"modified":"2023-08-05T02:05:59","modified_gmt":"2023-08-05T02:05:59","slug":"asimetri-katsayisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/asimetri-katsayisi\/","title":{"rendered":"Asimetri katsay\u0131s\u0131"},"content":{"rendered":"<p>Bu makalede asimetri katsay\u0131s\u0131n\u0131n ne oldu\u011fu, nas\u0131l hesapland\u0131\u011f\u0131 ve nas\u0131l yorumlanaca\u011f\u0131 anlat\u0131lmaktad\u0131r. Somut olarak istatistikte en \u00e7ok kullan\u0131lan \u00fc\u00e7 t\u00fcr asimetri katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 ke\u015ffedeceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-coeficiente-de-asimetria\"><\/span> Asimetri katsay\u0131s\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte <strong>asimetri katsay\u0131s\u0131<\/strong> , bir da\u011f\u0131l\u0131m\u0131n asimetrisini hesaplaman\u0131z\u0131 sa\u011flayan bir katsay\u0131d\u0131r. Yani \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131, bir fonksiyonun pozitif \u00e7arp\u0131k, negatif \u00e7arp\u0131k veya simetrik olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> Asimetri katsay\u0131s\u0131 ayn\u0131 zamanda <strong>asimetri indeksi<\/strong> olarak da adland\u0131r\u0131labilir.<\/p>\n<p> Bir da\u011f\u0131l\u0131m\u0131n \u00e7arp\u0131kl\u0131\u011f\u0131n\u0131n e\u011frinin \u015fekline ba\u011fl\u0131 oldu\u011funu unutmay\u0131n. Dolay\u0131s\u0131yla farkl\u0131 asimetri t\u00fcrleri \u015funlard\u0131r:<\/p>\n<ul>\n<li> <strong>Pozitif \u00e7arp\u0131kl\u0131k<\/strong> : Da\u011f\u0131l\u0131m\u0131n ortalaman\u0131n sa\u011f\u0131nda, solunda oldu\u011fundan daha farkl\u0131 de\u011ferleri vard\u0131r.<\/li>\n<li> <strong>Negatif \u00e7arp\u0131kl\u0131k<\/strong> : Da\u011f\u0131l\u0131m\u0131n ortalaman\u0131n solunda sa\u011f\u0131na g\u00f6re daha farkl\u0131 de\u011ferleri vard\u0131r.<\/li>\n<li> <strong>Simetri<\/strong> : Da\u011f\u0131l\u0131m, ortalaman\u0131n solunda ve sa\u011f\u0131nda ayn\u0131 say\u0131da de\u011fere sahiptir. <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/statistiques-types-dasymetrie.png\" alt=\"asimetri t\u00fcrleri\" class=\"wp-image-2983\" width=\"648\" height=\"196\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Temel olarak duruma ba\u011fl\u0131 olarak \u00fc\u00e7 tip asimetri katsay\u0131s\u0131 kullan\u0131l\u0131r: Fisher katsay\u0131s\u0131, Pearson katsay\u0131s\u0131 ve Bowley katsay\u0131s\u0131. Her bir \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u015fa\u011f\u0131da ayr\u0131nt\u0131l\u0131 olarak a\u00e7\u0131klanmaktad\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-asimetria-de-fisher\"><\/span> Fisher&#8217;in asimetri katsay\u0131s\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Fisher&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131, ortalamaya g\u00f6re \u00fc\u00e7\u00fcnc\u00fc momentin numune standart sapmas\u0131na b\u00f6l\u00fcnmesine e\u015fittir. Bu nedenle <strong>Fisher&#8217;in asimetri katsay\u0131s\u0131n\u0131n form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir:<\/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-224ee5bd016c7e0dd70260d2e9d40c9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\mu_3}{\\sigma^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"61\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> E\u015fde\u011fer olarak, Fisher katsay\u0131s\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki iki form\u00fclden herhangi biri kullan\u0131labilir:<\/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-17fec004daa41a09c4ec2990d4dcc374_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\displaystyle \\sum_{i=1}^N\\left(x_i-\\mu\\right)^3}{N\\cdot \\sigma ^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"141\" style=\"vertical-align: -12px;\"><\/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-92f7c8482d520258f24cc0166d898d1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\operatorname{E}[X^3] - 3\\mu\\sigma^2 - \\mu^3}{\\sigma^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"188\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Alt\u0131n<\/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-638a7387bd72763290cc777a9b509c38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> matematiksel beklenti,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> aritmetik ortalama,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> standart sapma ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> toplam veri say\u0131s\u0131.<\/p>\n<p> \u00d6te yandan veriler grupland\u0131r\u0131lm\u0131\u015fsa a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabilirsiniz:<\/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-5c26470126d254018437efec48228b8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\displaystyle \\sum_{i=1}^N\\left(x_i-\\mu\\right)^3\\cdot f_i}{N\\cdot \\sigma ^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"167\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Bu durumda nerede<\/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-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> Bu s\u0131n\u0131f i\u015faretidir ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fcb89ec1b112c79bfb56f1c210f6bb67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f_i\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> kursun mutlak s\u0131kl\u0131\u011f\u0131.<\/p>\n<p> De\u011feri hesapland\u0131ktan sonra Fisher asimetri katsay\u0131s\u0131n\u0131n yorumu \u015fu \u015fekildedir:<\/p>\n<ul>\n<li> Fisher&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131 pozitif ise da\u011f\u0131l\u0131m pozitif \u00e7arp\u0131kt\u0131r.<\/li>\n<li> Fisher&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131 negatif ise da\u011f\u0131l\u0131m negatif \u00e7arp\u0131kt\u0131r.<\/li>\n<li> <span style=\"font-size: 1rem; font-weight: inherit;\">Da\u011f\u0131l\u0131m simetrik ise Fisher&#8217;in asimetri katsay\u0131s\u0131 s\u0131f\u0131ra e\u015fittir. Bunun tersi<\/span> do\u011fru de\u011fildir, yani Fisher katsay\u0131s\u0131n\u0131n s\u0131f\u0131r olmas\u0131 her zaman da\u011f\u0131l\u0131m\u0131n simetrik oldu\u011fu anlam\u0131na gelmez. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-asimetria-de-pearson\"><\/span> Pearson&#8217;un asimetri katsay\u0131s\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Pearson \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131, \u00f6rnek ortalama ile mod aras\u0131ndaki fark\u0131n standart sapmaya (veya standart sapmaya) b\u00f6l\u00fcnmesine e\u015fittir. <strong>Pearson asimetri katsay\u0131s\u0131n\u0131n form\u00fcl\u00fc<\/strong> bu nedenle 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-c8f46cbf70a6a496ac36355ebfd70827_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_p=\\cfrac{\\mu-Mo}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"108\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Alt\u0131n<\/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-605ba5e37ad8f2e92b2248f02c3a090f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_p\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p> Pearson katsay\u0131s\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-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> aritmetik ortalama,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-56c0033b7da6d7997aeec99c3967c421_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: 0px;\"><\/p>\n<p> moda ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> Standart sapma.<\/p>\n<p> Pearson \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131n yaln\u0131zca tek modlu bir da\u011f\u0131l\u0131m olmas\u0131, yani verilerde yaln\u0131zca bir mod olmas\u0131 durumunda hesaplanabilece\u011fini unutmay\u0131n.<\/p>\n<p> Baz\u0131 istatistik kitaplar\u0131nda Pearson \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131 mod yerine medyan kullan\u0131larak hesaplan\u0131r ancak genel olarak yukar\u0131daki form\u00fcl kullan\u0131l\u0131r.<\/p>\n<p> Pearson asimetri katsay\u0131s\u0131 hesapland\u0131ktan sonra de\u011feri a\u015fa\u011f\u0131daki kurallara g\u00f6re yorumlanmal\u0131d\u0131r:<\/p>\n<ul>\n<li> Pearson \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131n pozitif olmas\u0131 da\u011f\u0131l\u0131m\u0131n pozitif \u00e7arp\u0131k oldu\u011fu anlam\u0131na gelir.<\/li>\n<li> Pearson \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131n negatif olmas\u0131 da\u011f\u0131l\u0131m\u0131n negatif \u00e7arp\u0131k oldu\u011fu anlam\u0131na gelir.<\/li>\n<li> Pearson \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131n s\u0131f\u0131r olmas\u0131 da\u011f\u0131l\u0131m\u0131n simetrik oldu\u011fu anlam\u0131na gelir. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-asimetria-de-bowley\"><\/span> Bowley&#8217;in asimetri katsay\u0131s\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Bowley&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131,<\/strong> \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek art\u0131 birinci \u00e7eyrek eksi medyan\u0131n iki kat\u0131n\u0131n toplam\u0131n\u0131n \u00fc\u00e7\u00fcnc\u00fc ve birinci \u00e7eyrekler aras\u0131ndaki farka b\u00f6l\u00fcnmesine e\u015fittir. Dolay\u0131s\u0131yla bu asimetri katsay\u0131s\u0131n\u0131n 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-24abc41ba1a786517a247ed5fa9c3b62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_B=\\cfrac{Q_3+Q_1-2\\cdot Me}{Q_3-Q_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"187\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Alt\u0131n<\/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-2744445ab7dd299c95ac769e920ad8c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: -4px;\"><\/p>\n<p> Ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cbf298d83b612ef6bc223927f80f4431_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"21\" style=\"vertical-align: -4px;\"><\/p>\n<p> Bunlar s\u0131ras\u0131yla birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyreklerdir ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bf2deabe8920b42ebbefee4f63393db1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Me\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> da\u011f\u0131l\u0131m\u0131n medyan\u0131d\u0131r.<\/p>\n<p> Bir da\u011f\u0131l\u0131m\u0131n medyan\u0131n\u0131n ikinci \u00e7eyrekle \u00e7ak\u0131\u015ft\u0131\u011f\u0131n\u0131 hat\u0131rlay\u0131n. <\/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\/\">\u00e7eyrekler nas\u0131l bulunur<\/a><\/div>\n<p> Bowley katsay\u0131s\u0131n\u0131n yorumlanmas\u0131 \u00f6nceki iki tip asimetri katsay\u0131s\u0131yla ayn\u0131 \u015fekilde yap\u0131l\u0131r:<\/p>\n<ul>\n<li> Bowley \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131 pozitif ise da\u011f\u0131l\u0131m pozitif \u00e7arp\u0131kt\u0131r.<\/li>\n<li> Bowley&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131 negatif ise da\u011f\u0131l\u0131m negatif \u00e7arp\u0131kt\u0131r.<\/li>\n<li> Bowley&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131 s\u0131f\u0131r ise da\u011f\u0131l\u0131m simetriktir.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede asimetri katsay\u0131s\u0131n\u0131n ne oldu\u011fu, nas\u0131l hesapland\u0131\u011f\u0131 ve nas\u0131l yorumlanaca\u011f\u0131 anlat\u0131lmaktad\u0131r. Somut olarak istatistikte en \u00e7ok kullan\u0131lan \u00fc\u00e7 t\u00fcr asimetri katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 ke\u015ffedeceksiniz. Asimetri katsay\u0131s\u0131 nedir? \u0130statistikte asimetri katsay\u0131s\u0131 , bir da\u011f\u0131l\u0131m\u0131n asimetrisini hesaplaman\u0131z\u0131 sa\u011flayan bir katsay\u0131d\u0131r. Yani \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131, bir fonksiyonun pozitif \u00e7arp\u0131k, negatif \u00e7arp\u0131k veya simetrik olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r. [&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-137","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 \u00c7arp\u0131kl\u0131k katsay\u0131s\u0131 (t\u00fcrler ve form\u00fcller)<\/title>\n<meta name=\"description\" content=\"Burada \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131n ne oldu\u011funu ve farkl\u0131 \u00e7arp\u0131kl\u0131k katsay\u0131lar\u0131n\u0131n (form\u00fcllerin) nas\u0131l hesapland\u0131\u011f\u0131n\u0131 \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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