{"id":270,"date":"2023-08-03T08:29:13","date_gmt":"2023-08-03T08:29:13","guid":{"rendered":"https:\/\/statorials.org\/tr\/numunenin-orani\/"},"modified":"2023-08-03T08:29:13","modified_gmt":"2023-08-03T08:29:13","slug":"numunenin-orani","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/numunenin-orani\/","title":{"rendered":"\u00d6rnek oran\u0131"},"content":{"rendered":"<p>Bu makale istatistikte \u00f6rneklem oran\u0131n\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece \u00f6rnek oran\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131, \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 ve ayr\u0131ca \u00f6rnek oran\u0131 ile n\u00fcfus oran\u0131 aras\u0131ndaki fark\u0131n ne oldu\u011funu ke\u015ffedeceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-proporcion-muestral\"><\/span> \u00d6rnek oran\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u00d6rnek oran\u0131,<\/strong> bir \u00f6rneklemdeki ba\u015far\u0131l\u0131 vakalar\u0131n \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne oran\u0131d\u0131r. Bu nedenle \u00f6rneklem oran\u0131n\u0131 hesaplamak i\u00e7in \u00f6rneklemdeki ba\u015far\u0131 say\u0131s\u0131n\u0131n toplam veri say\u0131s\u0131na b\u00f6l\u00fcnmesi gerekir.<\/p>\n<p> Numune oran\u0131n\u0131n sembol\u00fc<\/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-ecd29d136a62fc6b274e1181e064e20e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/p>\n<p> \u0130statistiklerde, bir anket y\u00fcr\u00fct\u00fcl\u00fcrken genellikle n\u00fcfus verilerinin tamam\u0131 bilinmez; bu nedenle genellikle temsili bir \u00f6rnek \u00fczerinde \u00e7al\u0131\u015fma yap\u0131l\u0131r ve daha sonra \u00e7\u0131kar\u0131lan sonu\u00e7lar t\u00fcm n\u00fcfusa yans\u0131t\u0131l\u0131r. n\u00fcfus. Bu nedenle, \u00f6rneklem oran\u0131 t\u00fcm pop\u00fclasyonun oran\u0131n\u0131 tahmin etmek i\u00e7in kullan\u0131l\u0131r. A\u015fa\u011f\u0131da bunun nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6rece\u011fiz. <\/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\/temsili-ornek-1\/\">Temsili \u00f6rnekler nelerdir?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-proporcion-muestral\"><\/span> Oran Form\u00fcl\u00fc \u00d6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00d6rnek oran\u0131, \u00f6rnekteki ba\u015far\u0131l\u0131 vaka say\u0131s\u0131n\u0131n \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne b\u00f6l\u00fcnmesine e\u015fittir. Bu nedenle <strong>numune oran\u0131n\u0131 hesaplama 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-8497d73f09738f45701a70350badaacd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p}=\\cfrac{e}{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"46\" 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-ecd29d136a62fc6b274e1181e064e20e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00f6rnek oran\u0131d\u0131r.<\/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-558a73dc6903ad0c33580b0ce9f110d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"e\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rnekteki ba\u015far\u0131l\u0131 vakalar\u0131n say\u0131s\u0131d\u0131r.<\/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> \u00f6rnekteki veri \u00f6\u011felerinin toplam say\u0131s\u0131d\u0131r. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-proporcion-muestral\"><\/span> \u00d6rnek Oran Hesaplama \u00d6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bu b\u00f6l\u00fcmde \u00f6rnek oran\u0131n tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu g\u00f6rd\u00fckten sonra \u00f6rnek oran\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rebilmeniz i\u00e7in basit bir \u00f6rnek \u00e7\u00f6zece\u011fiz.<\/p>\n<ul>\n<li> Bir firma bir oyuncak \u00fcretiyor ve onun bir par\u00e7as\u0131n\u0131 d\u0131\u015far\u0131dan ba\u015fka bir firmadan sat\u0131n al\u0131yor. Ancak sat\u0131n ald\u0131\u011f\u0131 partiler i\u00e7erisinde hatal\u0131 par\u00e7alar ortaya \u00e7\u0131kt\u0131\u011f\u0131ndan, iyi durumdaki par\u00e7alar\u0131n oran\u0131n\u0131 ve kusurlu par\u00e7alar\u0131n oran\u0131n\u0131 bulmak i\u00e7in istatistiksel bir \u00e7al\u0131\u015fma yapmaya karar verir. Yani 1000 adetlik bir numune sipari\u015f ediyorsunuz ve 138 adet hatal\u0131 par\u00e7a buluyorsunuz. Numunedeki iyi durumdaki par\u00e7alar\u0131n oran\u0131 nedir? Peki numunedeki kusurlu par\u00e7alar\u0131n oran\u0131 nedir?<\/li>\n<\/ul>\n<p> Numunedeki hasars\u0131z par\u00e7alar\u0131n say\u0131s\u0131 1000 eksi kusurlu par\u00e7alar\u0131n say\u0131s\u0131d\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-eba1cfb3b37e9124aa6a8f3d61ba3023_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"e=1000-138=862\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"165\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u00d6rnek oran\u0131n\u0131 bulmak i\u00e7in yukar\u0131da g\u00f6rd\u00fc\u011f\u00fcm\u00fcz form\u00fcl\u00fc uyguluyoruz:<\/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-becf48230461723d7a4d320217ad95fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p}=\\cfrac{e}{n}=\\cfrac{862}{1000}=0,862\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"174\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla iyi durumdaki par\u00e7a \u00f6rneklerinin oran\u0131 %86,2&#8217;dir.<\/p>\n<p> \u00d6te yandan, kusurlu par\u00e7alar\u0131n oran\u0131, bir eksi iyi par\u00e7alar\u0131n oran\u0131na 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-14b45b7c5bc9fb8770efa40fac1f9e45_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{q}=1-\\widehat{p}=1-0,862=0,138\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"237\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Bu nedenle kusurlu par\u00e7alar\u0131n \u00f6rnek oran\u0131 %13,8&#8217;dir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"proporcion-muestral-y-proporcion-poblacional\"><\/span> \u00d6rnek oran\u0131 ve pop\u00fclasyon oran\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>N\u00fcfus oran\u0131<\/strong> istatistiksel n\u00fcfusun oran\u0131d\u0131r. Yani n\u00fcfus oran\u0131, incelenen bir pop\u00fclasyonun ba\u015far\u0131 durumlar\u0131n\u0131n s\u00f6z konusu pop\u00fclasyonun par\u00e7as\u0131 olan t\u00fcm unsurlarla ili\u015fkisidir.<\/p>\n<p> Bu nedenle, <strong>ulusal oran ile n\u00fcfus oran\u0131 aras\u0131ndaki fark,<\/strong> ulusal oran\u0131n \u00e7o\u011funlu\u011fun vakalar\u0131n\u0131n oran\u0131 olmas\u0131d\u0131r; de\u011fi\u015fimde n\u00fcfus oran\u0131, N\u00fcfusun t\u00fcm unsurlar\u0131na ili\u015fkin olaylar\u0131n vakalar\u0131n\u0131n oran\u0131n\u0131 ifade etmektedir.<\/p>\n<p> \u00d6rnek oran\u0131n\u0131 n\u00fcfus oran\u0131ndan ay\u0131rmak i\u00e7in farkl\u0131 sembollerle temsil edilirler. Numune oran\u0131n\u0131n sembol\u00fc<\/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-ecd29d136a62fc6b274e1181e064e20e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> n\u00fcfus oran\u0131n\u0131n simgesi ise<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5faad0904f612a3fa5b27faafb8dc903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/p>\n<p> Genelde t\u00fcm n\u00fcfus de\u011ferleri bilinmedi\u011finden n\u00fcfus oran\u0131 kesin olarak belirlenemez. Bunun yerine, n\u00fcfus oran\u0131n\u0131n de\u011feri genellikle a\u015fa\u011f\u0131daki form\u00fclle bir g\u00fcven aral\u0131\u011f\u0131 kullan\u0131larak tahmin edilir:<\/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-6517d510181870c58b167c4d9712a7a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\widehat{p}-Z_{\\alpha\/2}\\sqrt{\\frac{\\widehat{p}(1-\\widehat{p})}{n}}\\ , \\ \\widehat{p}+Z_{\\alpha\/2}\\sqrt{\\frac{\\widehat{p}(1-\\widehat{p})}{n}}\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"339\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p> N\u00fcfus oran\u0131n\u0131n nas\u0131l tahmin edildi\u011fini g\u00f6rmek i\u00e7in a\u015fa\u011f\u0131daki ba\u011flant\u0131ya t\u0131klay\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\/oranti-icin-guven-araligi\/\">N\u00fcfus oran\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-muestral-de-proporciones\"><\/span> Oranlar\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak, \u00f6rnekleme oran\u0131yla ilgili istatistiksel bir kavram oldu\u011fundan, oranlar\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n nelerden olu\u015ftu\u011funu g\u00f6rece\u011fiz.<\/p>\n<p> \u00d6ncelikle \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu tan\u0131mlayarak ba\u015flayal\u0131m. <strong>\u00d6rnekleme da\u011f\u0131l\u0131m\u0131,<\/strong> istatistiksel bir pop\u00fclasyondan olas\u0131 t\u00fcm \u00f6rneklerin dikkate al\u0131nmas\u0131ndan kaynaklanan da\u011f\u0131l\u0131md\u0131r.<\/p>\n<p> Bu nedenle, <strong>orant\u0131lar\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131<\/strong> , bir pop\u00fclasyondaki olas\u0131 her \u00f6rne\u011fin oran\u0131n\u0131n hesaplanmas\u0131ndan kaynaklanan da\u011f\u0131l\u0131md\u0131r. Yani, bir pop\u00fclasyondan olas\u0131 t\u00fcm \u00f6rnekleri incelersek ve \u00f6rneklerin her birinin oran\u0131n\u0131 hesaplarsak, hesaplanan de\u011ferler k\u00fcmesi, \u00f6rnek oranlar\u0131n\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131 olur.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale istatistikte \u00f6rneklem oran\u0131n\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece \u00f6rnek oran\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131, \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 ve ayr\u0131ca \u00f6rnek oran\u0131 ile n\u00fcfus oran\u0131 aras\u0131ndaki fark\u0131n ne oldu\u011funu ke\u015ffedeceksiniz. \u00d6rnek oran\u0131 nedir? \u00d6rnek oran\u0131, bir \u00f6rneklemdeki ba\u015far\u0131l\u0131 vakalar\u0131n \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne oran\u0131d\u0131r. Bu nedenle \u00f6rneklem oran\u0131n\u0131 hesaplamak i\u00e7in \u00f6rneklemdeki ba\u015far\u0131 say\u0131s\u0131n\u0131n toplam veri say\u0131s\u0131na b\u00f6l\u00fcnmesi gerekir. Numune [&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-270","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\u00d6rnek oran\u0131<\/title>\n<meta name=\"description\" content=\"Burada istatistiklerde \u00f6rneklem oran\u0131n\u0131n ne oldu\u011funu, \u00f6rneklem oran\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) ve somut bir \u00f6rne\u011fi bulacaks\u0131n\u0131z.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/numunenin-orani\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7\u00d6rnek oran\u0131\" \/>\n<meta property=\"og:description\" content=\"Burada istatistiklerde \u00f6rneklem oran\u0131n\u0131n ne oldu\u011funu, \u00f6rneklem oran\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) ve somut bir \u00f6rne\u011fi bulacaks\u0131n\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/numunenin-orani\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T08:29:13+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ecd29d136a62fc6b274e1181e064e20e_l3.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/numunenin-orani\/\",\"url\":\"https:\/\/statorials.org\/tr\/numunenin-orani\/\",\"name\":\"\u25b7\u00d6rnek oran\u0131\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-03T08:29:13+00:00\",\"dateModified\":\"2023-08-03T08:29:13+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada istatistiklerde \u00f6rneklem oran\u0131n\u0131n ne oldu\u011funu, \u00f6rneklem oran\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) ve somut bir \u00f6rne\u011fi bulacaks\u0131n\u0131z.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/numunenin-orani\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/numunenin-orani\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/numunenin-orani\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u00d6rnek oran\u0131\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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