{"id":299,"date":"2023-08-02T22:13:06","date_gmt":"2023-08-02T22:13:06","guid":{"rendered":"https:\/\/statorials.org\/tr\/yari-ceyrekler-arasi-aralik\/"},"modified":"2023-08-02T22:13:06","modified_gmt":"2023-08-02T22:13:06","slug":"yari-ceyrekler-arasi-aralik","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/yari-ceyrekler-arasi-aralik\/","title":{"rendered":"Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k"},"content":{"rendered":"<p>Bu makale istatistikte yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131, \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 ve ek olarak herhangi bir veri \u00f6rne\u011finin yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in \u00e7evrimi\u00e7i bir hesap makinesi bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-rango-semi-intercuartil\"><\/span> Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k<\/strong> (veya <strong>yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k<\/strong> ), birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrekler aras\u0131ndaki fark\u0131n yar\u0131s\u0131d\u0131r. Bu nedenle, yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 hesaplamak i\u00e7in \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrekten birinci \u00e7eyrekten \u00e7\u0131kar\u0131l\u0131p ikiye b\u00f6l\u00fcnmeniz gerekir.<\/p>\n<p> Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k, merkezi de\u011ferlerin de\u011fi\u015fkenli\u011fini g\u00f6steren bir da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Yani bir veri setinin yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 ne kadar b\u00fcy\u00fck olursa, merkezdeki de\u011ferler birbirine g\u00f6re o kadar da\u011f\u0131n\u0131k olur.<\/p>\n<p> Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n \u00f6zelliklerinden biri, sa\u011flam bir istatistiksel parametre olmas\u0131d\u0131r, dolay\u0131s\u0131yla ayk\u0131r\u0131 <a href=\"https:\/\/statorials.org\/tr\/aykiri-degerler\/\">de\u011ferler<\/a> yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 etkilemez.<\/p>\n<p> Dolay\u0131s\u0131yla yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k, istatistiksel aral\u0131\u011fa benzer bir da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fcd\u00fcr, \u00e7\u00fcnk\u00fc iki \u00e7eyreklik de\u011ferin \u00e7\u0131kar\u0131lmas\u0131yla bir veri k\u00fcmesinin de\u011fi\u015fkenli\u011fini g\u00f6sterir. Ancak <a href=\"https:\/\/statorials.org\/tr\/istatistiksel-aralik\/\">istatistiksel aral\u0131k<\/a> biraz farkl\u0131 hesaplan\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-rango-semi-intercuartil\"><\/span> Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k, \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek ile birinci \u00e7eyrek aras\u0131ndaki fark\u0131n ikiye b\u00f6l\u00fcnmesine e\u015fittir. Bu nedenle yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 hesaplamak i\u00e7in \u00f6nce birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrekleri bulman\u0131z, ard\u0131ndan bunlar\u0131 \u00e7\u0131karman\u0131z ve son olarak \u00e7\u0131karma sonucunu ikiye b\u00f6lmeniz gerekir.<\/p>\n<p> Dolay\u0131s\u0131yla <strong>yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 hesaplama form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/formule-dintervalle-semi-interquartile.png\" alt=\"yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k form\u00fcl\u00fc\" class=\"wp-image-6283\" width=\"277\" height=\"170\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud83d\udc49Herhangi <u style=\"text-decoration-color:#FF8A05;\">bir veri setinin \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesap makinesini kullanabilirsiniz.<\/u><\/p>\n<p> Genel olarak, yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 temsil etmek i\u00e7in, bu istatistiksel \u00f6l\u00e7\u00fcn\u00fcn sembol\u00fc olarak genellikle SIR ( <em>Yar\u0131 \u00c7eyrekler Aral\u0131\u011f\u0131<\/em> ) k\u0131saltmas\u0131 kullan\u0131l\u0131r.<\/p>\n<p> K\u0131sacas\u0131 yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k, <a href=\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-ceyrekler-arasi-aralik\/\">\u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n<\/a> yar\u0131s\u0131d\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-del-rango-semi-intercuartil\"><\/span> Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 hesaplama \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fc g\u00f6rd\u00fckten sonra, a\u015fa\u011f\u0131da yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 net bir \u015fekilde a\u00e7\u0131klayan somut bir \u00f6rnek verilmi\u015ftir.<\/p>\n<ul>\n<li> Bir \u015firkete yat\u0131r\u0131m yapman\u0131n iyi bir fikir olup olmad\u0131\u011f\u0131n\u0131 istatistiksel olarak analiz etmek istiyoruz. Bunu yapmak i\u00e7in bu \u015firketin son 15 aydaki hisse senedi fiyat\u0131na ili\u015fkin verileri toplad\u0131k. A\u015fa\u011f\u0131daki tabloda g\u00f6zlemlenen verileri en d\u00fc\u015f\u00fckten en y\u00fckse\u011fe do\u011fru s\u0131ralanm\u0131\u015f olarak g\u00f6rebilirsiniz. Bu veri setinin \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131 hesaplay\u0131n. <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/donnees-triees.png\" alt=\"s\u0131ralanm\u0131\u015f veriler\" class=\"wp-image-1325\" width=\"333\" height=\"115\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Yukar\u0131daki b\u00f6l\u00fcmde a\u00e7\u0131kland\u0131\u011f\u0131 gibi yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 bulmak i\u00e7in \u00f6ncelikle birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrekleri belirlememiz gerekir.<\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ceyrekler\/\">\u0130lk \u00e7eyrek,<\/a> de\u011ferlerin ilk yar\u0131s\u0131n\u0131n medyan\u0131d\u0131r ve bu da hisse ba\u015f\u0131na 8,95 \u20ac de\u011ferine kar\u015f\u0131l\u0131k gelir.<\/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-3815954b70fa0aa075538f069d0c333b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1=8,95\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"79\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u00d6te yandan <a href=\"https:\/\/statorials.org\/tr\/ceyrekler\/\">\u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek<\/a> , de\u011ferlerin ikinci yar\u0131s\u0131n\u0131n orta de\u011feridir, yani hisse ba\u015f\u0131na 9,83 \u20ac.<\/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-7d36ff6abe468b37b552b31c50a8742c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3=9,83\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"80\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyreklerin de\u011ferlerini \u00f6\u011frendikten sonra, de\u011ferini bulmak i\u00e7in yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n form\u00fcl\u00fcn\u00fc uygular\u0131z: <\/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-a5a6dd9ef098ce95a4d209664b5995a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"SIR=\\cfrac{Q_3-Q_1}{2}=\\cfrac{9,83-8,95}{2}=0,44\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"300\" 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-kademe\/\">Orta seviye<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-del-rango-semi-intercuartil\"><\/span> Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k hesaplay\u0131c\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki \u00e7evrimi\u00e7i hesap makinesine bir istatistiksel veri seti girin. Veriler bir bo\u015flukla ayr\u0131lmal\u0131 ve ondal\u0131k ay\u0131r\u0131c\u0131 olarak nokta kullan\u0131larak girilmelidir. <\/p>\n<form action=\"\" method=\"post\"><textarea name=\"datos\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"3 4 9 7 2 3.4 1 5.2 11 6 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 hesaplay\u0131n\"><\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale istatistikte yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131, \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 ve ek olarak herhangi bir veri \u00f6rne\u011finin yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in \u00e7evrimi\u00e7i bir hesap makinesi bulacaks\u0131n\u0131z. Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k nedir? Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k (veya yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k ), birinci ve [&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-299","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 Yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k: form\u00fcl, \u00f6rnek ve hesap makinesi<\/title>\n<meta name=\"description\" content=\"Burada yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n ne oldu\u011funu, nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl), \u00e7al\u0131\u015f\u0131lm\u0131\u015f bir \u00f6rne\u011fi ve yar\u0131 \u00e7eyrekler aras\u0131 aral\u0131k 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