{"id":75,"date":"2023-08-05T18:36:18","date_gmt":"2023-08-05T18:36:18","guid":{"rendered":"https:\/\/statorials.org\/tr\/kutu-ve-biyik-grafigi-kutu-grafigi\/"},"modified":"2023-08-05T18:36:18","modified_gmt":"2023-08-05T18:36:18","slug":"kutu-ve-biyik-grafigi-kutu-grafigi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kutu-ve-biyik-grafigi-kutu-grafigi\/","title":{"rendered":"Kutu ve b\u0131y\u0131k grafi\u011fi"},"content":{"rendered":"<p>Bu makalede, kutu grafi\u011fi (veya kutu grafi\u011fi) olarak da bilinen kutu grafi\u011finin ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Bu t\u00fcr istatistiksel diyagramlar\u0131n nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 ve kutu ve b\u0131y\u0131k diyagram\u0131n\u0131n \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmas\u0131n\u0131 ve yorumunu ke\u015ffedeceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-diagrama-de-caja-y-bigotes\"><\/span> Kutu ve b\u0131y\u0131k grafi\u011fi nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Kutu grafi\u011fi<\/strong> veya <strong>kutu grafi\u011fi<\/strong> olarak da adland\u0131r\u0131lan <strong>kutu<\/strong> grafi\u011fi, \u00e7eyrekler kullanarak bir dizi istatistiksel veriyi g\u00f6rsel olarak temsil eden bir grafiktir.<\/p>\n<p> Kutu ve b\u0131y\u0131k grafi\u011finin ana \u00f6zelli\u011fi, verilerin \u00e7eyreklerini, medyan\u0131n\u0131, u\u00e7 de\u011ferlerini ve ayk\u0131r\u0131 de\u011ferlerini g\u00f6sterdi\u011fi i\u00e7in bir dizi verinin da\u011f\u0131l\u0131m\u0131n\u0131 h\u0131zl\u0131 bir \u015fekilde g\u00f6rselle\u015ftirmenize olanak sa\u011flamas\u0131d\u0131r.<\/p>\n<p> Dolay\u0131s\u0131yla, bu t\u00fcr bir diyagram, dikd\u00f6rtgen bir kutu ve a\u015fa\u011f\u0131daki de\u011ferlerin ortaya \u00e7\u0131kt\u0131\u011f\u0131 birka\u00e7 \u00e7izgiden (veya b\u0131y\u0131ktan) olu\u015fur:<\/p>\n<ul>\n<li> Kutunun s\u0131n\u0131rlar\u0131 <strong>birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrekleri<\/strong> (Q <sub>1<\/sub> ve Q <sub>3<\/sub> ) g\u00f6sterir. Ve kutunun i\u00e7indeki dikey \u00e7izgi <strong>medyand\u0131r<\/strong> (ikinci \u00e7eyrek <sub>Q2&#8217;ye<\/sub> e\u015fde\u011ferdir).<\/li>\n<li> B\u0131y\u0131klar\u0131n (veya kollar\u0131n) s\u0131n\u0131rlar\u0131 <strong>u\u00e7 de\u011ferlerdir<\/strong> , yani veri serisinin minimum de\u011feri ve maksimum de\u011feridir.<\/li>\n<li> B\u0131y\u0131klar\u0131n d\u0131\u015f\u0131ndaki noktalar <strong>ayk\u0131r\u0131<\/strong> de\u011ferlerdir, yani muhtemelen yanl\u0131\u015f \u00f6l\u00e7\u00fclm\u00fc\u015f olan <em>ve<\/em> bu nedenle istatistiksel \u00e7al\u0131\u015fmada dikkate al\u0131nmamas\u0131 gereken verilerdir. <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boite-et-moustaches-plot-boxplot.png\" alt=\"kutu grafi\u011fi veya kutu grafi\u011fi\" class=\"wp-image-1500\" width=\"602\" height=\"277\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u00dc\u00e7\u00fcnc\u00fc ve birinci \u00e7eyrek aras\u0131ndaki fark\u0131n, istatistiksel da\u011f\u0131l\u0131m\u0131n ba\u015fka bir \u00f6l\u00e7\u00fcs\u00fc olan \u00e7eyrekler aras\u0131 aral\u0131k (veya \u00e7eyrekler aras\u0131 aral\u0131k) oldu\u011funa dikkat edin.<\/p>\n<p> Kutu ve b\u0131y\u0131k grafikleri say\u0131sal de\u011fi\u015fkenleri kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in \u00e7ok faydal\u0131d\u0131r. Ancak kategorik de\u011fi\u015fkenleri temsil etmeye uygun de\u011fildir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hacer-un-diagrama-de-caja-y-bigotes\"><\/span> Kutu ve B\u0131y\u0131k Grafi\u011fi Nas\u0131l Olu\u015fturulur<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir veri serisinden bir kutu ve b\u0131y\u0131k grafi\u011fi (veya kutu grafi\u011fi) olu\u015fturmak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar ger\u00e7ekle\u015ftirilmelidir:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">\u0130statistiksel veri \u00f6rneklerini s\u0131ralay\u0131n.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">\u00c7eyrekleri (Q <sub>1<\/sub> , Q <sub>2<\/sub> ve Q <sub>3<\/sub> ) hesaplay\u0131n ve bunlar\u0131 diyagramdaki kutu olarak g\u00f6sterin. Birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrekler kutunun s\u0131n\u0131rlar\u0131na kar\u015f\u0131l\u0131k gelir ve medyan\u0131 (ikinci \u00e7eyrek) temsil etmek i\u00e7in kutunun i\u00e7ine, de\u011ferinin bulundu\u011fu yere bir \u00e7izgi \u00e7izmeniz gerekir.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">\u00dc\u00e7\u00fcnc\u00fc \u00e7eyrekten birinci \u00e7eyre\u011fe e\u015fit olan \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 hesaplay\u0131n.<\/span><\/li>\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<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Form\u00fclleri a\u015fa\u011f\u0131daki gibi kabul edilebilir LI ve LS de\u011ferlerini hesaplay\u0131n:<\/span> <\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fa65081d10c959ebea2dc11aa072af66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"LI=Q_1-1,5\\cdot IQR\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"164\" style=\"vertical-align: -4px;\"><\/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-e40b2c75a622b8cc16f4c9f344ebabab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"LS=Q_3+1,5\\cdot IQR\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"167\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">LI&#8217;den k\u00fc\u00e7\u00fck veya LS&#8217;den b\u00fcy\u00fck de\u011ferler olan \u00f6rnek ayk\u0131r\u0131 de\u011ferleri belirleyin. B\u0131y\u0131k aral\u0131\u011f\u0131n\u0131n d\u0131\u015f\u0131ndaki bu de\u011ferleri noktalarla temsil edin.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">LI ve LS&#8217;nin olu\u015fturdu\u011fu aral\u0131ktaki en k\u00fc\u00e7\u00fck de\u011fer ve en b\u00fcy\u00fck de\u011fer olan u\u00e7 de\u011ferleri belirleyin ve temsil edin. Bu de\u011ferler diyagramdaki iki b\u0131y\u0131\u011f\u0131n sonunu temsil etmektedir.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-diagrama-de-caja-y-bigotes\"><\/span> Kutu ve B\u0131y\u0131k Grafi\u011fi \u00d6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Kutu ve b\u0131y\u0131k grafi\u011finin (veya kutu grafi\u011finin) tan\u0131m\u0131n\u0131 ve teorisini g\u00f6z \u00f6n\u00fcnde bulundurarak, kavram\u0131 daha iyi anlamak ve bu t\u00fcr istatistiksel grafi\u011fin nas\u0131l y\u00fcr\u00fct\u00fcld\u00fc\u011f\u00fcn\u00fc g\u00f6rmek i\u00e7in a\u015fa\u011f\u0131da somut bir \u00f6rnek bulacaks\u0131n\u0131z.<\/p>\n<ul>\n<li> A\u015fa\u011f\u0131daki istatistiksel veri setinin kutu grafi\u011fini \u00e7izin. <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-de-donnees-ordonnees-resolues.png\" alt=\"\" class=\"wp-image-1510\" width=\"360\" height=\"153\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Bu durumda veriler zaten en k\u00fc\u00e7\u00fckten en b\u00fcy\u00fc\u011fe do\u011fru s\u0131ralanm\u0131\u015ft\u0131r, dolay\u0131s\u0131yla herhangi bir de\u011fi\u015fiklik yap\u0131lmas\u0131na gerek yoktur. Aksi halde \u00f6ncelikle \u00f6rnek verileri s\u0131ralamam\u0131z gerekir.<\/p>\n<p> \u0130kinci olarak, numunenin \u00e7eyreklerini \u00e7\u0131kar\u0131yoruz: <\/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-cb06c41d2b1745e423e32e362a215782_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1=4,06\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"80\" style=\"vertical-align: -4px;\"><\/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-50a1c84fc51c11756af3dc1b07260437_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_2=4,38\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"80\" style=\"vertical-align: -4px;\"><\/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-e7f166b963a9fdc6e0a0677ae2c21861_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3=4,66\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"80\" style=\"vertical-align: -4px;\"><\/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\/ceyrekler\/\">\u00e7eyrek hesaplay\u0131c\u0131<\/a><\/div>\n<p> \u00dc\u00e7 \u00e7eyre\u011fi hesaplad\u0131ktan sonra \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131, \u00e7eyrek 3 eksi \u00e7eyrek 1&#8217;i \u00e7\u0131kararak buluruz:<\/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-f287d0b87fff4e2a44ce1b98501b938a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"IQR=Q_3-Q_1=4,66-4,06=0,6\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"289\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Art\u0131k verilerin atipik olarak kabul edildi\u011fi de\u011ferler olan LI ve LS limitlerini hesapl\u0131yoruz. Bunu yapmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fclleri kullanman\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-3e5ad3a72b3b4e8baac498c048a71bc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"LI=Q_1-1,5\\cdot IQR=4,06-1,5\\cdot 0,6=3,16\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"366\" style=\"vertical-align: -4px;\"><\/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-3c4c1e4fc8e586e9929c24f974bd84f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"LS=Q_3+1,5\\cdot IQR=4,66+1,5\\cdot 0,6=5,56\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"368\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Yani bu durumda iki ayk\u0131r\u0131 de\u011ferimiz var \u00e7\u00fcnk\u00fc 3,02, 3,16&#8217;dan k\u00fc\u00e7\u00fck ve 5,71, 5,56&#8217;dan b\u00fcy\u00fck.<\/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-c4ffd0f80e7456c53e82a80a8631b54b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Valores at\\'ipicos} =\\Bigl\\{3,02 \\ ; \\ 5,71\\Bigr\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"256\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p> Son olarak, [LI,LS] aral\u0131\u011f\u0131ndaki t\u00fcm verilerin minimum ve maksimumu olan u\u00e7 de\u011ferlerin belirlenmesi kal\u0131r. Dolay\u0131s\u0131yla \u00f6rne\u011fimizde minimum de\u011fer 3,70, maksimum de\u011fer ise 4,81&#8217;dir.<\/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-c2841b3e7b5a96477de00d8f29029ee8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{M\\'inimo}=3,70\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"118\" style=\"vertical-align: -4px;\"><\/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-9fe4be60a5f693a7ea8436336b4651ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{M\\'aximo}=4,81\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"120\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Yani, kutunun ve b\u0131y\u0131k grafi\u011finin t\u00fcm de\u011ferlerini belirledikten sonra geriye kalan tek \u015fey grafiksel g\u00f6sterimi yapmakt\u0131r: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-de-diagramme-en-boites-et-moustaches.png\" alt=\"kutu grafi\u011fi \u00f6rne\u011fi\" class=\"wp-image-1512\" width=\"163\" height=\"597\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"para-que-sirve-un-diagrama-de-caja-y-bigotes\"><\/span> Kutu ve b\u0131y\u0131k grafi\u011fi ne i\u00e7in kullan\u0131l\u0131r?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak bunun ne i\u015fe yarad\u0131\u011f\u0131na ve kutu ve b\u0131y\u0131k grafi\u011finin (veya kutu grafi\u011finin) nas\u0131l yorumlanaca\u011f\u0131na bakal\u0131m.<\/p>\n<p> A\u00e7\u0131k\u00e7as\u0131, kutu ve b\u0131y\u0131k grafi\u011fi, bir veri serisinin \u00e7eyreklerini, \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131, medyan\u0131n\u0131, u\u00e7 de\u011ferlerini ve ayk\u0131r\u0131 de\u011ferlerini h\u0131zl\u0131 bir \u015fekilde bilmek i\u00e7in \u00e7ok faydal\u0131d\u0131r, \u00e7\u00fcnk\u00fc t\u00fcm bu istatistiksel \u00f6l\u00e7\u00fcmler basit bir bak\u0131\u015fla tan\u0131mlanabilir.<\/p>\n<p> Ek olarak, t\u00fcm veri setini g\u00f6rsel olarak temsil etti\u011finden istatistiksel numunenin simetrisini analiz etmek i\u00e7in kutu ve b\u0131y\u0131k grafi\u011fi kullan\u0131l\u0131r. Ortanca kutunun ortas\u0131nda de\u011filse bu, numunenin simetrik olmad\u0131\u011f\u0131 anlam\u0131na gelir.<\/p>\n<p> Benzer \u015fekilde, k\u0131sa bir s\u00fcre i\u00e7inde maksimum de\u011fer, minimum de\u011fer ve ara de\u011ferlerin g\u00f6r\u00fclmesine olanak tan\u0131d\u0131\u011f\u0131ndan, bir hisse senedinin belirli bir s\u00fcre i\u00e7indeki fiyat\u0131ndaki de\u011fi\u015fimi temsil etmek i\u00e7in borsada kutu grafikleri yayg\u0131n olarak kullan\u0131lmaktad\u0131r. zaman kazan\u0131r ve b\u00f6ylece daha h\u0131zl\u0131 kararlar al\u0131rs\u0131n\u0131z.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede, kutu grafi\u011fi (veya kutu grafi\u011fi) olarak da bilinen kutu grafi\u011finin ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Bu t\u00fcr istatistiksel diyagramlar\u0131n nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 ve kutu ve b\u0131y\u0131k diyagram\u0131n\u0131n \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmas\u0131n\u0131 ve yorumunu ke\u015ffedeceksiniz. Kutu ve b\u0131y\u0131k grafi\u011fi nedir? Kutu grafi\u011fi veya kutu grafi\u011fi olarak da adland\u0131r\u0131lan kutu grafi\u011fi, \u00e7eyrekler kullanarak bir dizi istatistiksel veriyi g\u00f6rsel olarak [&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-75","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 Kutu ve b\u0131y\u0131k grafi\u011fi (kutu grafi\u011fi)<\/title>\n<meta name=\"description\" content=\"Kutu ve b\u0131y\u0131k grafi\u011fi (veya kutu grafi\u011fi) nedir, nas\u0131l yap\u0131l\u0131r ve nas\u0131l yorumlan\u0131r. 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