{"id":122,"date":"2023-08-05T05:58:55","date_gmt":"2023-08-05T05:58:55","guid":{"rendered":"https:\/\/statorials.org\/tr\/sturges-kural-1\/"},"modified":"2023-08-05T05:58:55","modified_gmt":"2023-08-05T05:58:55","slug":"sturges-kural-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/sturges-kural-1\/","title":{"rendered":"Sturges&#39;in kural\u0131"},"content":{"rendered":"<p>Bu makale Sturges kural\u0131n\u0131n ne oldu\u011funu ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Ayr\u0131ca Sturges kural\u0131n\u0131n ad\u0131m ad\u0131m somut bir \u00f6rne\u011fini ve ayr\u0131ca \u00e7evrimi\u00e7i bir Sturges kural\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-regla-de-sturges\"><\/span> Sturges kural\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Sturges kural\u0131,<\/strong> bir veri setinin b\u00f6l\u00fcnmesi gereken ideal s\u0131n\u0131f veya aral\u0131k say\u0131s\u0131n\u0131 hesaplamak i\u00e7in kullan\u0131lan bir kurald\u0131r.<\/p>\n<p> <strong>Sturges kural\u0131n\u0131n form\u00fcl\u00fc,<\/strong> s\u0131n\u0131f say\u0131s\u0131n\u0131n bir art\u0131 toplam veri say\u0131s\u0131n\u0131n iki tabanl\u0131 logaritmas\u0131na e\u015fit oldu\u011funu belirtir.<\/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-698dc950acb10ce0e5c969138924f8e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c=1+\\log_2(N)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/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-276a76eafbebc4494deafceec7cc4ddd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> s\u0131n\u0131flar\u0131n veya aral\u0131klar\u0131n say\u0131s\u0131d\u0131r 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> \u00f6rnekteki toplam g\u00f6zlem say\u0131s\u0131d\u0131r. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2px dashed #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"> \u00c7o\u011fu hesap makinesi yaln\u0131zca 10 tabanl\u0131 logaritmalarla hesaplamalara izin verir. Bu durumda e\u015fde\u011fer 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-e603cacb4a44525f80831af2616a1bbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c=1+\\cfrac{\\log(N)}{\\log(2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"120\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<\/div>\n<p> Sturges kural\u0131 1926 y\u0131l\u0131nda Alman istatistik\u00e7i Herbert Sturges taraf\u0131ndan olu\u015fturuldu. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-regla-de-sturges\"><\/span> Sturges Kural\u0131 \u00d6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Art\u0131k Sturges kural\u0131n\u0131n ne oldu\u011funu bildi\u011fimize g\u00f6re, ad\u0131m ad\u0131m bir al\u0131\u015ft\u0131rma \u00e7\u00f6zerek bir veri k\u00fcmesinin aral\u0131klar\u0131n\u0131n istatistikte Sturges kural\u0131 kullan\u0131larak nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rece\u011fiz.<\/p>\n<ul>\n<li> 50 farkl\u0131 ki\u015fiden olu\u015fan \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc \u00f6l\u00e7\u00fcld\u00fc ve t\u00fcm de\u011ferler a\u015fa\u011f\u0131daki veri tablosuna kaydedildi. Veri k\u00fcmesini aral\u0131klara b\u00f6lmek i\u00e7in Sturges kural\u0131n\u0131 uygulay\u0131n, ard\u0131ndan verileri bir histogram \u00fczerine \u00e7izin. <\/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\/table-de-donnees-exemple-hauteurs-50.png\" alt=\"\" class=\"wp-image-2658\" width=\"278\" height=\"308\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u00d6ncelikle verileri aral\u0131klara ay\u0131rmam\u0131z gerekiyor. Toplamda 50 veri \u00f6\u011fesi vard\u0131r, bu nedenle Sturges kural\u0131n\u0131 \u015fu de\u011ferle kullan\u0131r\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-9929b0c8f1f7cdf5a6160c07e0205c46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}c=1+\\log_2(N)\\\\[2ex]c=1+\\log_2(50)\\\\[2ex]c=1+5,64\\\\[2ex]c=6,64\\\\[2ex]c\\approx 7\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"163\" width=\"123\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Bu nedenle verileri ay\u0131r\u0131p yedi aral\u0131\u011fa gruplamak gerekir. Art\u0131k her aral\u0131\u011f\u0131n geni\u015fli\u011fini bilmemiz gerekiyor; bunu yapmak i\u00e7in maksimum de\u011ferden minimum de\u011ferden toplam aral\u0131k say\u0131s\u0131na b\u00f6lmeniz yeterlidir:<\/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-d2262a449f1f5c4b97b56a42634f5c96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=\\cfrac{\\text{valor m\\'aximo}-\\text{valor m\\'inimo}}{c}=\\cfrac{205-145}{7}=8,57\\approx 9\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"455\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> K\u0131sacas\u0131 genli\u011fi 9 olan 7 aral\u0131k olmal\u0131d\u0131r, dolay\u0131s\u0131yla Sturges y\u00f6ntemi kullan\u0131larak hesaplanan aral\u0131klar \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-99799593eebc0e84d41d373a87702a19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[145,154)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-0462d79f704bce614d9809cae68048d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[154,163)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-5f641927f9e99b65d4110400e0b179ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[163,172)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-c72d71a970f7f0015b23148d661df394_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[172,181)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-9220265d8613852762ac5390aa753bce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[181,190)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-3a009436f79f59d54aff2e6eec655a8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[190,199)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-7c6484fb09d31cd972ce7e82c58d7832_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[199,208)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Aral\u0131klar\u0131 hesaplad\u0131ktan sonra, bir veri par\u00e7as\u0131n\u0131n her aral\u0131kta ka\u00e7 kez g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc saymam\u0131z ve frekans tablosunu olu\u015fturmam\u0131z gerekir: <\/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\/regle-de-sturges-tableau-de-frequences.png\" alt=\"\" class=\"wp-image-2664\" width=\"196\" height=\"271\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Son olarak frekans tablosundan verilerin grafi\u011fini olu\u015fturmak i\u00e7in histogram\u0131 olu\u015fturabiliriz: <\/p>\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\/histogramme-regle-sturges.png\" alt=\"Sturges kural histogram\u0131, istatistikler\" class=\"wp-image-2665\" width=\"512\" height=\"330\" srcset=\"\" sizes=\"auto, \"><\/figure>\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\/histogram\/\">histogram nas\u0131l yap\u0131l\u0131r<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-regla-de-sturges\"><\/span> Sturges Kural\u0131 Hesaplay\u0131c\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Toplam veri \u00f6rne\u011fi say\u0131s\u0131n\u0131 girin ve &#8220;Hesapla&#8221;ya t\u0131klay\u0131n, ard\u0131ndan hesap makinesi Sturges kural\u0131na g\u00f6re hesaplanan aral\u0131k say\u0131s\u0131n\u0131 d\u00f6nd\u00fcrecektir.<\/p>\n<form action=\"\" method=\"post\">\n<ul style=\"color:#1C2C92;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Toplam veri say\u0131s\u0131 = <input name=\"datos\" style=\"border:1.5px solid #1C2C92; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" placeholder=\"50\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el n\u00famero total de datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/span> <\/li>\n<\/ul>\n<div style=\"text-align:center\"><input align=\"center\" style=\"font-size:105%; border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"Hesaplamak\"><\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale Sturges kural\u0131n\u0131n ne oldu\u011funu ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Ayr\u0131ca Sturges kural\u0131n\u0131n ad\u0131m ad\u0131m somut bir \u00f6rne\u011fini ve ayr\u0131ca \u00e7evrimi\u00e7i bir Sturges kural\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 bulacaks\u0131n\u0131z. Sturges kural\u0131 nedir? Sturges kural\u0131, bir veri setinin b\u00f6l\u00fcnmesi gereken ideal s\u0131n\u0131f veya aral\u0131k say\u0131s\u0131n\u0131 hesaplamak i\u00e7in kullan\u0131lan bir kurald\u0131r. Sturges kural\u0131n\u0131n form\u00fcl\u00fc, s\u0131n\u0131f say\u0131s\u0131n\u0131n bir art\u0131 toplam [&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-122","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 Sturges kural\u0131: form\u00fcl, \u00f6rnek ve hesap makinesi<\/title>\n<meta name=\"description\" content=\"Burada Sturges kural\u0131n\u0131n ne oldu\u011funu, form\u00fcl\u00fcn\u00fcn ne oldu\u011funu, somut bir \u00f6rne\u011fi ve ayr\u0131ca Sturges kural\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 bulacaks\u0131n\u0131z.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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