{"id":195,"date":"2023-08-04T08:50:26","date_gmt":"2023-08-04T08:50:26","guid":{"rendered":"https:\/\/statorials.org\/tr\/aralik-genisligi-istatistikleri\/"},"modified":"2023-08-04T08:50:26","modified_gmt":"2023-08-04T08:50:26","slug":"aralik-genisligi-istatistikleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/aralik-genisligi-istatistikleri\/","title":{"rendered":"Aral\u0131k geni\u015fli\u011fi (istatistikler)"},"content":{"rendered":"<p>Bu makalede istatistikte bir aral\u0131\u011f\u0131n geni\u015fli\u011finin ne oldu\u011funu, aral\u0131\u011f\u0131n geni\u015fli\u011finin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve dahas\u0131 aral\u0131\u011f\u0131n geni\u015fli\u011fini hesaplaman\u0131n ger\u00e7ek hayattan bir \u00f6rne\u011fini \u00f6\u011freneceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-amplitud-de-un-intervalo-en-estadistica\"><\/span> \u0130statistikte aral\u0131k ne kadar geni\u015ftir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte <strong>aral\u0131k geni\u015fli\u011fi<\/strong> , bir aral\u0131k i\u00e7indeki de\u011ferlerin aral\u0131\u011f\u0131d\u0131r. Yani aral\u0131\u011f\u0131n geni\u015fli\u011fi, aral\u0131\u011f\u0131n \u00fcst s\u0131n\u0131r\u0131 ile alt s\u0131n\u0131r\u0131 aras\u0131ndaki farkt\u0131r.<\/p>\n<p> Bir aral\u0131\u011f\u0131n geni\u015fli\u011fi, aral\u0131\u011f\u0131n \u00fcst s\u0131n\u0131r\u0131ndan aral\u0131\u011f\u0131n alt s\u0131n\u0131r\u0131n\u0131n \u00e7\u0131kar\u0131lmas\u0131yla hesaplan\u0131r.<\/p>\n<p> Bu nedenle aral\u0131\u011f\u0131n geni\u015fli\u011finin form\u00fcl\u00fc \u015fu \u015fekildedir:<\/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-fb579ff7a93ba91d9db6ce282b53411a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Amplitud de intervalo}=L_s-L_i\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"252\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> burada <em>L <sub>s<\/sub><\/em> aral\u0131\u011f\u0131n \u00fcst s\u0131n\u0131r\u0131d\u0131r ve <em>L <sub>i<\/sub><\/em> aral\u0131\u011f\u0131n alt s\u0131n\u0131r\u0131d\u0131r.<\/p>\n<p> Aral\u0131\u011f\u0131n geni\u015fli\u011finin ayn\u0131 zamanda <strong>aral\u0131\u011f\u0131n b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/strong> oldu\u011fu da s\u00f6ylenebilir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-amplitud-de-un-intervalo\"><\/span> Bir aral\u0131\u011f\u0131n geni\u015fli\u011fini hesaplama \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Art\u0131k aral\u0131k geni\u015fli\u011finin tan\u0131m\u0131n\u0131 bildi\u011fimize g\u00f6re a\u015fa\u011f\u0131da bu istatistiksel \u00f6l\u00e7\u00fcm\u00fcn nas\u0131l hesapland\u0131\u011f\u0131na dair bir \u00f6rnek verilmi\u015ftir.<\/p>\n<p> Daha do\u011frusu, a\u015fa\u011f\u0131daki aral\u0131\u011f\u0131n genli\u011fini belirlemeye devam ediyoruz:<\/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-38bb6a7580e14b8e2fec3ebe37e5cbd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" [70,75)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Aral\u0131\u011f\u0131n genli\u011fini elde etmek i\u00e7in ilgili form\u00fcl\u00fc uygulamal\u0131y\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-fb579ff7a93ba91d9db6ce282b53411a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Amplitud de intervalo}=L_s-L_i\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"252\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> B\u00f6ylece, aral\u0131\u011f\u0131n geni\u015fli\u011fini bulmak i\u00e7in, \u00fcst s\u0131n\u0131r\u0131 (bu durumda 75) ile alt s\u0131n\u0131r\u0131 (70) aras\u0131ndaki fark\u0131 hesaplaman\u0131z 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-a0005a20212a141d4d40da1b5b2a6d70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Amplitud de intervalo}=75-70=5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"283\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"amplitud-y-rango-en-estadistica\"><\/span> \u0130statisti\u011fin kapsam\u0131 ve geni\u015fli\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> B\u00fcy\u00fckl\u00fck ve kapsam, benzer kavramlara at\u0131fta bulunduklar\u0131 i\u00e7in s\u0131kl\u0131kla kar\u0131\u015ft\u0131r\u0131lan iki istatistiksel terimdir. Bu b\u00f6l\u00fcmde genlik ve aral\u0131k aras\u0131ndaki fark\u0131n ne oldu\u011funu g\u00f6rece\u011fiz.<\/p>\n<p> \u0130statistikte <strong>kapsam ve aral\u0131k aras\u0131ndaki fark<\/strong> , hesaplaman\u0131n yap\u0131ld\u0131\u011f\u0131 de\u011ferlerdir. B\u00fcy\u00fckl\u00fck, bir aral\u0131\u011f\u0131n \u00fcst s\u0131n\u0131r\u0131 ile alt s\u0131n\u0131r\u0131 aras\u0131ndaki farkt\u0131r; aral\u0131k ise veri setinin maksimum de\u011feri ile minimum de\u011feri aras\u0131ndaki farkt\u0131r.<\/p>\n<p> Bu nedenle geni\u015flik tek bir aral\u0131\u011f\u0131 ifade ederken aral\u0131k t\u00fcm veri \u00f6rne\u011fi i\u00e7in hesaplan\u0131r.<\/p>\n<p> Bazen istatistiksel aral\u0131kta <em>tam kapsam<\/em> olarak da adland\u0131r\u0131l\u0131r, kafa kar\u0131\u015f\u0131kl\u0131\u011f\u0131n\u0131n da geldi\u011fi yer buras\u0131d\u0131r.<\/p>\n<p> \u0130statistiksel bir numunenin aral\u0131\u011f\u0131n\u0131 hesaplamaya ili\u015fkin bir \u00f6rne\u011fi g\u00f6rmek i\u00e7in buray\u0131 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\/istatistiksel-aralik\/\">Aral\u0131k hesaplama \u00f6rne\u011fi (istatistikler)<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede istatistikte bir aral\u0131\u011f\u0131n geni\u015fli\u011finin ne oldu\u011funu, aral\u0131\u011f\u0131n geni\u015fli\u011finin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve dahas\u0131 aral\u0131\u011f\u0131n geni\u015fli\u011fini hesaplaman\u0131n ger\u00e7ek hayattan bir \u00f6rne\u011fini \u00f6\u011freneceksiniz. \u0130statistikte aral\u0131k ne kadar geni\u015ftir? \u0130statistikte aral\u0131k geni\u015fli\u011fi , bir aral\u0131k i\u00e7indeki de\u011ferlerin aral\u0131\u011f\u0131d\u0131r. Yani aral\u0131\u011f\u0131n geni\u015fli\u011fi, aral\u0131\u011f\u0131n \u00fcst s\u0131n\u0131r\u0131 ile alt s\u0131n\u0131r\u0131 aras\u0131ndaki farkt\u0131r. Bir aral\u0131\u011f\u0131n geni\u015fli\u011fi, aral\u0131\u011f\u0131n \u00fcst s\u0131n\u0131r\u0131ndan aral\u0131\u011f\u0131n alt [&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-195","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 Aral\u0131k geni\u015fli\u011fi (istatistikler)<\/title>\n<meta name=\"description\" content=\"Burada aral\u0131k geni\u015fli\u011finin ne oldu\u011funu (istatistik), aral\u0131\u011f\u0131n geni\u015fli\u011finin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve somut bir \u00f6rnek bulacaks\u0131n\u0131z.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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