{"id":157,"date":"2023-08-04T20:08:10","date_gmt":"2023-08-04T20:08:10","guid":{"rendered":"https:\/\/statorials.org\/tr\/goreceli-frekans\/"},"modified":"2023-08-04T20:08:10","modified_gmt":"2023-08-04T20:08:10","slug":"goreceli-frekans","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/goreceli-frekans\/","title":{"rendered":"G\u00f6receli frekans"},"content":{"rendered":"<p>Bu makalede istatistikte ba\u011f\u0131l frekans\u0131n ne oldu\u011funu, ba\u011f\u0131l frekans\u0131n nas\u0131l elde edilece\u011fini ve ba\u011f\u0131l frekansla ilgili ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f iki al\u0131\u015ft\u0131rmay\u0131 \u00f6\u011freneceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-frecuencia-relativa\"><\/span> G\u00f6receli frekans nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistiklerde <strong>g\u00f6receli frekans<\/strong> , bir de\u011ferin bir veri \u00f6rne\u011finde oran veya y\u00fczde olarak ka\u00e7 kez g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc g\u00f6steren bir \u00f6l\u00e7\u00fcd\u00fcr. Daha do\u011frusu, ba\u011f\u0131l frekans, mutlak frekans\u0131n toplam veri say\u0131s\u0131na b\u00f6l\u00fcnmesine e\u015fittir.<\/p>\n<p> \u00d6rne\u011fin bir de\u011ferin mutlak frekans\u0131 15 ise ve toplamda 100 veri noktas\u0131 varsa o de\u011ferin ba\u011f\u0131l frekans\u0131 0,15&#8217;tir (15\/100=0,15).<\/p>\n<p> Genellikle <em>h <sub>i<\/sub><\/em> sembol\u00fc ba\u011f\u0131l frekans\u0131 temsil etmek i\u00e7in kullan\u0131l\u0131r. \u0130statistik camias\u0131nda hala bir fikir birli\u011fi olmamas\u0131na ra\u011fmen, ba\u015fka bir sembolle temsil edilen g\u00f6receli s\u0131kl\u0131\u011f\u0131 g\u00f6rebilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-frecuencia-relativa\"><\/span> G\u00f6receli frekans nas\u0131l hesaplan\u0131r<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> G\u00f6reli frekans, mutlak frekans\u0131n toplam veri say\u0131s\u0131na b\u00f6l\u00fcnmesine e\u015fittir. Bu nedenle ba\u011f\u0131l frekans\u0131 hesaplamak i\u00e7in \u00f6nce mutlak frekans\u0131 bulman\u0131z ve ard\u0131ndan bunu toplam g\u00f6zlem say\u0131s\u0131na b\u00f6lmeniz gerekir.<\/p>\n<p> Dolay\u0131s\u0131yla <strong>ba\u011f\u0131l frekans form\u00fcl\u00fc<\/strong> a\u015fa\u011f\u0131daki gibidir:<\/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-bd560e31bd770266915cc90afcc43fd2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h_i=\\cfrac{f_i}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"58\" 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:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec762950a25d611e8cb122d8b5b223f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> ba\u011f\u0131l frekanst\u0131r.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fcb89ec1b112c79bfb56f1c210f6bb67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f_i\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> mutlak frekanst\u0131r.<\/li>\n<li>\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> toplam veri say\u0131s\u0131d\u0131r.<\/li>\n<\/ul>\n<p> \u00d6te yandan, <strong>g\u00f6receli frekans\u0131 y\u00fczde cinsinden<\/strong> hesaplamak i\u00e7in, yani y\u00fczde olarak ifade edilen g\u00f6receli frekans\u0131 hesaplamak i\u00e7in \u00f6nceki form\u00fcl\u00fc 100 ile \u00e7arpman\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-3231783a8b050ccb792881ded09ff2ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h_i (\\%)=\\cfrac{f_i}{N}\\cdot 100\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"126\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-frecuencia-relativa\"><\/span> G\u00f6reli Frekans \u00d6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> G\u00f6receli frekans\u0131n tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra, a\u015fa\u011f\u0131da ger\u00e7ek d\u00fcnyadan iki \u00f6rnek verilmi\u015ftir; b\u00f6ylece bu t\u00fcr frekans\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rebilirsiniz. \u0130lk \u00f6rnekte ayr\u0131k bir de\u011fi\u015fkenin, ikinci \u00f6rnekte ise s\u00fcrekli bir de\u011fi\u015fkenin ba\u011f\u0131l frekans\u0131 belirlenir. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-variable-discreta\"><\/span> \u00d6rnek 1: ayr\u0131k de\u011fi\u015fken<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li> 30 ki\u015filik bir s\u0131n\u0131fta istatistik konusunda al\u0131nan notlar a\u015fa\u011f\u0131daki gibidir. Her notan\u0131n g\u00f6receli frekans\u0131 nedir? <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0b4c2aaf8375eb7531d0723aa5ef006c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5\\ 4\\ 7\\ 9\\ 10\\ 6\\ 7\\ 4\\ 8\\ 3\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"151\" style=\"vertical-align: 0px;\"><\/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-d92283243224cd8cd6067c4452a85f91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6\\ 9\\ 8\\ 5\\ 6\\ 4\\ 6\\ 2\\ 4\\ 7\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"142\" style=\"vertical-align: 0px;\"><\/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-e48f65ca1a0f947935791d6ca68469c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8\\ 9\\ 10\\ 5\\ 4\\ 3\\ 6\\ 8\\ 7\\ 5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"150\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Bu al\u0131\u015ft\u0131rmadaki de\u011fi\u015fken ayr\u0131kt\u0131r \u00e7\u00fcnk\u00fc veriler yaln\u0131zca tam say\u0131lar olabilir; bu nedenle verileri aral\u0131klar halinde grupland\u0131rmaya gerek yoktur.<\/p>\n<p> Ba\u011f\u0131l frekans\u0131 bulmak i\u00e7in \u00f6nce mutlak frekans\u0131 belirlememiz gerekir. B\u00f6ylece bir frekans tablosu olu\u015fturuyoruz ve her farkl\u0131 de\u011fer i\u00e7in mutlak frekans\u0131 hesapl\u0131yoruz: <\/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\/tableau-de-frequence-absolue.png\" alt=\"Mutlak frekans\" class=\"wp-image-3232\" width=\"208\" height=\"403\" 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\/mutlak-frekans-1\/\">mutlak frekans nas\u0131l hesaplan\u0131r<\/a><\/div>\n<p> Art\u0131k mutlak frekans\u0131 hesaplad\u0131\u011f\u0131m\u0131za g\u00f6re ba\u011f\u0131l frekans\u0131 da hesaplayabiliriz. Bunu yapmak i\u00e7in, her mutlak frekans\u0131 toplam veri say\u0131s\u0131na (30) b\u00f6lmeniz yeterlidir: <\/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\/calcul-de-frequence-relative.png\" alt=\"ba\u011f\u0131l frekans hesaplamas\u0131\" class=\"wp-image-3307\" width=\"318\" height=\"521\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Yani problemin mutlak frekans ve ba\u011f\u0131l frekans ile frekans tablosu a\u015fa\u011f\u0131daki gibidir: <\/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\/frequence-relative.png\" alt=\"g\u00f6receli frekans\" class=\"wp-image-3308\" width=\"318\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> T\u00fcm ba\u011f\u0131l frekanslar\u0131n toplam\u0131n\u0131n her zaman 1 verdi\u011fini unutmay\u0131n; aksi halde bu, baz\u0131 hesaplamalar\u0131n yanl\u0131\u015f oldu\u011fu anlam\u0131na gelir. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-variable-continua\"><\/span> \u00d6rnek 2: s\u00fcrekli de\u011fi\u015fken<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li> 20 ki\u015finin boyu \u00f6l\u00e7\u00fcld\u00fc ve a\u015fa\u011f\u0131da belirtilen sonu\u00e7lar elde edildi. Verileri aral\u0131klara ay\u0131r\u0131n ve her aral\u0131\u011f\u0131n g\u00f6receli s\u0131kl\u0131\u011f\u0131n\u0131 bulun.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dabf08a3cde1b12a0a9ded21b1de245c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1,84\\ 1,71\\ 1,75\\ 1,92\\ 1,57\\ 1,67\\ 1,94\\ 1,83\\ 1,79\\ 1,68\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"397\" 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-7c22571f0ef18923fbfb50586e3b6c29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1,54\\ 1,61\\ 1,78\\ 1,62\\ 1,89\\ 1,80\\ 1,99\\ 1,77\\ 1,70\\ 1,63\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"397\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Bu istatistiksel \u00f6rnekteki veriler ondal\u0131k say\u0131 oldu\u011fundan s\u00fcrekli bir de\u011fi\u015fkene aittir ve bu nedenle de\u011fi\u015fken herhangi bir de\u011feri alabilir. Bu nedenle, frekans hesaplamalar\u0131n\u0131 yapmadan \u00f6nce, verileri ilk olarak onda 10 genli\u011fe sahip aral\u0131klarla grupland\u0131raca\u011f\u0131z.<\/p>\n<p> Daha sonra, her aral\u0131\u011f\u0131n mutlak frekans\u0131n\u0131 i\u00e7eren bir frekans tablosu haz\u0131rl\u0131yoruz: <\/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\/donnees-du-tableau-de-frequence-absolue-regroupees-en-intervalles.png\" alt=\"Aral\u0131klar halinde grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in mutlak frekans\" class=\"wp-image-3233\" width=\"244\" height=\"264\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Mutlak frekans\u0131 bulduktan sonra, her aral\u0131\u011f\u0131n g\u00f6receli frekans\u0131n\u0131, mutlak frekans\u0131n\u0131 toplam veri say\u0131s\u0131na (20) b\u00f6lerek elde edebiliriz: <\/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\/frequence-relative-pour-les-donnees-regroupees-dans-les-intervalles.png\" alt=\"Aral\u0131klar halinde grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in g\u00f6receli frekans\" class=\"wp-image-3310\" width=\"348\" height=\"264\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"frecuencia-relativa-acumulada\"><\/span>K\u00fcm\u00fclatif ba\u011f\u0131l frekans<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ad\u0131ndan da anla\u015f\u0131laca\u011f\u0131 \u00fczere k\u00fcm\u00fclatif ba\u011f\u0131l frekans, istatistikte kullan\u0131lan ve ba\u011f\u0131l frekanstan hesaplanan bir di\u011fer frekans t\u00fcr\u00fcd\u00fcr.<\/p>\n<p> Daha kesin olarak, bir de\u011ferin <strong>k\u00fcm\u00fclatif ba\u011f\u0131l frekans\u0131<\/strong> , de\u011ferin kendisinin ba\u011f\u0131l frekans\u0131 art\u0131 t\u00fcm k\u00fc\u00e7\u00fck de\u011ferlerin ba\u011f\u0131l frekanslar\u0131n\u0131n toplam\u0131na e\u015fittir.<\/p>\n<p> K\u00fcm\u00fclatif ba\u011f\u0131l frekans\u0131n nas\u0131l elde edildi\u011fini g\u00f6rebilmeniz i\u00e7in, ilk \u00f6rnekteki veri k\u00fcmesinin k\u00fcm\u00fclatif ba\u011f\u0131l frekans\u0131 a\u015fa\u011f\u0131da hesaplanm\u0131\u015ft\u0131r: <\/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\/frequence-relative-cumulative.png\" alt=\"k\u00fcm\u00fclatif ba\u011f\u0131l frekans\" class=\"wp-image-3311\" width=\"437\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede istatistikte ba\u011f\u0131l frekans\u0131n ne oldu\u011funu, ba\u011f\u0131l frekans\u0131n nas\u0131l elde edilece\u011fini ve ba\u011f\u0131l frekansla ilgili ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f iki al\u0131\u015ft\u0131rmay\u0131 \u00f6\u011freneceksiniz. G\u00f6receli frekans nedir? \u0130statistiklerde g\u00f6receli frekans , bir de\u011ferin bir veri \u00f6rne\u011finde oran veya y\u00fczde olarak ka\u00e7 kez g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc g\u00f6steren bir \u00f6l\u00e7\u00fcd\u00fcr. Daha do\u011frusu, ba\u011f\u0131l frekans, mutlak frekans\u0131n toplam veri say\u0131s\u0131na b\u00f6l\u00fcnmesine e\u015fittir. [&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-157","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 Ba\u011f\u0131l frekans nas\u0131l hesaplan\u0131r (\u00f6rnekler)<\/title>\n<meta name=\"description\" content=\"Burada ba\u011f\u0131l frekans\u0131n ne oldu\u011funu (istatistik), ba\u011f\u0131l frekans\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve ba\u011f\u0131l frekans\u0131n ger\u00e7ek hayattan iki \u00f6rne\u011fini 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\" 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