{"id":69,"date":"2023-08-05T20:08:02","date_gmt":"2023-08-05T20:08:02","guid":{"rendered":"https:\/\/statorials.org\/tr\/ceyrekler\/"},"modified":"2023-08-05T20:08:02","modified_gmt":"2023-08-05T20:08:02","slug":"ceyrekler","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ceyrekler\/","title":{"rendered":"\u00c7eyrekler"},"content":{"rendered":"<p>Bu yaz\u0131da \u00e7eyreklerin ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. Her \u00e7eyre\u011fin tan\u0131m\u0131n\u0131, bunlar\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve birka\u00e7 somut \u00f6rne\u011fi bulacaks\u0131n\u0131z. Ayr\u0131ca grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in \u00e7eyreklerin nas\u0131l hesaplanaca\u011f\u0131n\u0131 da g\u00f6steriyoruz. Ek olarak, \u00e7evrimi\u00e7i bir hesap makinesiyle herhangi bir veri k\u00fcmesinin \u00e7eyreklerini hesaplayabileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-cuartiles\"><\/span> \u00c7eyrekler nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0130statistikte \u00e7eyrekler, s\u0131ral\u0131 bir veri k\u00fcmesini d\u00f6rt e\u015fit par\u00e7aya b\u00f6len \u00fc\u00e7 de\u011ferdir.<\/strong> B\u00f6ylece birinci, ikinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrekler t\u00fcm istatistiksel verilerin s\u0131ras\u0131yla %25, %50 ve %75&#8217;ini temsil etmektedir.<\/p>\n<p> \u00c7eyrekler b\u00fcy\u00fck Q ve \u00e7eyrek endeksi ile temsil edilir, dolay\u0131s\u0131yla ilk \u00e7eyrek Q <sub>1<\/sub> , ikinci \u00e7eyrek Q <sub>2<\/sub> ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek Q <sub>3&#8217;t\u00fcr<\/sub> . <\/p>\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\/quartiles-1.png\" alt=\"\u00e7eyrekler\" class=\"wp-image-1335\" width=\"188\" height=\"188\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \ud83d\udc49Herhangi <u style=\"text-decoration-color:#FF8A05;\">bir veri setinin \u00e7eyreklerini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesap makinesini kullanabilirsiniz.<\/u><\/p>\n<p> \u00c7eyrek dilimlerin, be\u015fte birlik dilimler, ondal\u0131k dilimler ve y\u00fczdelik dilimlerle ayn\u0131 \u015fekilde merkezi olmayan konumun bir \u00f6l\u00e7\u00fcs\u00fc oldu\u011funa dikkat edilmelidir. Bu nicelik t\u00fcrlerinin her birinin ne oldu\u011funu bu web sayfas\u0131ndan kontrol edebilirsiniz.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"primer-cuartil\"><\/span> ilk \u00e7eyrek<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u00c7eyrek 1 olarak da adland\u0131r\u0131lan <strong>ilk \u00e7eyrek<\/strong> , bir \u00f6rnekteki istatistiksel verilerin %25&#8217;inden b\u00fcy\u00fck olan de\u011ferdir. Ba\u015fka bir deyi\u015fle, ilk \u00e7eyrek g\u00f6zlemlenen verilerin %25&#8217;inden fazlas\u0131n\u0131 temsil ediyor.<\/p>\n<p> \u0130lk \u00e7eyrek <sub>Q1<\/sub> sembol\u00fc ile ifade edilir ve \u00f6rnekteki en k\u00fc\u00e7\u00fck veri de\u011ferlerini belirtmek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"segundo-cuartil\"><\/span> ikinci \u00e7eyrek<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0130kinci \u00e7eyrek<\/strong> , ayn\u0131 zamanda \u00e7eyrek 2 olarak da adland\u0131r\u0131l\u0131r, bir \u00f6rnekteki istatistiksel verilerin %50&#8217;sinden b\u00fcy\u00fck olan de\u011ferdir. Dolay\u0131s\u0131yla ikinci \u00e7eyrek, veri setini ikiye b\u00f6ler ve medyan ve be\u015finci ondal\u0131k dilime denk gelir.<\/p>\n<p> \u0130kinci \u00e7eyre\u011fin sembol\u00fc <sub>Q2&#8217;dir<\/sub> .<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tercer-cuartil\"><\/span> \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> 3. \u00e7eyrek olarak da adland\u0131r\u0131lan <strong>\u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek<\/strong> , bir \u00f6rneklemdeki istatistiksel verilerin %75&#8217;ini a\u015fan de\u011ferdir. Ba\u015fka bir deyi\u015fle \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek, toplanan verilerin %75&#8217;inden fazlas\u0131n\u0131 temsil ediyor.<\/p>\n<p> \u00dc\u00e7\u00fcnc\u00fc \u00e7eyrek <sub>Q3<\/sub> sembol\u00fc ile ifade edilir ve \u00f6rnekteki en b\u00fcy\u00fck de\u011ferleri temsil eder. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-los-cuartiles\"><\/span> \u00c7eyrekler nas\u0131l hesaplan\u0131r<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir istatistiksel veri k\u00fcmesindeki <strong>\u00e7eyreklerin konumunu hesaplamak<\/strong> i\u00e7in, \u00e7eyrek say\u0131s\u0131n\u0131 toplam veri say\u0131s\u0131n\u0131n toplam\u0131n\u0131n bir art\u0131s\u0131yla \u00e7arpman\u0131z ve sonucu d\u00f6rde b\u00f6lmeniz gerekir.<\/p>\n<p> Dolay\u0131s\u0131yla <strong>\u00e7eyreklerin 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-d2193deb142e070e4b6127666afe349d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k\\cdot (n+1)}{4} \\qquad k=1, 2, 3\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"189\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> <strong>L\u00fctfen unutmay\u0131n:<\/strong> Bu form\u00fcl bize \u00e7eyre\u011fin de\u011ferini de\u011fil \u00e7eyre\u011fin konumunu s\u00f6yler. \u00c7eyrek, form\u00fcl taraf\u0131ndan elde edilen konumda bulunan veriler olacakt\u0131r.<\/p>\n<p> Ancak bazen bu form\u00fcl\u00fcn sonucu bize ondal\u0131k bir say\u0131 verecektir. Bu nedenle sonucun ondal\u0131k say\u0131 olup olmamas\u0131na ba\u011fl\u0131 olarak iki durumu birbirinden ay\u0131rmam\u0131z gerekir:<\/p>\n<ul>\n<li> Form\u00fcl\u00fcn sonucu <strong>ondal\u0131k k\u0131sm\u0131 olmayan bir say\u0131<\/strong> ise \u00e7eyrek, yukar\u0131daki form\u00fcl\u00fcn sa\u011flad\u0131\u011f\u0131 konumdaki verilerdir.<\/li>\n<li> Form\u00fcl sonucu <strong>ondal\u0131k k\u0131sm\u0131 olan bir say\u0131ysa<\/strong> \u00e7eyrek de\u011feri a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131larak hesaplan\u0131r:<\/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-4af89ae2d7be917607f734400fab5a66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q=x_i+d\\cdot (x_{i+1}-x_i)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Burada <em>x <sub>i<\/sub><\/em> ve <em>x <sub>i+1,<\/sub><\/em> birinci form\u00fclle elde edilen say\u0131n\u0131n aralar\u0131nda bulundu\u011fu konumlar\u0131n say\u0131lar\u0131d\u0131r ve <em>d<\/em> , birinci form\u00fclle elde edilen say\u0131n\u0131n ondal\u0131k k\u0131sm\u0131d\u0131r.<\/p>\n<p> Belki \u00e7eyrekleri hesaplamak sizin i\u00e7in \u00e7ok karma\u015f\u0131kt\u0131r \u00e7\u00fcnk\u00fc dikkate al\u0131nmas\u0131 gereken pek \u00e7ok \u015fey vard\u0131r. Ancak bir sonraki b\u00f6l\u00fcmdeki iki \u00f6rnekte bunun asl\u0131nda ne kadar basit oldu\u011funu g\u00f6receksiniz.<\/p>\n<p> <strong>Not<\/strong> : Bilim camias\u0131nda \u00e7eyreklerin nas\u0131l hesaplanaca\u011f\u0131 konusunda bir fikir birli\u011fi yoktur, dolay\u0131s\u0131yla bunu biraz farkl\u0131 a\u00e7\u0131klayan bir istatistik kitab\u0131 bulabilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-del-calculo-de-cuartiles\"><\/span> \u00c7eyrekleri hesaplama \u00f6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00c7eyreklerin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 tam olarak anlamak i\u00e7in a\u015fa\u011f\u0131da \u00e7\u00f6z\u00fclm\u00fc\u015f iki al\u0131\u015ft\u0131rma bulacaks\u0131n\u0131z. \u0130lkinde \u00e7eyrekler tam say\u0131lard\u0131r ve ikincisinde \u00e7eyrekler ondal\u0131k say\u0131lard\u0131r, b\u00f6ylece hangi iki durumu bulabilece\u011finizi g\u00f6rebilirsiniz.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1\"><\/span> \u00f6rnek 1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li> A\u015fa\u011f\u0131daki veri setinin \u00fc\u00e7 \u00e7eyre\u011fini hesaplay\u0131n: <\/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\/donnees-triees-par-exercice.png\" alt=\"s\u0131ralanm\u0131\u015f veri al\u0131\u015ft\u0131rmas\u0131\" class=\"wp-image-1340\" width=\"360\" height=\"124\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Yukar\u0131da g\u00f6rd\u00fc\u011f\u00fcm\u00fcz gibi \u00e7eyrekleri belirleme form\u00fcl\u00fc \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-d2193deb142e070e4b6127666afe349d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k\\cdot (n+1)}{4} \\qquad k=1, 2, 3\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"189\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Bu durumda <em>n<\/em> , toplam g\u00f6zlem say\u0131s\u0131 15&#8217;tir, bu nedenle ilk \u00e7eyre\u011fi bulmak i\u00e7in <em>n&#8217;yi<\/em> 15 ve <em>k&#8217;y\u0131<\/em> 1 ile de\u011fi\u015ftirmeliyiz:<\/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-525d7a6b0788a6858779f73263241d61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1\\cdot (15+1)}{4}=4 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad Q_1=39\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"338\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Bu nedenle, ilk \u00e7eyrek, s\u0131ral\u0131 de\u011ferler listesinin d\u00f6rd\u00fcnc\u00fc konumundaki say\u0131d\u0131r; bu durumda bu say\u0131 39&#8217;dur.<\/p>\n<p> Ayn\u0131 \u015fekilde, <em>k<\/em> katsay\u0131s\u0131n\u0131 2 ile de\u011fi\u015ftirerek ikinci \u00e7eyre\u011fi hesapl\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-a657ccae0811353a24bdad5062e64638_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2\\cdot (15+1)}{4}=8 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad Q_2=48\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"338\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Bu nedenle \u00c7eyrek 2, s\u0131ralanm\u0131\u015f listedeki 48 de\u011ferine kar\u015f\u0131l\u0131k gelen sekizinci say\u0131d\u0131r.<\/p>\n<p> Son olarak \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fi hesaplamak i\u00e7in <em>k<\/em> =3 ile form\u00fcl\u00fc son bir kez uyguluyoruz:<\/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-b203db08bef8b995cc27d88fe1ab7eea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3\\cdot (15+1)}{4}=12 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad Q_3=60\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"347\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> 3. \u00e7eyrek onikinci konumdaki verilere, yani 60&#8217;a kar\u015f\u0131l\u0131k gelir.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2\"><\/span> \u00d6rnek 2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li> A\u015fa\u011f\u0131daki veri serisinin \u00fc\u00e7 \u00e7eyre\u011fini bulun: <\/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\/exercice-resolu-donnees-ordonnees.png\" alt=\"al\u0131\u015ft\u0131rma \u00e7\u00f6z\u00fcld\u00fc, veriler s\u0131raland\u0131\" class=\"wp-image-1345\" width=\"363\" height=\"154\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Bu ikinci \u00f6rnekte 24 g\u00f6zlemimiz var, dolay\u0131s\u0131yla \u00e7eyrek form\u00fcl\u00fcnden elde edilen say\u0131lar ondal\u0131k olacakt\u0131r.<\/p>\n<p> \u0130lk \u00f6nce genel form\u00fclde <em>k&#8217;yi<\/em> 1&#8217;in yerine koyarak ilk \u00e7eyre\u011fin konumunu hesapl\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-3ea73200ce65b85a2dcd542a490dbc62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k\\cdot (n+1)}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"78\" style=\"vertical-align: -12px;\"><\/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-e0e8e014de55fbf5de0c1d4635dcb4ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1\\cdot (24+1)}{4}=6,25\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"141\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Ancak 6,25 ondal\u0131k say\u0131s\u0131n\u0131 elde ettik, yani ilk \u00e7eyrek s\u0131ras\u0131yla 22 ve 25 olan alt\u0131nc\u0131 ve yedinci veriler aras\u0131nda yer al\u0131yor. Bu nedenle, tam \u00e7eyre\u011fi hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc uygulamam\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-4af89ae2d7be917607f734400fab5a66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q=x_i+d\\cdot (x_{i+1}-x_i)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Bu durumda <em>x <sub>i<\/sub><\/em> 22, <em>x <sub>i+1<\/sub><\/em> 25 ve <em>d<\/em> elde edilen say\u0131n\u0131n ondal\u0131k k\u0131sm\u0131 yani 0,25&#8217;tir. Hen\u00fcz:<\/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-26c83126191b9f9542b0df579e86a68b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1=22+0,25\\cdot (25-22)=22,75\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"269\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u015eimdi ikinci \u00e7eyre\u011fi bulmak i\u00e7in ayn\u0131 i\u015flemi yap\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-093b8ae53477db742d838b1ab0ee93de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2\\cdot (24+1)}{4}=12,5\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"141\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Yine form\u00fclden ondal\u0131k bir say\u0131 elde ederiz, bu durumda 12,5 olur. Bu nedenle veri tablosundaki 49 ve 50&#8217;ye kar\u015f\u0131l\u0131k gelen on ikinci ve on \u00fc\u00e7\u00fcnc\u00fc say\u0131lar i\u00e7in ayn\u0131 form\u00fcl\u00fc kullanmal\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-7e6d5fd78a733a7b2b9b3ff1d60ed3e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_2=49+0,5\\cdot (50-49)=49,5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"251\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Son olarak \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fi elde etmek i\u00e7in ayn\u0131 i\u015flemi tekrarl\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-606751d87fb8408c4d24828cf315a20e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3\\cdot (24+1)}{4}=18,75\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"150\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Ancak 18,75 say\u0131s\u0131 18 ile 19 aras\u0131nda oldu\u011fundan \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek bu konumlar\u0131n de\u011ferleri (71 ve 73) aras\u0131nda olacakt\u0131r. Daha do\u011frusu bu, a\u015fa\u011f\u0131daki ifadeden elde etti\u011fimiz de\u011fer olacakt\u0131r: <\/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-6c708cf7a2a699b0b92fac8936ba0b4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3=71+0,75\\cdot (73-71)=72,5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"260\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-cuartiles\"><\/span> \u00e7eyrek hesaplay\u0131c\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00c7eyrekleri hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesap makinesine bir istatistiksel veri seti tak\u0131n. 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=\"\u00e7eyrekleri hesapla\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"cuartiles-en-datos-agrupados\"><\/span> Grupland\u0131r\u0131lm\u0131\u015f verilerdeki \u00e7eyrekler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Veriler aral\u0131klar halinde grupland\u0131r\u0131ld\u0131\u011f\u0131nda \u00e7eyrekleri hesaplamak<\/strong> i\u00e7in \u00f6ncelikle a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak \u00e7eyre\u011fin d\u00fc\u015ft\u00fc\u011f\u00fc aral\u0131\u011f\u0131 veya b\u00f6lmeyi bulmam\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-d2193deb142e070e4b6127666afe349d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k\\cdot (n+1)}{4} \\qquad k=1, 2, 3\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"189\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Bu nedenle \u00e7eyrek, mutlak k\u00fcm\u00fclatif frekans\u0131 \u00f6nceki ifadeyle elde edilen say\u0131dan hemen b\u00fcy\u00fck olan aral\u0131kta olacakt\u0131r.<\/p>\n<p> \u00c7eyre\u011fin ait oldu\u011fu aral\u0131\u011f\u0131 bildi\u011fimizde, \u00e7eyre\u011fin tam de\u011ferini bulmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc uygulamam\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-f4be4b28663e22b8b50eae089f0f26f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_k=L_i+ \\cfrac{\\displaystyle\\frac{k\\cdot (n+1)}{4}-F_{i-1}}{f_i}\\cdot I_i \\qquad k=1,2,3\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"362\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Alt\u0131n:<\/p>\n<ul>\n<li> <em>L <sub>i,<\/sub><\/em> \u00e7eyre\u011fin bulundu\u011fu aral\u0131\u011f\u0131n alt s\u0131n\u0131r\u0131d\u0131r.<\/li>\n<li> <em>n<\/em> , toplam g\u00f6zlem say\u0131s\u0131d\u0131r.<\/li>\n<li> <em>F <sub>i-1<\/sub><\/em> \u00f6nceki aral\u0131\u011f\u0131n k\u00fcm\u00fclatif mutlak frekans\u0131d\u0131r.<\/li>\n<li> <em>f <sub>i,<\/sub><\/em> \u00e7eyre\u011fin bulundu\u011fu aral\u0131\u011f\u0131n mutlak frekans\u0131d\u0131r.<\/li>\n<li> <em>ben <sub>i<\/sub><\/em> \u00e7eyrek aral\u0131\u011f\u0131n\u0131n geni\u015fli\u011fidir.<\/li>\n<\/ul>\n<p> \u00d6rnek olarak burada bir dizi grupland\u0131r\u0131lm\u0131\u015f verideki \u00e7eyrekleri hesaplamaya y\u00f6nelik bir al\u0131\u015ft\u0131rma verilmi\u015ftir: <\/p>\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\/quartiles-regroupes-en-donnees.png\" alt=\"\u00e7eyreklere g\u00f6re grupland\u0131r\u0131lm\u0131\u015f veriler\" class=\"wp-image-1352\" width=\"212\" height=\"203\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0130lk \u00e7eyre\u011fi hesaplamak i\u00e7in \u00f6ncelikle onun d\u00fc\u015ft\u00fc\u011f\u00fc aral\u0131\u011f\u0131 belirlemelisiniz. Bunu yapmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc uyguluyoruz:<\/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-3ea73200ce65b85a2dcd542a490dbc62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k\\cdot (n+1)}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"78\" style=\"vertical-align: -12px;\"><\/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-65525e17b8b4c202b4bd00934b0dba69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1\\cdot (30+1)}{4} =7,75 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad [50,60)\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"355\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Yani ilk \u00e7eyrek, k\u00fcm\u00fclatif mutlak frekans\u0131 7,75&#8217;ten hemen b\u00fcy\u00fck olan aral\u0131kta olacakt\u0131r, bu durumda bu, k\u00fcm\u00fclatif mutlak frekans\u0131 15 olan aral\u0131kt\u0131r [50,60). Ve \u00e7eyrek aral\u0131\u011f\u0131n\u0131 bildi\u011fimizde, ikinci s\u00fcre\u00e7 form\u00fcl\u00fcn\u00fc 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-65a610b13df09e089276a524c7afd4d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_k=L_i+\\cfrac{\\displaystyle\\frac{k\\cdot (n+1)}{4}-F_{i-1}}{f_i}\\cdot I_i\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"251\" style=\"vertical-align: -16px;\"><\/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-2f4a54e1776e91a3fbd364e67034d349_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1=50+\\cfrac{\\displaystyle\\frac{1\\cdot (30+1)}{4}-7}{8}\\cdot 10=50,94\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"303\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0130kinci \u00e7eyre\u011fi elde etmek i\u00e7in ayn\u0131 i\u015flemi tekrar uyguluyoruz. \u0130lk \u00f6nce \u00e7eyre\u011fin bulundu\u011fu aral\u0131\u011f\u0131 belirleriz:<\/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-01ee49bfe7132881b878e0e069d4c9b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2\\cdot (30+1)}{4} =15,5 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad [60,70)\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"355\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> K\u00fcm\u00fclatif mutlak frekans\u0131 15,5&#8217;ten hemen b\u00fcy\u00fck olan aral\u0131k [60,70] olup k\u00fcm\u00fclatif mutlak frekans\u0131 26&#8217;d\u0131r. Dolay\u0131s\u0131yla ikinci \u00e7eyrek \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-8d56d2383f139d53b078476b62700071_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_2=60+\\cfrac{\\displaystyle\\frac{2\\cdot (30+1)}{4}-15}{11}\\cdot 10=60,45\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"310\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Ve son olarak \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fi bulmak i\u00e7in i\u015flemi tekrarl\u0131yoruz. \u0130lk \u00f6nce \u00e7eyre\u011fi i\u00e7eren aral\u0131\u011f\u0131 hesapl\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-717ee2f6c07f0e741e3a2a8b768146d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3\\cdot (30+1)}{4} =22,5 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad [60,70)\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"355\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> 23,25&#8217;in hemen \u00fczerindeki k\u00fcm\u00fclatif mutlak frekans 26&#8217;d\u0131r, dolay\u0131s\u0131yla \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek aral\u0131\u011f\u0131 [60,70&#8217;tir. Bu nedenle bu aral\u0131\u011fa sahip \u00e7eyre\u011fi hesaplamak i\u00e7in form\u00fcl\u00fc uyguluyoruz: <\/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-49454579bced30e72baf037d530c5995_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3=60+\\cfrac{\\displaystyle\\frac{3\\cdot (30+1)}{4}-15}{11}\\cdot 10=67,5\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"301\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"para-que-sirven-los-cuartiles\"><\/span>\u00c7eyrekler ne i\u00e7in kullan\u0131l\u0131r?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00c7eyrekler bir konum \u00f6l\u00e7\u00fcs\u00fcd\u00fcr, <strong>dolay\u0131s\u0131yla verilerin nas\u0131l konumland\u0131r\u0131ld\u0131\u011f\u0131n\u0131 bilmek i\u00e7in kullan\u0131l\u0131rlar.<\/strong> Ba\u015fka bir deyi\u015fle, \u00fc\u00e7 \u00e7eyre\u011fin de\u011ferleri, \u00f6rnekteki rastgele bir veri \u00f6\u011fesinin \u00e7ok b\u00fcy\u00fck, \u00e7ok k\u00fc\u00e7\u00fck veya ortalama bir de\u011fer olup olmad\u0131\u011f\u0131n\u0131 bilmemizi sa\u011flar.<\/p>\n<p> \u00d6rnekten rastgele bir veri al\u0131rsak, bunu \u00e7eyreklerle kar\u015f\u0131la\u015ft\u0131rarak de\u011ferinin y\u00fcksek mi yoksa d\u00fc\u015f\u00fck m\u00fc oldu\u011funu anlayabiliriz. Rasgele verinin de\u011feri ilk \u00e7eyrekten k\u00fc\u00e7\u00fckse k\u00fc\u00e7\u00fck bir de\u011fer olacakt\u0131r, ancak de\u011feri \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrekten b\u00fcy\u00fckse b\u00fcy\u00fck bir de\u011fer olacakt\u0131r. Ayn\u0131 \u015fekilde s\u00f6z konusu verinin de\u011feri birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek aras\u0131nda ise ara de\u011ferdir.<\/p>\n<p> \u00d6te yandan, \u00e7eyrekler ayn\u0131 zamanda \u00e7eyrekler aras\u0131 aral\u0131k (veya \u00e7eyrekler aras\u0131 aral\u0131k) gibi di\u011fer istatistiksel \u00f6l\u00e7\u00fcmleri hesaplamak ve kutu ve b\u0131y\u0131k grafi\u011fi (veya kutu grafi\u011fi) gibi diyagramlar olu\u015fturmak i\u00e7in de kullan\u0131l\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu yaz\u0131da \u00e7eyreklerin ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. Her \u00e7eyre\u011fin tan\u0131m\u0131n\u0131, bunlar\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve birka\u00e7 somut \u00f6rne\u011fi bulacaks\u0131n\u0131z. Ayr\u0131ca grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in \u00e7eyreklerin nas\u0131l hesaplanaca\u011f\u0131n\u0131 da g\u00f6steriyoruz. Ek olarak, \u00e7evrimi\u00e7i bir hesap makinesiyle herhangi bir veri k\u00fcmesinin \u00e7eyreklerini hesaplayabileceksiniz. \u00c7eyrekler nedir? \u0130statistikte \u00e7eyrekler, s\u0131ral\u0131 bir veri k\u00fcmesini d\u00f6rt e\u015fit par\u00e7aya b\u00f6len \u00fc\u00e7 de\u011ferdir. B\u00f6ylece birinci, ikinci [&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-69","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 \u00c7eyrekler: bunlar nelerdir, form\u00fcl, \u00f6rnekler, hesap makinesi,...<\/title>\n<meta name=\"description\" content=\"\u00c7eyrekler nedir - \u00c7eyrekler nas\u0131l hesaplan\u0131r - Grupland\u0131r\u0131lm\u0131\u015f verilerde \u00e7eyrekler - \u00c7\u00f6z\u00fclm\u00fc\u015f \u00f6rnekler - \u00c7eyrek hesaplay\u0131c\u0131\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/ceyrekler\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 \u00c7eyrekler: bunlar nelerdir, form\u00fcl, \u00f6rnekler, hesap makinesi,...\" \/>\n<meta property=\"og:description\" content=\"\u00c7eyrekler nedir - \u00c7eyrekler nas\u0131l hesaplan\u0131r - Grupland\u0131r\u0131lm\u0131\u015f verilerde \u00e7eyrekler - \u00c7\u00f6z\u00fclm\u00fc\u015f \u00f6rnekler - \u00c7eyrek hesaplay\u0131c\u0131\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/ceyrekler\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-05T20:08:02+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quartiles-1.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"8 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/ceyrekler\/\",\"url\":\"https:\/\/statorials.org\/tr\/ceyrekler\/\",\"name\":\"\u25b7 \u00c7eyrekler: bunlar nelerdir, form\u00fcl, \u00f6rnekler, hesap makinesi,...\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-05T20:08:02+00:00\",\"dateModified\":\"2023-08-05T20:08:02+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"\u00c7eyrekler nedir - \u00c7eyrekler nas\u0131l hesaplan\u0131r - Grupland\u0131r\u0131lm\u0131\u015f verilerde \u00e7eyrekler - \u00c7\u00f6z\u00fclm\u00fc\u015f \u00f6rnekler - \u00c7eyrek hesaplay\u0131c\u0131\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/ceyrekler\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/ceyrekler\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/ceyrekler\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u00c7eyrekler\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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