{"id":74,"date":"2023-08-05T18:40:20","date_gmt":"2023-08-05T18:40:20","guid":{"rendered":"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/"},"modified":"2023-08-05T18:40:20","modified_gmt":"2023-08-05T18:40:20","slug":"yuzdelik-dilimler","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/","title":{"rendered":"Nicelikler"},"content":{"rendered":"<p>Burada y\u00fczdelik dilimlerin ne oldu\u011funu ve nas\u0131l hesapland\u0131klar\u0131n\u0131 \u00f6\u011freneceksiniz. Ayr\u0131ca nicelik t\u00fcrlerinin ne oldu\u011funu da a\u00e7\u0131kl\u0131yoruz ve nicelik hesaplamas\u0131n\u0131n \u00e7\u00f6z\u00fcmlenmi\u015f \u00f6rneklerini g\u00f6receksiniz. Son olarak, \u00e7evrimi\u00e7i bir hesap makinesiyle veri \u00f6rne\u011finizin herhangi bir miktar\u0131n\u0131 hesaplayabileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-cuantiles\"><\/span> Kantiller nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte <strong>nicelikler<\/strong> , s\u0131ral\u0131 bir veri k\u00fcmesini e\u015fit olarak b\u00f6len noktalard\u0131r. Dolay\u0131s\u0131yla bir nicelik, veri y\u00fczdesinin alt\u0131nda bulundu\u011fu de\u011feri belirtir.<\/p>\n<p> \u00d6rne\u011fin 0,39&#8217;luk s\u0131ra kantil de\u011feri 24 ise bu, \u00f6rneklemdeki verilerin %39&#8217;unun 24&#8217;ten k\u00fc\u00e7\u00fck, geri kalan verilerin ise 24&#8217;ten b\u00fcy\u00fck oldu\u011fu anlam\u0131na gelir.<\/p>\n<p> Bu nedenle, verileri bir da\u011f\u0131l\u0131mdan e\u015fit gruplara ay\u0131rmak i\u00e7in nicelikler kullan\u0131l\u0131r. Ayr\u0131ca belirli bir de\u011ferin \u00fczerindeki veya alt\u0131ndaki verilerin y\u00fczdesini belirtmek i\u00e7in de kullan\u0131l\u0131rlar.<\/p>\n<p> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">Herhangi bir veri k\u00fcmesinin niceliklerini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesap makinesini kullanabilirsiniz.<\/u><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-cuantiles\"><\/span> Nicelik t\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Farkl\u0131 nicelik t\u00fcrleri \u015funlard\u0131r:<\/p>\n<ul>\n<li> <strong>\u00c7eyrekler<\/strong> \u2013 Veri k\u00fcmesini d\u00f6rt e\u015fit par\u00e7aya b\u00f6len nicelikler. Bu nedenle \u00fc\u00e7 \u00e7eyrek vard\u0131r: birinci \u00e7eyrek ( <sub>Q1<\/sub> ), ikinci \u00e7eyrek ( <sub>Q2<\/sub> ) ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek ( <sub>Q3<\/sub> ).<\/li>\n<li> <strong>Quintiles<\/strong> \u2013 Veri k\u00fcmesini be\u015f e\u015fit par\u00e7aya b\u00f6len nicelikler. Dolay\u0131s\u0131yla bir numunede yaln\u0131zca d\u00f6rt be\u015fte birlik k\u0131s\u0131m bulunabilir. Bu t\u00fcr nicelikler K harfiyle ifade edilir.<\/li>\n<li> <strong>Ondal\u0131klar<\/strong> : Veri k\u00fcmesini on e\u015fit par\u00e7aya b\u00f6len y\u00fczdelikler. Ondal\u0131k say\u0131n\u0131n sembol\u00fc D harfidir.<\/li>\n<li> <strong>Y\u00fczdelikler<\/strong> \u2013 Veri k\u00fcmesini y\u00fcz e\u015fit par\u00e7aya b\u00f6len nicelikler. Y\u00fczdelikler ayr\u0131ca numunenin y\u00fczdesini de g\u00f6sterir. P harfiyle adland\u0131r\u0131l\u0131rlar.<\/li>\n<\/ul>\n<p> Farkl\u0131 t\u00fcrdeki y\u00fczdelik dilimleri ili\u015fkilendiren \u00f6zelliklerden biri medyan, ikinci \u00e7eyrek, be\u015finci y\u00fczdelik dilim ve 50. y\u00fczdelik dilimin ayn\u0131 de\u011fere sahip olmas\u0131d\u0131r.<\/p>\n<p> Ayr\u0131ca ba\u015fka nicelik t\u00fcrleri de vard\u0131r ancak bunlar daha az kullan\u0131l\u0131r. Bunlar aras\u0131nda, bir dizi veriyi \u00fc\u00e7 \u00f6zde\u015f par\u00e7aya b\u00f6len terciller ve toplanan verileri yirmi e\u015fde\u011fer par\u00e7aya ay\u0131ran kanunsuzlar \u00f6ne \u00e7\u0131k\u0131yor.<\/p>\n<p> Benzer \u015fekilde, t\u00fcm y\u00fczdelik dilim t\u00fcrleri merkezi olmayan konum \u00f6l\u00e7\u00fcleri olarak kabul edilir.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-cuantiles\"><\/span> Nicelikler nas\u0131l hesaplan\u0131r<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir istatistiksel veri k\u00fcmesinin <strong>y\u00fczdelik k\u0131sm\u0131n\u0131n konumunu hesaplamak<\/strong> i\u00e7in, y\u00fczdelik say\u0131y\u0131 toplam veri say\u0131s\u0131 art\u0131 bir ile \u00e7arpman\u0131z gerekir.<\/p>\n<p> Bu nedenle <strong>nicelik form\u00fcl\u00fc<\/strong> \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-a68acf02c3b8ef5d666e52837f3acedd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\\cdot (n+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <strong>L\u00fctfen unutmay\u0131n:<\/strong> Bu form\u00fcl bize y\u00fczdelik dilimin de\u011ferini de\u011fil konumunu belirtir. Kantil, 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, nicelik de\u011feri yukar\u0131daki form\u00fcl taraf\u0131ndan sa\u011flanan konumdaki veridir.<\/li>\n<li> Form\u00fcl sonucu <strong>ondal\u0131k k\u0131sm\u0131 olan bir say\u0131ysa<\/strong> , tam y\u00fczdelik de\u011fer 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-46acc548679a5d2e69b56091c9ab08b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=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> Bir y\u00fczdelik dilim hesaplaman\u0131n \u00e7ok karma\u015f\u0131k oldu\u011funu d\u00fc\u015f\u00fcn\u00fcyorsan\u0131z endi\u015felenmeyin. A\u015fa\u011f\u0131daki \u00f6rnekleri okuyun, asl\u0131nda basit oldu\u011funu g\u00f6receksiniz.<\/p>\n<p> <strong>Not<\/strong> : Bilim camias\u0131nda niceliklerin nas\u0131l hesaplanaca\u011f\u0131 konusunda hala bir fikir birli\u011fi yoktur, dolay\u0131s\u0131yla bunu biraz farkl\u0131 \u015fekilde 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-cuantiles\"><\/span> Kantil Hesaplama \u00d6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir y\u00fczdelik dilimin tan\u0131m\u0131 ve hesaplama teorisi g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, a\u015fa\u011f\u0131da belirli y\u00fczdelik dilimlerin hesaplanmas\u0131na ili\u015fkin \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma bulacaks\u0131n\u0131z. Bu, kavram\u0131 daha iyi anlaman\u0131za yard\u0131mc\u0131 olacakt\u0131r.<\/p>\n<ul>\n<li> A\u015fa\u011f\u0131daki istatistiksel \u00f6rne\u011fin 0,50 d\u00fczeyindeki y\u00fczdelik dilimini ve 0,81 d\u00fczeyindeki y\u00fczdelik dilimini 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\/serie-de-donnees-ordonnees.png\" alt=\"\" class=\"wp-image-1428\" width=\"333\" height=\"254\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Sorunlu veriler zaten artan s\u0131rada s\u0131ralanm\u0131\u015ft\u0131r, dolay\u0131s\u0131yla onu de\u011fi\u015ftirmenize gerek yoktur. Aksi takdirde, \u00f6nce verilerin s\u0131raya konulmas\u0131 gerekirdi.<\/p>\n<p> Yukar\u0131da a\u00e7\u0131kland\u0131\u011f\u0131 gibi herhangi bir niceli\u011fin konumunu bulma form\u00fcl\u00fc 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-a68acf02c3b8ef5d666e52837f3acedd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\\cdot (n+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Bu durumda \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc 49 g\u00f6zlemdir, dolay\u0131s\u0131yla 0,50 y\u00fczdelik dilimini hesaplamak i\u00e7in <em>n&#8217;yi<\/em> 49 ve <em>p&#8217;yi<\/em> 0,50 ile de\u011fi\u015ftirmemiz 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-1c90c47b09afe272853d5ec08fa99d5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0,5\\cdot (49+1)=25\\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad C_{0,50}=250\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"389\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> Yani 0,50 kantil, s\u0131ral\u0131 listenin yirmi be\u015finci pozisyonunda yer alan ve 250 de\u011ferine kar\u015f\u0131l\u0131k gelen de\u011fer olacakt\u0131r.<\/p>\n<p> \u015eimdi 0,81&#8217;in y\u00fczdelik dilimini bulmak i\u00e7in ayn\u0131 form\u00fcl\u00fc tekrar uyguluyoruz. Mant\u0131ksal olarak bu ikinci \u00f6rnekte <em>p&#8217;yi<\/em> 0,81 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-da503db9bc4f34924d0b097678703c72_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0,81\\cdot (49+1)=40,5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"167\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Ancak bu sefer form\u00fclden (40.5) ondal\u0131k bir say\u0131 ald\u0131k, bu da y\u00fczdelik dilimin 40. konum ile 41. konum aras\u0131nda olaca\u011f\u0131 anlam\u0131na geliyor. Bu nedenle, bu y\u00fczdelik dilimini belirlemek i\u00e7in ikinci y\u00f6ntem form\u00fcl\u00fcn\u00fc kullanmam\u0131z gerekiyor:<\/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-46acc548679a5d2e69b56091c9ab08b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=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 y\u00fczdelik, de\u011ferleri s\u0131ras\u0131yla 286 ve 289 olan 40 ve 41 konumlar\u0131 aras\u0131nda olacakt\u0131r. Sonu\u00e7 olarak, <em>x <sub>i<\/sub><\/em> 286 de\u011ferinde, <em>x <sub>i+1<\/sub><\/em> 289 de\u011ferinde ve <em>d<\/em> elde edilen say\u0131n\u0131n ondal\u0131k k\u0131sm\u0131 yani 0,5&#8217;tir.<\/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-f546347df41bf74ce1e5568d2b479daf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C_{0,81}=286+0,5\\cdot (289-286)=287,5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"303\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> G\u00f6rd\u00fc\u011f\u00fcn\u00fcz gibi, bir y\u00fczdelik dilimin hesaplanmas\u0131, ilk form\u00fcl\u00fcn bize ondal\u0131k bir say\u0131 verip vermemesine ba\u011fl\u0131d\u0131r. Daha fazla \u00f6rnek g\u00f6rmek istiyorsan\u0131z burada farkl\u0131 t\u00fcrdeki niceliklerle ilgili daha fazla \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rmay\u0131 g\u00f6rebilirsiniz: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; 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 \u00f6rnekleri<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/beste-birlik-dilimler\/\">be\u015fte birlik \u00f6rnekler<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ondalik-dilimler\/\">ondal\u0131k say\u0131 \u00f6rnekleri<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/yuzdelikler\/\">y\u00fczdelik dilim \u00f6rnekleri<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-cuantiles\"><\/span> nicelik hesaplay\u0131c\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u015fa\u011f\u0131daki hesap makinesine bir istatistiksel veri seti ve hesaplamak istedi\u011finiz y\u00fczdelik say\u0131y\u0131 girin. Say\u0131lar 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<ul style=\"color:#1c2c92;\">\n<li style=\"margin-bottom:15px; margin-top:15px\"> <span style=\"color:#101010;font-weight: normal;\">nicelik = <input name=\"cuantil\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; width:50px; color:#000000; background-color:#EBF5FB;\" placeholder=\"0.81\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el n\u00famero del cuantil que quieres calcular aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/span> <\/li>\n<\/ul>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"Kantili hesapla\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"cuantiles-en-datos-agrupados\"><\/span> Grupland\u0131r\u0131lm\u0131\u015f verilerdeki nicelikler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Veriler aral\u0131klar halinde grupland\u0131r\u0131ld\u0131\u011f\u0131nda bir y\u00fczdelik dilim hesaplamak<\/strong> i\u00e7in \u00f6ncelikle a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak y\u00fczdelik dilimin 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-a68acf02c3b8ef5d666e52837f3acedd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\\cdot (n+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla nicelik, birikmi\u015f mutlak frekans\u0131 \u00f6nceki ifadede elde edilen say\u0131dan hemen b\u00fcy\u00fck olan aral\u0131kta olacakt\u0131r.<\/p>\n<p> Ve y\u00fczdelik dilimin ait oldu\u011fu aral\u0131\u011f\u0131 bildi\u011fimizde, y\u00fczdelik dilimin 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-404ed8f7ca90ca38fa064ccf2be6441c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=L_i+ \\cfrac{p\\cdot (n+1)-F_{i-1}}{f_i}\\cdot I_i \" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"237\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Alt\u0131n:<\/p>\n<ul>\n<li> <em>L <sub>i,<\/sub><\/em> niceli\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> niceli\u011fin bulundu\u011fu aral\u0131\u011f\u0131n mutlak frekans\u0131d\u0131r.<\/li>\n<li> <em>I <sub>i<\/sub><\/em> nicelik aral\u0131\u011f\u0131n\u0131n geni\u015fli\u011fidir.<\/li>\n<\/ul>\n<p> Bunu nas\u0131l yapaca\u011f\u0131n\u0131z\u0131 g\u00f6stermek i\u00e7in burada grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in 0,29 ve 0,62 d\u00fczeyindeki niceliklerin hesaplanmas\u0131na ili\u015fkin somut bir \u00f6rnek 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\/intervalles-de-donnees-exercice-etapes-resolues.png\" alt=\"\" class=\"wp-image-1480\" width=\"243\" height=\"293\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> 0,29 y\u00fczdelik dilimini hesaplamak i\u00e7in \u00f6nce onun i\u00e7inde bulundu\u011fu aral\u0131\u011f\u0131 bulmal\u0131y\u0131z. Bunu yapmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\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-a68acf02c3b8ef5d666e52837f3acedd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\\cdot (n+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" 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-7ffe8cc864aa40c9c4a725cd8dc04875_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0,29\\cdot (500+1)=145,29 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad [350,375)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"425\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla nicelik, k\u00fcm\u00fclatif mutlak frekans\u0131 145,29&#8217;dan hemen b\u00fcy\u00fck olan aral\u0131kta olacakt\u0131r; bu durumda bu aral\u0131k, k\u00fcm\u00fclatif mutlak frekans\u0131 175 olan [350,375) aral\u0131\u011f\u0131d\u0131r. Ve nicelik aral\u0131\u011f\u0131n\u0131 bildi\u011fimizde, ikincinin form\u00fcl\u00fcn\u00fc kullan\u0131r\u0131z. y\u00f6ntem:<\/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-404ed8f7ca90ca38fa064ccf2be6441c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=L_i+ \\cfrac{p\\cdot (n+1)-F_{i-1}}{f_i}\\cdot I_i \" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"237\" 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-2bcc427ffedecfc04117ef765e97ea20_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C_{0,29}=350+ \\cfrac{0,29\\cdot (500+1)-131}{44}\\cdot 25 =358,12\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"384\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u015eimdi 0,62 kantilini elde etmek i\u00e7in ayn\u0131 prosed\u00fcr\u00fc tekrar uyguluyoruz. \u0130lk \u00f6nce kantilin oldu\u011fu 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-dac3612fd47ecab0c2898cbdae253092_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0,62\\cdot (500+1)=310,62 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad [425,450)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"425\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> K\u00fcm\u00fclatif mutlak frekans\u0131 310,62&#8217;den hemen b\u00fcy\u00fck olan aral\u0131k [425,450] olup, k\u00fcm\u00fclatif mutlak frekans\u0131 347&#8217;dir. Bu nedenle, s\u00fcre\u00e7teki ikinci form\u00fcl\u00fc kullanarak tam nicelik de\u011ferini 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-a4418095b6eaa5b30555753dd8339e3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C_{0,62}=425+ \\cfrac{0,62\\cdot (500+1)-298}{49}\\cdot 25=431,44\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"385\" style=\"vertical-align: -12px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Burada y\u00fczdelik dilimlerin ne oldu\u011funu ve nas\u0131l hesapland\u0131klar\u0131n\u0131 \u00f6\u011freneceksiniz. Ayr\u0131ca nicelik t\u00fcrlerinin ne oldu\u011funu da a\u00e7\u0131kl\u0131yoruz ve nicelik hesaplamas\u0131n\u0131n \u00e7\u00f6z\u00fcmlenmi\u015f \u00f6rneklerini g\u00f6receksiniz. Son olarak, \u00e7evrimi\u00e7i bir hesap makinesiyle veri \u00f6rne\u011finizin herhangi bir miktar\u0131n\u0131 hesaplayabileceksiniz. Kantiller nedir? \u0130statistikte nicelikler , s\u0131ral\u0131 bir veri k\u00fcmesini e\u015fit olarak b\u00f6len noktalard\u0131r. Dolay\u0131s\u0131yla bir nicelik, veri y\u00fczdesinin alt\u0131nda bulundu\u011fu de\u011feri [&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-74","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 Nicelikler: nelerdir, t\u00fcrleri, form\u00fclleri, \u00f6rnekleri, hesap makinesi,...<\/title>\n<meta name=\"description\" content=\"Y\u00fczdelik dilimler nedir - Y\u00fczdelik dilim t\u00fcrleri - Y\u00fczdelik dilimler nas\u0131l hesaplan\u0131r - Grupland\u0131r\u0131lm\u0131\u015f verilerdeki nicelikler - Pratik \u00f6rnekler - Nicelik 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\/yuzdelik-dilimler\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Nicelikler: nelerdir, t\u00fcrleri, form\u00fclleri, \u00f6rnekleri, hesap makinesi,...\" \/>\n<meta property=\"og:description\" content=\"Y\u00fczdelik dilimler nedir - Y\u00fczdelik dilim t\u00fcrleri - Y\u00fczdelik dilimler nas\u0131l hesaplan\u0131r - Grupland\u0131r\u0131lm\u0131\u015f verilerdeki nicelikler - Pratik \u00f6rnekler - Nicelik hesaplay\u0131c\u0131\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-05T18:40:20+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a68acf02c3b8ef5d666e52837f3acedd_l3.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=\"7 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/\",\"url\":\"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/\",\"name\":\"\u25b7 Nicelikler: nelerdir, t\u00fcrleri, form\u00fclleri, \u00f6rnekleri, hesap makinesi,...\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-05T18:40:20+00:00\",\"dateModified\":\"2023-08-05T18:40:20+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Y\u00fczdelik dilimler nedir - Y\u00fczdelik dilim t\u00fcrleri - Y\u00fczdelik dilimler nas\u0131l hesaplan\u0131r - Grupland\u0131r\u0131lm\u0131\u015f verilerdeki nicelikler - Pratik \u00f6rnekler - Nicelik hesaplay\u0131c\u0131\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Nicelikler\"}]},{\"@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. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Nicelikler: nelerdir, t\u00fcrleri, form\u00fclleri, \u00f6rnekleri, hesap makinesi,...","description":"Y\u00fczdelik dilimler nedir - Y\u00fczdelik dilim t\u00fcrleri - Y\u00fczdelik dilimler nas\u0131l hesaplan\u0131r - Grupland\u0131r\u0131lm\u0131\u015f verilerdeki nicelikler - Pratik \u00f6rnekler - Nicelik hesaplay\u0131c\u0131","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/","og_locale":"tr_TR","og_type":"article","og_title":"\u25b7 Nicelikler: nelerdir, t\u00fcrleri, form\u00fclleri, \u00f6rnekleri, hesap makinesi,...","og_description":"Y\u00fczdelik dilimler nedir - Y\u00fczdelik dilim t\u00fcrleri - Y\u00fczdelik dilimler nas\u0131l hesaplan\u0131r - Grupland\u0131r\u0131lm\u0131\u015f verilerdeki nicelikler - Pratik \u00f6rnekler - Nicelik hesaplay\u0131c\u0131","og_url":"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/","og_site_name":"Statorials","article_published_time":"2023-08-05T18:40:20+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a68acf02c3b8ef5d666e52837f3acedd_l3.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"7 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/","url":"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/","name":"\u25b7 Nicelikler: nelerdir, t\u00fcrleri, form\u00fclleri, \u00f6rnekleri, hesap makinesi,...","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-08-05T18:40:20+00:00","dateModified":"2023-08-05T18:40:20+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Y\u00fczdelik dilimler nedir - Y\u00fczdelik dilim t\u00fcrleri - Y\u00fczdelik dilimler nas\u0131l hesaplan\u0131r - Grupland\u0131r\u0131lm\u0131\u015f verilerdeki nicelikler - Pratik \u00f6rnekler - Nicelik hesaplay\u0131c\u0131","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/yuzdelik-dilimler\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Nicelikler"}]},{"@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. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/74","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=74"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/74\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=74"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=74"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=74"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}