{"id":572,"date":"2023-07-29T11:24:56","date_gmt":"2023-07-29T11:24:56","guid":{"rendered":"https:\/\/statorials.org\/tr\/istatistik-corap\/"},"modified":"2023-07-29T11:24:56","modified_gmt":"2023-07-29T11:24:56","slug":"istatistik-corap","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/istatistik-corap\/","title":{"rendered":"Socs: da\u011f\u0131l\u0131mlar\u0131 tan\u0131mlamak i\u00e7in kullan\u0131\u015fl\u0131 bir k\u0131saltma"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte genellikle bir veri k\u00fcmesinin nas\u0131l da\u011f\u0131t\u0131ld\u0131\u011f\u0131n\u0131 anlamak isteriz. \u00d6zellikle bir da\u011f\u0131t\u0131m hakk\u0131nda bilinmesi yararl\u0131 olan d\u00f6rt \u015fey vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1 <span style=\"color: #000000;\">.<\/span><\/strong> <strong>\u015eekil<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m simetrik mi yoksa bir tarafa \u00e7arp\u0131k m\u0131?<\/span><\/li>\n<li> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m tek modlu mu (tek tepe) yoksa <a href=\"https:\/\/statorials.org\/tr\/cift-modlu-dagilim\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00e7ift modlu mu<\/a> (iki tepe)?<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>2. Ayk\u0131r\u0131 De\u011ferler<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131mda ayk\u0131r\u0131 de\u011ferler var m\u0131?<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>3. Merkez<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama, medyan ve da\u011f\u0131l\u0131m \u015fekli nedir?<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>4.Yay\u0131lma<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m\u0131n aral\u0131\u011f\u0131, \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131, standart sapmas\u0131 ve varyans\u0131 nedir?<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>SOCS<\/strong> bu d\u00f6rt \u015feyi hat\u0131rlamak i\u00e7in kullanabilece\u011fimiz kullan\u0131\u015fl\u0131 bir k\u0131saltmad\u0131r. \u201c\u015eekil, ayk\u0131r\u0131 de\u011ferler, merkez, yay\u0131lma\u201d anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131t\u0131m\u0131 tan\u0131mlamak i\u00e7in SOCS&#8217;nin nas\u0131l kullan\u0131laca\u011f\u0131na dair basit bir \u00f6rnek \u00fczerinden gidelim.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Bir da\u011f\u0131t\u0131m\u0131 tan\u0131mlamak i\u00e7in SOCS nas\u0131l kullan\u0131l\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki 20 farkl\u0131 bitki \u00f6rne\u011finin boyunu g\u00f6steren a\u015fa\u011f\u0131daki veri setine sahibiz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5144 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/socs0.png\" alt=\"\" width=\"216\" height=\"526\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Veri de\u011ferlerinin bu da\u011f\u0131l\u0131m\u0131n\u0131 tan\u0131mlamak i\u00e7in SOCS&#8217;yi \u015fu \u015fekilde kullanabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u015eekil<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle da\u011f\u0131l\u0131m\u0131n \u015feklini a\u00e7\u0131klamak istiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131t\u0131m\u0131n \u015feklini g\u00f6rselle\u015ftirmenin yararl\u0131 bir yolu, veri k\u00fcmesindeki her bir de\u011ferin frekans\u0131n\u0131 g\u00f6r\u00fcnt\u00fcleyen bir histogram olu\u015fturmakt\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5147 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/socs00.png\" alt=\"\" width=\"516\" height=\"491\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <strong><span style=\"color: #000000;\">Da\u011f\u0131l\u0131m simetrik mi yoksa bir tarafa \u00e7arp\u0131k m\u0131?<\/span><\/strong> <span style=\"color: #000000;\">&nbsp;<\/span> <span style=\"color: #000000;\">Histogramdan da\u011f\u0131l\u0131m\u0131n yakla\u015f\u0131k olarak simetrik oldu\u011funu g\u00f6rebiliriz. Ba\u015fka bir deyi\u015fle de\u011ferler \u00f6yle ya da b\u00f6yle \u00f6nyarg\u0131l\u0131 de\u011fildir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Da\u011f\u0131l\u0131m tek modlu mu (tek tepe) yoksa \u00e7ift modlu mu (iki tepe)?<\/strong> Da\u011f\u0131t\u0131m tek modludur. \u201c7\u201d de\u011ferinde bir zirveye sahiptir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ayk\u0131r\u0131 De\u011ferler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra veri setinde herhangi bir ayk\u0131r\u0131 de\u011fer olup olmad\u0131\u011f\u0131n\u0131 belirlemek istiyoruz. Histogramdan da\u011f\u0131l\u0131m\u0131 g\u00f6rsel olarak inceleyebiliriz ve 22&#8217;nin potansiyel olarak ayk\u0131r\u0131 bir de\u011fer oldu\u011funu g\u00f6rebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5146 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/socs1.png\" alt=\"\u0130statistikte SOCS kullanan histogram \u00f6rne\u011fi\" width=\"499\" height=\"474\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ayk\u0131r\u0131 de\u011feri resmi olarak tan\u0131mlaman\u0131n yayg\u0131n bir yolu, \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fin \u00fczerinde veya birinci \u00e7eyre\u011fin alt\u0131nda \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n 1,5 kat\u0131 olan herhangi bir de\u011ferdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k hesaplay\u0131c\u0131y\u0131 kullanarak 20 ham veri de\u011ferini girebiliriz ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fin <strong>9<\/strong> , \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n <strong>3<\/strong> oldu\u011funu ve dolay\u0131s\u0131yla 9 + (1,5*3) = <strong>13,5&#8217;ten<\/strong> b\u00fcy\u00fck herhangi bir de\u011ferin ayk\u0131r\u0131 de\u011fer oldu\u011funu g\u00f6rebiliriz, tan\u0131m\u0131 gere\u011fi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">22, 13,5&#8217;tan b\u00fcy\u00fck oldu\u011fundan 22&#8217;yi ayk\u0131r\u0131 de\u011fer olarak ilan edebiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Merkez<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra da\u011f\u0131l\u0131m\u0131n merkezinin nerede oldu\u011funu a\u00e7\u0131klamak istiyoruz. Kullanabilece\u011fimiz \u00fc\u00e7 <a href=\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\" target=\"_blank\" rel=\"noopener noreferrer\">yayg\u0131n merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fc<\/a> ortalama, medyan ve moddur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ortalama:<\/strong> Bu, da\u011f\u0131l\u0131m\u0131n ortalama de\u011feridir. Bunu, t\u00fcm bireysel de\u011ferleri toplay\u0131p ard\u0131ndan toplam de\u011fer say\u0131s\u0131na b\u00f6lerek buluruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama = (8+4+6+7+7+6+7+8+6+11+8+22+10+9+9+7+5+7+6+4) \/ 20 = <strong>7,85<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Medyan:<\/strong> Bu, da\u011f\u0131l\u0131m\u0131n \u201cortalama\u201d de\u011feridir. T\u00fcm de\u011ferleri en k\u00fc\u00e7\u00fckten en b\u00fcy\u00fc\u011fe s\u0131ralay\u0131p ard\u0131ndan medyan de\u011ferini belirleyerek bunu buluyoruz. <strong>7<\/strong> oldu\u011fu ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">4, 4, 5, 6, 6, 6, 6, 7, 7, 7, <strong>7<\/strong> , 7, <strong>8<\/strong> , 8, 8, 9, 9, 10, 11, 22<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Mod:<\/strong> En s\u0131k g\u00f6r\u00fclen de\u011ferdir. <strong>7<\/strong> oldu\u011fu ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Yaymak<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra da\u011f\u0131l\u0131mdaki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 a\u00e7\u0131klamak istiyoruz. Kullanabilece\u011fimiz d\u00f6rt yayg\u0131n da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fc aral\u0131k, kareler aras\u0131 aral\u0131k, standart sapma ve varyanst\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Aral\u0131k:<\/strong> Veri setindeki en b\u00fcy\u00fck de\u011fer ile en k\u00fc\u00e7\u00fck de\u011fer aras\u0131ndaki farkt\u0131r. Bunun 22 \u2013 4 = <strong>18<\/strong> oldu\u011fu ortaya \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00c7eyrekler Aras\u0131 Aral\u0131k:<\/strong> Veri de\u011ferlerinin ortadaki %50&#8217;sinin geni\u015fli\u011fini \u00f6l\u00e7er. 20 ham veri de\u011ferini \u00e7eyrekler aras\u0131 aral\u0131k hesaplay\u0131c\u0131ya girdi\u011fimizde bunun <strong>3&#8217;e<\/strong> e\u015fit oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart sapma:<\/strong> Bu, veri de\u011ferlerinin ortalama da\u011f\u0131l\u0131m\u0131n\u0131n bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. 20 ham veri de\u011ferini varyans ve standart sapma hesaplay\u0131c\u0131s\u0131na girdi\u011fimizde standart sapman\u0131n <strong>3,69&#8217;a<\/strong> e\u015fit oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Varyans:<\/strong> Bu basit\u00e7e standart sapman\u0131n karesidir. Bu 3,69 <sup>2<\/sup> = <strong>13,63&#8217;e<\/strong> e\u015fittir.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u00c7\u00f6z\u00fcm<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\"><strong>SOCS&#8217;yi<\/strong> rehber olarak kullanarak bitki boyu da\u011f\u0131l\u0131m\u0131n\u0131 \u015fu \u015fekilde tan\u0131mlayabildik:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m tek modlu ve simetrikti, yani tek bir tepe noktas\u0131 vard\u0131 ve bir tarafa ya da di\u011ferine \u00e7arp\u0131k de\u011fildi.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Da\u011f\u0131t\u0131m\u0131n bir ayk\u0131r\u0131 de\u011feri vard\u0131: 22.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m\u0131n ortalamas\u0131 7,85, ortancas\u0131 7 ve modu 7 idi.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m\u0131n aral\u0131\u011f\u0131 18, \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 3, standart sapmas\u0131 3,69 ve varyans\u0131 13,63&#8217;t\u00fc.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Herhangi bir da\u011f\u0131t\u0131m\u0131 tan\u0131mlamak i\u00e7in SOCS&#8217;yi kullanabilece\u011fimizi unutmay\u0131n; bu, bir da\u011f\u0131l\u0131m\u0131n \u015feklini, ayk\u0131r\u0131 de\u011ferlerinin olup olmad\u0131\u011f\u0131n\u0131, merkezin yakla\u015f\u0131k olarak nerede oldu\u011funu ve Verilerin de\u011ferlerinin nas\u0131l da\u011f\u0131t\u0131laca\u011f\u0131n\u0131 tam olarak anlamam\u0131z i\u00e7in yararl\u0131 bir yoldur. \u00f6yle.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte genellikle bir veri k\u00fcmesinin nas\u0131l da\u011f\u0131t\u0131ld\u0131\u011f\u0131n\u0131 anlamak isteriz. \u00d6zellikle bir da\u011f\u0131t\u0131m hakk\u0131nda bilinmesi yararl\u0131 olan d\u00f6rt \u015fey vard\u0131r: 1 . \u015eekil Da\u011f\u0131l\u0131m simetrik mi yoksa bir tarafa \u00e7arp\u0131k m\u0131? Da\u011f\u0131l\u0131m tek modlu mu (tek tepe) yoksa \u00e7ift modlu mu (iki tepe)? 2. Ayk\u0131r\u0131 De\u011ferler Da\u011f\u0131l\u0131mda ayk\u0131r\u0131 de\u011ferler var m\u0131? 3. Merkez Ortalama, medyan ve [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-572","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>SOCS: da\u011f\u0131t\u0131mlar\u0131 tan\u0131mlamak i\u00e7in kullan\u0131\u015fl\u0131 bir k\u0131saltma - Statorials<\/title>\n<meta name=\"description\" content=\"SOCS, &quot;\u015eekil, Ayk\u0131r\u0131 De\u011ferler, Merkez, Yay\u0131l\u0131m&quot; anlam\u0131na gelen bir k\u0131saltmad\u0131r ve istatistiklerdeki da\u011f\u0131l\u0131mlar\u0131 tan\u0131mlamak i\u00e7in yararl\u0131 bir k\u0131lavuz g\u00f6revi g\u00f6r\u00fcr.\" \/>\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\/istatistik-corap\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"SOCS: da\u011f\u0131t\u0131mlar\u0131 tan\u0131mlamak i\u00e7in kullan\u0131\u015fl\u0131 bir k\u0131saltma - Statorials\" \/>\n<meta property=\"og:description\" content=\"SOCS, &quot;\u015eekil, Ayk\u0131r\u0131 De\u011ferler, Merkez, Yay\u0131l\u0131m&quot; 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