{"id":3584,"date":"2023-07-16T17:05:04","date_gmt":"2023-07-16T17:05:04","guid":{"rendered":"https:\/\/statorials.org\/tr\/aykiri-degerler-iceren-bir-kutu-grafigi-nasil-okunur\/"},"modified":"2023-07-16T17:05:04","modified_gmt":"2023-07-16T17:05:04","slug":"aykiri-degerler-iceren-bir-kutu-grafigi-nasil-okunur","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/aykiri-degerler-iceren-bir-kutu-grafigi-nasil-okunur\/","title":{"rendered":"Ayk\u0131r\u0131 de\u011ferlerle kutu grafi\u011fi nas\u0131l okunur (\u00f6rnekle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Kutu grafi\u011fi,<\/strong> a\u015fa\u011f\u0131dakileri i\u00e7eren bir veri k\u00fcmesinin be\u015f basamakl\u0131 \u00f6zetini g\u00f6r\u00fcnt\u00fcleyen bir grafik t\u00fcr\u00fcd\u00fcr:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Asgari de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130lk \u00e7eyrek (25. y\u00fczdelik dilim)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Medyan de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00dc\u00e7\u00fcnc\u00fc \u00e7eyrek (75. y\u00fczdelik dilim)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Maksimum de\u011fer<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir kutu grafi\u011fi olu\u015fturmak i\u00e7in \u00f6nce birinci \u00e7eyrekten \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fe kadar bir kutu \u00e7izeriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra ortancaya dikey bir \u00e7izgi \u00e7iziyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Son olarak \u00e7eyreklerin \u201cb\u0131y\u0131klar\u0131n\u0131\u201d minimum ve maksimum de\u011fere kadar \u00e7iziyoruz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-29584 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boite-aberrante1.jpg\" alt=\"\" width=\"424\" height=\"122\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7o\u011fu istatistik yaz\u0131l\u0131m\u0131nda, bir g\u00f6zlem<\/span> <span style=\"color: #000000;\">a\u015fa\u011f\u0131daki iki gereksinimden birini kar\u015f\u0131l\u0131yorsa ayk\u0131r\u0131 de\u011fer olarak tan\u0131mlan\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">G\u00f6zlem, ilk \u00e7eyre\u011fin (Q1) alt\u0131ndaki \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n 1,5 kat\u0131d\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">G\u00f6zlem, \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fin (Q3) \u00fczerindeki \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n 1,5 kat\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir veri setinde bir ayk\u0131r\u0131 de\u011fer mevcutsa, genellikle kutu grafi\u011findeki \u00e7izgi aral\u0131\u011f\u0131n\u0131n d\u0131\u015f\u0131nda k\u00fc\u00e7\u00fck bir nokta ile etiketlenir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-29585\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boite-aberrante2.jpg\" alt=\"kutu grafiklerinde ayk\u0131r\u0131 de\u011ferlerin nas\u0131l okunaca\u011f\u0131\" width=\"523\" height=\"178\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu ger\u00e7ekle\u015fti\u011finde, kutu grafi\u011findeki &#8220;minimum&#8221; ve &#8220;maksimum&#8221; de\u011ferlere s\u0131ras\u0131yla Q1 \u2013 1,5*IQR ve Q3 + 1,5*IQR de\u011ferleri atan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, kutu grafiklerinin ayk\u0131r\u0131 de\u011ferlerle ve ayk\u0131r\u0131 de\u011ferler olmadan nas\u0131l yorumlanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: Ayk\u0131r\u0131 De\u011ferlerle Kutu Grafi\u011finin Yorumlanmas\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0130ki farkl\u0131 tak\u0131mdan basketbolcular\u0131n att\u0131\u011f\u0131 puanlar\u0131n da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki iki kutu grafi\u011fini olu\u015fturdu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-29586 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boite-aberrante3.jpg\" alt=\"\" width=\"504\" height=\"432\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A Tak\u0131m\u0131n\u0131n sol kutu grafi\u011finde minimum veya maksimum b\u0131y\u0131k d\u0131\u015f\u0131nda k\u00fc\u00e7\u00fck noktalar bulunmad\u0131\u011f\u0131ndan ayk\u0131r\u0131 de\u011ferler yoktur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bununla birlikte, B Tak\u0131m\u0131 i\u00e7in sa\u011fdaki kutu grafi\u011fi &#8220;maksimum&#8221; de\u011ferin \u00fczerinde bir ayk\u0131r\u0131 de\u011fere ve &#8220;minimum&#8221; de\u011ferin alt\u0131nda bir ayk\u0131r\u0131 de\u011fere sahiptir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">B Tak\u0131m\u0131 i\u00e7in \u201cPuan\u201d de\u011fi\u015fkeninin da\u011f\u0131l\u0131m\u0131na ili\u015fkin mevcut be\u015f haneli \u00f6zet:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Minimum de\u011fer: 1,1<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130lk \u00e7eyrek: 10,5<\/span><\/li>\n<li> <span style=\"color: #000000;\">Medyan: 12,7<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00dc\u00e7\u00fcnc\u00fc \u00e7eyrek: 15,6<\/span><\/li>\n<li> <span style=\"color: #000000;\">Maksimum de\u011fer: 23,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Potansiyel ayk\u0131r\u0131 de\u011ferlerin s\u0131n\u0131rlar\u0131n\u0131 \u015fu \u015fekilde hesaplayabilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00c7eyrekler aras\u0131 \u00f6l\u00e7ek<\/strong> : \u00dc\u00e7\u00fcnc\u00fc \u00e7eyrek \u2013 Birinci \u00e7eyrek = 15,6 \u2013 10,5 = 5,1<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Alt s\u0131n\u0131r<\/strong> : Q1 \u2013 1,5*IQR = 10,5 \u2013 1,5*5,1 = 2,85<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00dcst s\u0131n\u0131r<\/strong> : Q3 + 1,5*IQR = 15,6 + 1,5*5,1 = 23,25<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kutu grafi\u011findeki minimum ve maksimum de\u011ferlere ili\u015fkin b\u0131y\u0131klar <strong>2,85<\/strong> ve <strong>23,25&#8217;e<\/strong> yerle\u015ftirilmi\u015ftir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla, <strong>1,1<\/strong> ve <strong>23,5<\/strong> de\u011ferlerine sahip g\u00f6zlemlerin her ikisi de, alt ve \u00fcst s\u0131n\u0131rlar\u0131n d\u0131\u015f\u0131nda kald\u0131klar\u0131 i\u00e7in kutu grafi\u011finde ayk\u0131r\u0131 de\u011fer olarak nitelendirilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Bonus<\/strong> : \u0130\u015fte bu iki kutu grafi\u011fini R programlama dilinde olu\u015fturmak i\u00e7in kulland\u0131\u011f\u0131m\u0131z kodun tamam\u0131:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (ggplot2)\n\n<span style=\"color: #008080;\">#make this example reproducible \n<\/span>set. <span style=\"color: #3366ff;\">seeds<\/span> (2)\n\n<span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (Team = factor(rep(c(\"A\", \"B\"), each = 200)), \n                 Points = c(rnorm(200, mean = 15, sd = 3), \n                           rnorm(200, mean = 12, sd = 4))) \n\n<span style=\"color: #008080;\">#create box plots\n<\/span>ggplot(df, aes(x = Team, y = Points)) +\n  stat_boxplot(geom = \" <span style=\"color: #ff0000;\">errorbar<\/span> \", width = 0.5) +  \n  geom_boxplot() \n\n<span style=\"color: #008080;\">#calculate summary statistics for each team\n<\/span>tapply(df$Points, df$Team, summary)\n<\/strong><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler kutu grafikleri hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/kutu-grafiklerini-karsilastir\/\" target=\"_blank\" rel=\"noopener\">Kutu Grafikleri Nas\u0131l Kar\u015f\u0131la\u015ft\u0131r\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kutu-grafigi-simetrisi\/\" target=\"_blank\" rel=\"noopener\">Kutu Grafiklerinde Asimetri Nas\u0131l Belirlenir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kutu-grafiginin-iqrsi-nasil-bulunur\/\" target=\"_blank\" rel=\"noopener\">Bir kutu grafi\u011finin \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 nas\u0131l bulunur?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kutu grafi\u011fi, a\u015fa\u011f\u0131dakileri i\u00e7eren bir veri k\u00fcmesinin be\u015f basamakl\u0131 \u00f6zetini g\u00f6r\u00fcnt\u00fcleyen bir grafik t\u00fcr\u00fcd\u00fcr: Asgari de\u011fer \u0130lk \u00e7eyrek (25. y\u00fczdelik dilim) Medyan de\u011fer \u00dc\u00e7\u00fcnc\u00fc \u00e7eyrek (75. y\u00fczdelik dilim) Maksimum de\u011fer Bir kutu grafi\u011fi olu\u015fturmak i\u00e7in \u00f6nce birinci \u00e7eyrekten \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fe kadar bir kutu \u00e7izeriz. Daha sonra ortancaya dikey bir \u00e7izgi \u00e7iziyoruz. Son olarak \u00e7eyreklerin \u201cb\u0131y\u0131klar\u0131n\u0131\u201d [&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-3584","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>Ayk\u0131r\u0131 De\u011ferler \u0130\u00e7eren Bir Kutu Grafi\u011fi Nas\u0131l Okunur (\u00d6rnekle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde ayk\u0131r\u0131 de\u011ferler i\u00e7eren bir kutu grafi\u011finin nas\u0131l okunaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/aykiri-degerler-iceren-bir-kutu-grafigi-nasil-okunur\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ayk\u0131r\u0131 De\u011ferler \u0130\u00e7eren Bir Kutu Grafi\u011fi Nas\u0131l Okunur (\u00d6rnekle) - 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