{"id":1419,"date":"2023-07-26T11:28:32","date_gmt":"2023-07-26T11:28:32","guid":{"rendered":"https:\/\/statorials.org\/tr\/ondalik-sayilarla-kok-ve-yaprak-diyagrami\/"},"modified":"2023-07-26T11:28:32","modified_gmt":"2023-07-26T11:28:32","slug":"ondalik-sayilarla-kok-ve-yaprak-diyagrami","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ondalik-sayilarla-kok-ve-yaprak-diyagrami\/","title":{"rendered":"Ondal\u0131k say\u0131larla k\u00f6k ve yaprak grafi\u011fi nas\u0131l olu\u015fturulur"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/kok-ve-yaprak-diyagramlari\/\" target=\"_blank\" rel=\"noopener\">K\u00f6k ve yaprak grafi\u011fi,<\/a> bir veri k\u00fcmesindeki her de\u011feri bir &#8220;k\u00f6k&#8221; ve &#8220;yaprak&#8221; olarak b\u00f6lerek verileri g\u00f6r\u00fcnt\u00fcleyen bir grafik t\u00fcr\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri k\u00fcmesi:<\/strong> 12, 14, 18, 22, 22, 23, 25, 25, 28, 45, 47, 48<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her de\u011ferin ilk rakam\u0131n\u0131 &#8220;g\u00f6vde&#8221;, ikinci rakam\u0131n\u0131 da &#8220;yaprak&#8221; olarak tan\u0131mlarsak a\u015fa\u011f\u0131daki k\u00f6k ve yaprak diyagram\u0131n\u0131 olu\u015fturabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14036 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tigefeuilledecimal1-1.png\" alt=\"\" width=\"164\" height=\"247\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">K\u00f6k ve yaprak grafikleri genellikle tamsay\u0131 de\u011ferlerle kullan\u0131lsa da ondal\u0131k basamakl\u0131 de\u011ferler i\u00e7in de kullan\u0131labilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, ondal\u0131k say\u0131larla k\u00f6k ve yaprak grafiklerinin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Tek Ondal\u0131k Basamakl\u0131 G\u00f6vde ve Yaprak Grafi\u011fi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri k\u00fcmesi:<\/strong> 11.6, 12.2, 12.5, 12.6, 13.7, 13.8, 14.1, 15.2<\/span><\/p>\n<p> <span style=\"color: #000000;\">Virg\u00fclden \u00f6nceki say\u0131lar\u0131 k\u00f6k, virg\u00fclden sonraki say\u0131lar\u0131 da yaprak olarak tan\u0131mlarsak a\u015fa\u011f\u0131daki k\u00f6k ve yaprak diyagram\u0131n\u0131 olu\u015fturabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14037 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tigefeuilledecimal2.png\" alt=\"Ondal\u0131k say\u0131larla k\u00f6k ve yaprak diyagram\u0131\" width=\"152\" height=\"276\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu g\u00f6vde ve yaprak grafi\u011fini olu\u015ftururken, okuyucunun g\u00f6vde ve yaprak de\u011ferlerini nas\u0131l yorumlayaca\u011f\u0131n\u0131 bilmesi i\u00e7in alt tarafa bir <strong>anahtar<\/strong> eklemek \u00f6nemlidir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: \u00c7oklu Ondal\u0131k Basama\u011fa Sahip G\u00f6vde ve Yaprak Grafi\u011fi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri k\u00fcmesi:<\/strong> 3,26, 3,28, 3,34, 3,38, 3,41, 3,42, 3,44, 3,59, 3,63<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tam say\u0131y\u0131 ve virg\u00fclden sonraki ilk de\u011feri k\u00f6k, virg\u00fclden sonraki ikinci de\u011feri ise yaprak olarak ayarlarsak, a\u015fa\u011f\u0131daki k\u00f6k ve yaprak grafi\u011fini olu\u015fturabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14038 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tigefeuilledecimal3.png\" alt=\"\u0130ki ondal\u0131k basamakl\u0131 g\u00f6vde ve yaprak diyagram\u0131\" width=\"145\" height=\"283\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Yine grafi\u011fin alt k\u0131sm\u0131ndaki anahtar bize grafik de\u011ferlerinin nas\u0131l yorumlanaca\u011f\u0131n\u0131 anlat\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Bir K\u00f6k ve Yaprak Diyagram\u0131n\u0131 Ondal\u0131k Say\u0131larla Yorumlama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki ondal\u0131k say\u0131larla birlikte a\u015fa\u011f\u0131daki k\u00f6k ve yaprak diyagram\u0131na sahibiz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14039 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tigefeuilledecimal4.png\" alt=\"Ondal\u0131k \u00d6rnekli K\u00f6k ve Yaprak Diyagram\u0131\" width=\"148\" height=\"267\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru 1:<\/strong> Veri k\u00fcmesindeki maksimum de\u011fer nedir?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Maksimum de\u011fer <strong>8,3<\/strong> olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru 2:<\/strong> Veri setinin kapsam\u0131 nedir?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri k\u00fcmesinin aral\u0131\u011f\u0131 en b\u00fcy\u00fck ve en k\u00fc\u00e7\u00fck de\u011fer aras\u0131ndaki farkt\u0131r. Yani aral\u0131k 8,3 \u2013 4,5 = <strong>3,8<\/strong> olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru 3:<\/strong> Veri k\u00fcmesinin modu nedir?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mod, en s\u0131k g\u00f6r\u00fcnen de\u011ferdir. Bu <strong>8.2<\/strong> olurdu.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru 4:<\/strong> Veri setinin medyan\u0131 nedir?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Medyan, veri setinin \u201cortalama\u201d de\u011feri olarak tan\u0131mlan\u0131r. Bu de\u011feri bulmak i\u00e7in tek tek de\u011ferlerin her birini veri setine yaz\u0131p ortanca de\u011ferini bulabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri k\u00fcmesi: 4.5, 4.7, 4.9, 5.2, 5.4, <span style=\"color: #ff0000;\"><strong>6.1<\/strong><\/span> , 7.8, 8.2, 8.2, 8.2, 8.3<\/span><\/p>\n<p> <span style=\"color: #000000;\">Medyan <strong>6,1&#8217;dir<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/kok-ve-yaprak-diyagramlari\/\" target=\"_blank\" rel=\"noopener\">K\u00f6k ve Yaprak Grafiklerine Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/sirt-sirta-kok-ve-yaprak-diyagramlari\/\" target=\"_blank\" rel=\"noopener\">S\u0131rt s\u0131rta g\u00f6vde ve yaprak grafiklerine giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kok-ve-yaprak-diyagrami-olusturucu\/\" target=\"_blank\" rel=\"noopener\">K\u00f6k ve Yaprak Grafi\u011fi Olu\u015fturucu<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kok-ve-yaprak-grafigi-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de K\u00f6k ve Yaprak Grafi\u011fi Nas\u0131l Olu\u015fturulur<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>K\u00f6k ve yaprak grafi\u011fi, bir veri k\u00fcmesindeki her de\u011feri bir &#8220;k\u00f6k&#8221; ve &#8220;yaprak&#8221; olarak b\u00f6lerek verileri g\u00f6r\u00fcnt\u00fcleyen bir grafik t\u00fcr\u00fcd\u00fcr. \u00d6rne\u011fin a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m: Veri k\u00fcmesi: 12, 14, 18, 22, 22, 23, 25, 25, 28, 45, 47, 48 Her de\u011ferin ilk rakam\u0131n\u0131 &#8220;g\u00f6vde&#8221;, ikinci rakam\u0131n\u0131 da &#8220;yaprak&#8221; olarak tan\u0131mlarsak a\u015fa\u011f\u0131daki k\u00f6k 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-1419","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - 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