{"id":133,"date":"2023-08-05T02:57:21","date_gmt":"2023-08-05T02:57:21","guid":{"rendered":"https:\/\/statorials.org\/tr\/kok-ve-yaprak-diyagrami\/"},"modified":"2023-08-05T02:57:21","modified_gmt":"2023-08-05T02:57:21","slug":"kok-ve-yaprak-diyagrami","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kok-ve-yaprak-diyagrami\/","title":{"rendered":"K\u00f6k ve yaprak diyagram\u0131"},"content":{"rendered":"

Bu makale istatistikte k\u00f6k ve yaprak diyagramlar\u0131n\u0131n ne oldu\u011funu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 a\u00e7\u0131klamaktad\u0131r. Bu nedenle bir k\u00f6k-yaprak diyagram\u0131n\u0131n nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131, bu t\u00fcr istatistiksel grafikler i\u00e7in \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rmalar\u0131 ve son olarak k\u00f6k-yaprak diyagram\u0131n\u0131n avantaj ve dezavantajlar\u0131n\u0131n neler oldu\u011funu ke\u015ffedeceksiniz. <\/p>\n

<\/span> K\u00f6k-yaprak diyagram\u0131 nedir?<\/span><\/h2>\n

K\u00f6k ve yaprak diyagram\u0131,<\/strong> bir dizi niceliksel verinin temsil edildi\u011fi bir t\u00fcr istatistiksel diyagramd\u0131r.<\/p>\n

Bir k\u00f6k-yaprak diyagram\u0131nda, her veri noktas\u0131, son rakam\u0131 olan yaprak<\/strong> ve geri kalan rakamlar olan k\u00f6k<\/strong> ile ayr\u0131l\u0131r. Yani bir g\u00f6vde-yaprak diyagram\u0131nda her yaprak, kar\u015f\u0131l\u0131k gelen g\u00f6vde \u00e7izgisine yerle\u015ftirilir. <\/p>\n

\"sap<\/figure>\n

Bu \u015fekilde, g\u00f6vde ve yaprak grafikleri bir dizi istatistiksel veriyi grafiksel olarak temsil etmeye ve ayr\u0131ca da\u011f\u0131l\u0131m\u0131n \u015feklinin g\u00f6rselle\u015ftirilmesine yard\u0131mc\u0131 olur.<\/p>\n

K\u00f6k ve yaprak diyagram\u0131 ayn\u0131 zamanda \u0130ngilizceden gelen bir isim olan k\u00f6k ve yaprak diyagram\u0131<\/em> olarak da bilinir.<\/p>\n

K\u00f6k ve yaprak \u00e7izimi histograma<\/a> \u00e7ok benzer, ancak bu di\u011fer istatistiksel grafik t\u00fcr\u00fc daha b\u00fcy\u00fck numune boyutlar\u0131 i\u00e7in kullan\u0131l\u0131r. <\/p>\n

<\/span> K\u00f6k ve Yaprak Diyagram\u0131 Nas\u0131l Yap\u0131l\u0131r<\/span><\/h2>\n

K\u00f6k ve yaprak diyagram\u0131 olu\u015fturmak<\/strong> i\u00e7in \u015fu ad\u0131mlar\u0131 izleyin:<\/p>\n

    \n
  1. Verileri en k\u00fc\u00e7\u00fckten en b\u00fcy\u00fc\u011fe s\u0131ralay\u0131n.<\/span><\/li>\n
  2. Gerekirse say\u0131lar\u0131 istenilen rakam say\u0131s\u0131na ula\u015f\u0131ncaya kadar yuvarlay\u0131n.<\/span><\/li>\n
  3. Sap ile yaprak aras\u0131nda hangi \u015fekilde kesim yap\u0131laca\u011f\u0131na karar verin, yani yapraklar\u0131n sahip olaca\u011f\u0131 fig\u00fcr say\u0131s\u0131n\u0131 belirleyin. Tipik olarak sayfa, her veri \u00f6\u011fesinin yaln\u0131zca son rakam\u0131n\u0131 i\u00e7erecek \u015fekilde tasarlanm\u0131\u015ft\u0131r.<\/span><\/li>\n
  4. Her bir veri par\u00e7as\u0131n\u0131 k\u00f6k ve yaprak diyagram\u0131nda temsil edin. G\u00f6vdeler sol s\u00fctuna artan s\u0131rada yerle\u015ftirilirken, yapraklar sa\u011f s\u00fctuna kar\u015f\u0131l\u0131k gelen g\u00f6vde y\u00fcksekli\u011finde ve artan s\u0131rada yerle\u015ftirilir.<\/span> <\/li>\n<\/ol>\n

    <\/span> K\u00f6k ve Yaprak Grafi\u011fi \u00d6rne\u011fi<\/span><\/h2>\n

    Bir k\u00f6k ve yaprak diyagram\u0131n\u0131n nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6rebilmeniz i\u00e7in a\u015fa\u011f\u0131da iki \u00f6rne\u011fi \u00e7\u00f6z\u00fcyoruz: biri ondal\u0131k say\u0131lar olmadan, di\u011feri ondal\u0131k say\u0131lar ile.<\/p>\n

    <\/span> \u00f6rnek 1<\/span><\/h3>\n
      \n
    • A\u015fa\u011f\u0131daki veri serilerini bir g\u00f6vde ve yaprak diyagram\u0131nda \u00e7izin: <\/li>\n<\/ul>\n
      \"\"<\/figure>\n

      Bu durumda veriler zaten s\u0131ralanm\u0131\u015f ve yuvarlanm\u0131\u015ft\u0131r, dolay\u0131s\u0131yla bu iki ad\u0131m\u0131 ger\u00e7ekle\u015ftirmeye gerek yoktur. Yani say\u0131lar iki basamakl\u0131 oldu\u011fundan, zamanlar grafi\u011fin k\u00f6k, birler ise yapraklar\u0131 olacak \u015fekilde temsil edilecektir.<\/p>\n

      \u0130lk \u00f6nce diyagram\u0131n k\u00f6k\u00fcn\u00fc temsil edece\u011fiz. Verilerin zaman\u0131 9’a kadar \u00e7\u0131k\u0131yor, dolay\u0131s\u0131yla her on i\u00e7in bir sat\u0131r olu\u015fturuyoruz:<\/p>\n<\/p>\n

      \"\\begin{array}{c|cc}\\text{Tallo}&\\text{Hoja}\\\\<\/p>\n<\/p>\n

      Daha sonra yapraklar\u0131 temsil ediyoruz, bunun i\u00e7in her verinin birimini kar\u015f\u0131l\u0131k gelen sat\u0131ra yerle\u015ftiriyoruz. \u00d6rne\u011fin 57 say\u0131s\u0131 5’in k\u00f6k\u00fcne gidecek ve sa\u011fdaki s\u00fctuna 7 ekleyece\u011fiz.<\/p>\n<\/p>\n

      \"\\begin{array}{c|cccc}\\text{Tallo}&\\multicolumn{3}{l}{\\text{Hoja}}\\\\<\/p>\n<\/p>\n

      Ve bu \u015fekilde t\u00fcm \u00f6rnek veriler k\u00f6k ve yaprak grafi\u011finde temsil edildi.<\/p>\n

      <\/span> \u00d6rnek 2<\/span><\/h3>\n
        \n
      • A\u015fa\u011f\u0131daki iki veri \u00f6rne\u011fini k\u00f6k ve yaprak grafi\u011fini kullanarak ondal\u0131k say\u0131larla kar\u015f\u0131la\u015ft\u0131r\u0131n. <\/li>\n<\/ul>\n
        \n
        \n
        \"\"<\/figure>\n<\/div>\n
        \n
        \"\"<\/figure>\n<\/div>\n<\/div>\n

        Bu al\u0131\u015ft\u0131rmada g\u00f6rece\u011finiz gibi, iki istatistiksel \u00f6rne\u011fi temsil etmek i\u00e7in tek bir k\u00f6k-yaprak grafi\u011fi kullan\u0131labilir. Bu nedenle, her iki veri k\u00fcmesini de ayn\u0131 k\u00f6k ve yaprak grafi\u011fine \u00e7izece\u011fiz: biri solda, di\u011feri sa\u011fda. Bu t\u00fcr \u00e7izime \u00e7ift g\u00f6vdeli g\u00f6vde ve yaprak grafi\u011fi<\/strong> denir.<\/p>\n

        Bu durumda say\u0131lar\u0131n tamam\u0131n\u0131 diyagram\u0131n k\u00f6k\u00fc olarak alaca\u011f\u0131z, ondal\u0131k say\u0131lar ise diyagram\u0131n yapraklar\u0131 olacakt\u0131r. Bu nedenle t\u00fcm par\u00e7alar\u0131 yerle\u015ftirerek g\u00f6vde ve yaprak d\u00fczenini olu\u015fturuyoruz:<\/p>\n<\/p>\n

        \"\\begin{array}{c|c|cc}\\text{Hoja}&\\text{Tallo}&\\text{Hoja}\\\\<\/p>\n<\/p>\n

        \u015eimdi her verinin sayfas\u0131n\u0131 ona kar\u015f\u0131l\u0131k gelen k\u00f6ke yerle\u015ftiriyoruz:<\/p>\n<\/p>\n

        \"\\begin{array}{ccccccc|c|ccccc}\\multicolumn{6}{r}{\\text{Hoja}}&&\\text{Tallo}&&\\multicolumn{4}{l}{\\text{Hoja}}\\\\<\/p>\n<\/p>\n

        Verileri grafiksel olarak temsil ederek kolayca kar\u015f\u0131la\u015ft\u0131rabiliriz. Spesifik olarak, sa\u011fdaki \u00f6rnek verinin soldaki \u00f6rnekten biraz daha b\u00fcy\u00fck oldu\u011funu, dolay\u0131s\u0131yla ortalamas\u0131n\u0131n da daha b\u00fcy\u00fck olaca\u011f\u0131n\u0131 g\u00f6r\u00fcyoruz. Dolay\u0131s\u0131yla istatistiksel \u00e7al\u0131\u015fman\u0131n amac\u0131na ba\u011fl\u0131 olarak \u015fu veya bu \u00f6rne\u011fi se\u00e7mekle ilgilenece\u011fiz.<\/p>\n

        Sadece e\u011fik \u00e7izgi ve b\u0131\u00e7ak grafi\u011finin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 bilmeniz gerekmedi\u011fini, ayn\u0131 zamanda grafi\u011fi nas\u0131l yorumlayaca\u011f\u0131n\u0131z\u0131 da bilmeniz gerekti\u011fini unutmay\u0131n. <\/p>\n

        <\/span> K\u00f6k ve Yaprak Grafi\u011finin Avantajlar\u0131 ve Dezavantajlar\u0131<\/span><\/h2>\n

        G\u00f6vde ve yaprak parselinin \u00f6zelliklerinden dolay\u0131 bu t\u00fcr parsellerin a\u015fa\u011f\u0131daki avantaj ve dezavantajlar\u0131 vard\u0131r:<\/p>\n

        Avantaj\u0131:<\/u><\/strong><\/p>\n

          \n
        • Saplar\u0131 ve yapraklar\u0131 takip etmek bir da\u011f\u0131l\u0131m\u0131n \u015feklini g\u00f6rmenizi sa\u011flar.<\/span><\/li>\n
        • \u00c7ift g\u00f6vdeli g\u00f6vde ve yaprak grafi\u011fi kullan\u0131larak iki da\u011f\u0131l\u0131m kar\u015f\u0131la\u015ft\u0131r\u0131labilir.<\/span><\/li>\n
        • Bir veri k\u00fcmesindeki ayk\u0131r\u0131 de\u011ferleri h\u0131zl\u0131 bir \u015fekilde tan\u0131mlaman\u0131za olanak tan\u0131r.<\/span><\/li>\n
        • Veri serisinin modunu g\u00f6zle belirleyebilirsiniz.<\/span><\/li>\n<\/ul>\n

          Dezavantajlar\u0131:<\/u><\/strong><\/p>\n

            \n
          • Bilgisayar yaz\u0131l\u0131m\u0131 h\u0131zla daha karma\u015f\u0131k bir grafik olu\u015fturabildi\u011finden, g\u00f6vde ve yaprak diyagram\u0131 giderek daha az kullan\u0131lmaktad\u0131r.<\/span><\/li>\n
          • Temsil edilecek \u00f6rnek boyutu s\u0131n\u0131rl\u0131d\u0131r; genellikle 15 ila 150 veri noktas\u0131 aras\u0131ndad\u0131r.<\/span><\/li>\n
          • Yaln\u0131zca niceliksel veriler temsil edilebilir.<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

            Bu makale istatistikte k\u00f6k ve yaprak diyagramlar\u0131n\u0131n ne oldu\u011funu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 a\u00e7\u0131klamaktad\u0131r. Bu nedenle bir k\u00f6k-yaprak diyagram\u0131n\u0131n nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131, bu t\u00fcr istatistiksel grafikler i\u00e7in \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rmalar\u0131 ve son olarak k\u00f6k-yaprak diyagram\u0131n\u0131n avantaj ve dezavantajlar\u0131n\u0131n neler oldu\u011funu ke\u015ffedeceksiniz. K\u00f6k-yaprak diyagram\u0131 nedir? K\u00f6k ve yaprak diyagram\u0131, bir dizi niceliksel verinin temsil edildi\u011fi bir t\u00fcr istatistiksel […]<\/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-133","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"\n\u25b7 K\u00f6k ve yaprak diyagram\u0131 nedir? 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