{"id":3259,"date":"2023-07-18T10:23:15","date_gmt":"2023-07-18T10:23:15","guid":{"rendered":"https:\/\/statorials.org\/tr\/gruplandirilmis-veri-araligi\/"},"modified":"2023-07-18T10:23:15","modified_gmt":"2023-07-18T10:23:15","slug":"gruplandirilmis-veri-araligi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/gruplandirilmis-veri-araligi\/","title":{"rendered":"Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131n\u0131 bulma: \u00f6rneklerle"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u00c7o\u011fu zaman bir \u015fekilde bir arada grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131n\u0131 hesaplamak isteriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Aral\u0131\u011f\u0131n,<\/strong> bir veri k\u00fcmesindeki en b\u00fcy\u00fck ve en k\u00fc\u00e7\u00fck de\u011fer aras\u0131ndaki fark\u0131 temsil etti\u011fini unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki grupland\u0131r\u0131lm\u0131\u015f verilere sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14462 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mean_sd_grouped1.png\" alt=\"\" width=\"211\" height=\"223\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/islenmemis-veri\/\" target=\"_blank\" rel=\"noopener\">Ham veri de\u011ferlerini<\/a> bilmedi\u011fimiz i\u00e7in tam aral\u0131\u011f\u0131 hesaplamak m\u00fcmk\u00fcn olmasa da a\u015fa\u011f\u0131daki form\u00fcllerden birini kullanarak aral\u0131\u011f\u0131 tahmin etmek m\u00fcmk\u00fcnd\u00fcr:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Form\u00fcl 1: \u00dcst ve alt s\u0131n\u0131rlar\u0131 kullan\u0131n<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = U <sub>maks<\/sub> \u2013 L <sub>min<\/sub><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>U<\/strong> : Maksimum aral\u0131\u011f\u0131n \u00fcst s\u0131n\u0131r\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>L<\/strong> : Minimum aral\u0131\u011f\u0131n alt s\u0131n\u0131r\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Form\u00fcl 2: Orta noktalar\u0131 kullan\u0131n<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grupland\u0131r\u0131lm\u0131\u015f Veri Aral\u0131\u011f\u0131 = <sub>Maksimum<\/sub> Orta Nokta \u2013 <sub>Min<\/sub> Orta Nokta<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><sub>Max<\/sub> Mid<\/strong> : Maksimum aral\u0131\u011f\u0131n orta noktas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Orta <sub>dakika<\/sub><\/strong> : Minimum aral\u0131\u011f\u0131n orta noktas\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler her form\u00fcl\u00fcn pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131n\u0131 hesaplama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir s\u0131n\u0131ftaki 40 \u00f6\u011frencinin not verdi\u011fi s\u0131nav\u0131 g\u00f6steren a\u015fa\u011f\u0131daki frekans da\u011f\u0131l\u0131m\u0131na sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-24369 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/modefreq1.jpg\" alt=\"\" width=\"247\" height=\"223\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her form\u00fcl\u00fc kullanarak bu grupland\u0131r\u0131lm\u0131\u015f verilerin aral\u0131\u011f\u0131n\u0131 nas\u0131l hesaplayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Form\u00fcl 1: \u00dcst ve alt s\u0131n\u0131rlar\u0131 kullan\u0131n<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = U <sub>maks<\/sub> \u2013 L <sub>min<\/sub><\/span><\/li>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = 100 \u2013 51<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = 49<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl\u00fc kullanarak aral\u0131\u011f\u0131n <strong>49<\/strong> olaca\u011f\u0131n\u0131 tahmin ediyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Form\u00fcl 2: Orta noktalar\u0131 kullan\u0131n<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f Veri Aral\u0131\u011f\u0131 = <sub>Maksimum<\/sub> Orta Nokta \u2013 <sub>Min<\/sub> Orta Nokta<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = (100+91)\/2 \u2013 (60+51)\/2<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = 95,5 \u2013 55,5<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = 40<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl\u00fc kullanarak aral\u0131\u011f\u0131n <strong>40<\/strong> olaca\u011f\u0131n\u0131 tahmin ediyoruz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131n\u0131 hesaplama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">60 basketbolcunun ma\u00e7 ba\u015f\u0131na att\u0131\u011f\u0131 say\u0131y\u0131 g\u00f6steren a\u015fa\u011f\u0131daki frekans da\u011f\u0131l\u0131m\u0131na sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-24370 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/modefreq2.jpg\" alt=\"\" width=\"248\" height=\"219\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her form\u00fcl\u00fc kullanarak bu grupland\u0131r\u0131lm\u0131\u015f verilerin aral\u0131\u011f\u0131n\u0131 nas\u0131l hesaplayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Form\u00fcl 1: \u00dcst ve alt s\u0131n\u0131rlar\u0131 kullan\u0131n<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = U <sub>maks<\/sub> \u2013 L <sub>min<\/sub><\/span><\/li>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = 50 \u2013 1<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = 49<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl\u00fc kullanarak aral\u0131\u011f\u0131n <strong>49<\/strong> olaca\u011f\u0131n\u0131 tahmin ediyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Form\u00fcl 2: Orta noktalar\u0131 kullan\u0131n<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f Veri Aral\u0131\u011f\u0131 = <sub>Maksimum<\/sub> Orta Nokta \u2013 <sub>Min<\/sub> Orta Nokta<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = (50+41)\/2 \u2013 (1+10)\/2<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = 45,5 \u2013 5,5<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131 = 40<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl\u00fc kullanarak aral\u0131\u011f\u0131n <strong>40<\/strong> olaca\u011f\u0131n\u0131 tahmin ediyoruz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde grupland\u0131r\u0131lm\u0131\u015f verilerle di\u011fer ortak i\u015flemlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ortalama-standart-sapma-havuzlanmis-veriler\/\" target=\"_blank\" rel=\"noopener\">Grupland\u0131r\u0131lm\u0131\u015f verilerin ortalamas\u0131n\u0131 ve standart sapmas\u0131n\u0131 bulma<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/gruplandirilmis-verilerin-medyani\/\" target=\"_blank\" rel=\"noopener\">Grupland\u0131r\u0131lm\u0131\u015f verilerin medyan\u0131 nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/gruplandirilmis-verilerin-varyansi\/\">Grupland\u0131r\u0131lm\u0131\u015f verilerin varyans\u0131 nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/gruplandirilmis-veriler-icin-yuzdelik-siralama\/\" target=\"_blank\" rel=\"noopener\">Grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in y\u00fczdelik s\u0131ralama nas\u0131l hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c7o\u011fu zaman bir \u015fekilde bir arada grupland\u0131r\u0131lm\u0131\u015f veri aral\u0131\u011f\u0131n\u0131 hesaplamak isteriz. Aral\u0131\u011f\u0131n, bir veri k\u00fcmesindeki en b\u00fcy\u00fck ve en k\u00fc\u00e7\u00fck de\u011fer aras\u0131ndaki fark\u0131 temsil etti\u011fini unutmay\u0131n. \u00d6rne\u011fin, a\u015fa\u011f\u0131daki grupland\u0131r\u0131lm\u0131\u015f verilere sahip oldu\u011fumuzu varsayal\u0131m: Ham veri de\u011ferlerini bilmedi\u011fimiz i\u00e7in tam aral\u0131\u011f\u0131 hesaplamak m\u00fcmk\u00fcn olmasa da a\u015fa\u011f\u0131daki form\u00fcllerden birini kullanarak aral\u0131\u011f\u0131 tahmin etmek m\u00fcmk\u00fcnd\u00fcr: Form\u00fcl 1: \u00dcst [&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-3259","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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