{"id":3260,"date":"2023-07-18T10:15:50","date_gmt":"2023-07-18T10:15:50","guid":{"rendered":"https:\/\/statorials.org\/tr\/araligin-onemi\/"},"modified":"2023-07-18T10:15:50","modified_gmt":"2023-07-18T10:15:50","slug":"araligin-onemi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/araligin-onemi\/","title":{"rendered":"I\u0307statistiklerde aral\u0131k neden \u00f6nemlidir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte <strong>aral\u0131k<\/strong> , bir veri k\u00fcmesindeki en k\u00fc\u00e7\u00fck ve en b\u00fcy\u00fck de\u011fer aras\u0131ndaki fark\u0131 temsil eder.<\/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;\">Veri k\u00fcmesi: 3, 4, 11, 15, 19, 19, 19, 22, 22, 23, 23, 26<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aral\u0131\u011f\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Aral\u0131k = Maksimum de\u011fer \u2013 Minimum de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\">Aral\u0131k = 26 \u2013 3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Aral\u0131k = 23<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Aral\u0131k <strong>23&#8217;t\u00fcr<\/strong> . Bu, veri k\u00fcmesindeki en k\u00fc\u00e7\u00fck ve en b\u00fcy\u00fck de\u011ferler aras\u0131ndaki fark\u0131 temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistiklerde aral\u0131k a\u015fa\u011f\u0131daki nedenlerden dolay\u0131 \u00f6nemlidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sebep 1<\/strong> : Bu bize t\u00fcm veri setinin da\u011f\u0131l\u0131m\u0131n\u0131 anlat\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sebep 2<\/strong> : Belirli bir veri setinde hangi u\u00e7 de\u011ferlerin m\u00fcmk\u00fcn oldu\u011funu bize s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler bu nedenlerin her birini pratikte g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sebep 1: Aral\u0131k bize t\u00fcm veri k\u00fcmesinin da\u011f\u0131l\u0131m\u0131n\u0131 anlat\u0131r<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Aral\u0131k bize t\u00fcm veri k\u00fcmesinin da\u011f\u0131l\u0131m\u0131n\u0131 anlat\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir s\u0131n\u0131ftaki 20 farkl\u0131 \u00f6\u011frencinin s\u0131nav puanlar\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-24765 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/modeimportant3.jpg\" alt=\"\" width=\"147\" height=\"542\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">S\u0131nav sonu\u00e7lar\u0131n\u0131n aral\u0131\u011f\u0131 a\u015fa\u011f\u0131daki \u015fekilde hesaplanacakt\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Aral\u0131k = Maksimum de\u011fer \u2013 Minimum de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\">Aral\u0131k = 98 \u2013 68<\/span><\/li>\n<li> <span style=\"color: #000000;\">Aral\u0131k = 30<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Aral\u0131k <b>30<\/b> olarak \u00e7\u0131k\u0131yor. Bu, s\u0131navdaki en y\u00fcksek not ile s\u0131n\u0131f\u0131n en d\u00fc\u015f\u00fck notu aras\u0131ndaki fark\u0131 temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6l\u00e7\u00fcm\u00fc kesin olarak bilen s\u0131n\u0131f \u00f6\u011fretmeni, s\u0131nav sonu\u00e7lar\u0131ndaki de\u011ferlerin t\u00fcm \u00f6\u011frenciler aras\u0131ndaki da\u011f\u0131l\u0131m\u0131n\u0131 h\u0131zl\u0131 bir \u015fekilde anlayabilir.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Sebep 2: Aral\u0131k bize belirli bir veri setinde hangi u\u00e7 de\u011ferlerin m\u00fcmk\u00fcn oldu\u011funu s\u00f6yler<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Aral\u0131k bize belirli bir veri setinde hangi u\u00e7 de\u011ferlerin m\u00fcmk\u00fcn oldu\u011funu s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir emlak\u00e7\u0131n\u0131n Amerika Birle\u015fik Devletleri&#8217;ndeki belirli bir \u015fehirdeki 100.000 evin sat\u0131\u015f fiyatlar\u0131n\u0131 i\u00e7eren bir veritaban\u0131na eri\u015fimi oldu\u011funu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-24763 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/modeimportant1.jpg\" alt=\"\" width=\"158\" height=\"247\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesinin aral\u0131\u011f\u0131n\u0131 hesaplamak ve a\u015fa\u011f\u0131dakileri bulmak i\u00e7in istatistiksel yaz\u0131l\u0131m ( Excel , R , Python vb. gibi) kulland\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Aral\u0131k = maksimum de\u011fer \u2013 minimum de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\">Aral\u0131k = 854.000 \u2013 194.000<\/span><\/li>\n<li> <span style=\"color: #000000;\">Aral\u0131k = 660.000<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">E\u011fer emlak\u00e7\u0131n\u0131n sat\u0131n alma b\u00fct\u00e7esi 194.000 $&#8217;dan az veya 854.000 $&#8217;dan fazla olan bir m\u00fc\u015fterisi varsa, emlak\u00e7\u0131 o \u015fehirdeki hi\u00e7bir evin sat\u0131n alma kriterlerini kar\u015f\u0131lamayaca\u011f\u0131n\u0131 hemen bilebilir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Plaj\u0131 kullanman\u0131n arka plan\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Aral\u0131\u011f\u0131n bir dezavantaj\u0131 vard\u0131r: <strong>Ayk\u0131r\u0131 de\u011ferlerden etkilenir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu g\u00f6stermek i\u00e7in a\u015fa\u011f\u0131daki veri k\u00fcmesini g\u00f6z \u00f6n\u00fcnde bulundurun:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri seti:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesinin aral\u0131\u011f\u0131 32 \u2013 1 = <strong>31&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak veri k\u00fcmesinin a\u015f\u0131r\u0131 u\u00e7 de\u011ferlere sahip olup olmad\u0131\u011f\u0131n\u0131 g\u00f6z \u00f6n\u00fcnde bulundurun:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri seti:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32, <strong>378<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesinin aral\u0131\u011f\u0131 art\u0131k 378 \u2013 1 = <strong>377<\/strong> olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir ayk\u0131r\u0131 de\u011fer nedeniyle aral\u0131\u011f\u0131n nas\u0131l b\u00fcy\u00fck \u00f6l\u00e7\u00fcde de\u011fi\u015fti\u011fine dikkat edin.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir veri k\u00fcmesinin aral\u0131\u011f\u0131n\u0131 hesaplamadan \u00f6nce, aral\u0131\u011f\u0131 yan\u0131lt\u0131c\u0131 hale getirebilecek ayk\u0131r\u0131 de\u011ferlerin olup olmad\u0131\u011f\u0131n\u0131 kontrol etmek iyi bir fikirdir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler istatistikteki di\u011fer \u00f6nlemlerin \u00f6nemini a\u00e7\u0131klamaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ortalamanin-onemi\/\" target=\"_blank\" rel=\"noopener\">\u0130statistiklerde ortalama neden \u00f6nemlidir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/medyanin-onemi\/\" target=\"_blank\" rel=\"noopener\">Medyan istatistikte neden \u00f6nemlidir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/modun-onemi\/\" target=\"_blank\" rel=\"noopener\">\u0130statistiklerde mod neden \u00f6nemlidir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/standart-sapma-neden-onemlidir\/\" target=\"_blank\" rel=\"noopener\">\u0130statistikte standart sapma neden \u00f6nemlidir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte aral\u0131k , bir veri k\u00fcmesindeki en k\u00fc\u00e7\u00fck ve en b\u00fcy\u00fck de\u011fer aras\u0131ndaki fark\u0131 temsil eder. \u00d6rne\u011fin a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m: Veri k\u00fcmesi: 3, 4, 11, 15, 19, 19, 19, 22, 22, 23, 23, 26 Aral\u0131\u011f\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz: Aral\u0131k = Maksimum de\u011fer \u2013 Minimum de\u011fer Aral\u0131k = 26 \u2013 3 [&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-3260","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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