{"id":2075,"date":"2023-07-23T20:00:46","date_gmt":"2023-07-23T20:00:46","guid":{"rendered":"https:\/\/statorials.org\/tr\/nokta-grafiginin-merkezi-ve-yayilmasi\/"},"modified":"2023-07-23T20:00:46","modified_gmt":"2023-07-23T20:00:46","slug":"nokta-grafiginin-merkezi-ve-yayilmasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/nokta-grafiginin-merkezi-ve-yayilmasi\/","title":{"rendered":"Nokta grafi\u011finin merkezi ve yay\u0131l\u0131m\u0131 nas\u0131l bulunur?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Nokta grafi\u011fi,<\/strong> y\u0131\u011f\u0131lm\u0131\u015f noktalar\u0131 kullanarak bir veri k\u00fcmesindeki de\u011ferlerin frekanslar\u0131n\u0131 g\u00f6r\u00fcnt\u00fcleyen bir grafik t\u00fcr\u00fcd\u00fcr.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19309 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pointcenter1.png\" alt=\"\" width=\"482\" height=\"147\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7o\u011funlukla bir nokta grafi\u011fi olu\u015fturdu\u011fumuzda merkezi ve da\u011f\u0131l\u0131m\u0131 \u00f6l\u00e7mek isteriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Merkez<\/strong> : Veri k\u00fcmesinin merkez noktas\u0131. Bunu \u00f6l\u00e7mek i\u00e7in s\u0131kl\u0131kla medyan\u0131 kullan\u0131r\u0131z.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Spread<\/strong> : Veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131. Bunu \u00f6l\u00e7mek i\u00e7in s\u0131kl\u0131kla aral\u0131\u011f\u0131 kullan\u0131r\u0131z.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Yaln\u0131zca bu iki de\u011feri bilerek, de\u011ferlerin belirli bir veri setinde nas\u0131l da\u011f\u0131ld\u0131\u011f\u0131na dair iyi bir fikir edinebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, pratikte bir nokta grafi\u011finin merkezinin ve kapsam\u0131n\u0131n nas\u0131l bulunaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Ger\u00e7ekle\u015ftirilen hatalar\u0131n nokta diyagram\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki nokta grafi\u011fi belirli bir oyunda basketbol oyuncular\u0131 taraf\u0131ndan yap\u0131lan faul say\u0131s\u0131n\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19310 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pointcentre2.png\" alt=\"\" width=\"357\" height=\"162\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu veri setindeki de\u011ferlerin merkezini ve da\u011f\u0131l\u0131m\u0131n\u0131 \u015fu \u015fekilde bulabilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Merkez<\/strong> : Veri setinin \u201cmerkezini\u201d \u00f6l\u00e7mek i\u00e7in medyan\u0131 kullanabiliriz. Medyan, veri setinin orta de\u011ferini temsil eder. Bu \u00f6zel veri k\u00fcmesinin medyan\u0131n\u0131 bulmak i\u00e7in her de\u011feri listeleyebilir ve medyan de\u011ferini tan\u0131mlayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri de\u011ferleri: 1, 1, 1, 1, 2, <span style=\"color: #ff0000;\"><strong>2<\/strong><\/span> , 2, 3, 4, 5, 5<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesindeki medyan de\u011fer <strong>2&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Spread<\/strong> : De\u011ferlerin veri k\u00fcmesindeki \u201cyay\u0131l\u0131m\u0131n\u0131\u201d \u00f6l\u00e7mek i\u00e7in range kullanabiliriz. Aral\u0131k, en b\u00fcy\u00fck ve en k\u00fc\u00e7\u00fck de\u011fer aras\u0131ndaki fark\u0131 temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri setinde en b\u00fcy\u00fck de\u011ferin 5, en k\u00fc\u00e7\u00fck de\u011ferin ise 1 oldu\u011funu g\u00f6r\u00fcyoruz, dolay\u0131s\u0131yla aral\u0131k \u015fu \u015fekilde hesaplanabilir: 5 \u2013 1 = <strong>4<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Test Sonu\u00e7lar\u0131n\u0131n Nokta Grafi\u011fi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki nokta grafi\u011fi belirli bir s\u0131n\u0131ftaki \u00f6\u011frencilerin test sonu\u00e7lar\u0131n\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19312 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pointcentre3.png\" alt=\"\" width=\"468\" height=\"153\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu veri setindeki de\u011ferlerin merkezini ve da\u011f\u0131l\u0131m\u0131n\u0131 \u015fu \u015fekilde bulabilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Merkez<\/strong> : Veri setinin \u201cmerkezini\u201d \u00f6l\u00e7mek i\u00e7in medyan\u0131 kullanabiliriz. Bu \u00f6zel veri k\u00fcmesinin medyan\u0131n\u0131 bulmak i\u00e7in her de\u011feri listeleyebilir ve medyan de\u011ferini tan\u0131mlayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri de\u011ferleri: 85, 85, 85, 85, 86, 86, <span style=\"color: #ff0000;\"><strong>86<\/strong><\/span> , <span style=\"color: #ff0000;\"><strong>87<\/strong><\/span> , 87 , 87, 88, 88, 89, 89, 90, 91<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri seti \u00e7ift say\u0131da de\u011fere sahiptir, dolay\u0131s\u0131yla medyan ortadaki iki de\u011ferin ortalamas\u0131 olacakt\u0131r. Medyan <strong>87<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Spread<\/strong> : Veri setindeki en b\u00fcy\u00fck ve en k\u00fc\u00e7\u00fck de\u011fer aras\u0131ndaki fark\u0131 temsil eden de\u011ferlerin \u201cyay\u0131l\u0131m\u0131n\u0131\u201d \u00f6l\u00e7mek i\u00e7in range kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri setinde en b\u00fcy\u00fck de\u011ferin 91, en k\u00fc\u00e7\u00fck de\u011ferin ise 85 oldu\u011funu g\u00f6r\u00fcyoruz, dolay\u0131s\u0131yla aral\u0131k \u015fu \u015fekilde hesaplanabilir: 91 \u2013 85 = <strong>6<\/strong> .<\/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 farkl\u0131 istatistiksel yaz\u0131l\u0131mlarda nokta grafiklerinin nas\u0131l olu\u015fturulaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/nokta-grafigi-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Nokta Grafi\u011fi Nas\u0131l Olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/r-yiginindaki-nokta-grafigi\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de Nokta Grafi\u011fi Nas\u0131l Olu\u015fturulur<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nokta grafi\u011fi, y\u0131\u011f\u0131lm\u0131\u015f noktalar\u0131 kullanarak bir veri k\u00fcmesindeki de\u011ferlerin frekanslar\u0131n\u0131 g\u00f6r\u00fcnt\u00fcleyen bir grafik t\u00fcr\u00fcd\u00fcr. \u00c7o\u011funlukla bir nokta grafi\u011fi olu\u015fturdu\u011fumuzda merkezi ve da\u011f\u0131l\u0131m\u0131 \u00f6l\u00e7mek isteriz: Merkez : Veri k\u00fcmesinin merkez noktas\u0131. Bunu \u00f6l\u00e7mek i\u00e7in s\u0131kl\u0131kla medyan\u0131 kullan\u0131r\u0131z. Spread : Veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131. Bunu \u00f6l\u00e7mek i\u00e7in s\u0131kl\u0131kla aral\u0131\u011f\u0131 kullan\u0131r\u0131z. Yaln\u0131zca bu iki de\u011feri bilerek, de\u011ferlerin belirli [&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-2075","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>Nokta Grafi\u011finin Merkezi ve Yay\u0131l\u0131m\u0131 Nas\u0131l Bulunur?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, birka\u00e7 \u00f6rnekle nokta grafi\u011finin merkezinin ve da\u011f\u0131l\u0131m\u0131n\u0131n nas\u0131l bulunaca\u011f\u0131 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\" 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