{"id":2986,"date":"2023-07-19T18:40:44","date_gmt":"2023-07-19T18:40:44","guid":{"rendered":"https:\/\/statorials.org\/tr\/nokta-grafigi-ortalama-medyan-modu\/"},"modified":"2023-07-19T18:40:44","modified_gmt":"2023-07-19T18:40:44","slug":"nokta-grafigi-ortalama-medyan-modu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/nokta-grafigi-ortalama-medyan-modu\/","title":{"rendered":"Nokta grafikleri: ortalama, medyan ve mod nas\u0131l bulunur?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Nokta grafi\u011fi,<\/strong> bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 noktalar\u0131 kullanarak g\u00f6r\u00fcnt\u00fcleyen bir grafik t\u00fcr\u00fcd\u00fcr.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21050 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pointhist1.png\" alt=\"\" width=\"501\" height=\"436\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">X ekseni bireysel veri de\u011ferlerini, y ekseni ise her de\u011ferin s\u0131kl\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde nokta grafi\u011finin ortalamas\u0131n\u0131n, medyan\u0131n\u0131n ve modunun nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Nokta grafi\u011finin ortalamas\u0131n\u0131, medyan\u0131n\u0131 ve modunu hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir veri k\u00fcmesi i\u00e7in de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki nokta grafi\u011fine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21050 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pointhist1.png\" alt=\"\" width=\"501\" height=\"436\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu nokta grafi\u011finin ortalamas\u0131n\u0131, ortancas\u0131n\u0131 ve modunu hesaplamak i\u00e7in \u00f6ncelikle veri setinin de\u011ferlerini yazmam\u0131z gerekiyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, &#8220;1&#8221; de\u011ferinin d\u00f6rt kez, &#8220;2&#8221; de\u011ferinin \u00fc\u00e7 kez, &#8220;3&#8221; de\u011ferinin bir kez g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc vb. g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri seti i\u00e7in a\u015fa\u011f\u0131daki de\u011ferleri yazabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>De\u011ferler:<\/strong> 1, 1, 1, 1, 2, 2, 2, 3, 4, 5, 5, 6, 6, 6, 6, 7, 8, 10<\/span><\/p>\n<p> <span style=\"color: #000000;\">Art\u0131k ortalamay\u0131, medyan\u0131 ve modu hesaplayabiliriz.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Anlam<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Bu veri setinin ortalamas\u0131n\u0131 bulmak i\u00e7in t\u00fcm bireysel de\u011ferleri toplay\u0131p 18 olan toplam \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne b\u00f6lebiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama = (1+1+1+1+2+2+2+3+4+5+5+6+6+6+6+7+8+10) \/ 18 = <strong>4,22<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama <strong>4,22<\/strong> \u00e7\u0131k\u0131yor. Bu, veri k\u00fcmesinin ortalama de\u011feridir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Medyan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu veri setinin medyan\u0131n\u0131 bulmak i\u00e7in tek tek t\u00fcm de\u011ferleri s\u0131rayla yazabilir ve tam ortada yer alan de\u011feri belirleyebiliriz:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">1, 1, 1, 1, 2, 2, 2, 3, <span style=\"color: #ff0000;\"><strong>4<\/strong><\/span> , <span style=\"color: #ff0000;\"><strong>5<\/strong><\/span> , 5, 6, 6, 6, 6, 7, 8, 10<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortada iki de\u011fer var: 4 ve 5. Yani medyan bu iki de\u011ferin ortalamas\u0131 yani 4,5 oluyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle medyan <strong>4,5&#8217;tir<\/strong> . Bu, veri setinin tam ortas\u0131ndaki de\u011ferdir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Moda<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesinin modunu bulmak i\u00e7in en s\u0131k g\u00f6r\u00fcnen de\u011ferleri tan\u0131mlayabiliriz:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><span style=\"color: #ff0000;\"><strong>1<\/strong><\/span> , <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span> , <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span> , <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span> , 2, 2, 2, 3, 4, 5, 5, 6, <span style=\"color: #ff0000;\"><strong>6<\/strong><\/span> , <span style=\"color: #ff0000;\"><strong>6<\/strong><\/span> <span style=\"color: #ff0000;\"><strong>, 6<\/strong><\/span> <span style=\"color: #ff0000;\"><strong>,<\/strong><\/span> 7, 8, 10<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesinin iki modu vard\u0131r: <strong>1<\/strong> ve <strong>6<\/strong> . Bu de\u011ferlerin her biri veri k\u00fcmesinde d\u00f6rt kez g\u00f6r\u00fcn\u00fcr.<\/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\u011fitimler nokta grafikleri hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/nokta-grafigi-ve-histogram\/\" target=\"_blank\" rel=\"noopener\">Nokta grafi\u011fi ve histogram: fark nedir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/nokta-grafiginin-merkezi-ve-yayilmasi\/\" target=\"_blank\" rel=\"noopener\">Nokta grafi\u011finin merkezi ve yay\u0131l\u0131m\u0131 nas\u0131l bulunur?<\/a><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde farkl\u0131 yaz\u0131l\u0131mlar kullan\u0131larak nokta grafiklerinin nas\u0131l olu\u015fturulaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/nokta-grafigi-google-sayfalari\/\" target=\"_blank\" rel=\"noopener\">Google E-Tablolarda Nokta Grafi\u011fi Nas\u0131l Olu\u015fturulur<\/a><br \/> <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, bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 noktalar\u0131 kullanarak g\u00f6r\u00fcnt\u00fcleyen bir grafik t\u00fcr\u00fcd\u00fcr. X ekseni bireysel veri de\u011ferlerini, y ekseni ise her de\u011ferin s\u0131kl\u0131\u011f\u0131n\u0131 g\u00f6sterir. Bu e\u011fitimde nokta grafi\u011finin ortalamas\u0131n\u0131n, medyan\u0131n\u0131n ve modunun nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek: Nokta grafi\u011finin ortalamas\u0131n\u0131, medyan\u0131n\u0131 ve modunu hesaplay\u0131n Belirli bir veri k\u00fcmesi i\u00e7in de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki nokta grafi\u011fine [&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-2986","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 Grafikleri: Ortalama, Medyan ve Mod Nas\u0131l Bulunur - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde bir \u00f6rnekle nokta grafi\u011finin ortalamas\u0131n\u0131n, medyan\u0131n\u0131n ve modunun nas\u0131l hesaplanaca\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\" href=\"https:\/\/statorials.org\/tr\/nokta-grafigi-ortalama-medyan-modu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Nokta Grafikleri: Ortalama, Medyan ve Mod Nas\u0131l Bulunur - 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