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Bir veri setinin standart sapmas\u0131,<\/strong> ortalama de\u011ferin ortalamadan ne kadar uzakta oldu\u011funu \u00f6l\u00e7menin bir yoludur.<\/span><\/p>\n Belirli bir \u00f6rne\u011fin<\/a> standart sapmas\u0131n\u0131 bulmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n s = \u221a(\u03a3(x ben<\/sub> \u2013 x<\/span> ) 2<\/sup> \/ (n-1))<\/strong><\/span><\/p>\n Alt\u0131n:<\/span><\/p>\n Standart sapma de\u011feri ne kadar y\u00fcksek olursa, de\u011ferler bir numunede o kadar da\u011f\u0131lm\u0131\u015f demektir. Ancak standart sapma i\u00e7in belirli bir de\u011ferin “y\u00fcksek” mi yoksa “d\u00fc\u015f\u00fck” m\u00fc oldu\u011funu s\u00f6ylemek, \u00fczerinde \u00e7al\u0131\u015ft\u0131\u011f\u0131m\u0131z veri t\u00fcr\u00fcne ba\u011fl\u0131 oldu\u011fundan zordur.<\/span><\/p>\n \u00d6rne\u011fin belli bir \u015fehirde ya\u015fayanlar\u0131n y\u0131ll\u0131k gelirinden bahsediyorsak 500’l\u00fck standart sapma d\u00fc\u015f\u00fck say\u0131labilir. Tersine, e\u011fer \u00f6\u011frencilerin belirli bir testteki performans\u0131ndan bahsediyorsak, 50’lik standart sapma y\u00fcksek say\u0131labilir.<\/span><\/p>\n Belirli bir standart sapma de\u011ferinin y\u00fcksek mi yoksa d\u00fc\u015f\u00fck m\u00fc oldu\u011funu anlaman\u0131n bir yolu, a\u015fa\u011f\u0131daki \u015fekilde hesaplanan de\u011fi\u015fim katsay\u0131s\u0131n\u0131<\/strong> bulmakt\u0131r:<\/span><\/p>\n CV = a\/ x<\/span><\/span><\/p>\n Alt\u0131n:<\/span><\/p>\n Basit\u00e7e s\u00f6ylemek gerekirse, varyasyon katsay\u0131s\u0131 standart sapman\u0131n ortalamaya oran\u0131d\u0131r.<\/span><\/p>\n De\u011fi\u015fim katsay\u0131s\u0131 ne kadar y\u00fcksek olursa, bir numunenin ortalamadan<\/em> standart sapmas\u0131 da o kadar b\u00fcy\u00fck olur.<\/span><\/p>\n A\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n Veri seti:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32<\/span><\/p>\n Bir hesap makinesi kullanarak bu veri k\u00fcmesi i\u00e7in a\u015fa\u011f\u0131daki \u00f6l\u00e7\u00fcmleri bulabiliriz:<\/span><\/p>\n Daha sonra bu de\u011ferleri varyasyon katsay\u0131s\u0131n\u0131 hesaplamak i\u00e7in kullanabiliriz:<\/span><\/p>\n Bu veri seti i\u00e7in standart sapma ve varyasyon katsay\u0131s\u0131n\u0131n bilinmesi faydal\u0131d\u0131r.<\/span><\/p>\n Standart sapma bize bu veri seti i\u00e7in tipik de\u011ferin ortalamadan 9,25 birim uzakta oldu\u011funu s\u00f6yler. De\u011fi\u015fim katsay\u0131s\u0131 bize standart sapman\u0131n \u00f6rnek ortalamas\u0131n\u0131n yakla\u015f\u0131k yar\u0131s\u0131 kadar oldu\u011funu s\u00f6yler.<\/span><\/p>\n Standart sapma en yayg\u0131n olarak tek bir veri setindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 bilmek istedi\u011fimizde kullan\u0131l\u0131r.<\/span><\/p>\n Bununla birlikte, varyasyon katsay\u0131s\u0131 daha \u00e7ok iki veri k\u00fcmesi aras\u0131ndaki varyasyonu kar\u015f\u0131la\u015ft\u0131rmak istendi\u011finde kullan\u0131l\u0131r.<\/span><\/p>\n \u00d6rne\u011fin finansta, varyasyon katsay\u0131s\u0131 bir yat\u0131r\u0131m\u0131n ortalama beklenen getirisini yat\u0131r\u0131m\u0131n beklenen standart sapmas\u0131 ile kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n \u00d6rne\u011fin, bir yat\u0131r\u0131mc\u0131n\u0131n a\u015fa\u011f\u0131daki iki yat\u0131r\u0131m fonuna yat\u0131r\u0131m yapmay\u0131 d\u00fc\u015f\u00fcnd\u00fc\u011f\u00fcn\u00fc varsayal\u0131m:<\/span><\/p>\n Yat\u0131r\u0131m Fonu A: ortalama = %9, standart sapma = %12,4<\/span><\/p>\n UCITS B: ortalama = %5, standart sapma = %8,2<\/span><\/p>\n Yat\u0131r\u0131mc\u0131 her fon i\u00e7in varyasyon katsay\u0131s\u0131n\u0131 hesaplayabilir:<\/span><\/p>\n A Yat\u0131r\u0131m Fonu’nun de\u011fi\u015fim katsay\u0131s\u0131 daha d\u00fc\u015f\u00fck oldu\u011fundan standart sapmaya g\u00f6re daha iyi bir ortalama getiri sa\u011flamaktad\u0131r.<\/span><\/p>\n \u0130\u015fte bu makalenin ana noktalar\u0131n\u0131n k\u0131sa bir \u00f6zeti:<\/span><\/p>\n Excel’de Ortalama ve Standart Sapma Nas\u0131l Hesaplan\u0131r?<\/a> Bir veri setinin standart sapmas\u0131, ortalama de\u011ferin ortalamadan ne kadar uzakta oldu\u011funu \u00f6l\u00e7menin bir yoludur. Belirli bir \u00f6rne\u011fin standart sapmas\u0131n\u0131 bulmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz: s = \u221a(\u03a3(x ben \u2013 x ) 2 \/ (n-1)) Alt\u0131n: \u03a3: \u201ctoplam\u201d anlam\u0131na gelen bir sembol x i : \u00d6rneklemdeki i’inci g\u00f6zlemin de\u011feri x : \u00d6rnek \u015fu anlama gelir: […]<\/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-1738","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\n\n
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\u00d6rnek: Standart sapman\u0131n ve varyasyon katsay\u0131s\u0131n\u0131n hesaplanmas\u0131<\/strong><\/span><\/h3>\n
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Standart sapma ve varyasyon katsay\u0131s\u0131: her biri ne zaman kullan\u0131lmal\u0131<\/strong><\/span><\/h3>\n
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\u00d6zet<\/strong><\/span><\/h3>\n
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Ek kaynaklar<\/strong><\/span><\/h3>\n
Excel’de De\u011fi\u015fim Katsay\u0131s\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"