{"id":264,"date":"2023-08-03T10:34:34","date_gmt":"2023-08-03T10:34:34","guid":{"rendered":"https:\/\/statorials.org\/tr\/ornek-ortalama\/"},"modified":"2023-08-03T10:34:34","modified_gmt":"2023-08-03T10:34:34","slug":"ornek-ortalama","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ornek-ortalama\/","title":{"rendered":"\u00d6rnek ortalama"},"content":{"rendered":"

Bu yaz\u0131da istatistiklerde \u00f6rnek ortalamas\u0131n\u0131n ne oldu\u011funu \u00f6\u011freneceksiniz. Benzer \u015fekilde, bir numunenin ortalamas\u0131n\u0131 nas\u0131l hesaplayaca\u011f\u0131n\u0131z\u0131, \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 ve ayr\u0131ca herhangi bir numunenin ortalamas\u0131n\u0131 hesaplamak i\u00e7in \u00e7evrimi\u00e7i bir hesap makinesini bulacaks\u0131n\u0131z. <\/p>\n

<\/span> \u00d6rnek ne anlama geliyor?<\/span><\/h2>\n

\u0130statistikte \u00f6rnek ortalamas\u0131<\/strong> , bir \u00f6rnekteki de\u011ferlerin ortalamas\u0131d\u0131r. \u00d6rnek ortalamas\u0131n\u0131 hesaplamak i\u00e7in \u00f6rnekteki t\u00fcm de\u011ferlerin toplanmas\u0131 ve ard\u0131ndan \u00f6rnekteki toplam veri say\u0131s\u0131na b\u00f6l\u00fcnmesi gerekir.<\/p>\n

\u00d6rnek ortalaman\u0131n sembol\u00fc<\/p>\n<\/p>\n

\"\\overline{x}\"<\/p>\n

.<\/p>\n

\u0130statistiksel bir \u00e7al\u0131\u015fmada, genellikle bir pop\u00fclasyonun t\u00fcm de\u011ferleri bilinmez; bu nedenle, onu analiz etmek ve elde edilen sonu\u00e7lar\u0131 t\u00fcm pop\u00fclasyona tahmin etmek i\u00e7in pop\u00fclasyonun bir \u00f6rne\u011fi se\u00e7ilir. Bu nedenle, \u00f6rneklem ortalamas\u0131 pop\u00fclasyon ortalamas\u0131n\u0131 tahmin etmek i\u00e7in kullan\u0131l\u0131r. <\/p>\n

<\/span> Ortalama Form\u00fcl \u00d6rne\u011fi<\/span><\/h2>\n

\u00d6rnek ortalamas\u0131, t\u00fcm \u00f6rnek de\u011ferlerinin toplam\u0131n\u0131n \u00f6rnek b\u00fcy\u00fckl\u00fc\u011f\u00fcne b\u00f6l\u00fcnmesine e\u015fittir. Yani \u00f6rnek ortalamas\u0131n\u0131 hesaplamak i\u00e7in \u00f6rnekteki t\u00fcm de\u011ferler toplan\u0131r ve ard\u0131ndan \u00f6rnekteki toplam veri say\u0131s\u0131na b\u00f6l\u00fcn\u00fcr.<\/p>\n

Bu nedenle, \u00f6rnek ortalamas\u0131n\u0131 hesaplama form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir:<\/p>\n<\/p>\n

\"\\displaystyle\\overline{x}=\\frac{\\displaystyle<\/p>\n<\/p>\n

\ud83d\udc49Herhangi bir veri setinin \u00f6rnek ortalamas\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesap makinesini kullanabilirsiniz.<\/u><\/p>\n

\u00d6rnek ortalamas\u0131n\u0131n bir \u00f6rnekten al\u0131nan veriler kullan\u0131larak hesapland\u0131\u011f\u0131n\u0131, dolay\u0131s\u0131yla pop\u00fclasyon ortalamas\u0131n\u0131n de\u011ferinin hesaplanan de\u011ferden farkl\u0131 olabilece\u011fini unutmay\u0131n. <\/p>\n

<\/span> \u00d6rnek Ortalama Hesaplama \u00d6rne\u011fi<\/span><\/h2>\n

Art\u0131k \u00f6rnek ortalaman\u0131n tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu bildi\u011fimize g\u00f6re, basit bir \u00f6rnek \u00e7\u00f6zerek bir veri k\u00fcmesinden \u00f6rnek ortalaman\u0131n nas\u0131l elde edilece\u011fini g\u00f6relim.<\/p>\n

    \n
  • Jose \u015fehir merkezine ta\u015f\u0131nmak istiyor ama fazla vakti olmad\u0131\u011f\u0131ndan kiral\u0131k t\u00fcm dairelerin fiyatlar\u0131n\u0131 analiz edemiyor. \u015eehir merkezinde ya\u015faman\u0131n size ne kadara mal olaca\u011f\u0131n\u0131 \u00f6\u011frenmek i\u00e7in yaln\u0131zca be\u015f dairenin (a\u015fa\u011f\u0131da g\u00f6sterilen) kira fiyat\u0131na bakmaya karar veriyorsunuz. Numunenin ortalama fiyat\u0131 nedir?<\/li>\n<\/ul>\n

    \u20ac600 \u20ac430 \u20ac820 \u20ac575 \u20ac950<\/p>\n

    \u00d6rnek ortalamay\u0131 bulmak i\u00e7in t\u00fcm \u00f6rnek de\u011ferleri toplamam\u0131z ve ard\u0131ndan toplam g\u00f6zlem say\u0131s\u0131na (5) b\u00f6lmemiz gerekir. Bu nedenle \u00f6rnek ortalama form\u00fcl\u00fcn\u00fc uygular\u0131z:<\/p>\n<\/p>\n

    \"\\displaystyle\\overline{x}=\\frac{\\displaystyle\\sum_{i=1}^n<\/p>\n<\/p>\n

    Daha sonra verileri form\u00fclde yerine koyar\u0131z ve \u00f6rnek ortalamay\u0131 hesaplar\u0131z:<\/p>\n<\/p>\n

    \"\\overline{x}=\\cfrac{600+430+820+575+950}{5}=675\"<\/p>\n<\/p>\n

    K\u0131saca \u00f6rnek i\u00e7in se\u00e7ilen daire \u00f6rneklerinin ortalama fiyat\u0131 675\u20ac’dur.<\/p>\n

    <\/span> Ortalama Hesaplay\u0131c\u0131 \u00d6rne\u011fi<\/span><\/h2>\n

    \u00d6rnek ortalamas\u0131n\u0131 hesaplamak i\u00e7in herhangi bir istatistiksel \u00f6rnekteki verileri a\u015fa\u011f\u0131daki hesaplay\u0131c\u0131ya girin. Veriler bir bo\u015flukla ayr\u0131lmal\u0131 ve ondal\u0131k ay\u0131r\u0131c\u0131 olarak nokta kullan\u0131larak girilmelidir. <\/p>\n