{"id":18,"date":"2023-08-06T20:00:19","date_gmt":"2023-08-06T20:00:19","guid":{"rendered":"https:\/\/statorials.org\/tr\/kubik-ortalama\/"},"modified":"2023-08-06T20:00:19","modified_gmt":"2023-08-06T20:00:19","slug":"kubik-ortalama","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kubik-ortalama\/","title":{"rendered":"K\u00fcbik ortalama"},"content":{"rendered":"

Bu yaz\u0131da k\u00fcbik ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. Ek olarak, herhangi bir veri k\u00fcmesinin k\u00fcbik ortalamas\u0131n\u0131 hesaplamak i\u00e7in bir hesap makinesi bulacaks\u0131n\u0131z. <\/p>\n

<\/span> K\u00fcbik ortalama nedir?<\/span><\/h2>\n

K\u00fcbik ortalama, tan\u0131mlay\u0131c\u0131 istatistiklerde merkezi konumun bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. K\u00fcbik ortalama, verilerin k\u00fcplerinin aritmetik ortalamas\u0131n\u0131n k\u00fcbik k\u00f6k\u00fcne e\u015fittir.<\/strong><\/p>\n

Bu nedenle k\u00fcbik ortalaman\u0131n form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir: <\/p>\n

\n
\"yar\u0131m<\/figure>\n<\/div>\n

Bu form\u00fcl\u00fcn yaln\u0131zca veriler grupland\u0131r\u0131lmam\u0131\u015fsa kullan\u0131labilece\u011fini unutmay\u0131n. Veriler aral\u0131klarla grupland\u0131r\u0131ld\u0131\u011f\u0131nda k\u00fcbik ortalamay\u0131 hesaplamak<\/strong> i\u00e7in her s\u0131n\u0131f puan\u0131n\u0131n mutlak frekans\u0131yla \u00e7arp\u0131lmas\u0131 gerekir. Bu nedenle grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in k\u00fcbik ortalama form\u00fcl\u00fc \u015fu \u015fekildedir:<\/p>\n<\/p>\n

\"\\displaystyle\\overline{x_c}=\\sqrt[3]{\\frac{1}{N}\\sum_{i=1}^N<\/p>\n<\/p>\n

Burada x i<\/sub> aral\u0131\u011f\u0131n s\u0131n\u0131f i\u015faretidir ve f i<\/sub> mutlak frekans\u0131d\u0131r.<\/p>\n

K\u00fcbik ortalama b\u00fcy\u00fck de\u011ferlere kar\u015f\u0131 \u00e7ok hassast\u0131r, \u00e7\u00fcnk\u00fc b\u00fcy\u00fck say\u0131lar\u0131n k\u00fcpleri k\u00fc\u00e7\u00fck say\u0131lar\u0131n k\u00fcplerinden \u00e7ok daha y\u00fcksek de\u011ferlere sahiptir, bu nedenle k\u00fcbik ortalamada b\u00fcy\u00fck say\u0131lara k\u00fc\u00e7\u00fck say\u0131lara g\u00f6re daha fazla \u00f6nem verilir.<\/p>\n

K\u00fcbik ortalama, belirli makine par\u00e7alar\u0131n\u0131n \u00f6mr\u00fcn\u00fc belirlemek i\u00e7in kullan\u0131l\u0131r.<\/p>\n

K\u00fcbik ortalaman\u0131n hesaplanmas\u0131, kare ortalaman\u0131n hesaplanmas\u0131na \u00e7ok benzer ve asl\u0131nda baz\u0131 \u00f6zellikleri payla\u015f\u0131rlar. Burada ne olduklar\u0131n\u0131 g\u00f6rebilirsiniz: <\/p>\n

\u27a4<\/span> Bak\u0131n\u0131z:<\/strong> K\u00f6k ortalama kare nedir?<\/a> <\/div>\n

<\/span>K\u00fcbik ortalama nas\u0131l hesaplan\u0131r<\/span><\/h2>\n

K\u00fcbik ortalamay\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar ger\u00e7ekle\u015ftirilmelidir:<\/p>\n

    \n
  1. Her istatistiksel verinin k\u00fcp\u00fcn\u00fc hesaplay\u0131n.<\/span><\/li>\n
  2. \u00d6nceki ad\u0131mda hesaplanan t\u00fcm k\u00fcpleri ekleyin.<\/span><\/li>\n
  3. Sonucu \u00f6rnekteki toplam veri \u00f6\u011fesi say\u0131s\u0131na b\u00f6l\u00fcn.<\/span><\/li>\n
  4. \u00d6nceki de\u011ferin k\u00fcp k\u00f6k\u00fcn\u00fc bulun.<\/span><\/li>\n
  5. Elde edilen sonu\u00e7 istatistiksel numunenin k\u00fcbik ortalamas\u0131d\u0131r.<\/span><\/li>\n<\/ol>\n

    \ud83d\udc49Herhangi bir veri setinin k\u00fcbik ortalamas\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesap makinesini kullanabilirsiniz.<\/u> <\/p>\n

    <\/span> K\u00fcbik Ortalama \u00d6rne\u011fi<\/span><\/h2>\n

    K\u00fcbik ortalaman\u0131n matematiksel tan\u0131m\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, bu t\u00fcr ortalama \u00fczerinde ad\u0131m ad\u0131m bir al\u0131\u015ft\u0131rma \u00e7\u00f6zmeye \u00e7al\u0131\u015faca\u011f\u0131z.<\/p>\n