{"id":17,"date":"2023-08-06T20:41:27","date_gmt":"2023-08-06T20:41:27","guid":{"rendered":"https:\/\/statorials.org\/tr\/ortalama-istatistik-turleri\/"},"modified":"2023-08-06T20:41:27","modified_gmt":"2023-08-06T20:41:27","slug":"ortalama-istatistik-turleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ortalama-istatistik-turleri\/","title":{"rendered":"Ortalama t\u00fcrler (i\u0307statistikler)"},"content":{"rendered":"<p>Burada istatistiklerde her t\u00fcrl\u00fc ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. Her \u00e7orap t\u00fcr\u00fcne ili\u015fkin form\u00fcl\u00fc ve \u00f6rnekleri bulacaks\u0131n\u0131z.<\/p>\n<p> Ancak ortalama t\u00fcrlerinin ne oldu\u011funu g\u00f6rmeden \u00f6nce mant\u0131ksal olarak istatistikte ortalaman\u0131n ne oldu\u011funu bilmeliyiz. Bu nedenle devam etmeden \u00f6nce a\u015fa\u011f\u0131daki ba\u011flant\u0131ya ba\u015fvurman\u0131z\u0131 \u00f6neririz. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/\">Ortalama (istatistik) nedir?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-los-tipos-de-media-en-estadistica\"><\/span> \u0130statistikte ortalama t\u00fcrleri nelerdir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte ortalama t\u00fcrleri \u015funlard\u0131r:<\/p>\n<ul>\n<li> <strong>Aritmetik ortalama<\/strong><\/li>\n<li> <strong>A\u011f\u0131rl\u0131kl\u0131 ortalama<\/strong><\/li>\n<li> <strong>Geometrik ara\u00e7lar<\/strong><\/li>\n<li> <strong>k\u00f6k kare demektir<\/strong><\/li>\n<li> <strong>harmonik anlam\u0131<\/strong><\/li>\n<li> <strong>genelle\u015ftirilmi\u015f ortalama<\/strong><\/li>\n<li> <strong>genelle\u015ftirilmi\u015f f-ortalamas\u0131<\/strong><\/li>\n<li> <strong>kesilmi\u015f anlam\u0131na gelir<\/strong><\/li>\n<li> <strong>\u00e7eyrekler aras\u0131 ortalama<\/strong><\/li>\n<li> <strong>bir fonksiyonun ortalamas\u0131<\/strong><\/li>\n<\/ul>\n<p> Daha sonra istatistiklerdeki her t\u00fcrl\u00fc ortalaman\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 a\u00e7\u0131klayaca\u011f\u0131z. En s\u0131k kullan\u0131lan be\u015f ortalama t\u00fcr\u00fc aritmetik ortalama, a\u011f\u0131rl\u0131kl\u0131 ortalama, geometrik ortalama, ikinci dereceden ortalama ve harmonik ortalamad\u0131r. Bu be\u015f ana medya t\u00fcr\u00fc hakk\u0131nda daha fazla ayr\u0131nt\u0131ya girece\u011fiz.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"media-aritmetica\"><\/span> Aritmetik ortalama<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><meta charset=\"utf-8\"> <strong>Aritmetik ortalama,<\/strong> t\u00fcm de\u011ferlerin toplanmas\u0131 ve ard\u0131ndan toplam veri noktas\u0131 say\u0131s\u0131na b\u00f6l\u00fcnmesiyle hesaplan\u0131r.<\/p>\n<p> Dolay\u0131s\u0131yla aritmetik ortalaman\u0131n form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-32864ecf76d6cc14806cd08e050a8cca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\overline{x}=\\frac{1}{N}\\sum_{i=1}^N x_i=\\frac{x_1+x_2+\\dots+x_N}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"272\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<p> Aritmetik ortalama ayn\u0131 zamanda <strong>aritmetik ortalama<\/strong> olarak da bilinir.<\/p>\n<p> Aritmetik ortalama istatistikte muhtemelen en \u00e7ok kullan\u0131lan ortalama t\u00fcr\u00fcd\u00fcr.<\/p>\n<p> Bu t\u00fcr ortalaman\u0131n nas\u0131l elde edildi\u011fine dair bir \u00f6rnek g\u00f6rmek i\u00e7in a\u015fa\u011f\u0131daki verilerin aritmetik ortalamas\u0131n\u0131 hesaplayaca\u011f\u0131z:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-df162443ef8d2d5baa6e464d3941b814_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4\\quad 7\\quad 10\\quad 1\\quad 8\\quad9\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"151\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Aritmetik ortalamay\u0131 hesaplamak i\u00e7in t\u00fcm istatistiksel verileri toplay\u0131p toplam veri say\u0131s\u0131na (6) b\u00f6lmeniz yeterlidir: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-804ba3d84973a6bb91a44af930a16b60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=\\cfrac{4+7+10+1+8+9}{6}=6,5\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"254\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"media-ponderada\"><\/span> A\u011f\u0131rl\u0131kl\u0131 ortalama<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>A\u011f\u0131rl\u0131kl\u0131 ortalamay\u0131 hesaplamak i\u00e7in,<\/strong> \u00f6nce her istatistiksel veriyi a\u011f\u0131rl\u0131\u011f\u0131yla (veya a\u011f\u0131rl\u0131\u011f\u0131yla) \u00e7arpman\u0131z, ard\u0131ndan t\u00fcm \u00fcr\u00fcnleri toplaman\u0131z ve son olarak a\u011f\u0131rl\u0131kl\u0131 toplam\u0131 t\u00fcm a\u011f\u0131rl\u0131klar\u0131n toplam\u0131na b\u00f6lmeniz gerekir.<\/p>\n<p> Dolay\u0131s\u0131yla a\u011f\u0131rl\u0131kl\u0131 ortalama form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6cc7d1ae6fe4a41f4cbf871f2ea9e1a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_p}=\\cfrac{\\sum_{i=1}^N x_i\\cdot w_i}{\\sum_{i=1}^N w_i}=\\cfrac{x_1\\cdot w_1+x_2\\cdot w_2+\\dots x_N\\cdot w_N}{w_1+w_2+\\dosts +w_N}\" title=\"Rendered by QuickLaTeX.com\" height=\"51\" width=\"394\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p> Burada x <sub>i<\/sub> istatistiksel de\u011ferdir ve w <sub>i<\/sub> buna kar\u015f\u0131l\u0131k gelen a\u011f\u0131rl\u0131kt\u0131r.<\/p>\n<p> A\u011f\u0131rl\u0131kl\u0131 ortalaman\u0131n anla\u015f\u0131lmas\u0131 daha zor oldu\u011fundan, nas\u0131l hesapland\u0131\u011f\u0131n\u0131 ad\u0131m ad\u0131m a\u00e7\u0131klayan a\u015fa\u011f\u0131daki \u00f6rne\u011fe g\u00f6z atman\u0131z\u0131 \u00f6neririz: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/agirlikli-ortalama\/\">A\u011f\u0131rl\u0131kl\u0131 ortalama \u00f6rne\u011fi<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"media-geometrica\"><\/span> Geometrik ara\u00e7lar<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Bir istatistiksel veri k\u00fcmesinin <strong>geometrik ortalamas\u0131,<\/strong> t\u00fcm de\u011ferlerin \u00e7arp\u0131m\u0131n\u0131n n&#8217;inci k\u00f6k\u00fcne e\u015fittir.<\/p>\n<p> Bu t\u00fcr ortalama, i\u015fletme finansman\u0131nda getiri oranlar\u0131n\u0131, ortalama y\u00fczdeleri ve bile\u015fik faizi hesaplamak i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> Bu t\u00fcr depolaman\u0131n form\u00fcl\u00fc olduk\u00e7a karma\u015f\u0131kt\u0131r. Asl\u0131nda t\u00fcm istatistiksel k\u00fcmelerin geometrik ortalamas\u0131 hesaplanamayabilir ancak bazen bu t\u00fcr bir ortalama belirlenemeyebilir. Bu nedenle a\u015fa\u011f\u0131daki ba\u011flant\u0131da a\u00e7\u0131klanan t\u00fcm istisnalara ba\u015fvurman\u0131z\u0131 \u00f6neririz: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/geometrik-ortalama\/\">geometrik ortalama form\u00fcl\u00fc<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"media-cuadratica\"><\/span> k\u00f6k kare demektir<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>K\u00f6k ortalama kare,<\/strong> verilerin karelerinin aritmetik ortalamas\u0131n\u0131n karek\u00f6k\u00fcne e\u015fittir.<\/p>\n<p> Ortalama kare form\u00fcl\u00fc bu nedenle a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3f2a4486717c5e55700afc86198173e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle RMS=\\displaystyle\\sqrt{\\frac{1}{N}\\sum_{i=1}^N x_i^2}=\\sqrt{\\frac{x_1^2+x_2^2+\\dots + x_N^2}{N}\\vphantom{\\sum_{i=1}^N x_i^2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"348\" style=\"vertical-align: -25px;\"><\/p>\n<\/p>\n<p> Bu ortalama t\u00fcr\u00fcne ayn\u0131 zamanda <strong>ortalama karek\u00f6k<\/strong> , <strong>ortalama<\/strong> <em>karek\u00f6k<\/em> veya <strong>RMS<\/strong> de denir.<\/p>\n<p> K\u00fcbik ortalaman\u0131n da mevcut oldu\u011funu ancak \u00e7ok \u00f6zel durumlarda kullan\u0131ld\u0131\u011f\u0131n\u0131 belirtelim.<\/p>\n<p><meta charset=\"utf-8\"> Kare ortalaman\u0131n avantajlar\u0131 ve dezavantajlar\u0131 vard\u0131r; \u00f6rne\u011fin, istatistiksel de\u011fi\u015fken pozitif ve negatif de\u011ferler ald\u0131\u011f\u0131nda \u00f6zellikle kullan\u0131\u015fl\u0131d\u0131r, \u00e7\u00fcnk\u00fc her veri par\u00e7as\u0131n\u0131n karesi al\u0131nd\u0131\u011f\u0131nda t\u00fcm de\u011ferler pozitif olur. A\u015fa\u011f\u0131daki ba\u011flant\u0131ya t\u0131klayarak bu medya t\u00fcr\u00fcn\u00fcn daha fazla \u00f6zelli\u011fini g\u00f6rebilirsiniz: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/orta-kare\/\">ortalaman\u0131n karek\u00f6k\u00fcn\u00fcn avantajlar\u0131 ve dezavantajlar\u0131<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"media-armonica\"><\/span> harmonik anlam\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Harmonik ortalama,<\/strong> toplam istatistiksel veri say\u0131s\u0131n\u0131n her bir de\u011ferin kar\u015f\u0131l\u0131klar\u0131n\u0131n toplam\u0131na b\u00f6l\u00fcnmesiyle hesaplan\u0131r.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4e29d9175088cfcbbbf5b4cb79e360d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle H=\\frac{N}{\\displaystyle\\sum_{i=1}^N\\frac{1}{x_i}}=\\frac{N}{\\displaystyle\\frac{1}{x_1}+\\frac{1}{x_2}+\\dots+\\frac{1}{x_N}}\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"274\" style=\"vertical-align: -52px;\"><\/p>\n<\/p>\n<p> Harmonik ortalama, ortalama h\u0131zlar\u0131, s\u00fcreleri hesaplamak veya elektronik hesaplamalar yapmak i\u00e7in kullan\u0131l\u0131r. Bu \u00f6zellik, harmonik ortalamay\u0131, fiyat ortalamalar\u0131 veya y\u00fczdelerin hesaplanmas\u0131nda s\u0131kl\u0131kla kullan\u0131lan di\u011fer ortalama t\u00fcrlerinden ay\u0131r\u0131r.<\/p>\n<p> Bu t\u00fcr ortalaman\u0131n hesaplanmas\u0131na ili\u015fkin \u00f6rnekleri a\u015fa\u011f\u0131daki sayfada g\u00f6rebilirsiniz: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/harmonik-ortalama\/\">harmonik anlam \u00f6rnekleri<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"otros-tipos-de-medias\"><\/span> Di\u011fer \u00e7orap t\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Bu b\u00f6l\u00fcmde di\u011fer \u00e7orap t\u00fcrlerine ait form\u00fclleri g\u00f6rece\u011fiz. Yayg\u0131n olarak kullan\u0131lmad\u0131klar\u0131 i\u00e7in her bir t\u00fcr hakk\u0131nda detaya girmeyece\u011fiz ancak ba\u015fka \u00e7orap t\u00fcrlerinin de oldu\u011funu bilmenizde fayda var.<\/p>\n<p> <strong>Genelle\u015ftirilmi\u015f ortalama,<\/strong> yukar\u0131da g\u00f6r\u00fclen ortalama t\u00fcrlerinin bir kar\u0131\u015f\u0131m\u0131d\u0131r ve a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131larak hesaplan\u0131r:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4de16799fb178f933def1c4b21d2bd23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\overline{x}(m) = \\left ( \\frac{1}{N}\\cdot\\sum_{i=1}^N{x_i^m} \\right ) ^{1\/m}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"202\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p> F&#8217;nin birebir ve monotonik bir fonksiyon oldu\u011funu kabul edersek <strong>genelle\u015ftirilmi\u015f f-ortalamas\u0131<\/strong> \u015fu \u015fekilde tan\u0131mlan\u0131r:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-85caf9d5167af78843adff3e0522a917_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\overline{x} = f^{-1}\\left({\\frac{1}{N}\\cdot\\sum_{i=1}^N{f(x_i)}}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"191\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p> <strong>K\u0131rp\u0131lm\u0131\u015f ortalama,<\/strong> numunenin \u00fcst ve alt u\u00e7lar\u0131ndaki g\u00f6zlemlerin y\u00fczdesinin \u00e7\u0131kar\u0131lmas\u0131ndan sonra aritmetik ortalaman\u0131n hesaplanmas\u0131n\u0131 i\u00e7erir. Her iki u\u00e7ta da ayn\u0131 y\u00fczde reddedilmelidir.<\/p>\n<p> <strong>\u00c7eyrekler aras\u0131 ortalama olarak da adland\u0131r\u0131lan \u00e7eyrekler aras\u0131 ortalamay\u0131<\/strong> hesaplamak i\u00e7in, birinci ve d\u00f6rd\u00fcnc\u00fc \u00e7eyreklerden gelen veriler ilk \u00f6nce at\u0131l\u0131r ve ard\u0131ndan yaln\u0131zca numunenin ikinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyreklerinin aritmetik ortalamas\u0131 hesaplan\u0131r. Dolay\u0131s\u0131yla bu t\u00fcr ortalaman\u0131n form\u00fcl\u00fc \u015fu \u015fekildedir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ca10718ec3b4549781e66681ae01a283_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\overline{x}={2 \\over n} \\sum_{i=\\frac{n}{4}+1}^{\\frac{3n}{4}}{x_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"114\" style=\"vertical-align: -27px;\"><\/p>\n<\/p>\n<p> Son olarak <strong>bir fonksiyonun ortalamas\u0131n\u0131<\/strong> da bulabilirsiniz. Kapal\u0131 bir aral\u0131kta [a,b] s\u00fcrekli bir fonksiyonun ortalama de\u011feri a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131larak hesaplan\u0131r: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a0093f424d1a8410b2eb4ca20c88d6e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\overline{f}=\\frac{1}{b-a} \\int_a^b f(t) dt\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"153\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"media-muestral-y-poblacional\"><\/span> \u00d6rneklem ve pop\u00fclasyon ortalamas\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak, s\u0131kl\u0131kla kar\u0131\u015ft\u0131r\u0131lan iki ortalama t\u00fcr\u00fc olan \u00f6rneklem ortalamas\u0131 ile n\u00fcfus ortalamas\u0131 aras\u0131ndaki fark\u0131n ne oldu\u011funu g\u00f6rece\u011fiz.<\/p>\n<p> <strong>\u00d6rnek ortalamas\u0131,<\/strong> istatistiksel bir \u00f6rne\u011fin de\u011ferleri \u00fczerinden hesaplanan ortalamad\u0131r, yani bir de\u011fi\u015fkenin t\u00fcm de\u011ferlerinin bir k\u0131sm\u0131 \u00fczerinden hesaplan\u0131r.<\/p>\n<p> <strong>Pop\u00fclasyon ortalamas\u0131,<\/strong> istatistiksel bir pop\u00fclasyon \u00fczerinden, yani bir de\u011fi\u015fkenin t\u00fcm de\u011ferleri \u00fczerinden hesaplanan ortalamad\u0131r. Bu nedenle pop\u00fclasyon ortalamas\u0131 de\u011fi\u015fkenin matematiksel beklentisiyle \u00f6rt\u00fc\u015fmektedir.<\/p>\n<p> Yeterince b\u00fcy\u00fck miktarda veri biliniyorsa, \u00f6rnek ortalamas\u0131n\u0131n pop\u00fclasyon ortalamas\u0131na pratik olarak e\u015fit oldu\u011fu d\u00fc\u015f\u00fcn\u00fclebilir. Ancak ger\u00e7ekte bir da\u011f\u0131l\u0131m\u0131n t\u00fcm de\u011ferleri nadiren bilindi\u011finden pop\u00fclasyon ortalamas\u0131n\u0131n de\u011ferini elde etmek \u00e7ok zordur.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Burada istatistiklerde her t\u00fcrl\u00fc ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. Her \u00e7orap t\u00fcr\u00fcne ili\u015fkin form\u00fcl\u00fc ve \u00f6rnekleri bulacaks\u0131n\u0131z. Ancak ortalama t\u00fcrlerinin ne oldu\u011funu g\u00f6rmeden \u00f6nce mant\u0131ksal olarak istatistikte ortalaman\u0131n ne oldu\u011funu bilmeliyiz. Bu nedenle devam etmeden \u00f6nce a\u015fa\u011f\u0131daki ba\u011flant\u0131ya ba\u015fvurman\u0131z\u0131 \u00f6neririz. \u27a4 Bak\u0131n\u0131z: Ortalama (istatistik) nedir? \u0130statistikte ortalama t\u00fcrleri nelerdir? \u0130statistikte ortalama t\u00fcrleri \u015funlard\u0131r: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-17","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u0130statistiklerdeki t\u00fcm ortalama t\u00fcrleri nelerdir?<\/title>\n<meta name=\"description\" content=\"\u0130statistiklerde her t\u00fcrl\u00fc ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. 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