{"id":125,"date":"2023-08-05T05:15:36","date_gmt":"2023-08-05T05:15:36","guid":{"rendered":"https:\/\/statorials.org\/tr\/merkezi-egilim-olculeri\/"},"modified":"2023-08-05T05:15:36","modified_gmt":"2023-08-05T05:15:36","slug":"merkezi-egilim-olculeri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/merkezi-egilim-olculeri\/","title":{"rendered":"Merkezi e\u011filim \u00f6l\u00e7\u00fcmleri"},"content":{"rendered":"<p>Bu makalede merkezi e\u011filim \u00f6l\u00e7\u00fclerinin ne oldu\u011funu, ne olduklar\u0131n\u0131, her t\u00fcr merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fcn\u00fcn \u00f6rneklerini \u00f6\u011freneceksiniz ve ayr\u0131ca bir \u00e7evrimi\u00e7i hesap makinesiyle bir \u00f6rne\u011fin t\u00fcm merkezi e\u011filim \u00f6l\u00e7\u00fclerini hesaplayabileceksiniz. . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-medidas-de-tendencia-central\"><\/span> Merkezi e\u011filim \u00f6l\u00e7\u00fcleri nelerdir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Merkezi e\u011filim \u00f6l\u00e7\u00fcleri<\/strong> veya <strong>merkezile\u015ftirme \u00f6l\u00e7\u00fcleri<\/strong> , bir da\u011f\u0131l\u0131m\u0131n merkezi de\u011ferini g\u00f6steren istatistiksel \u00f6l\u00e7\u00fclerdir. Ba\u015fka bir deyi\u015fle, merkezi e\u011filim \u00f6l\u00e7\u00fcleri, bir veri k\u00fcmesinin merkezini temsil eden bir de\u011fer bulmak i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> En s\u0131k kullan\u0131lan merkezi e\u011filim \u00f6l\u00e7\u00fcleri ortalama, medyan ve moddur.<\/p>\n<p> Merkezi e\u011filim \u00f6l\u00e7\u00fclerine <strong>merkezi konum \u00f6l\u00e7\u00fcleri<\/strong> de denir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-medidas-de-tendencia-central\"><\/span> Merkezi e\u011filim \u00f6l\u00e7\u00fcleri nelerdir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Merkezi e\u011filim \u00f6l\u00e7\u00fcleri:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:10px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Ortalama<\/strong> : \u00d6rnekteki t\u00fcm verilerin ortalamas\u0131d\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:10px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Medyan<\/strong> : Bu, en k\u00fc\u00e7\u00fckten en b\u00fcy\u00fc\u011fe do\u011fru s\u0131ralanan t\u00fcm verilerin ortadaki de\u011feridir.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>Mod<\/strong> : Veri setinde en \u00e7ok tekrarlanan de\u011ferdir.<\/span><\/li>\n<\/ul>\n<p> Bu \u00fc\u00e7 istatistiksel \u00f6l\u00e7\u00fcm a\u015fa\u011f\u0131da daha ayr\u0131nt\u0131l\u0131 olarak a\u00e7\u0131klanmaktad\u0131r.<\/p>\n<p> \ud83d\udc49Herhangi <u style=\"text-decoration-color:#FF8A05;\">bir veri seti i\u00e7in merkezi e\u011filim \u00f6l\u00e7\u00fclerini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesap makinesini kullanabilirsiniz.<\/u><\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"media\"><\/span> Yar\u0131m<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Ortalamay\u0131<\/strong> hesaplamak i\u00e7in t\u00fcm de\u011ferleri toplay\u0131n ve ard\u0131ndan toplam veri say\u0131s\u0131na b\u00f6l\u00fcn. Ortalaman\u0131n 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-5869b7db408c85981069fec87356ccbd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\overline{x}=\\frac{\\displaystyle\\sum_{i=1}^N x_i}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"81\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Ortalama sembol, x harfinin \u00fczerinde yatay bir bantt\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-24a8a1d0f6fbaf0d52af4d1c6b498413_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\overline{x}).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"27\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u00d6rnek ortalamas\u0131n\u0131 ve pop\u00fclasyon ortalamas\u0131n\u0131 ortalama simgesiyle de ay\u0131rabilmenize ra\u011fmen: bir \u00f6rne\u011fin ortalamas\u0131 simgesiyle ifade edilir.<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> Bir n\u00fcfusun ortalamas\u0131 Yunan harfini kullan\u0131rken<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-813b25ebeeb2f57eb45196f549132a7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Ortalama ayn\u0131 zamanda <strong>aritmetik ortalama<\/strong> veya <strong>ortalama<\/strong> olarak da bilinir. Ayr\u0131ca istatistiksel bir da\u011f\u0131l\u0131m\u0131n ortalamas\u0131 onun matematiksel beklentisine e\u015fde\u011ferdir.<\/p>\n<h4 class=\"wp-block-heading\"> Ortalama \u00f6rnek<\/h4>\n<ul>\n<li> Bir \u00f6\u011frenci bir okul y\u0131l\u0131 boyunca \u015fu notlar\u0131 ald\u0131: matematikte 9, dilde 7, tarihte 6, ekonomide 8 ve fen bilimlerinde 7,5. T\u00fcm notlar\u0131n\u0131z\u0131n ortalamas\u0131 nedir?<\/li>\n<\/ul>\n<p> Aritmetik ortalamay\u0131 bulmak i\u00e7in t\u00fcm notlar\u0131 toplay\u0131p dersteki toplam ders say\u0131s\u0131na (5) b\u00f6lmemiz gerekir. Bu nedenle aritmetik ortalama form\u00fcl\u00fcn\u00fc uygular\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-5869b7db408c85981069fec87356ccbd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\overline{x}=\\frac{\\displaystyle\\sum_{i=1}^N x_i}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"81\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Verileri form\u00fclde yerine koyar\u0131z ve aritmetik ortalamay\u0131 hesaplar\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-969b50e7b19b8faaac16b429942e5474_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=\\cfrac{9+7+5+8+7,5}{5}=7,3\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"233\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> G\u00f6rd\u00fc\u011f\u00fcn\u00fcz gibi aritmetik ortalamada her de\u011fere ayn\u0131 a\u011f\u0131rl\u0131k atan\u0131r, yani her veri par\u00e7as\u0131 b\u00fct\u00fcn i\u00e7inde ayn\u0131 a\u011f\u0131rl\u0131\u011fa sahiptir.<\/p>\n<p> Bu t\u00fcr merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fcn\u00fcn hesaplanmas\u0131, veriler aral\u0131klara g\u00f6re grupland\u0131r\u0131ld\u0131\u011f\u0131nda biraz de\u011fi\u015fiklik g\u00f6sterir; bunun nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 burada 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\/aritmetik-ortalama\/\">Grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in aritmetik ortalama<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"mediana\"><\/span> Medyan<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Medyan,<\/strong> en k\u00fc\u00e7\u00fckten en b\u00fcy\u00fc\u011fe do\u011fru s\u0131ralanan t\u00fcm veri \u00f6\u011felerinin ortadaki de\u011feridir. Ba\u015fka bir deyi\u015fle medyan s\u0131ral\u0131 veri setini iki e\u015fit par\u00e7aya b\u00f6ler.<\/p>\n<p> Medyan\u0131n hesaplanmas\u0131, toplam veri say\u0131s\u0131n\u0131n \u00e7ift veya tek olmas\u0131na ba\u011fl\u0131d\u0131r:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Toplam veri eleman\u0131 say\u0131s\u0131 <strong>tek<\/strong> ise medyan verinin tam ortas\u0131ndaki de\u011fer olacakt\u0131r. Yani s\u0131ralanan verinin (n+1)\/2 konumundaki de\u011feri.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-77dc6f0bf6f823a8a8eea705245e20a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Me=x_{\\frac{n+1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"86\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Toplam veri \u00f6\u011fesi say\u0131s\u0131 <strong>\u00e7ift ise<\/strong> medyan, merkezdeki iki veri \u00f6\u011fesinin ortalamas\u0131 olacakt\u0131r. Yani s\u0131ral\u0131 verinin n\/2 ve n\/2+1 konumlar\u0131nda bulunan de\u011ferlerin aritmetik ortalamas\u0131d\u0131r.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bbb83dd436c25bf409381af4b9ac6daf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Me=\\cfrac{x_{\\frac{n}{2}}+x_{\\frac{n}{2}+1}}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"137\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/ul>\n<p> Alt\u0131n<\/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-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rnekteki toplam veri say\u0131s\u0131d\u0131r ve <em>Me<\/em> simgesi medyan\u0131 g\u00f6sterir.<\/p>\n<h4 class=\"wp-block-heading\"> Medyan \u00f6rne\u011fi<\/h4>\n<ul>\n<li> A\u015fa\u011f\u0131daki verilerin ortancas\u0131n\u0131 bulun: 3, 4, 1, 6, 7, 4, 8, 2, 8, 4, 5<\/li>\n<\/ul>\n<p> Hesaplama yapmadan \u00f6nce ilk yapmam\u0131z gereken verileri s\u0131n\u0131fland\u0131rmak yani say\u0131lar\u0131 k\u00fc\u00e7\u00fckten b\u00fcy\u00fc\u011fe do\u011fru s\u0131ral\u0131yoruz.<\/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-66bd6eb6e038aceb432e9078139a5157_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1 \\ 2 \\ 3 \\ 4 \\ 4 \\ 4 \\ 5 \\ 6 \\ 7 \\ 8 \\ 8 \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"156\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Bu durumda 11 g\u00f6zlemimiz var, yani toplam veri say\u0131s\u0131 tektir. Bu nedenle medyan\u0131n konumunu hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc uygular\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-32d719dc54c111f87ba2fdb212d3093e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{n+1}{2}=\\cfrac{11+1}{2}=6\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"148\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Bu nedenle medyan alt\u0131nc\u0131 konumda yer alan veri olacakt\u0131r ve bu durumda bu de\u011fer 4&#8217;e kar\u015f\u0131l\u0131k gelir.<\/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-174e1771d0c146196de54616df78a08f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Me=x_6=4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"101\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> Bu t\u00fcr merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fcn\u00fcn grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in buray\u0131 t\u0131klay\u0131n: <\/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\/medyan\/\">Grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in medyan<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"moda\"><\/span> Moda<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0130statistikte <strong>mod<\/strong> , veri k\u00fcmesindeki mutlak frekans\u0131 en y\u00fcksek olan de\u011ferdir, yani mod, bir veri k\u00fcmesinde en \u00e7ok tekrarlanan de\u011ferdir.<\/p>\n<p> Bu nedenle, istatistiksel bir veri k\u00fcmesinin modunu hesaplamak i\u00e7in, her veri \u00f6\u011fesinin \u00f6rnekte ka\u00e7 kez g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc sayman\u0131z yeterlidir; en \u00e7ok tekrarlanan veri, mod olacakt\u0131r.<\/p>\n<p> Modun <strong>istatistiksel mod<\/strong> veya <strong>modal de\u011fer<\/strong> oldu\u011fu da s\u00f6ylenebilir.<\/p>\n<p> En \u00e7ok tekrarlanan de\u011ferlerin say\u0131s\u0131na g\u00f6re \u00fc\u00e7 t\u00fcr mod ay\u0131rt edilebilir:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Tek modlu mod<\/strong> : Maksimum tekrar say\u0131s\u0131na sahip yaln\u0131zca bir de\u011fer vard\u0131r. \u00d6rne\u011fin, [1, 4, 2, 4, 5, 3].<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Bimodal mod<\/strong> : Maksimum tekrar say\u0131s\u0131 iki farkl\u0131 de\u011ferde ger\u00e7ekle\u015fir ve her iki de\u011fer de ayn\u0131 say\u0131da tekrarlan\u0131r. \u00d6rne\u011fin, [2, 6, 7, 2, 3, 6, 9].<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>Multimodal mod<\/strong> : \u00dc\u00e7 veya daha fazla de\u011fer ayn\u0131 maksimum tekrar say\u0131s\u0131na sahiptir. \u00d6rne\u011fin, [3, 3, 4, 1, 3, 4, 2, 1, 4, 5, 2, 1].<\/span><\/li>\n<\/ul>\n<h4 class=\"wp-block-heading\"> moda \u00f6rne\u011fi<\/h4>\n<ul>\n<li> A\u015fa\u011f\u0131daki veri k\u00fcmesinin modu nedir?<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b9d143a47d4179a48adbf316073f1c04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5 \\ 4 \\ 9 \\ 7 \\ 2 \\ 3 \\ 9 \\ 6 \\ 5 \\ 2 \\ 5 \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"156\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Say\u0131lar s\u0131ral\u0131 de\u011fil, bu y\u00fczden yapaca\u011f\u0131m\u0131z ilk \u015fey onlar\u0131 s\u0131ralamak olacak. Bu ad\u0131m zorunlu de\u011fildir ancak moday\u0131 daha kolay bulman\u0131za yard\u0131mc\u0131 olacakt\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-80806fdd8f9c1cdbb41dddfec720050d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2 \\ 2 \\ 3 \\ 4 \\ 5 \\ 5 \\ 5 \\ 6 \\ 7 \\ 9 \\ 9 \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"157\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> 2 ve 9 say\u0131lar\u0131 iki kez g\u00f6r\u00fcn\u00fcyor, ancak 5 say\u0131s\u0131 \u00fc\u00e7 kez tekrarlan\u0131yor. Bu nedenle veri serisinin modu 5 numarad\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-4ebf577b66fe6e1a378033eefda49935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo=5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"59\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Veriler s\u0131n\u0131flara veya aral\u0131klara grupland\u0131r\u0131ld\u0131\u011f\u0131nda modun belirli bir form\u00fcl kullan\u0131larak hesaplanmas\u0131 gerekir. Nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in a\u015fa\u011f\u0131daki ba\u011flant\u0131ya t\u0131klay\u0131n: <\/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\/istatistiksel-mod\/\">Grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in mod<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-las-medidas-de-tendencia-central\"><\/span> Merkezi E\u011filim Hesaplay\u0131c\u0131 \u00d6l\u00e7\u00fcmleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> T\u00fcm merkezi e\u011filim \u00f6l\u00e7\u00fclerini hesaplamak i\u00e7in herhangi bir istatistiksel \u00f6rnekten verileri a\u015fa\u011f\u0131daki \u00e7evrimi\u00e7i hesap makinesine girin. Veriler bir bo\u015flukla ayr\u0131lmal\u0131 ve ondal\u0131k ay\u0131r\u0131c\u0131 olarak nokta kullan\u0131larak girilmelidir. <\/p>\n<form action=\"\" method=\"post\"><textarea name=\"datos\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"1 2 3 9.7 10 65.91 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"Ortalamay\u0131, medyan\u0131 ve modu hesaplay\u0131n\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirven-las-medidas-de-tendencia-central\"><\/span> Merkezi e\u011filim \u00f6l\u00e7\u00fcleri ne i\u00e7in kullan\u0131l\u0131r?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00d6ncelikle merkezi e\u011filim \u00f6l\u00e7\u00fcleri, bir dizi istatistiksel verinin merkezi de\u011ferlerini temsil eden bir say\u0131y\u0131 bulmak i\u00e7in kullan\u0131l\u0131r. Yani bu istatistiksel parametrelerin amac\u0131, bir veri serisinde bulunan de\u011ferler hakk\u0131nda fikir edinilmesine yard\u0131mc\u0131 olmakt\u0131r.<\/p>\n<p> Ayr\u0131ca merkezi e\u011filim \u00f6l\u00e7\u00fcleri kar\u015f\u0131la\u015ft\u0131rma a\u00e7\u0131s\u0131ndan olduk\u00e7a faydal\u0131d\u0131r. \u00d6rne\u011fin bir \u00fcr\u00fcn\u00fcn ortalama kalite kontrol puan\u0131 8 ise ve yeni bir \u00fcr\u00fcn \u00fcretilip 6 puan al\u0131yorsa bu yeni \u00fcr\u00fcn\u00fcn normalde \u00fcretilenlerden daha k\u00f6t\u00fc oldu\u011fu anlam\u0131na gelir.<\/p>\n<p> Ancak, e\u011fer sadece merkezi e\u011filim \u00f6l\u00e7\u00fclerini biliyorsak, bir da\u011f\u0131l\u0131m\u0131n \u015feklini bilmek zordur. Bu nedenle merkezi e\u011filim \u00f6l\u00e7\u00fclerinin da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcleriyle birle\u015ftirilmesi tavsiye edilir, \u00e7\u00fcnk\u00fc bunlar verilerin merkezi de\u011ferler etraf\u0131nda yo\u011funla\u015f\u0131p yo\u011funla\u015fmad\u0131\u011f\u0131n\u0131 veya tam tersine verilerin da\u011f\u0131n\u0131k olup olmad\u0131\u011f\u0131n\u0131 belirlemeyi m\u00fcmk\u00fcn k\u0131lar.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede merkezi e\u011filim \u00f6l\u00e7\u00fclerinin ne oldu\u011funu, ne olduklar\u0131n\u0131, her t\u00fcr merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fcn\u00fcn \u00f6rneklerini \u00f6\u011freneceksiniz ve ayr\u0131ca bir \u00e7evrimi\u00e7i hesap makinesiyle bir \u00f6rne\u011fin t\u00fcm merkezi e\u011filim \u00f6l\u00e7\u00fclerini hesaplayabileceksiniz. . Merkezi e\u011filim \u00f6l\u00e7\u00fcleri nelerdir? Merkezi e\u011filim \u00f6l\u00e7\u00fcleri veya merkezile\u015ftirme \u00f6l\u00e7\u00fcleri , bir da\u011f\u0131l\u0131m\u0131n merkezi de\u011ferini g\u00f6steren istatistiksel \u00f6l\u00e7\u00fclerdir. Ba\u015fka bir deyi\u015fle, merkezi e\u011filim \u00f6l\u00e7\u00fcleri, bir [&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-125","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 Merkezi e\u011filim \u00f6l\u00e7\u00fcmleri<\/title>\n<meta name=\"description\" content=\"Burada merkezi e\u011filim \u00f6l\u00e7\u00fclerinin ne oldu\u011funu, her birinin \u00f6rneklerini ve ayr\u0131ca merkezi e\u011filim \u00f6l\u00e7\u00fcleri i\u00e7in bir hesap makinesi bulacaks\u0131n\u0131z.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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