{"id":409,"date":"2023-07-30T16:50:52","date_gmt":"2023-07-30T16:50:52","guid":{"rendered":"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/"},"modified":"2023-07-30T16:50:52","modified_gmt":"2023-07-30T16:50:52","slug":"merkezi-egilimi-olcer","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/","title":{"rendered":"Merkezi e\u011filim \u00f6l\u00e7\u00fcleri: tan\u0131m ve \u00f6rnekler"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fc,<\/strong> bir veri k\u00fcmesinin merkezi noktas\u0131n\u0131 temsil eden tek bir de\u011ferdir. Bu de\u011fer ayn\u0131 zamanda bir veri setinin \u201cmerkezi konumu\u201d olarak da adland\u0131r\u0131labilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistikte merkezi e\u011filimin \u00fc\u00e7 yayg\u0131n \u00f6l\u00e7\u00fcs\u00fc vard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Ortalama<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>medyan<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><b>Moda<\/b><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu \u00f6nlemlerin her biri, farkl\u0131 y\u00f6ntemler kullanarak bir veri k\u00fcmesinin merkezi konumunu bulur.<\/span> <span style=\"color: #000000;\">Analiz etti\u011finiz veri t\u00fcr\u00fcne ba\u011fl\u0131 olarak di\u011fer ikisi yerine bu \u00fc\u00e7 \u00f6l\u00e7\u00fcmden birini kullanmak daha iyi olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu makalede, merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fcn\u00fcn her birinin nas\u0131l hesaplanaca\u011f\u0131na ve verilerinize dayanarak hangi \u00f6l\u00e7\u00fcn\u00fcn en iyi \u015fekilde kullan\u0131laca\u011f\u0131na nas\u0131l karar verece\u011finize bakaca\u011f\u0131z.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Merkezi e\u011filim \u00f6l\u00e7\u00fcleri neden faydal\u0131d\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Ortalaman\u0131n, medyan\u0131n ve modun nas\u0131l hesaplanaca\u011f\u0131na bakmadan \u00f6nce, bu \u00f6l\u00e7\u00fcmlerin asl\u0131nda <em>neden<\/em> yararl\u0131 oldu\u011funu anlamak faydal\u0131 olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki senaryoyu d\u00fc\u015f\u00fcn\u00fcn:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\">Gen\u00e7 bir \u00e7ift, yeni bir \u015fehirde ilk evlerini nereden sat\u0131n alacaklar\u0131na karar vermeye \u00e7al\u0131\u015fmaktad\u0131r ve harcayabilecekleri en fazla miktar 150.000 dolard\u0131r. \u015eehrin baz\u0131 b\u00f6lgelerinde pahal\u0131 evler, baz\u0131lar\u0131nda ucuz evler, baz\u0131lar\u0131nda ise orta fiyatl\u0131 evler bulunuyor. Aramalar\u0131n\u0131 kolayca b\u00fct\u00e7elerine uygun belirli mahallelere daraltmak istiyorlar.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">\u00c7ift, her mahalledeki m\u00fcstakil evlerin fiyatlar\u0131na baksayd\u0131, hangi mahallelerin b\u00fct\u00e7elerine en uygun oldu\u011funu belirlemekte zorluk ya\u015fayabilirler \u00e7\u00fcnk\u00fc \u015f\u00f6yle bir \u015fey g\u00f6rebilirler:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Mahalle <em>A<\/em> ev fiyatlar\u0131:<\/strong> 140.000 $, 190.000 $, 265.000 $, 115.000 $, 270.000 $, 240.000 $, 250.000 $, 180.000 $, 160.000 $, 200.000 $, 240.000 $, 280.000 $,\u2026<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>B<\/em> Mahallesi ev fiyatlar\u0131:<\/strong> 140.000 $, 290.000 $, 155.000 $, 165.000 $, 280.000 $, 220.000 $, 155.000 $, 185.000 $, 160.000 $, 200.000 $, 190.000 $, 140.000 $, 145,0 $ 0 0,\u2026<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>C<\/em> Mahallesi ev fiyatlar\u0131:<\/strong> 140.000 $, 130.000 $, 165.000 $, 115.000 $, 170.000 $, 100.000 $, 150.000 $, 180.000 $, 190.000 $, 120.000 $, 110.000 $, 130.000 $, 120,0 $ 0 0,\u2026<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bununla birlikte, e\u011fer her mahalledeki evlerin <em>ortalama<\/em> fiyat\u0131n\u0131 (\u00f6rne\u011fin merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fc) bilselerdi, o zaman aramalar\u0131n\u0131 \u00e7ok daha h\u0131zl\u0131 bir \u015fekilde hassasla\u015ft\u0131rabilirlerdi \u00e7\u00fcnk\u00fc hangi mahallenin b\u00fct\u00e7elerine uygun ev fiyatlar\u0131na sahip oldu\u011funu daha kolay tespit edebilirlerdi:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>A mahallesindeki <em>bir<\/em> evin ortalama fiyat\u0131:<\/strong> 220.000 $<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>B<\/em> mahallesindeki bir evin ortalama fiyat\u0131:<\/strong> 190.000 $<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>C<\/em> mahallesindeki bir evin ortalama fiyat\u0131:<\/strong> 140.000 $<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her mahalledeki ortalama ev fiyat\u0131n\u0131 bilerek, Mahalle <em>C&#8217;nin<\/em> b\u00fct\u00e7eleri dahilinde en fazla mevcut evin bulunabilece\u011fini hemen g\u00f6rebilirler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fc kullanman\u0131n yarar\u0131d\u0131r: veri de\u011ferlerinin genellikle nerede bulundu\u011funu a\u00e7\u0131klama e\u011filiminde olan bir veri k\u00fcmesinin merkezi de\u011ferini anlaman\u0131za yard\u0131mc\u0131 olur. Bu \u00f6zel \u00f6rnekte, gen\u00e7 \u00e7iftin her mahalledeki bir evin tipik fiyat\u0131n\u0131 anlamas\u0131na yard\u0131mc\u0131 oluyor.<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>\u00c7\u0131kar\u0131m:<\/strong> Merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fc faydal\u0131d\u0131r \u00e7\u00fcnk\u00fc bize bir veri k\u00fcmesinin &#8220;merkezini&#8221; tan\u0131mlayan tek bir de\u011fer sa\u011flar. Bu, bir veri k\u00fcmesini yaln\u0131zca veri k\u00fcmesindeki t\u00fcm bireysel de\u011ferlere bakmaktan \u00e7ok daha h\u0131zl\u0131 anlamam\u0131za yard\u0131mc\u0131 olur.<\/span><\/p>\n<\/blockquote>\n<h2> <strong><span style=\"color: #000000;\">Anlam<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Merkezi e\u011filim \u00f6l\u00e7\u00fcm\u00fcnde en s\u0131k kullan\u0131lan \u00f6l\u00e7\u00fc <strong>ortalamad\u0131r<\/strong> . Bir veri k\u00fcmesinin ortalamas\u0131n\u0131 hesaplamak i\u00e7in t\u00fcm bireysel de\u011ferleri toplay\u0131p toplam de\u011fer say\u0131s\u0131na b\u00f6lmeniz yeterlidir.<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">Ortalama = (t\u00fcm de\u011ferlerin toplam\u0131) \/ (toplam de\u011fer say\u0131s\u0131)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir sezon boyunca ayn\u0131 tak\u0131mdaki 10 beyzbol oyuncusunun isabetli say\u0131lar\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">oyuncu<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#1<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#2<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#3<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#4<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#5<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#6<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#7<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#8<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#9<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#on<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Ev ko\u015fular\u0131<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">22<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">21<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">12<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">9<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">11<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">27<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">14<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">13<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Oyuncu ba\u015f\u0131na isabet eden ortalama home run say\u0131s\u0131 \u015fu \u015fekilde hesaplanabilir:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">Ortalama = (8+15+22+21+12+9+11+27+14+13) \/ 10 = <strong>15,2<\/strong> <strong>devre<\/strong> .<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong><span style=\"color: #000000;\">Medyan<\/span><\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><strong>Medyan,<\/strong> bir veri k\u00fcmesinin ortadaki de\u011feridir. Bir veri k\u00fcmesindeki t\u00fcm bireysel de\u011ferleri k\u00fc\u00e7\u00fckten b\u00fcy\u00fc\u011fe s\u0131ralay\u0131p ortanca de\u011ferini bularak ortancay\u0131 bulabilirsiniz. Tek say\u0131da de\u011fer varsa ortanca de\u011fer ortadaki de\u011ferdir. \u00c7ift say\u0131da de\u011fer varsa medyan ortadaki iki de\u011ferin ortalamas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, \u00f6nceki \u00f6rnekte 10 beyzbol oyuncusunun vurdu\u011fu home runlar\u0131n medyan say\u0131s\u0131n\u0131 bulmak i\u00e7in, oyuncular\u0131 vurulan home run say\u0131s\u0131na g\u00f6re azalan s\u0131rada s\u0131ralayabiliriz:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">oyuncu<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#1<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#6<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#7<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#5<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#on<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#9<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#2<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#4<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#3<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#8<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Ev ko\u015fular\u0131<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">9<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">11<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">12<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>13<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>14<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">21<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">22<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">27<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">\u00c7ift say\u0131da de\u011fere sahip oldu\u011fumuz i\u00e7in medyan, ortadaki iki de\u011ferin ortalamas\u0131d\u0131r: <strong>13,5<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunun yerine dokuz oyuncumuz olup olmad\u0131\u011f\u0131n\u0131 d\u00fc\u015f\u00fcn\u00fcn:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">oyuncu<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#1<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#6<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#7<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#5<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#9<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#2<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#4<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#3<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#8<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Ev ko\u015fular\u0131<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">9<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">11<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">12<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>14<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">21<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">22<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">27<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Bu durumda, tek say\u0131da de\u011fere sahip oldu\u011fumuz i\u00e7in medyan sadece ortadaki de\u011ferdir: <strong>14<\/strong> .<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Moda<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><strong>Mod,<\/strong> bir veri setinde en s\u0131k g\u00f6r\u00fclen de\u011ferdir. Bir veri k\u00fcmesinde hi\u00e7bir mod (e\u011fer hi\u00e7bir de\u011fer tekrarlanm\u0131yorsa), bir mod veya birden fazla mod bulunabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki veri k\u00fcmesinin modu yoktur:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">oyuncu<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#1<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#2<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#3<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#4<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#5<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#6<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#7<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#8<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#9<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#on<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Ev ko\u015fular\u0131<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">9<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">11<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">12<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">13<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">14<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">21<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">22<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">27<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veri k\u00fcmesinin bir modu vard\u0131r: <strong>15<\/strong> . Bu en s\u0131k g\u00f6r\u00fclen de\u011ferdir.<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">oyuncu<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#1<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#2<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#3<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#4<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#5<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#6<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#7<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#8<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#9<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#on<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Ev ko\u015fular\u0131<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">9<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">11<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">12<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">13<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>15<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>15<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">21<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">22<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">27<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veri k\u00fcmesinin \u00fc\u00e7 modu vard\u0131r: <strong>8, 15, 19<\/strong> . Bunlar en s\u0131k g\u00f6r\u00fclen de\u011ferlerdir.<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">oyuncu<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#1<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#2<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#3<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#4<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#5<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#6<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#7<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#8<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#9<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#on<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Ev ko\u015fular\u0131<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>8<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>8<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">11<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">12<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>15<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>15<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">17<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>19<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>19<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">27<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Mod, kategorik verilerle \u00e7al\u0131\u015f\u0131rken \u00f6zellikle yararl\u0131 bir merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fc olabilir \u00e7\u00fcnk\u00fc bize hangi kategorinin en s\u0131k g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc s\u00f6yler. \u00d6rne\u011fin, insanlar\u0131n en sevdi\u011fi renkle ilgili bir anketin sonu\u00e7lar\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki \u00e7ubuk grafi\u011fi d\u00fc\u015f\u00fcn\u00fcn:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4775 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mode_bar_chart.jpg\" alt=\"\" width=\"512\" height=\"396\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Mod<\/strong> veya en s\u0131k meydana gelen yan\u0131t maviydi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Verilerin kategorik oldu\u011fu senaryolarda (yukar\u0131daki gibi), medyan\u0131 veya ortalamay\u0131 hesaplamak bile m\u00fcmk\u00fcn de\u011fildir, dolay\u0131s\u0131yla mod, kullanabilece\u011fimiz tek merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu mod ayn\u0131 zamanda yukar\u0131daki \u00f6rnekte beyzbol oyuncular\u0131 ile g\u00f6rd\u00fc\u011f\u00fcm\u00fcz gibi say\u0131sal veriler i\u00e7in de kullan\u0131labilir. Ancak mod <em>, &#8220;Bu veri k\u00fcmesi i\u00e7in tipik de\u011fer nedir?&#8221;<\/em> sorusunun yan\u0131tlanmas\u0131nda daha az yararl\u0131 olma e\u011filimindedir. <em>\u00bb<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bu tak\u0131mdaki bir beyzbol oyuncusunun vurdu\u011fu say\u0131n\u0131n tipik say\u0131s\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">oyuncu<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#1<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#2<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#3<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#4<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#5<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#6<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#7<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#8<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#9<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#on<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Ev ko\u015fular\u0131<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">11<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">12<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">17<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">19<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">19<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">27<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesinin modu 8, 15 ve 19&#8217;dur \u00e7\u00fcnk\u00fc bunlar en s\u0131k g\u00f6r\u00fclen de\u011ferlerdir. Ancak bunlar, tak\u0131mdaki bir oyuncunun vurdu\u011fu tipik home run say\u0131s\u0131n\u0131 anlamada pek yard\u0131mc\u0131 olmuyor. Bu durumda merkezi e\u011filimin daha iyi bir \u00f6l\u00e7\u00fcs\u00fc medyan (15) veya ortalama (yine 15) olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mod ayn\u0131 zamanda di\u011fer de\u011ferlerden uzak bir say\u0131 oldu\u011funda merkezi e\u011filimin zay\u0131f bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. \u00d6rne\u011fin, a\u015fa\u011f\u0131daki veri setinin modu 30&#8217;dur, ancak bu asl\u0131nda tak\u0131mdaki oyuncu ba\u015f\u0131na d\u00fc\u015fen &#8220;tipik&#8221; home run say\u0131s\u0131n\u0131 temsil etmez:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">oyuncu<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#1<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#2<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#3<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#4<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#5<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#6<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#7<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#8<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#9<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">#on<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Ev ko\u015fular\u0131<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">5<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">6<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">7<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">on<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">11<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">12<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">13<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">30<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">30<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Yine ortalama veya medyan, bu veri setinin merkezi konumunu tan\u0131mlamada daha iyi bir i\u015f \u00e7\u0131karacakt\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ortalama, Medyan ve Mod Ne Zaman Kullan\u0131lmal\u0131?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Ortalaman\u0131n, medyan\u0131n ve modun hepsinin bir veri k\u00fcmesinin merkezi konumunu veya &#8220;tipik de\u011ferini&#8221; \u00e7ok farkl\u0131 \u015fekillerde \u00f6l\u00e7t\u00fc\u011f\u00fcn\u00fc g\u00f6rd\u00fck:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ortalama:<\/strong> Bir veri k\u00fcmesindeki ortalama de\u011feri bulur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Medyan:<\/strong> Bir veri k\u00fcmesindeki medyan de\u011ferini bulur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Mod:<\/strong> Bir veri k\u00fcmesinde en s\u0131k g\u00f6r\u00fclen de\u011feri bulur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Baz\u0131 merkezi e\u011filim \u00f6l\u00e7\u00fclerinin kullan\u0131m\u0131n\u0131n di\u011ferlerinden daha iyi oldu\u011fu senaryolar \u015funlard\u0131r:<\/span><\/p>\n<h3> <strong>Ortalama ne zaman kullan\u0131l\u0131r?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Veri da\u011f\u0131l\u0131m\u0131 olduk\u00e7a simetrik oldu\u011funda ve ayk\u0131r\u0131 de\u011ferler olmad\u0131\u011f\u0131nda ortalamay\u0131 kullanmak en iyisidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u015fehirdeki bireylerin maa\u015flar\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki da\u011f\u0131l\u0131ma sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4776 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyenne_dist.jpg\" alt=\"\" width=\"468\" height=\"445\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu da\u011f\u0131l\u0131m olduk\u00e7a simetrik oldu\u011fundan (yani ikiye b\u00f6lerseniz her iki yar\u0131 da kabaca e\u015fit g\u00f6r\u00fcn\u00fcr) ve ayk\u0131r\u0131 de\u011ferler olmad\u0131\u011f\u0131ndan (\u00f6rne\u011fin a\u015f\u0131r\u0131 y\u00fcksek maa\u015flar yok), ortalama bu veri setini tan\u0131mlamada iyi bir i\u015f \u00e7\u0131karacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama 63.000 dolar olarak ortaya \u00e7\u0131k\u0131yor ve bu da kabaca da\u011f\u0131l\u0131m\u0131n merkezinde yer al\u0131yor:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4777 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyenne_dist2.jpg\" alt=\"\" width=\"476\" height=\"450\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Medyan ne zaman kullan\u0131l\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Veri da\u011f\u0131l\u0131m\u0131 \u00e7arp\u0131k oldu\u011funda veya ayk\u0131r\u0131 de\u011ferler oldu\u011funda medyan\u0131 kullanmak en iyisidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6nyarg\u0131l\u0131 veriler:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131t\u0131m \u00e7arp\u0131k oldu\u011funda medyan yine de merkezi konumu yakalamay\u0131 ba\u015far\u0131r. \u00d6rne\u011fin belirli bir \u015fehirdeki bireylerin maa\u015flar\u0131n\u0131n a\u015fa\u011f\u0131daki da\u011f\u0131l\u0131m\u0131n\u0131 d\u00fc\u015f\u00fcn\u00fcn:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4778 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mediane_diste.jpg\" alt=\"\" width=\"473\" height=\"439\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Medyan, bireyin \u201ctipik\u201d maa\u015f\u0131n\u0131 ortalamadan daha iyi yans\u0131t\u0131r. Bunun nedeni, bir da\u011f\u0131l\u0131m\u0131n kuyru\u011fundaki b\u00fcy\u00fck de\u011ferlerin ortalamay\u0131 merkezden uzun kuyru\u011fa do\u011fru kayd\u0131rma e\u011filiminde olmas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6zel \u00f6rnekte, ortalama bize bu \u015fehirde tipik bir bireyin y\u0131lda yakla\u015f\u0131k 47.000 dolar kazand\u0131\u011f\u0131n\u0131 s\u00f6ylerken medyan bize tipik bir bireyin y\u0131lda yaln\u0131zca 32.000 dolar civar\u0131nda kazand\u0131\u011f\u0131n\u0131 s\u00f6yl\u00fcyor, bu da tipik bir bireyi \u00e7ok daha iyi temsil ediyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><span style=\"color: #000000;\">Ayk\u0131r\u0131 De\u011ferler:<\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Medyan ayr\u0131ca verilerde ayk\u0131r\u0131 de\u011ferler oldu\u011funda da\u011f\u0131l\u0131m\u0131n merkezi konumunun daha iyi yakalanmas\u0131na yard\u0131mc\u0131 olur. \u00d6rne\u011fin, belirli bir caddedeki evlerin metrekaresini g\u00f6steren a\u015fa\u011f\u0131daki grafi\u011fi d\u00fc\u015f\u00fcn\u00fcn:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4779 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyenne_dist3.jpg\" alt=\"\" width=\"478\" height=\"416\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ortalama, birka\u00e7 a\u015f\u0131r\u0131 b\u00fcy\u00fck evden b\u00fcy\u00fck \u00f6l\u00e7\u00fcde etkilenirken, medyan etkilenmemektedir. B\u00f6ylece medyan, o sokaktaki bir evin &#8220;tipik&#8221; metrekaresini yakalama konusunda ortalamadan daha iyi bir i\u015f \u00e7\u0131kar\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Modu ne zaman kullanmal\u0131?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu mod, kategorik verilerle \u00e7al\u0131\u015f\u0131rken ve hangi kategorinin en s\u0131k g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc bilmek istedi\u011finizde en iyi \u015fekilde kullan\u0131l\u0131r. \u0130\u015fte baz\u0131 \u00f6rnekler:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130nsanlar\u0131n en sevdi\u011fi renkler \u00fczerine bir anket yap\u0131yorsunuz ve yan\u0131tlarda en s\u0131k hangi rengin g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc bilmek istiyorsunuz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130nsanlar\u0131n web sitesi tasar\u0131m\u0131 i\u00e7in \u00fc\u00e7 se\u00e7enek aras\u0131ndan tercihlerini \u00f6l\u00e7en bir anket yap\u0131yorsunuz ve insanlar\u0131n en \u00e7ok hangi tasar\u0131m\u0131 tercih etti\u011fini bilmek istiyorsunuz.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Daha \u00f6nce de belirtildi\u011fi gibi, kategorik verilerle \u00e7al\u0131\u015f\u0131yorsan\u0131z medyan\u0131 veya ortalamay\u0131 hesaplamak bile m\u00fcmk\u00fcn de\u011fildir, bu da modu merkezi e\u011filimin tek \u00f6l\u00e7\u00fcs\u00fc olarak b\u0131rak\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel olarak, evlerin metrekaresi, oyuncu ba\u015f\u0131na isabet eden say\u0131 say\u0131s\u0131, ki\u015fi ba\u015f\u0131na maa\u015f vb. gibi say\u0131sal verilerle \u00e7al\u0131\u015f\u0131yorsan\u0131z, &#8220;tipik&#8221; de\u011feri tan\u0131mlamak i\u00e7in genellikle medyan veya ortalamay\u0131 kullanmak en iyisidir. veri k\u00fcmesi.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not:<\/strong> Bir veri k\u00fcmesi <em>tamamen<\/em> normal bir \u015fekilde da\u011f\u0131l\u0131yorsa ortalama, medyan ve modun hepsinin ayn\u0131 de\u011fere sahip olaca\u011f\u0131n\u0131 unutmamak \u00f6nemlidir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fc, bir veri k\u00fcmesinin merkezi noktas\u0131n\u0131 temsil eden tek bir de\u011ferdir. Bu de\u011fer ayn\u0131 zamanda bir veri setinin \u201cmerkezi konumu\u201d olarak da adland\u0131r\u0131labilir. \u0130statistikte merkezi e\u011filimin \u00fc\u00e7 yayg\u0131n \u00f6l\u00e7\u00fcs\u00fc vard\u0131r: Ortalama medyan Moda Bu \u00f6nlemlerin her biri, farkl\u0131 y\u00f6ntemler kullanarak bir veri k\u00fcmesinin merkezi konumunu bulur. Analiz etti\u011finiz veri t\u00fcr\u00fcne ba\u011fl\u0131 olarak di\u011fer [&hellip;]<\/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-409","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Merkezi e\u011filim \u00f6l\u00e7\u00fcleri: tan\u0131m ve \u00f6rnekler - Statoryaller<\/title>\n<meta name=\"description\" content=\"\u0130statistikteki merkezi e\u011filim \u00f6l\u00e7\u00fclerinin birka\u00e7 \u00f6rnekle birlikte basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Merkezi e\u011filim \u00f6l\u00e7\u00fcleri: tan\u0131m ve \u00f6rnekler - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"\u0130statistikteki merkezi e\u011filim \u00f6l\u00e7\u00fclerinin birka\u00e7 \u00f6rnekle birlikte basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-30T16:50:52+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mode_bar_chart.jpg\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"8 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\",\"url\":\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\",\"name\":\"Merkezi e\u011filim \u00f6l\u00e7\u00fcleri: tan\u0131m ve \u00f6rnekler - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-30T16:50:52+00:00\",\"dateModified\":\"2023-07-30T16:50:52+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"\u0130statistikteki merkezi e\u011filim \u00f6l\u00e7\u00fclerinin birka\u00e7 \u00f6rnekle birlikte basit bir a\u00e7\u0131klamas\u0131.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Merkezi e\u011filim \u00f6l\u00e7\u00fcleri: tan\u0131m ve \u00f6rnekler\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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