{"id":1392,"date":"2025-11-10T00:09:05","date_gmt":"2025-11-09T21:09:05","guid":{"rendered":"https:\/\/www.facadium.com.tr\/blog\/?p=1392"},"modified":"2025-11-10T00:09:07","modified_gmt":"2025-11-09T21:09:07","slug":"istatistikte-mod-nedir","status":"publish","type":"post","link":"https:\/\/www.facadium.com.tr\/blog\/istatistikte-mod-nedir\/","title":{"rendered":"\u0130statistikte Mod Nedir?"},"content":{"rendered":"\n<div class=\"wp-block-rank-math-toc-block\" id=\"rank-math-toc\"><h2>\u0130\u00e7indekiler<\/h2><nav><ul><li class=\"\"><a href=\"#giris-istatistikte-mod-nedir-mod-neden-istatistigin-en-onemli-kavramlarindan-biri\">Giri\u015f: \u0130statistikte Mod Nedir? Mod Neden \u0130statisti\u011fin En \u00d6nemli Kavramlar\u0131ndan Biri?<\/a><\/li><li class=\"\"><a href=\"#1-mod-mode-nedir\">1. Mod (Mode) Nedir?<\/a><ul><li class=\"\"><a href=\"#matematiksel-tanim\">Matematiksel tan\u0131m:<\/a><\/li><\/ul><\/li><li class=\"\"><a href=\"#2-mod-ne-ise-yarar\">2. Mod Ne \u0130\u015fe Yarar?<\/a><\/li><li class=\"\"><a href=\"#3-modun-ortalamaya-gore-avantaji\">3. Modun Ortalamaya G\u00f6re Avantaj\u0131<\/a><\/li><li class=\"\"><a href=\"#4-veri-turlerine-gore-mod-kullanimi\">4. Veri T\u00fcrlerine G\u00f6re Mod Kullan\u0131m\u0131<\/a><\/li><li class=\"\"><a href=\"#5-mod-ornekleri\">5. Mod \u00d6rnekleri<\/a><ul><li class=\"\"><a href=\"#ornek-1-renk-tercihleri\">\u00d6rnek 1: Renk Tercihleri<\/a><\/li><li class=\"\"><a href=\"#ornek-2-sinav-notlari\">\u00d6rnek 2: S\u0131nav Notlar\u0131<\/a><\/li><li class=\"\"><a href=\"#ornek-3-satilan-telefon-modelleri\">\u00d6rnek 3: Sat\u0131lan Telefon Modelleri<\/a><\/li><\/ul><\/li><li class=\"\"><a href=\"#6-modun-turleri\">6. Modun T\u00fcrleri<\/a><ul><li class=\"\"><a href=\"#1-tek-modlu-unimodal\">1. Tek modlu (Unimodal)<\/a><\/li><li class=\"\"><a href=\"#2-cift-modlu-bimodal\">2. \u00c7ift modlu (Bimodal)<\/a><\/li><li class=\"\"><a href=\"#3-cok-modlu-multimodal\">3. \u00c7ok modlu (Multimodal)<\/a><\/li><li class=\"\"><a href=\"#4-modesiz-veri-no-mode\">4. Modesiz veri (No Mode)<\/a><\/li><\/ul><\/li><li class=\"\"><a href=\"#7-gruplandirilmis-verilerde-mod-hesaplama\">7. Grupland\u0131r\u0131lm\u0131\u015f Verilerde Mod Hesaplama<\/a><\/li><li class=\"\"><a href=\"#ornek-gruplandirilmis-veri\">\u00d6rnek (Grupland\u0131r\u0131lm\u0131\u015f Veri)<\/a><\/li><li class=\"\"><a href=\"#8-mod-neden-onemlidir\">8. Mod Neden \u00d6nemlidir?<\/a><\/li><li class=\"\"><a href=\"#9-gercek-hayattan-mod-ornekleri\">9. Ger\u00e7ek Hayattan Mod \u00d6rnekleri<\/a><ul><li class=\"\"><a href=\"#1-pazarlama\">1. Pazarlama<\/a><\/li><li class=\"\"><a href=\"#2-egitim\">2. E\u011fitim<\/a><\/li><li class=\"\"><a href=\"#3-saglik\">3. Sa\u011fl\u0131k<\/a><\/li><li class=\"\"><a href=\"#4-ekonomi\">4. Ekonomi<\/a><\/li><\/ul><\/li><li class=\"\"><a href=\"#10-dunyada-en-cok-sorulan-sorular-ve-cevaplari\">10. D\u00fcnyada En \u00c7ok Sorulan Sorular ve Cevaplar\u0131<\/a><ul><li class=\"\"><a href=\"#1-mod-ile-ortalama-arasindaki-fark-nedir\">1. Mod ile ortalama aras\u0131ndaki fark nedir?<\/a><\/li><li class=\"\"><a href=\"#2-mod-her-veri-setinde-olur-mu\">2. Mod her veri setinde olur mu?<\/a><\/li><li class=\"\"><a href=\"#3-bir-veri-setinde-birden-fazla-mod-olabilir-mi\">3. Bir veri setinde birden fazla mod olabilir mi?<\/a><\/li><li class=\"\"><a href=\"#4-mod-hangi-veri-turlerinde-kullanilir\">4. Mod hangi veri t\u00fcrlerinde kullan\u0131l\u0131r?<\/a><\/li><li class=\"\"><a href=\"#5-en-cok-kullanilan-merkezi-egilim-olcusu-hangisidir\">5. En \u00e7ok kullan\u0131lan merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fc hangisidir?<\/a><\/li><li class=\"\"><a href=\"#6-mod-neden-guvenilir-bir-olcudur\">6. Mod neden g\u00fcvenilir bir \u00f6l\u00e7\u00fcd\u00fcr?<\/a><\/li><li class=\"\"><a href=\"#7-modun-zayif-yonu-nedir\">7. Modun zay\u0131f y\u00f6n\u00fc nedir?<\/a><\/li><li class=\"\"><a href=\"#8-surekli-verilerde-mod-nasil-hesaplanir\">8. S\u00fcrekli verilerde mod nas\u0131l hesaplan\u0131r?<\/a><\/li><li class=\"\"><a href=\"#9-mod-histogram-uzerinde-nasil-gorunur\">9. Mod histogram \u00fczerinde nas\u0131l g\u00f6r\u00fcn\u00fcr?<\/a><\/li><li class=\"\"><a href=\"#10-mod-medyan-ve-ortalama-birlikte-nasil-yorumlanir\">10. Mod, medyan ve ortalama birlikte nas\u0131l yorumlan\u0131r?<\/a><\/li><\/ul><\/li><li class=\"\"><a href=\"#11-sonuc-mod-istatistigin-en-pratik-ve-en-guclu-araclarindan-biri\">11. Sonu\u00e7: Mod, \u0130statisti\u011fin En Pratik ve En G\u00fc\u00e7l\u00fc Ara\u00e7lar\u0131ndan Biri<\/a><\/li><\/ul><\/nav><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"giris-istatistikte-mod-nedir-mod-neden-istatistigin-en-onemli-kavramlarindan-biri\"><strong>Giri\u015f: \u0130statistikte Mod Nedir?<\/strong> <strong>Mod Neden \u0130statisti\u011fin En \u00d6nemli Kavramlar\u0131ndan Biri?<\/strong><\/h2>\n\n\n\n<p><strong>\u0130statistikte Mod Nedir?<\/strong> \u0130statistik bilimi, verilerin \u00f6zetlenmesi ve yorumlanmas\u0131 \u00fczerine kuruludur. Bu nedenle verileri temsil edecek \u00f6zet \u00f6l\u00e7\u00fcler kritik bir role sahiptir. Bu \u00f6zet \u00f6l\u00e7\u00fclerden biri olan <strong>mod (mode)<\/strong>, hem g\u00fcnl\u00fck hayatta hem bilimsel ara\u015ft\u0131rmalarda en s\u0131k kullan\u0131lan merkezi e\u011filim \u00f6l\u00e7\u00fclerinden biridir.<\/p>\n\n\n\n<p>Baz\u0131 veri setlerinde <strong>ortalama<\/strong> anlaml\u0131 de\u011fildir. Baz\u0131lar\u0131nda <strong>medyan<\/strong> do\u011fru bir temsil sunamaz. Fakat <strong>mod<\/strong>, verilerde en \u00e7ok tekrar eden de\u011feri g\u00f6sterdi\u011fi i\u00e7in, \u00f6zellikle kategorik ve tekrara dayal\u0131 veri t\u00fcrlerinde tek g\u00fcvenilir \u00f6l\u00e7\u00fcd\u00fcr.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"1-mod-mode-nedir\"><strong>1. Mod (Mode) Nedir?<\/strong><\/h2>\n\n\n\n<p><strong>Mod<\/strong>, bir veri seti i\u00e7inde <strong>en \u00e7ok tekrar eden de\u011fer<\/strong> anlam\u0131na gelir.<br>En s\u0131k g\u00f6r\u00fclen, en pop\u00fcler, en yayg\u0131n de\u011feri temsil eder.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"matematiksel-tanim\">Matematiksel tan\u0131m:<\/h3>\n\n\n\n<p>Mod=en y\u00fcksek frekansa sahip de\u011fer<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-mod-ne-ise-yarar\"><strong>2. Mod Ne \u0130\u015fe Yarar?<\/strong><\/h2>\n\n\n\n<p>Mod \u00f6l\u00e7\u00fcs\u00fc:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Kategorik verilerin analizinde (cinsiyet, renk, marka tercihleri)<\/li>\n\n\n\n<li>En pop\u00fcler se\u00e7ene\u011fi belirlemek i\u00e7in<\/li>\n\n\n\n<li>Da\u011f\u0131l\u0131m\u0131n tepe noktas\u0131n\u0131 (peak) g\u00f6rmek i\u00e7in<\/li>\n\n\n\n<li>B\u00fcy\u00fck veri setlerinde en \u00e7ok tekrar eden davran\u0131\u015f\u0131 anlamak i\u00e7in<br>kullan\u0131l\u0131r.<\/li>\n<\/ul>\n\n\n\n<p>Mod, \u00f6zellikle nominal (isimsel) ve ordinal (s\u0131ralamal\u0131) verilerde <strong>tek anlaml\u0131 merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fcd\u00fcr<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-modun-ortalamaya-gore-avantaji\"><strong>3. Modun Ortalamaya G\u00f6re Avantaj\u0131<\/strong><\/h2>\n\n\n\n<p>Baz\u0131 veri t\u00fcrlerinde <strong>ortalama kullan\u0131lamaz<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>En \u00e7ok tercih edilen otomobil markas\u0131?<\/li>\n\n\n\n<li>En \u00e7ok sat\u0131n al\u0131nan telefon modeli?<\/li>\n\n\n\n<li>En \u00e7ok kullan\u0131lan bilgisayar i\u015fletim sistemi?<\/li>\n\n\n\n<li>En pop\u00fcler dondurma \u00e7e\u015fidi?<\/li>\n<\/ul>\n\n\n\n<p>Bu sorularda ortalamay\u0131 hesaplamak <strong>anlams\u0131zd\u0131r<\/strong>, \u00e7\u00fcnk\u00fc marka, model veya tat say\u0131sal de\u011fildir.<\/p>\n\n\n\n<p>\u0130\u015fte burada <strong>mod<\/strong> devreye girer.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-veri-turlerine-gore-mod-kullanimi\"><strong>4. Veri T\u00fcrlerine G\u00f6re Mod Kullan\u0131m\u0131<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Veri T\u00fcr\u00fc<\/th><th>Mod Kullan\u0131labilir mi?<\/th><th>\u00d6rnek<\/th><\/tr><\/thead><tbody><tr><td>Nominal (isimsel)<\/td><td>Evet<\/td><td>Renk, marka<\/td><\/tr><tr><td>Ordinal (s\u0131ral\u0131)<\/td><td>Evet<\/td><td>Memnuniyet derecesi<\/td><\/tr><tr><td>S\u00fcrekli say\u0131sal<\/td><td>Evet<\/td><td>Boy-kilo tekrarlar\u0131<\/td><\/tr><tr><td>Ayr\u0131k say\u0131sal<\/td><td>Evet<\/td><td>Sat\u0131\u015f adetleri<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Mod, <strong>t\u00fcm veri t\u00fcrlerinde uygulanabilen tek merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fcd\u00fcr<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-mod-ornekleri\"><strong>5. Mod \u00d6rnekleri<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"ornek-1-renk-tercihleri\"><strong>\u00d6rnek 1: Renk Tercihleri<\/strong><\/h3>\n\n\n\n<p>Bir ma\u011fazada 50 ki\u015finin en sevdi\u011fi renkler soruluyor:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>K\u0131rm\u0131z\u0131: 18<\/li>\n\n\n\n<li>Mavi: 12<\/li>\n\n\n\n<li>Siyah: 14<\/li>\n\n\n\n<li>Sar\u0131: 6<\/li>\n<\/ul>\n\n\n\n<p><strong>Mod = K\u0131rm\u0131z\u0131<\/strong><br>\u00c7\u00fcnk\u00fc en \u00e7ok tekrar eden renk 18 frekansla k\u0131rm\u0131z\u0131d\u0131r.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"ornek-2-sinav-notlari\"><strong>\u00d6rnek 2: S\u0131nav Notlar\u0131<\/strong><\/h3>\n\n\n\n<p>Notlar:<br>70, 80, 90, 70, 60, 75, 70, 85, 90, 70<\/p>\n\n\n\n<p>En \u00e7ok tekrar eden de\u011fer <strong>70<\/strong> oldu\u011fundan:<\/p>\n\n\n\n<p><strong>Mod = 70<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"ornek-3-satilan-telefon-modelleri\"><strong>\u00d6rnek 3: Sat\u0131lan Telefon Modelleri<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>iPhone 14: 120 adet<\/li>\n\n\n\n<li>Samsung S22: 140 adet<\/li>\n\n\n\n<li>Xiaomi 12: 110 adet<\/li>\n\n\n\n<li>iPhone 13: 140 adet<\/li>\n<\/ul>\n\n\n\n<p>Burada iki de\u011fer e\u015fit frekansa sahip:<\/p>\n\n\n\n<p>Mod = <strong>Samsung S22 ve iPhone 13<\/strong><br>Bu duruma <strong>\u00e7ift modlu (bimodal)<\/strong> veri denir.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-modun-turleri\"><strong>6. Modun T\u00fcrleri<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1-tek-modlu-unimodal\"><strong>1. Tek modlu (Unimodal)<\/strong><\/h3>\n\n\n\n<p>Veri sadece bir mod i\u00e7erir.<\/p>\n\n\n\n<p>\u00d6rnek: 3, 5, 5, 7, 9<br>Mod = 5<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"2-cift-modlu-bimodal\"><strong>2. \u00c7ift modlu (Bimodal)<\/strong><\/h3>\n\n\n\n<p>\u0130ki de\u011fer ayn\u0131 en y\u00fcksek frekansa sahiptir.<\/p>\n\n\n\n<p>\u00d6rnek: 2, 2, 5, 5, 7<br>Mod = 2 ve 5<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3-cok-modlu-multimodal\"><strong>3. \u00c7ok modlu (Multimodal)<\/strong><\/h3>\n\n\n\n<p>\u0130kiden fazla mod i\u00e7erir.<\/p>\n\n\n\n<p>\u00d6rnek: 3, 3, 6, 6, 9, 9<br>Mod = 3, 6, 9<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"4-modesiz-veri-no-mode\"><strong>4. Modesiz veri (No Mode)<\/strong><\/h3>\n\n\n\n<p>T\u00fcm de\u011ferler 1 kez g\u00f6r\u00fcl\u00fcr.<\/p>\n\n\n\n<p>\u00d6rnek: 1, 2, 3, 4, 5<br>Mod yoktur.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-gruplandirilmis-verilerde-mod-hesaplama\"><strong>7. Grupland\u0131r\u0131lm\u0131\u015f Verilerde Mod Hesaplama<\/strong><\/h2>\n\n\n\n<p>Grupland\u0131r\u0131lm\u0131\u015f veride mod, a\u015fa\u011f\u0131daki form\u00fclle hesaplan\u0131r: <\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"532\" height=\"136\" src=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-2.png\" alt=\"\" class=\"wp-image-1396\" style=\"width:282px;height:auto\" srcset=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-2.png 532w, https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-2-300x77.png 300w\" sizes=\"auto, (max-width: 532px) 100vw, 532px\" \/><\/figure>\n\n\n\n<p>Burada:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>L:<\/strong> Mod s\u0131n\u0131f\u0131n\u0131n alt s\u0131n\u0131r\u0131<\/li>\n\n\n\n<li><strong>f\u2081:<\/strong> Mod s\u0131n\u0131f\u0131n\u0131n frekans\u0131<\/li>\n\n\n\n<li><strong>f\u2080:<\/strong> Bir \u00f6nceki s\u0131n\u0131f\u0131n frekans\u0131<\/li>\n\n\n\n<li><strong>f\u2082:<\/strong> Bir sonraki s\u0131n\u0131f\u0131n frekans\u0131<\/li>\n\n\n\n<li><strong>h:<\/strong> S\u0131n\u0131f geni\u015fli\u011fi<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"ornek-gruplandirilmis-veri\"><strong>\u00d6rnek (Grupland\u0131r\u0131lm\u0131\u015f Veri)<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>S\u0131n\u0131f Aral\u0131\u011f\u0131<\/th><th>Frekans<\/th><\/tr><\/thead><tbody><tr><td>10\u201320<\/td><td>5<\/td><\/tr><tr><td>20\u201330<\/td><td>12<\/td><\/tr><tr><td>30\u201340<\/td><td>20<\/td><\/tr><tr><td>40\u201350<\/td><td>15<\/td><\/tr><tr><td>50\u201360<\/td><td>8<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Mod s\u0131n\u0131f\u0131 = <strong>30\u201340<\/strong> (en y\u00fcksek frekans: 20)<\/p>\n\n\n\n<p>Uygulama:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>L = 30<\/li>\n\n\n\n<li>f\u2081 = 20<\/li>\n\n\n\n<li>f\u2080 = 12<\/li>\n\n\n\n<li>f\u2082 = 15<\/li>\n\n\n\n<li>h = 10<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"573\" height=\"311\" src=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-3.png\" alt=\"\" class=\"wp-image-1397\" style=\"width:339px;height:auto\" srcset=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-3.png 573w, https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-3-300x163.png 300w\" sizes=\"auto, (max-width: 573px) 100vw, 573px\" \/><\/figure>\n\n\n\n<p><strong>Mod = 36.15<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-mod-neden-onemlidir\"><strong>8. Mod Neden \u00d6nemlidir?<\/strong><\/h2>\n\n\n\n<p>Mod:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>En \u00e7ok tercih edilen kategoriyi g\u00f6sterir<\/li>\n\n\n\n<li>Veri setinin tepe noktas\u0131n\u0131 belirler<\/li>\n\n\n\n<li>Ayk\u0131r\u0131 de\u011ferlerden etkilenmez<\/li>\n\n\n\n<li>Nominal veriyi \u00f6zetleyebilen tek istatistik \u00f6l\u00e7\u00fcd\u00fcr<\/li>\n\n\n\n<li>Da\u011f\u0131l\u0131m\u0131n karakterini anlamay\u0131 kolayla\u015ft\u0131r\u0131r<\/li>\n<\/ul>\n\n\n\n<p>\u00d6zellikle <strong>pazarlama, sosyoloji, e\u011fitim, sa\u011fl\u0131k, \u00fcretim ve veri bilimi<\/strong> gibi alanlarda yayg\u0131n olarak kullan\u0131l\u0131r.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-gercek-hayattan-mod-ornekleri\"><strong>9. Ger\u00e7ek Hayattan Mod \u00d6rnekleri<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1-pazarlama\"><strong>1. Pazarlama<\/strong><\/h3>\n\n\n\n<p>En \u00e7ok sat\u0131n al\u0131nan \u00fcr\u00fcn modeli = Mod<br>Stok planlamas\u0131 bu bilgiye g\u00f6re yap\u0131l\u0131r.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"2-egitim\"><strong>2. E\u011fitim<\/strong><\/h3>\n\n\n\n<p>S\u0131n\u0131fta en \u00e7ok tekrar eden s\u0131nav notu = Mod<br>Bu bilgi \u00f6\u011fretmene da\u011f\u0131l\u0131m\u0131n merkezi hakk\u0131nda fikir verir.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3-saglik\"><strong>3. Sa\u011fl\u0131k<\/strong><\/h3>\n\n\n\n<p>Bir b\u00f6lgede en \u00e7ok g\u00f6r\u00fclen hastal\u0131k t\u00fcr\u00fc = Mod<br>Halk sa\u011fl\u0131\u011f\u0131 planlamas\u0131 bu bilgiye g\u00f6re yap\u0131l\u0131r.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"4-ekonomi\"><strong>4. Ekonomi<\/strong><\/h3>\n\n\n\n<p>En yayg\u0131n gelir aral\u0131\u011f\u0131 = Mod<br>Gelir da\u011f\u0131l\u0131m\u0131 analizi i\u00e7in \u00f6nemlidir.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-dunyada-en-cok-sorulan-sorular-ve-cevaplari\"><strong>10. D\u00fcnyada En \u00c7ok Sorulan Sorular ve Cevaplar\u0131<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1-mod-ile-ortalama-arasindaki-fark-nedir\"><strong>1. Mod ile ortalama aras\u0131ndaki fark nedir?<\/strong><\/h3>\n\n\n\n<p><strong>Ortalama<\/strong>, t\u00fcm de\u011ferlerin toplam\u0131n\u0131n say\u0131ya b\u00f6l\u00fcnmesiyle bulunur.<br><strong>Mod<\/strong>, en \u00e7ok tekrar eden de\u011ferdir.<br>Mod, ayk\u0131r\u0131 de\u011ferlerden etkilenmez.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"2-mod-her-veri-setinde-olur-mu\"><strong>2. Mod her veri setinde olur mu?<\/strong><\/h3>\n\n\n\n<p>Hay\u0131r. T\u00fcm de\u011ferler tekil ise mod yoktur.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3-bir-veri-setinde-birden-fazla-mod-olabilir-mi\"><strong>3. Bir veri setinde birden fazla mod olabilir mi?<\/strong><\/h3>\n\n\n\n<p>Evet. Buna bimodal veya multimodal denir.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"4-mod-hangi-veri-turlerinde-kullanilir\"><strong>4. Mod hangi veri t\u00fcrlerinde kullan\u0131l\u0131r?<\/strong><\/h3>\n\n\n\n<p>Nominal, ordinal, say\u0131sal t\u00fcm veri t\u00fcrlerinde kullan\u0131labilir.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"5-en-cok-kullanilan-merkezi-egilim-olcusu-hangisidir\"><strong>5. En \u00e7ok kullan\u0131lan merkezi e\u011filim \u00f6l\u00e7\u00fcs\u00fc hangisidir?<\/strong><\/h3>\n\n\n\n<p>Nominal verilerde <strong>mod<\/strong>, say\u0131sal verilerde <strong>ortalama<\/strong> en \u00e7ok kullan\u0131l\u0131r.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"6-mod-neden-guvenilir-bir-olcudur\"><strong>6. Mod neden g\u00fcvenilir bir \u00f6l\u00e7\u00fcd\u00fcr?<\/strong><\/h3>\n\n\n\n<p>\u00c7\u00fcnk\u00fc veri setindeki en s\u0131k g\u00f6r\u00fclen de\u011feri temsil eder ve u\u00e7 de\u011ferlerden etkilenmez.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"7-modun-zayif-yonu-nedir\"><strong>7. Modun zay\u0131f y\u00f6n\u00fc nedir?<\/strong><\/h3>\n\n\n\n<p>Bazen \u00e7oklu mod olu\u015fabilir ve merkezi e\u011filim kar\u0131\u015f\u0131k hale gelir.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"8-surekli-verilerde-mod-nasil-hesaplanir\"><strong>8. S\u00fcrekli verilerde mod nas\u0131l hesaplan\u0131r?<\/strong><\/h3>\n\n\n\n<p>Grupland\u0131r\u0131lm\u0131\u015f veri tablosu ve mod form\u00fcl\u00fc ile.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"9-mod-histogram-uzerinde-nasil-gorunur\"><strong>9. Mod histogram \u00fczerinde nas\u0131l g\u00f6r\u00fcn\u00fcr?<\/strong><\/h3>\n\n\n\n<p>Tepe noktas\u0131 (en y\u00fcksek s\u00fctun) modu temsil eder.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"10-mod-medyan-ve-ortalama-birlikte-nasil-yorumlanir\"><strong>10. Mod, medyan ve ortalama birlikte nas\u0131l yorumlan\u0131r?<\/strong><\/h3>\n\n\n\n<p>Bu \u00fc\u00e7\u00fc birlikte da\u011f\u0131l\u0131m\u0131n \u00e7arp\u0131kl\u0131\u011f\u0131n\u0131 ve yap\u0131s\u0131n\u0131 anlamaya yarar.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-sonuc-mod-istatistigin-en-pratik-ve-en-guclu-araclarindan-biri\"><strong>11. Sonu\u00e7: Mod, \u0130statisti\u011fin En Pratik ve En G\u00fc\u00e7l\u00fc Ara\u00e7lar\u0131ndan Biri<\/strong><\/h2>\n\n\n\n<p>Mod kavram\u0131:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Kategorik verilerde,<\/li>\n\n\n\n<li>B\u00fcy\u00fck veri setlerinin davran\u0131\u015f\u0131n\u0131 anlamada,<\/li>\n\n\n\n<li>Da\u011f\u0131l\u0131m\u0131n tepe noktas\u0131n\u0131 bulmada,<\/li>\n\n\n\n<li>Ayk\u0131r\u0131 de\u011ferlerden etkilenmeyen analizlerde<br>son derece g\u00fc\u00e7l\u00fc bir \u00f6l\u00e7\u00fcd\u00fcr.<\/li>\n<\/ul>\n\n\n\n<p>Ara\u015ft\u0131rmac\u0131lar, veri bilimciler, e\u011fitimciler, ekonomistler ve pazarlama uzmanlar\u0131 i\u00e7in mod, <strong>veri analizinin vazge\u00e7ilmez bir par\u00e7as\u0131d\u0131r<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>E\u011fer R Program\u0131n\u0131 indirmek isterseniz&nbsp;<a href=\"https:\/\/www.r-project.org\/\" target=\"_blank\" rel=\"noreferrer noopener\">buraya t\u0131klay\u0131n\u0131z : R: The R Project for Statistical Computing<\/a>&nbsp;\u2013&nbsp;<a href=\"https:\/\/www.r-project.org\/\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/www.r-project.org\/<\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>E\u011fer R Studio Program\u0131n\u0131 indirmek isterseniz&nbsp;<a href=\"https:\/\/posit.co\/download\/rstudio-desktop\/\" target=\"_blank\" rel=\"noreferrer noopener\">buraya t\u0131klay\u0131n\u0131z:<\/a>&nbsp;<a href=\"https:\/\/posit.co\/download\/rstudio-desktop\/\" target=\"_blank\" rel=\"noreferrer noopener\">RStudio Desktop \u2013 Posit<\/a>&nbsp;\u2013&nbsp;<a href=\"https:\/\/posit.co\/download\/rstudio-desktop\/\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/posit.co\/download\/rstudio-desktop\/<\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>E\u011fitimlerimize kat\u0131larak bu ve di\u011fer projeleri uygulamal\u0131 olarak \u00f6\u011frenebilirsiniz. E\u011fitimlerimize ve di\u011fer bilgilere&nbsp;<a href=\"https:\/\/www.facadium.com.tr\/\">buradaki linkten<\/a>&nbsp;(<a href=\"https:\/\/www.facadium.com.tr\/\">https:\/\/www.facadium.com.tr\/<\/a>) ula\u015fabilirsiniz. Detayl\u0131 bilgi i\u00e7in l\u00fctfen bizlere 0553 377 29 28 numaral\u0131 telefondan ya da info@facadium.com.tr mail adresinden ula\u015f\u0131n\u0131z.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Giri\u015f: \u0130statistikte Mod Nedir? Mod Neden \u0130statisti\u011fin En \u00d6nemli Kavramlar\u0131ndan Biri? \u0130statistikte Mod Nedir? \u0130statistik bilimi, verilerin \u00f6zetlenmesi ve yorumlanmas\u0131 \u00fczerine kuruludur. Bu nedenle verileri [&#8230;]<\/p>\n","protected":false},"author":3,"featured_media":1393,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[163],"tags":[208,203,206,188,195,196,197,204,199,205,194,201,200,207,198,202],"class_list":["post-1392","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-istatistik","tag-data-science-mode-statistic","tag-gruplandirilmis-veride-mod","tag-histogram-mod-yorumu","tag-istatistik","tag-istatistik-egitimi","tag-istatistik-kurs","tag-istatistik-ozel-ders","tag-istatistik-temel-kavramlar","tag-istatistikte-mod-nedir","tag-merkezi-egilim-olculeri","tag-mod","tag-mod-nasil-hesaplanir","tag-mod-nedir","tag-orneklerle-mod-hesaplama","tag-r-ile-istatistik","tag-unimodal-bimodal-multimodal"],"_links":{"self":[{"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/posts\/1392","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/comments?post=1392"}],"version-history":[{"count":4,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/posts\/1392\/revisions"}],"predecessor-version":[{"id":1402,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/posts\/1392\/revisions\/1402"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/media\/1393"}],"wp:attachment":[{"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/media?parent=1392"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/categories?post=1392"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/tags?post=1392"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}