{"id":25580,"date":"2025-07-09T00:15:22","date_gmt":"2025-07-08T21:15:22","guid":{"rendered":"https:\/\/fatihsoysal.com\/blog\/postgresqlde-standart-sapma-nasil-hesaplanir\/"},"modified":"2025-07-09T00:15:22","modified_gmt":"2025-07-08T21:15:22","slug":"postgresqlde-standart-sapma-nasil-hesaplanir","status":"publish","type":"post","link":"https:\/\/fatihsoysal.com\/blog\/postgresqlde-standart-sapma-nasil-hesaplanir\/","title":{"rendered":"PostgreSQL&#8217;de Standart Sapma Nas\u0131l Hesaplan\u0131r"},"content":{"rendered":"<p># PostgreSQL&#8217;de Standart Sapma Hesaplama: Ad\u0131m Ad\u0131m K\u0131lavuz<\/p>\n<p>Veri analizi yapan herkesin mutlaka kar\u015f\u0131la\u015ft\u0131\u011f\u0131 bir istatistiksel \u00f6l\u00e7\u00fct vard\u0131r: Standart sapma.  Veri setinin ortalamadan ne kadar da\u011f\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6steren standart sapma, verilerin yay\u0131l\u0131m\u0131n\u0131 anlamak ve yorumlamak i\u00e7in kritik \u00f6neme sahiptir. PostgreSQL gibi g\u00fc\u00e7l\u00fc bir veritaban\u0131 y\u00f6netim sisteminde standart sapmay\u0131 hesaplamak, verilerinizden daha fazla bilgi \u00e7\u0131karman\u0131za olanak tan\u0131r. Bu makalede, PostgreSQL&#8217;de standart sapma hesaplamay\u0131 yeni ba\u015flayanlardan ileri seviye kullan\u0131c\u0131lara kadar ad\u0131m ad\u0131m a\u00e7\u0131klayaca\u011f\u0131z, ger\u00e7ek d\u00fcnya \u00f6rnekleri ve performans optimizasyon teknikleri sunaca\u011f\u0131z.<\/p>\n<p><strong>\u00d6\u011frenme Yol Haritas\u0131:<\/strong><\/p>\n<p>* <strong>Yeni Ba\u015flayan:<\/strong> Temel kavramlar, basit kod \u00f6rnekleri ve ad\u0131m ad\u0131m a\u00e7\u0131klamalar.<br \/>\n* <strong>Orta Seviye:<\/strong> Ger\u00e7ek hayat \u00f6rnekleri, performans optimizasyonu ipu\u00e7lar\u0131 ve farkl\u0131 standart sapma fonksiyonlar\u0131n\u0131n kar\u015f\u0131la\u015ft\u0131rmas\u0131.<br \/>\n* <strong>\u0130leri Seviye:<\/strong> Performans analizi, edge case&#8217;ler ve karma\u015f\u0131k sorgularda standart sapma hesaplama.<\/p>\n<p><strong>PostgreSQL&#8217;de Standart Sapma: Temel Kavramlar<\/strong><\/p>\n<p>Standart sapma, verilerin ortalamadan ne kadar uzakla\u015ft\u0131\u011f\u0131n\u0131 \u00f6l\u00e7en bir istatistiksel de\u011ferdir. D\u00fc\u015f\u00fck standart sapma, verilerin ortalamaya yak\u0131n k\u00fcmelendi\u011fini, y\u00fcksek standart sapma ise verilerin ortalamadan daha fazla da\u011f\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6sterir.  \u00d6rne\u011fin, bir s\u0131n\u0131ftaki \u00f6\u011frencilerin s\u0131nav notlar\u0131n\u0131n standart sapmas\u0131 d\u00fc\u015f\u00fckse, notlar\u0131n ortalamaya yak\u0131n oldu\u011fu ve \u00f6\u011frencilerin performanslar\u0131n\u0131n birbirine benzer oldu\u011fu anlam\u0131na gelir. Y\u00fcksek standart sapma ise, \u00f6\u011frencilerin performanslar\u0131n\u0131n aras\u0131nda b\u00fcy\u00fck farkl\u0131l\u0131klar oldu\u011funu g\u00f6sterir.<\/p>\n<p>PostgreSQL, standart sapma hesaplamas\u0131 i\u00e7in <code class=\"language-\">stddev<\/code> ve <code class=\"language-\">stddev_pop<\/code> fonksiyonlar\u0131n\u0131 sa\u011flar.  <code class=\"language-\">stddev<\/code>, \u00f6rneklem standart sapmas\u0131n\u0131 (sample standard deviation) hesaplar ve genellikle b\u00fcy\u00fck pop\u00fclasyonlardan al\u0131nan \u00f6rneklem verilerinde kullan\u0131l\u0131r. <code class=\"language-\">stddev_pop<\/code>, pop\u00fclasyon standart sapmas\u0131n\u0131 (population standard deviation) hesaplar ve t\u00fcm pop\u00fclasyon verileri \u00fczerinde kullan\u0131l\u0131r.  \u0130ki fonksiyon aras\u0131ndaki temel fark, paydada kullan\u0131lan de\u011ferdir. <code class=\"language-\">stddev<\/code>, paydada (n-1) kullan\u0131rken, <code class=\"language-\">stddev_pop<\/code>, paydada n (verilerin say\u0131s\u0131) kullan\u0131r.<\/p>\n<p><strong>PostgreSQL&#8217;de Standart Sapma Hesaplama: Ad\u0131m Ad\u0131m Uygulamal\u0131 K\u0131lavuz<\/strong><\/p>\n<p><strong>Yeni Ba\u015flayanlar i\u00e7in:<\/strong><\/p>\n<p>\u00d6rnek bir tablo olu\u015ftural\u0131m ve basit bir standart sapma hesaplamas\u0131 yapal\u0131m:<\/p>\n<pre class=\"language-sql\"><code>CREATE TABLE ogrenci_notlari (\n    ogrenci_id INT,\n    not INT\n);\n\nINSERT INTO ogrenci_notlari (ogrenci_id, not) VALUES\n(1, 80), (2, 75), (3, 90), (4, 85), (5, 70);\n\nSELECT stddev(not) AS standart_sapma FROM ogrenci_notlari;<\/code><\/pre>\n<p>Bu sorgu, <code class=\"language-\">ogrenci_notlari<\/code> tablosundaki <code class=\"language-\">not<\/code> s\u00fctunundaki verilerin \u00f6rneklem standart sapmas\u0131n\u0131 hesaplar ve sonucu <code class=\"language-\">standart_sapma<\/code> olarak d\u00f6nd\u00fcr\u00fcr.<\/p>\n<p><strong>Ger\u00e7ek Hayatta Standart Sapma Kullan\u0131m\u0131: Vaka Analizi<\/strong><\/p>\n<p>Bir e-ticaret \u015firketinin g\u00fcnl\u00fck sat\u0131\u015flar\u0131n\u0131 ele alal\u0131m. \u015eirket, g\u00fcnl\u00fck sat\u0131\u015flar\u0131n\u0131n standart sapmas\u0131n\u0131 hesaplayarak sat\u0131\u015flardaki dalgalanmalar\u0131 analiz edebilir. Y\u00fcksek standart sapma, sat\u0131\u015flarda b\u00fcy\u00fck dalgalanmalar oldu\u011funu, d\u00fc\u015f\u00fck standart sapma ise sat\u0131\u015flar\u0131n daha istikrarl\u0131 oldu\u011funu g\u00f6sterir. Bu bilgi, \u015firketin stok y\u00f6netimi, pazarlama stratejileri ve fiyatland\u0131rma politikalar\u0131 gibi kararlar\u0131n\u0131 optimize etmesine yard\u0131mc\u0131 olabilir.<\/p>\n<pre class=\"language-sql\"><code>-- G\u00fcnl\u00fck sat\u0131\u015flar tablosunda standart sapma hesaplama\nSELECT stddev(satis_miktari) AS standart_sapma_satislar\nFROM gunluk_satislar;<\/code><\/pre>\n<p>Bu sorgu, <code class=\"language-\">gunluk_satislar<\/code> tablosundaki <code class=\"language-\">satis_miktari<\/code> s\u00fctunundaki verilerin standart sapmas\u0131n\u0131 hesaplar.  Bu bilgi, sat\u0131\u015flar\u0131n ne kadar de\u011fi\u015fken oldu\u011funu anlamak i\u00e7in kullan\u0131labilir.<\/p>\n<p><strong>PostgreSQL&#8217;de Standart Sapma Hesaplama: Orta Seviye Teknikler<\/strong><\/p>\n<p><strong>Karma\u015f\u0131k Sorgularda Standart Sapma:<\/strong><\/p>\n<p>Standart sapma hesaplamas\u0131n\u0131, <code class=\"language-\">WHERE<\/code> veya <code class=\"language-\">GROUP BY<\/code> gibi di\u011fer SQL klavuzlar\u0131yla birle\u015ftirebiliriz. \u00d6rne\u011fin, farkl\u0131 \u015fehirlerdeki m\u00fc\u015fterilerin ortalama sipari\u015f tutarlar\u0131n\u0131n standart sapmas\u0131n\u0131 hesaplayabiliriz:<\/p>\n<pre class=\"language-sql\"><code>SELECT sehir, stddev(siparis_tutari) AS standart_sapma_siparisler\nFROM musteriler\nGROUP BY sehir;<\/code><\/pre>\n<p>Bu sorgu, her \u015fehir i\u00e7in sipari\u015f tutarlar\u0131n\u0131n standart sapmas\u0131n\u0131 hesaplar.  Bu, farkl\u0131 \u015fehirlerdeki m\u00fc\u015fteri davran\u0131\u015flar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131labilir.<\/p>\n<p><strong>Performans Optimizasyonu \u0130pu\u00e7lar\u0131<\/strong><\/p>\n<p>B\u00fcy\u00fck veri setlerinde standart sapma hesaplamas\u0131 performans\u0131 etkileyebilir.  \u0130\u015fte baz\u0131 optimizasyon ipu\u00e7lar\u0131:<\/p>\n<p>* <strong>\u0130ndeksler:<\/strong>  <code class=\"language-\">stddev<\/code> fonksiyonunun kullan\u0131ld\u0131\u011f\u0131 s\u00fctunlara indeks eklemek sorgu performans\u0131n\u0131 art\u0131rabilir.<br \/>\n* <strong>Par\u00e7alama (Partitioning):<\/strong> B\u00fcy\u00fck tablolar\u0131 par\u00e7alara ay\u0131rmak, standart sapma hesaplamas\u0131n\u0131 daha h\u0131zl\u0131 hale getirebilir.<br \/>\n* <strong>Materyalize G\u00f6r\u00fcn\u00fcmler (Materialized Views):<\/strong> S\u0131k kullan\u0131lan standart sapma hesaplamalar\u0131n\u0131 materyalize g\u00f6r\u00fcn\u00fcmler olarak saklamak, performans\u0131 iyile\u015ftirebilir.<br \/>\n* <strong>Fonksiyon \u0130ndeksleri:<\/strong>  Fonksiyon indeksleri, standart sapma hesaplamas\u0131n\u0131n daha h\u0131zl\u0131 yap\u0131lmas\u0131na yard\u0131mc\u0131 olabilir. Ancak bu, indeks boyutunu art\u0131rabilir.<\/p>\n<p>Daha detayl\u0131 performans optimizasyonu i\u00e7in [fatihsoysal.com](https:\/\/fatihsoysal.com) adresini ziyaret edebilirsiniz. (Not: Bu bir \u00f6rnek ba\u011flant\u0131d\u0131r, ger\u00e7ek bir ba\u011flant\u0131 eklenmelidir.)<\/p>\n<p><strong>PostgreSQL&#8217;de Standart Sapma Hesaplama: \u0130leri Seviye Teknikler<\/strong><\/p>\n<p><strong>Edge Case&#8217;ler ve \u00d6zel Durumlar:<\/strong><\/p>\n<p>* <strong>Bo\u015f Veri Setleri:<\/strong>  Bo\u015f bir veri setinde <code class=\"language-\">stddev<\/code> fonksiyonu <code class=\"language-\">NULL<\/code> d\u00f6nd\u00fcr\u00fcr.  Bu durumu <code class=\"language-\">COALESCE<\/code> fonksiyonu ile ele alabiliriz: <code class=\"language-\">COALESCE(stddev(not), 0)<\/code>.<br \/>\n* <strong>Tek Bir De\u011fer:<\/strong>  Veri setinde sadece bir de\u011fer varsa, <code class=\"language-\">stddev<\/code> fonksiyonu <code class=\"language-\">0<\/code> d\u00f6nd\u00fcr\u00fcr.<br \/>\n* <strong>NULL De\u011ferleri:<\/strong> <code class=\"language-\">stddev<\/code> fonksiyonu, <code class=\"language-\">NULL<\/code> de\u011ferleri dikkate almaz.  <code class=\"language-\">NULL<\/code> de\u011ferleri i\u00e7eren s\u00fctunlarda standart sapma hesaplamadan \u00f6nce <code class=\"language-\">NULL<\/code> de\u011ferlerini i\u015flemek gerekebilir.<\/p>\n<p><strong>Sonu\u00e7<\/strong><\/p>\n<p>PostgreSQL&#8217;de standart sapma hesaplama, verilerinizden daha fazla bilgi \u00e7\u0131karman\u0131za olanak tan\u0131yan g\u00fc\u00e7l\u00fc bir ara\u00e7t\u0131r.  Bu makalede, standart sapma hesaplamas\u0131n\u0131n temellerinden ileri seviye tekniklere kadar geni\u015f bir yelpazede bilgi verdik.  Uygulamada kar\u015f\u0131la\u015fabilece\u011finiz farkl\u0131 senaryolar i\u00e7in \u00f6rnekler ve performans optimizasyonu ipu\u00e7lar\u0131 sunduk. Unutmay\u0131n ki, do\u011fru standart sapma fonksiyonunun se\u00e7imi ve performans optimizasyonu, b\u00fcy\u00fck veri setlerinde do\u011fru ve verimli sonu\u00e7lar elde etmek i\u00e7in \u00e7ok \u00f6nemlidir.<\/p>\n<p><strong>S\u0131k\u00e7a Sorulan Sorular:<\/strong><\/p>\n<p>1. <strong><code class=\"language-\">stddev<\/code> ve <code class=\"language-\">stddev_pop<\/code> aras\u0131ndaki fark nedir?<\/strong>  <code class=\"language-\">stddev<\/code>, \u00f6rneklem standart sapmas\u0131n\u0131 hesaplar (payda n-1), <code class=\"language-\">stddev_pop<\/code> ise pop\u00fclasyon standart sapmas\u0131n\u0131 hesaplar (payda n).<br \/>\n2. <strong>Standart sapma hesaplamas\u0131 i\u00e7in hangi indeks t\u00fcr\u00fc en uygunudur?<\/strong>  B-tree indeksleri genellikle standart sapma hesaplamalar\u0131nda iyi performans g\u00f6sterir.<br \/>\n3. <strong>B\u00fcy\u00fck veri setlerinde standart sapma hesaplamas\u0131n\u0131n performans\u0131n\u0131 nas\u0131l art\u0131rabilirim?<\/strong>  \u0130ndeksler, par\u00e7alama, materyalize g\u00f6r\u00fcn\u00fcmler ve fonksiyon indeksleri kullanarak performans\u0131 art\u0131rabilirsiniz.<br \/>\n4. <strong>Bo\u015f bir veri setinde <code class=\"language-\">stddev<\/code> fonksiyonu ne d\u00f6nd\u00fcr\u00fcr?<\/strong> <code class=\"language-\">NULL<\/code> d\u00f6nd\u00fcr\u00fcr.<br \/>\n5. <strong><code class=\"language-\">stddev<\/code> fonksiyonu <code class=\"language-\">NULL<\/code> de\u011ferlerini nas\u0131l ele al\u0131r?<\/strong> <code class=\"language-\">NULL<\/code> de\u011ferlerini dikkate almaz.<\/p>\n<p>Yazar: Fatih Soysal<\/p>\n","protected":false},"excerpt":{"rendered":"# PostgreSQL&#8217;de Standart Sapma Hesaplama: Ad\u0131m Ad\u0131m K\u0131lavuz Veri analizi yapan herkesin mutlaka kar\u015f\u0131la\u015ft\u0131\u011f\u0131 bir istatistiksel \u00f6l\u00e7\u00fct vard\u0131r:&hellip;","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"csco_page_header_type":"","csco_page_load_nextpost":"","csco_page_subscribe_form":"","csco_page_contact_form":"","footnotes":""},"categories":[644],"tags":[],"class_list":{"0":"post-25580","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-postgresql","7":"cs-entry","8":"cs-video-wrap"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v20.5 (Yoast SEO v25.3.1) - 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