{"id":1413,"date":"2025-11-10T01:04:55","date_gmt":"2025-11-09T22:04:55","guid":{"rendered":"https:\/\/www.facadium.com.tr\/blog\/?p=1413"},"modified":"2025-11-10T01:04:57","modified_gmt":"2025-11-09T22:04:57","slug":"standart-sapma-nedir","status":"publish","type":"post","link":"https:\/\/www.facadium.com.tr\/blog\/standart-sapma-nedir\/","title":{"rendered":"Standart Sapma 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-standart-sapma-nedir-standart-sapma-neden-istatistikte-bu-kadar-kritik\">Giri\u015f: Standart Sapma Nedir? Standart Sapma Neden \u0130statistikte Bu Kadar Kritik?<\/a><\/li><li class=\"\"><a href=\"#\u2705-1-standart-sapma-nedir\">1. Standart Sapma Nedir?<\/a><ul><li class=\"\"><a href=\"#\ud83d\udccc-tanim\">Tan\u0131m:<\/a><\/li><\/ul><\/li><li class=\"\"><a href=\"#\u2705-2-standart-sapma-ne-ise-yarar\">2. Standart Sapma Ne \u0130\u015fe Yarar?<\/a><\/li><li class=\"\"><a href=\"#\u2705-3-standart-sapmanin-yorumlanmasi\">3. Standart Sapman\u0131n Yorumlanmas\u0131<\/a><ul><li class=\"\"><a href=\"#\u2705-kucuk-standart-sapma\">K\u00fc\u00e7\u00fck Standart Sapma<\/a><\/li><li class=\"\"><a href=\"#\u2705-buyuk-standart-sapma\">B\u00fcy\u00fck Standart Sapma<\/a><\/li><\/ul><\/li><li class=\"\"><a href=\"#\u2705-4-standart-sapma-nasil-hesaplanir\">4. Standart Sapma Nas\u0131l Hesaplan\u0131r?<\/a><ul><li class=\"\"><a href=\"#\ud83d\udccc-formul-orneklem-icin\">Form\u00fcl (\u00d6rneklem i\u00e7in):<\/a><\/li><li class=\"\"><a href=\"#\ud83d\udccc-evren-icin\">Evren i\u00e7in:<\/a><\/li><\/ul><\/li><li class=\"\"><a href=\"#\u2705-5-sayisal-ornek-adim-adim-standart-sapma-hesaplama\">5. Say\u0131sal \u00d6rnek: Ad\u0131m Ad\u0131m Standart Sapma Hesaplama<\/a><ul><li class=\"\"><a href=\"#\u2705-adim-1-ortalama-hesapla\">Ad\u0131m 1: Ortalama Hesapla<\/a><\/li><li class=\"\"><a href=\"#\u2705-adim-2-her-degerin-ortalamadan-sapmasi\">Ad\u0131m 2: Her De\u011ferin Ortalamadan Sapmas\u0131<\/a><\/li><li class=\"\"><a href=\"#\u2705-adim-3-karelerin-toplami\">Ad\u0131m 3: Karelerin Toplam\u0131<\/a><\/li><li class=\"\"><a href=\"#\u2705-adim-4-varyans\">Ad\u0131m 4: Varyans<\/a><\/li><li class=\"\"><a href=\"#\u2705-adim-5-standart-sapma\">Ad\u0131m 5: Standart Sapma<\/a><\/li><\/ul><\/li><li class=\"\"><a href=\"#\u2705-6-gercek-hayattan-standart-sapma-ornekleri\">6. Ger\u00e7ek Hayattan Standart Sapma \u00d6rnekleri<\/a><ul><li class=\"\"><a href=\"#\ud83c\udfaf-1-egitim\">1. E\u011fitim<\/a><\/li><li class=\"\"><a href=\"#\ud83c\udfaf-2-finans-risk-analizi\">2. Finans (Risk Analizi)<\/a><\/li><li class=\"\"><a href=\"#\ud83c\udfaf-3-kalite-kontrol\">3. Kalite Kontrol<\/a><\/li><li class=\"\"><a href=\"#\ud83c\udfaf-4-saglik\">4. Sa\u011fl\u0131k<\/a><\/li><\/ul><\/li><li class=\"\"><a href=\"#\u2705-7-standart-sapma-ve-dagilim-iliskisi\">7. Standart Sapma ve Da\u011f\u0131l\u0131m \u0130li\u015fkisi<\/a><\/li><li class=\"\"><a href=\"#\u2705-8-standart-sapmanin-avantajlari\">8. Standart Sapman\u0131n Avantajlar\u0131<\/a><\/li><li class=\"\"><a href=\"#\u2705-9-standart-sapmanin-dezavantajlari\">9. Standart Sapman\u0131n Dezavantajlar\u0131<\/a><\/li><li class=\"\"><a href=\"#\u2705-10-standart-sapma-varyans-degisim-katsayisi-iliskisi\">10. Standart Sapma \u2013 Varyans \u2013 De\u011fi\u015fim Katsay\u0131s\u0131 \u0130li\u015fkisi<\/a><ul><li class=\"\"><a href=\"#\u2705-varyans\">Varyans<\/a><\/li><li class=\"\"><a href=\"#\u2705-standart-sapma\">Standart Sapma<\/a><\/li><li class=\"\"><a href=\"#\u2705-degisim-katsayisi-cv\">De\u011fi\u015fim Katsay\u0131s\u0131 (CV)<\/a><\/li><\/ul><\/li><li class=\"\"><a href=\"#\u2705-11-dunyada-en-cok-sorulan-sorular-ve-cevaplari\">11. D\u00fcnyada En \u00c7ok Sorulan Sorular ve Cevaplar\u0131<\/a><ul><li class=\"\"><a href=\"#\u2753-1-standart-sapma-neden-onemlidir\">1. Standart sapma neden \u00f6nemlidir?<\/a><\/li><li class=\"\"><a href=\"#\u2753-2-standart-sapma-ile-varyans-arasindaki-fark-nedir\">2. Standart sapma ile varyans aras\u0131ndaki fark nedir?<\/a><\/li><li class=\"\"><a href=\"#\u2753-3-standart-sapma-sifir-olabilir-mi\">3. Standart sapma s\u0131f\u0131r olabilir mi?<\/a><\/li><li class=\"\"><a href=\"#\u2753-4-buyuk-standart-sapma-ne-demektir\">4. B\u00fcy\u00fck standart sapma ne demektir?<\/a><\/li><li class=\"\"><a href=\"#\u2753-5-standart-sapma-aykiri-degerlerden-etkilenir-mi\">5. Standart sapma ayk\u0131r\u0131 de\u011ferlerden etkilenir mi?<\/a><\/li><li class=\"\"><a href=\"#\u2753-6-standart-sapma-normal-dagilimda-nasil-kullanilir\">6. Standart sapma normal da\u011f\u0131l\u0131mda nas\u0131l kullan\u0131l\u0131r?<\/a><\/li><li class=\"\"><a href=\"#\u2753-7-hangi-sektorlerde-standart-sapma-en-cok-kullanilir\">7. Hangi sekt\u00f6rlerde standart sapma en \u00e7ok kullan\u0131l\u0131r?<\/a><\/li><li class=\"\"><a href=\"#\u2753-8-standart-sapma-histogramdan-nasil-anlasilir\">8. Standart sapma histogramdan nas\u0131l anla\u015f\u0131l\u0131r?<\/a><\/li><li class=\"\"><a href=\"#\u2753-9-standart-sapma-negatif-olabilir-mi\">9. Standart sapma negatif olabilir mi?<\/a><\/li><li class=\"\"><a href=\"#\u2753-10-standart-sapmayi-kim-kesfetti\">10. Standart sapmay\u0131 kim ke\u015ffetti?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"giris-standart-sapma-nedir-standart-sapma-neden-istatistikte-bu-kadar-kritik\"><strong>Giri\u015f: <strong>Standart Sapma Nedir?<\/strong><\/strong> <strong>Standart Sapma Neden \u0130statistikte Bu Kadar Kritik?<\/strong><\/h2>\n\n\n\n<p><strong><strong>Standart Sapma Nedir?<\/strong><\/strong> \u0130statistikte veri da\u011f\u0131l\u0131m\u0131n\u0131 anlamak, yaln\u0131zca ortalamaya veya medyana bakarak m\u00fcmk\u00fcn de\u011fildir. \u00c7\u00fcnk\u00fc iki farkl\u0131 veri seti ayn\u0131 ortalamaya sahip olsa bile, de\u011ferlerin birbirine yak\u0131nl\u0131\u011f\u0131 veya uzakl\u0131\u011f\u0131 tamamen farkl\u0131 olabilir. \u0130\u015fte bu noktada devreye <strong>standart sapma (standard deviation)<\/strong> girer.<\/p>\n\n\n\n<p>Standart sapma, veri setinin <strong>da\u011f\u0131l\u0131m geni\u015fli\u011fini<\/strong>, yani de\u011ferlerin ortalamadan <strong>ne kadar uzakla\u015ft\u0131\u011f\u0131n\u0131<\/strong> \u00f6l\u00e7en en \u00f6nemli istatistiksel yay\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fcd\u00fcr.<\/p>\n\n\n\n<p>Bir veri seti \u201cda\u011f\u0131n\u0131k\u201d m\u0131?<br>Veriler birbirine yak\u0131n m\u0131?<br>Risk y\u00fcksek mi?<br>Performans istikrarl\u0131 m\u0131?<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u2705-1-standart-sapma-nedir\"><strong>1. Standart Sapma Nedir?<\/strong><\/h2>\n\n\n\n<p><strong>Standart sapma<\/strong>, bir veri setindeki de\u011ferlerin ortalamadan ortalama uzakl\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\ud83d\udccc-tanim\">Tan\u0131m:<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"486\" height=\"84\" src=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-6.png\" alt=\"\" class=\"wp-image-1418\" style=\"width:361px;height:auto\" srcset=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-6.png 486w, https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-6-300x52.png 300w\" sizes=\"auto, (max-width: 486px) 100vw, 486px\" \/><\/figure>\n\n\n\n<p>Varyans (s\u00b2), ortalamadan sapmalar\u0131n karelerinin ortalamas\u0131d\u0131r.<br>Standart sapma ise varyans\u0131n karek\u00f6k\u00fcd\u00fcr\u2014b\u00f6ylece birim tekrar orijinal birime d\u00f6ner.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u2705-2-standart-sapma-ne-ise-yarar\"><strong>2. Standart Sapma Ne \u0130\u015fe Yarar?<\/strong><\/h2>\n\n\n\n<p>Standart sapma:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Da\u011f\u0131l\u0131m\u0131n ne kadar yayg\u0131n oldu\u011funu g\u00f6sterir<\/li>\n\n\n\n<li>Verilerin tutarl\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirler<\/li>\n\n\n\n<li>Risk analizinde kullan\u0131l\u0131r<\/li>\n\n\n\n<li>Kalite kontrol\u00fcnde kritik \u00f6neme sahiptir<\/li>\n\n\n\n<li>Performans istikrar\u0131n\u0131 \u00f6l\u00e7er<\/li>\n\n\n\n<li>Ayk\u0131r\u0131 de\u011ferlerin etkisini ortaya \u00e7\u0131kar\u0131r<\/li>\n<\/ul>\n\n\n\n<p>\u00d6zetle:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>Standart sapma, veri setinin \u201coynakl\u0131\u011f\u0131n\u0131\u201d g\u00f6steren en g\u00fc\u00e7l\u00fc istatistiksel ara\u00e7t\u0131r.<\/strong><\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u2705-3-standart-sapmanin-yorumlanmasi\"><strong>3. Standart Sapman\u0131n Yorumlanmas\u0131<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2705-kucuk-standart-sapma\"><strong>K\u00fc\u00e7\u00fck Standart Sapma<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Veriler ortalamaya yak\u0131nd\u0131r<\/li>\n\n\n\n<li>Da\u011f\u0131l\u0131m \u201cdar\u201dd\u0131r<\/li>\n\n\n\n<li>Risk d\u00fc\u015f\u00fckt\u00fcr<\/li>\n\n\n\n<li>S\u00fcre\u00e7 istikrarl\u0131d\u0131r<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2705-buyuk-standart-sapma\"><strong>B\u00fcy\u00fck Standart Sapma<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Veriler ortalamadan uzakla\u015fm\u0131\u015ft\u0131r<\/li>\n\n\n\n<li>Da\u011f\u0131l\u0131m geni\u015ftir<\/li>\n\n\n\n<li>Risk y\u00fcksektir<\/li>\n\n\n\n<li>S\u00fcre\u00e7 de\u011fi\u015fkendir<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u00d6rnek:<br>\u0130ki s\u0131n\u0131f\u0131n s\u0131nav ortalamas\u0131 70 olsun.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>S\u0131n\u0131f A: SD = 3 \u2192 \u00f6\u011frenciler birbirine \u00e7ok yak\u0131n<\/li>\n\n\n\n<li>S\u0131n\u0131f B: SD = 15 \u2192 \u00f6\u011frenciler aras\u0131nda b\u00fcy\u00fck farklar var<\/li>\n<\/ul>\n\n\n\n<p>Ortalamalar\u0131 ayn\u0131 olsa bile <strong>S\u0131n\u0131f A \u00e7ok daha homojendir<\/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=\"\u2705-4-standart-sapma-nasil-hesaplanir\"><strong>4. Standart Sapma Nas\u0131l Hesaplan\u0131r?<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\ud83d\udccc-formul-orneklem-icin\">Form\u00fcl (\u00d6rneklem i\u00e7in):<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"299\" height=\"110\" src=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-7.png\" alt=\"\" class=\"wp-image-1419\" style=\"width:188px;height:auto\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\ud83d\udccc-evren-icin\">Evren i\u00e7in:<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"311\" height=\"123\" src=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-8.png\" alt=\"\" class=\"wp-image-1420\" style=\"width:185px;height:auto\" srcset=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-8.png 311w, https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-8-300x119.png 300w\" sizes=\"auto, (max-width: 311px) 100vw, 311px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u2705-5-sayisal-ornek-adim-adim-standart-sapma-hesaplama\"><strong>5. Say\u0131sal \u00d6rnek: Ad\u0131m Ad\u0131m Standart Sapma Hesaplama<\/strong><\/h2>\n\n\n\n<p>Veri seti:<br><strong>5, 7, 7, 9, 12<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2705-adim-1-ortalama-hesapla\">Ad\u0131m 1: Ortalama Hesapla<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"497\" height=\"69\" src=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-9.png\" alt=\"\" class=\"wp-image-1421\" style=\"width:339px;height:auto\" srcset=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-9.png 497w, https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-9-300x42.png 300w\" sizes=\"auto, (max-width: 497px) 100vw, 497px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2705-adim-2-her-degerin-ortalamadan-sapmasi\">Ad\u0131m 2: Her De\u011ferin Ortalamadan Sapmas\u0131<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>x<\/th><th>x \u2013 8<\/th><th>(x \u2013 8)\u00b2<\/th><\/tr><\/thead><tbody><tr><td>5<\/td><td>-3<\/td><td>9<\/td><\/tr><tr><td>7<\/td><td>-1<\/td><td>1<\/td><\/tr><tr><td>7<\/td><td>-1<\/td><td>1<\/td><\/tr><tr><td>9<\/td><td>1<\/td><td>1<\/td><\/tr><tr><td>12<\/td><td>4<\/td><td>16<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2705-adim-3-karelerin-toplami\">Ad\u0131m 3: Karelerin Toplam\u0131<\/h3>\n\n\n\n<p>9+1+1+1+16=289 + 1 + 1 + 1 + 16 = 289+1+1+1+16=28<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2705-adim-4-varyans\">Ad\u0131m 4: Varyans<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"348\" height=\"86\" src=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-11.png\" alt=\"\" class=\"wp-image-1423\" style=\"width:210px;height:auto\" srcset=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-11.png 348w, https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-11-300x74.png 300w\" sizes=\"auto, (max-width: 348px) 100vw, 348px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2705-adim-5-standart-sapma\">Ad\u0131m 5: Standart Sapma<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"234\" height=\"78\" src=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-12.png\" alt=\"\" class=\"wp-image-1424\" style=\"width:150px;height:auto\"\/><\/figure>\n\n\n\n<p><strong>Standart sapma = 2.64<\/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=\"\u2705-6-gercek-hayattan-standart-sapma-ornekleri\"><strong>6. Ger\u00e7ek Hayattan Standart Sapma \u00d6rnekleri<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\ud83c\udfaf-1-egitim\">1. E\u011fitim<\/h3>\n\n\n\n<p>\u0130ki \u00f6\u011fretmen d\u00fc\u015f\u00fcnelim:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00d6\u011fretmen A\u2019n\u0131n s\u0131n\u0131f\u0131 SD = 4<\/li>\n\n\n\n<li>\u00d6\u011fretmen B\u2019nin s\u0131n\u0131f\u0131 SD = 18<\/li>\n<\/ul>\n\n\n\n<p>\u00d6\u011fretmen B\u2019nin s\u0131n\u0131f\u0131ndaki \u00f6\u011frenciler aras\u0131nda ba\u015far\u0131 fark\u0131 \u00e7ok daha fazlad\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=\"\ud83c\udfaf-2-finans-risk-analizi\">2. Finans (Risk Analizi)<\/h3>\n\n\n\n<p>Bir yat\u0131r\u0131m\u0131n standart sapmas\u0131 y\u00fcksekse:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fiyat \u00e7ok oynakt\u0131r<\/li>\n\n\n\n<li>Risk y\u00fcksektir<\/li>\n\n\n\n<li>Belirsizlik fazlad\u0131r<\/li>\n<\/ul>\n\n\n\n<p>Bu nedenle d\u00fcnya genelinde borsa analistleri standart sapmay\u0131 hareketlilik g\u00f6stergesi olarak kullan\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=\"\ud83c\udfaf-3-kalite-kontrol\">3. Kalite Kontrol<\/h3>\n\n\n\n<p>\u00dcretim band\u0131nda bir par\u00e7an\u0131n ideal uzunlu\u011fu 100 mm olsun.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>SD = 0.5 \u2192 M\u00fckemmel kalite<\/li>\n\n\n\n<li>SD = 5 \u2192 \u00dcretimde b\u00fcy\u00fck sapmalar var<\/li>\n<\/ul>\n\n\n\n<p>Bu nedenle fabrikalar g\u00fcnl\u00fck olarak SD hesaplar.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\ud83c\udfaf-4-saglik\">4. Sa\u011fl\u0131k<\/h3>\n\n\n\n<p>Bir ilac\u0131n etki s\u00fcresi 4 saat olsun.<\/p>\n\n\n\n<p>Standart sapma:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>SD = 0.3 saat \u2192 g\u00fcvenilir, sabit etki<\/li>\n\n\n\n<li>SD = 1.8 saat \u2192 etkisi ki\u015fiden ki\u015fiye \u00e7ok de\u011fi\u015fiyor<\/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=\"\u2705-7-standart-sapma-ve-dagilim-iliskisi\"><strong>7. Standart Sapma ve Da\u011f\u0131l\u0131m \u0130li\u015fkisi<\/strong><\/h2>\n\n\n\n<p>Normal da\u011f\u0131l\u0131mda:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>%68 veri \u2192 ortalama \u00b1 1 SD<\/li>\n\n\n\n<li>%95 veri \u2192 ortalama \u00b1 2 SD<\/li>\n\n\n\n<li>%99 veri \u2192 ortalama \u00b1 3 SD<\/li>\n<\/ul>\n\n\n\n<p>\u00d6rne\u011fin:<br>Ortalama = 70, SD = 10 olsun.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>60\u201380 aral\u0131\u011f\u0131 \u2192 %68<\/li>\n\n\n\n<li>50\u201390 aral\u0131\u011f\u0131 \u2192 %95<\/li>\n<\/ul>\n\n\n\n<p>Bu bilgiler \u00f6zellikle:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>psikometride<\/li>\n\n\n\n<li>\u00f6l\u00e7me-de\u011ferlendirmede<\/li>\n\n\n\n<li>finansal analizde<\/li>\n\n\n\n<li>kalite y\u00f6netiminde<\/li>\n<\/ul>\n\n\n\n<p>hayati \u00f6nem ta\u015f\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=\"\u2705-8-standart-sapmanin-avantajlari\"><strong>8. Standart Sapman\u0131n Avantajlar\u0131<\/strong><\/h2>\n\n\n\n<p>\u2705 Hesaplamas\u0131 kolay<br>\u2705 Yorumlanabilir<br>\u2705 Ayk\u0131r\u0131 de\u011ferlere duyarl\u0131d\u0131r (baz\u0131 durumlarda avantaj)<br>\u2705 Varyasyonun tek say\u0131 ile \u00f6l\u00e7\u00fclmesini sa\u011flar<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u2705-9-standart-sapmanin-dezavantajlari\"><strong>9. Standart Sapman\u0131n Dezavantajlar\u0131<\/strong><\/h2>\n\n\n\n<p>\u274c Ayk\u0131r\u0131 de\u011ferlerden a\u015f\u0131r\u0131 etkilenir<br>\u274c Karma\u015f\u0131k da\u011f\u0131l\u0131mlarda yan\u0131lt\u0131c\u0131 olabilir<br>\u274c Tek ba\u015f\u0131na veri hakk\u0131nda tam bilgi vermez<\/p>\n\n\n\n<p>Bu y\u00fczden genellikle:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ortalama<\/li>\n\n\n\n<li>Medyan<\/li>\n\n\n\n<li>Mod<\/li>\n\n\n\n<li>Varyans<\/li>\n\n\n\n<li>Aral\u0131k (range)<\/li>\n\n\n\n<li>Kutu grafi\u011fi (boxplot)<\/li>\n<\/ul>\n\n\n\n<p>ile birlikte 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=\"\u2705-10-standart-sapma-varyans-degisim-katsayisi-iliskisi\"><strong>10. Standart Sapma \u2013 Varyans \u2013 De\u011fi\u015fim Katsay\u0131s\u0131 \u0130li\u015fkisi<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2705-varyans\">Varyans<\/h3>\n\n\n\n<p>Da\u011f\u0131l\u0131m\u0131n kareli \u00f6l\u00e7\u00fcm\u00fcd\u00fcr.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2705-standart-sapma\">Standart Sapma<\/h3>\n\n\n\n<p>Varyans\u0131n karek\u00f6k\u00fc; daha yorumlanabilir.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2705-degisim-katsayisi-cv\">De\u011fi\u015fim Katsay\u0131s\u0131 (CV)<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"299\" height=\"113\" src=\"https:\/\/www.facadium.com.tr\/blog\/wp-content\/uploads\/2025\/11\/image-13.png\" alt=\"\" class=\"wp-image-1425\" style=\"width:156px;height:auto\"\/><\/figure>\n\n\n\n<p>Birimlerden ba\u011f\u0131ms\u0131z oldu\u011fu i\u00e7in kar\u015f\u0131la\u015ft\u0131rma yapmaya 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=\"\u2705-11-dunyada-en-cok-sorulan-sorular-ve-cevaplari\"><strong>11. D\u00fcnyada En \u00c7ok Sorulan Sorular ve Cevaplar\u0131<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2753-1-standart-sapma-neden-onemlidir\">1. Standart sapma neden \u00f6nemlidir?<\/h3>\n\n\n\n<p>\u00c7\u00fcnk\u00fc verinin ne kadar de\u011fi\u015fken oldu\u011funu g\u00f6steren en g\u00fc\u00e7l\u00fc \u00f6l\u00e7\u00fcd\u00fcr.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2753-2-standart-sapma-ile-varyans-arasindaki-fark-nedir\">2. Standart sapma ile varyans aras\u0131ndaki fark nedir?<\/h3>\n\n\n\n<p>Varyans kare hesapl\u0131d\u0131r; standart sapma varyans\u0131n karek\u00f6k\u00fcd\u00fcr.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2753-3-standart-sapma-sifir-olabilir-mi\">3. Standart sapma s\u0131f\u0131r olabilir mi?<\/h3>\n\n\n\n<p>Evet. T\u00fcm de\u011ferler ayn\u0131ysa SD = 0 olur.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2753-4-buyuk-standart-sapma-ne-demektir\">4. B\u00fcy\u00fck standart sapma ne demektir?<\/h3>\n\n\n\n<p>Da\u011f\u0131l\u0131m geni\u015ftir, veriler da\u011f\u0131n\u0131kt\u0131r, risk y\u00fcksektir.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2753-5-standart-sapma-aykiri-degerlerden-etkilenir-mi\">5. Standart sapma ayk\u0131r\u0131 de\u011ferlerden etkilenir mi?<\/h3>\n\n\n\n<p>Evet, \u00e7ok fazla etkilenir.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2753-6-standart-sapma-normal-dagilimda-nasil-kullanilir\">6. Standart sapma normal da\u011f\u0131l\u0131mda nas\u0131l kullan\u0131l\u0131r?<\/h3>\n\n\n\n<p>%68\u201395\u201399.7 kural\u0131 ile tahminlerde.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2753-7-hangi-sektorlerde-standart-sapma-en-cok-kullanilir\">7. Hangi sekt\u00f6rlerde standart sapma en \u00e7ok kullan\u0131l\u0131r?<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Finans<\/li>\n\n\n\n<li>\u00dcretim<\/li>\n\n\n\n<li>E\u011fitim<\/li>\n\n\n\n<li>Sa\u011fl\u0131k<\/li>\n\n\n\n<li>Veri bilimi<\/li>\n\n\n\n<li>Pazar ara\u015ft\u0131rmalar\u0131<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2753-8-standart-sapma-histogramdan-nasil-anlasilir\">8. Standart sapma histogramdan nas\u0131l anla\u015f\u0131l\u0131r?<\/h3>\n\n\n\n<p>Histogram geni\u015f yay\u0131lm\u0131\u015fsa SD b\u00fcy\u00fckt\u00fcr; dar ise k\u00fc\u00e7\u00fckt\u00fcr.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u2753-9-standart-sapma-negatif-olabilir-mi\">9. Standart sapma negatif olabilir mi?<\/h3>\n\n\n\n<p>Hay\u0131r, her zaman pozitif veya s\u0131f\u0131rd\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=\"\u2753-10-standart-sapmayi-kim-kesfetti\">10. Standart sapmay\u0131 kim ke\u015ffetti?<\/h3>\n\n\n\n<p>Karl Pearson taraf\u0131ndan pop\u00fclerle\u015ftirilmi\u015f, istatisti\u011fin temel ta\u015flar\u0131ndan biridir.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"\u2705-12-sonuc-standart-sapma-veri-analizinin-en-guclu-pusulasidir\"><strong>12. Sonu\u00e7: Standart Sapma, Veri Analizinin En G\u00fc\u00e7l\u00fc Pusulas\u0131d\u0131r<\/strong><\/h1>\n\n\n\n<p>Standart sapma, verinin ne kadar de\u011fi\u015fken oldu\u011funu g\u00f6steren <strong>en \u00f6nemli yay\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fcd\u00fcr<\/strong>.<br>Da\u011f\u0131l\u0131m\u0131 say\u0131sal olarak a\u00e7\u0131klayan en iyi ara\u00e7t\u0131r.<br>Finans, \u00fcretim, e\u011fitim, sa\u011fl\u0131k, veri bilimi ve istatisti\u011fin t\u00fcm alanlar\u0131nda kritik rol oynar.<\/p>\n\n\n\n<p>\u00d6zetle:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>Standart sapma, ortalaman\u0131n s\u00f6yledi\u011fini do\u011frular, tamamlar ve derinle\u015ftirir.<\/strong><\/p>\n<\/blockquote>\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","protected":false},"excerpt":{"rendered":"<p>Giri\u015f: Standart Sapma Nedir? Standart Sapma Neden \u0130statistikte Bu Kadar Kritik? Standart Sapma Nedir? \u0130statistikte veri da\u011f\u0131l\u0131m\u0131n\u0131 anlamak, yaln\u0131zca ortalamaya veya medyana bakarak m\u00fcmk\u00fcn de\u011fildir. [&#8230;]<\/p>\n","protected":false},"author":3,"featured_media":1415,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[163],"tags":[224,204,223,225,219,220,218,222,221,226],"class_list":["post-1413","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-istatistik","tag-degisim-katsayisi","tag-istatistik-temel-kavramlar","tag-normal-dagilim-standart-sapma","tag-sd-hesaplama","tag-standard-deviation-nedir","tag-standart-sapma-nasil-hesaplanir","tag-standart-sapma-nedir","tag-standart-sapma-ornekleri","tag-varyans-ve-standart-sapma","tag-veri-analizi-yayilim-olculeri"],"_links":{"self":[{"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/posts\/1413","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=1413"}],"version-history":[{"count":3,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/posts\/1413\/revisions"}],"predecessor-version":[{"id":1426,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/posts\/1413\/revisions\/1426"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/media\/1415"}],"wp:attachment":[{"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/media?parent=1413"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/categories?post=1413"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.facadium.com.tr\/blog\/wp-json\/wp\/v2\/tags?post=1413"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}