<\/p>\n
\u0130statistiklerde z-puan\u0131<\/a> bize<\/span> belirli bir de\u011ferin pop\u00fclasyon ortalamas\u0131ndan ka\u00e7 standart sapma oldu\u011funu s\u00f6yler.<\/span><\/p>\n Belirli bir de\u011fere ili\u015fkin z-puan\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n z = (x \u2013 \u03bc) \/ \u03c3<\/strong><\/span><\/p>\n Alt\u0131n:<\/span><\/p>\n A\u015fa\u011f\u0131daki \u00f6rnekler z-puanlar\u0131n\u0131n ger\u00e7ek hayatta farkl\u0131 senaryolarda nas\u0131l kullan\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n Z puanlar\u0131 genellikle akademik ortamlarda bir \u00f6\u011frencinin puan\u0131n\u0131n belirli bir s\u0131navdaki ortalama notla kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda ne kadar iyi oldu\u011funu analiz etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n \u00d6rne\u011fin, belirli bir \u00fcniversiteye giri\u015f s\u0131nav\u0131n\u0131n puanlar\u0131n\u0131n ortalamas\u0131 82 ve standart sapmas\u0131 5 olacak \u015fekilde yakla\u015f\u0131k olarak normal da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayal\u0131m.<\/span><\/p>\n E\u011fer belirli bir \u00f6\u011frenci s\u0131navdan 90 ald\u0131ysa z-puan\u0131n\u0131 \u015fu \u015fekilde hesaplar\u0131z:<\/span><\/p>\n Bu, bu \u00f6\u011frencinin ortalaman\u0131n 1,6 standart sapma \u00fczerinde puan ald\u0131\u011f\u0131 anlam\u0131na gelir.<\/span><\/p>\n 1,6’l\u0131k bir z-puan\u0131n\u0131n t\u00fcm s\u0131nav sonu\u00e7lar\u0131n\u0131n %94,52’sinden<\/strong> daha y\u00fcksek bir de\u011feri temsil etti\u011fini g\u00f6rmek i\u00e7in Z-puan\u0131’n\u0131n solundaki alan hesaplay\u0131c\u0131y\u0131<\/a> kullanabiliriz.<\/span><\/p>\n Z puanlar\u0131 genellikle t\u0131bbi ortamlarda yeni do\u011fmu\u015f bir bebe\u011fin a\u011f\u0131rl\u0131\u011f\u0131n\u0131n t\u00fcm bebeklerin ortalama a\u011f\u0131rl\u0131\u011f\u0131yla nas\u0131l kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131n\u0131 analiz etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n \u00d6rne\u011fin, yenido\u011fan a\u011f\u0131rl\u0131\u011f\u0131n\u0131n ortalama olarak yakla\u015f\u0131k 7,5 pound ve standart sapma olarak 0,5 pound ile normal \u015fekilde da\u011f\u0131ld\u0131\u011f\u0131 iyi bir \u015fekilde belgelenmi\u015ftir.<\/span><\/p>\n Belirli bir yenido\u011fan\u0131n a\u011f\u0131rl\u0131\u011f\u0131 7,7 pound ise z-puan\u0131n\u0131 \u015fu \u015fekilde hesaplar\u0131z:<\/span><\/p>\n Bu, bu bebe\u011fin ortalaman\u0131n 0,4 standart sapma \u00fczerinde oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n 0,4’l\u00fck bir z-puan\u0131n\u0131n t\u00fcm bebek a\u011f\u0131rl\u0131klar\u0131n\u0131n %65,54’\u00fcnden<\/strong> daha b\u00fcy\u00fck bir a\u011f\u0131rl\u0131\u011f\u0131 temsil etti\u011fini g\u00f6rmek i\u00e7in Z-puan\u0131n\u0131n solundaki alan hesaplay\u0131c\u0131y\u0131<\/a> kullanabiliriz.<\/span><\/p>\n Z puanlar\u0131, biyolojide, belirli bir hayvan\u0131n b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fcn o hayvan\u0131n ortalama pop\u00fclasyon b\u00fcy\u00fckl\u00fc\u011f\u00fcyle nas\u0131l kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131n\u0131 de\u011ferlendirmek i\u00e7in s\u0131kl\u0131kla kullan\u0131l\u0131r.<\/span><\/p>\n \u00d6rne\u011fin, belirli bir z\u00fcrafa t\u00fcr\u00fcn\u00fcn boylar\u0131n\u0131n ortalama 16 feet ve standart sapman\u0131n 2 feet olacak \u015fekilde normal da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayal\u0131m.<\/span><\/p>\n Bu t\u00fcrden belirli bir z\u00fcrafan\u0131n boyu 15 metre ise z-puan\u0131n\u0131 \u015fu \u015fekilde hesaplar\u0131z:<\/span><\/p>\n Bu, bu z\u00fcrafan\u0131n ortalamadan 0,5 standart sapma daha d\u00fc\u015f\u00fck bir y\u00fcksekli\u011fe sahip oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n Z-puan\u0131n\u0131n solundaki alan hesaplay\u0131c\u0131y\u0131<\/a> kullanarak -0,5’lik bir z-puan\u0131n\u0131n t\u00fcm z\u00fcrafalar\u0131n yaln\u0131zca %30,85’inden<\/strong> daha y\u00fcksek bir boyu temsil etti\u011fini g\u00f6rebiliriz.<\/span><\/p>\n Z puanlar\u0131, belirli bir ayakkab\u0131 numaras\u0131n\u0131n ortalama n\u00fcfus b\u00fcy\u00fckl\u00fc\u011f\u00fcyle kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda nas\u0131l oldu\u011funu belirlemek i\u00e7in kullan\u0131labilir.<\/span><\/p>\n \u00d6rne\u011fin, Amerika Birle\u015fik Devletleri’ndeki erkek ayakkab\u0131 numaralar\u0131n\u0131n ortalama 10 numara ve standart sapma 1 olmak \u00fczere yakla\u015f\u0131k olarak normal da\u011f\u0131l\u0131ma sahip oldu\u011funu biliyoruz.<\/span><\/p>\n E\u011fer bir erke\u011fin ayakkab\u0131 numaras\u0131 10 ise onun z-puan\u0131n\u0131 \u015fu \u015fekilde hesaplar\u0131z:<\/span><\/p>\n Bu, bu adam\u0131n ortalamadan 0 standart sapma olan bir ayakkab\u0131 numaras\u0131na sahip oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n Z-puan\u0131n\u0131n solundaki alan hesaplay\u0131c\u0131y\u0131<\/a> kullanarak 0’l\u0131k bir z-puan\u0131n\u0131n t\u00fcm erkeklerin tam olarak %50’sinden<\/strong> daha y\u00fcksek bir ayakkab\u0131 numaras\u0131n\u0131 temsil etti\u011fini g\u00f6rebiliriz.<\/span><\/p>\n Z puanlar\u0131 genellikle t\u0131bbi ortamlarda bireyin kan bas\u0131nc\u0131n\u0131 pop\u00fclasyonun ortalama kan bas\u0131nc\u0131na g\u00f6re de\u011ferlendirmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n \u00d6rne\u011fin erkeklerde diyastolik kan bas\u0131nc\u0131n\u0131n da\u011f\u0131l\u0131m\u0131 yakla\u015f\u0131k 80 ortalama ve 20 standart sapma ile normal da\u011f\u0131l\u0131ma sahiptir.<\/span><\/p>\n Belirli bir adam\u0131n diyastolik kan bas\u0131nc\u0131 100 ise z-puan\u0131n\u0131 \u015fu \u015fekilde hesaplar\u0131z:<\/span><\/p>\n Bu, bu adam\u0131n ortalaman\u0131n 1 standart sapma \u00fczerinde diyastolik kan bas\u0131nc\u0131na sahip oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n Az skoru 1’in t\u00fcm erkeklerin %84,13’\u00fcnden<\/strong> daha y\u00fcksek bir kan bas\u0131nc\u0131 boyutunu temsil etti\u011fini g\u00f6rmek i\u00e7in Z skorunun solundaki alan hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanabiliriz.<\/span><\/p>\n A\u015fa\u011f\u0131daki e\u011fitimler z puanlar\u0131 hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n Z puanlar\u0131 nas\u0131l yorumlan\u0131r?<\/a> \u0130statistiklerde z-puan\u0131 bize belirli bir de\u011ferin pop\u00fclasyon ortalamas\u0131ndan ka\u00e7 standart sapma oldu\u011funu s\u00f6yler. Belirli bir de\u011fere ili\u015fkin z-puan\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z: z = (x \u2013 \u03bc) \/ \u03c3 Alt\u0131n: x : Bireysel verilerin de\u011feri \u03bc : N\u00fcfus ortalamas\u0131 \u03c3 : N\u00fcfus standart sapmas\u0131 A\u015fa\u011f\u0131daki \u00f6rnekler z-puanlar\u0131n\u0131n ger\u00e7ek hayatta farkl\u0131 senaryolarda nas\u0131l kullan\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6stermektedir. […]<\/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-2103","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\n\n
\u00d6rnek 1: S\u0131nav sonu\u00e7lar\u0131<\/strong><\/span><\/h3>\n
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\u00d6rnek 2: yenido\u011fan a\u011f\u0131rl\u0131\u011f\u0131<\/strong><\/span><\/h3>\n
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\u00d6rnek 3: Z\u00fcrafa Y\u00fckseklikleri<\/strong><\/span><\/h3>\n
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\u00d6rnek 4: ayakkab\u0131 numaras\u0131<\/strong><\/span><\/h3>\n
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\u00d6rnek 5: kan bas\u0131nc\u0131<\/strong><\/span><\/h3>\n
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Ek kaynaklar<\/strong><\/span><\/h3>\n
Z puanlar\u0131n\u0131n sa\u011f\u0131ndaki alan nas\u0131l bulunur?<\/a>
Z puanlar\u0131n\u0131n solundaki alan nas\u0131l bulunur?<\/a>
\u0130yi bir Z-Skoru olarak kabul edilen \u015fey nedir?<\/p>\n","protected":false},"excerpt":{"rendered":"