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başlar.","\"cout\" nesnesi ile birlikte kullanılan ekleme operatörü \u003c> işaretidir.","\"include\" komutu derleyiciye kaynak dosyası içerisinde başka bir dosya eklenmesi gerektiğini bildirir."]},"beginTime":239,"endTime":390,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=239&ask_summarization=1"},{"index":4,"title":"Değişken Tanımları","list":{"type":"unordered","items":["Değişken adları harf, rakam, sayı ve alt çizgi içerebilir.","Değişken adları harf veya alttan çizgi ile başlamak zorundadır, ancak alt çizgi ile başlaması önerilmez.","Büyük küçük harf ayrımı vardır."]},"beginTime":390,"endTime":430,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=390&ask_summarization=1"},{"index":5,"title":"C++ Programlama Dili Temel Kavramları","list":{"type":"unordered","items":["Cin anahtar kelimesi, bilgisayara giriş olarak alınan değerleri kullanmak için kullanılan önceden tanımlı bir nesnedir.","Cin komutu ile kullanıcıdan değer alınabilir ve ekrana yazdırılabilir.","C++ programlarında sabitleri tanımlamak için \"const\" kullanılır, \"define\" direktifi ise sabit tanımlamakta kullanılır ancak tavsiye edilmez."]},"beginTime":437,"endTime":583,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=437&ask_summarization=1"},{"index":6,"title":"Operatörler ve İşlevleri","list":{"type":"unordered","items":["Artı artı (+) işareti değişkenin değerini bir artırır.","Artı eşittir (+=) işareti, değişkenin değerini belirtilen değere ekler ve bu işlem hız açısından avantaj sağlar.","Küçük eşit (\u003c=) işareti, küçük veya eşit mi anlamına gelir ve karşılaştırma operatörüdür."]},"beginTime":583,"endTime":706,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=583&ask_summarization=1"},{"index":7,"title":"Karar Yapıları","list":{"type":"unordered","items":["C++ programlarında belli koşullar altında ifadelerin çalıştırılması için \"if\" deyimi kullanılır.","\"if else\" yapısı, koşul sağlandığında ve sağlanmadığında çalışılacak ifadelerin ayrı ayrı seçilmesini sağlar.","Akış şemalarında \"if\" kara deyiminin ifade edilmesi için eşkenar dörtgen kullanılır."]},"beginTime":706,"endTime":852,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=706&ask_summarization=1"},{"index":8,"title":"Programlama Hataları ve Operatörler","list":{"type":"unordered","items":["C++ programlarında if koşul ifadelerinin parantezlerinden sonra noktalı virgül olmamalıdır.","Karşılaştırma operatörleri arasında büyük eşittir (>=), eşit değil (!=), eşit mi (==) ve küçük mü (\u003c) işaretleri bulunur.","İki v işareti bir arada olan operatör, karşılaştırma ilişkisel operatörü değildir."]},"beginTime":852,"endTime":951,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=852&ask_summarization=1"},{"index":9,"title":"C++ Programlama Hataları","list":{"type":"unordered","items":["Bir değişkeni kullanmadan önce tanımlamak gerekir, aksi takdirde \"sayı was not declared in this scope\" hatası alınır.","Operatörler arasında \"!\" eşittir eşit değildir anlamına gelir.","\"code\" komutu std uzayından gelmekte olup, kullanmak için \"using namespace std\" yazılmalıdır."]},"beginTime":953,"endTime":1162,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=953&ask_summarization=1"},{"index":10,"title":"Akış Şemaları","list":{"type":"unordered","items":["Akış şemalarında karar ifadesi için eşkenar dörtgen kullanılır.","Akış şemalarında başlama ve bitirme için özel simgeler vardır.","Akış şemalarında ekrana çıktı alma ve kullanıcıdan girdi alma işlemleri için farklı simgeler kullanılır."]},"beginTime":1162,"endTime":1198,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1162&ask_summarization=1"},{"index":11,"title":"Switch Yapıları","list":{"type":"unordered","items":["Switch yapısında her case'den hemen sonra sabit değerler gelir.","Sabitlerin veri tipleri switch değişkeninin veri tipi ile aynı olmalıdır.","Switch yapısında \"default\" anahtar kelimesi, hiçbir case koşulu sağlanmadığında çalışacak komutu belirtir."]},"beginTime":1198,"endTime":1288,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1198&ask_summarization=1"},{"index":12,"title":"Döngüler","list":{"type":"unordered","items":["Koşullardan sonra noktalı virgül kullanılmaz.","For döngüsü, belirtilen koşul sağlandığı sürece belirtilen komutu tekrar eder.","For döngüsünün koşul parantezindeki döngü değişkenine ilk değer ataması sadece bir kez yapılır."]},"beginTime":1288,"endTime":1479,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1288&ask_summarization=1"},{"index":13,"title":"For Döngüsü ve İf Koşulları","list":{"type":"unordered","items":["For döngüsü, süslü parantez içinde belirtilen aralıktaki komutları çalıştırır ve üç bölümden oluşur: başlangıç değeri, koşul ve artış/azalış.","Verilen for döngüsünde i değişkeni 1'den 9'a kadar (9'a kadar değil, 9'a eşit değil) çalışır ve her adımda ekrana i değeri yazılır.","İf koşulu \"if (i > 2 && i \u003c 8)\" ile belirlenir ve bu koşul sağlandığında \"continue\" komutu ile döngü sonraki sayıya geçer."]},"beginTime":1479,"endTime":1686,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1479&ask_summarization=1"},{"index":14,"title":"Diziler Hakkında Sorular","list":{"type":"unordered","items":["Dizilerde eleman sayısı tam sayı (integer) tipinde belirlenir çünkü diziler tam sayı değerlerini içerir.","Bir diziye ilk değer ataması yapılırken, dizinin eleman sayısından daha fazla değer atanırsa \"too many initializer for infor\" hatası alınır.","Çok boyutlu dizilerde, boyut sayısı çarpılarak toplam eleman sayısı bulunur (örneğin 4x3=12)."]},"beginTime":1686,"endTime":1827,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1686&ask_summarization=1"},{"index":15,"title":"Dizi Elemanlarına Değer Atama","list":{"type":"unordered","items":["Bir diziye sadece bir adet sıfır atanması yapıldığında, dizinin bütün elemanlarının değeri sıfır olur.","Dizi elemanlarına değer atama işlemi, dizinin boyutundan bağımsız olarak yapılabilir.","For döngüsü içinde \"if (i == 2)\" koşulu sağlandığında satır sonu karakteri (ctrl+n) yazdırılır, aksi halde dizinin elemanları yan yana yazılır."]},"beginTime":1827,"endTime":2090,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1827&ask_summarization=1"},{"index":16,"title":"Dizi Değerleri ve 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çalışabilir."]},"beginTime":2147,"endTime":2257,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=2147&ask_summarization=1"},{"index":18,"title":"Fonksiyon Deklarasyonu ve Çağrısı","list":{"type":"unordered","items":["Fonksiyon deklarasyonu, fonksiyonun kullanılacağı yerin ilanıdır.","Fonksiyon çağrısı, fonksiyonun işlevini yapması için birden fazla yerde yapılabilir.","Fonksiyonun kendisi, deklarasyon ve çağrıdan farklı bir kavramdır."]},"beginTime":2257,"endTime":2357,"href":"/video/preview/14650260453513844288?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=2257&ask_summarization=1"},{"index":19,"title":"Değer Döndürme ve Aşırı Yüklenmiş Fonksiyonlar","list":{"type":"unordered","items":["Fonksiyonlarda değer döndüren satır, return yazan yerdir.","Aşırı yüklenmiş fonksiyon, aynı fonksiyonun 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Ünite, Merkezi Eğilim Ölçüleri, Soru ve Çözümleri Aritmetik Ortalama, Geometrik Ortalama, Kareli Ortalama ve Harmonik ortalama, sınıf ve sıklık verileri ile...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3606807/652f5198b06fcdc5d46c04aba55b53d5/564x318_1"},"target":"_self","position":"14","reqid":"1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=videoid:4367069982493376318","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan olasılık ve istatistik dersinin merkezi eğilim ölçüleri ünitesini içeren eğitim içeriğidir.","Video, ortalama kavramlarını detaylı şekilde ele almaktadır. İlk olarak duyarlı ve duyarsız ortalama kavramları örneklerle açıklanmakta, ardından sigma işaretinin anlamı ve kullanımı anlatılmaktadır. Son bölümde ise toplam frekans değeri 15 olan bir veri seti üzerinden aritmetik, kareli, geometrik ve harmonik ortalama hesaplamaları yapılmaktadır.","Videoda ayrıca sınıfsal gösterimdeki not dağılımları üzerinden ortalama hesaplama yöntemleri, tartılı ortalama hesaplaması ve serinin her elemanının ortalamadan farkının toplamının sıfıra eşit olması gibi istatistiksel kavramlar örneklerle açıklanmaktadır."]},"endTime":1704,"title":"İstatistik Dersi: Merkezi Eğilim Ölçüleri","beginTime":0}],"fullResult":[{"index":0,"title":"Ortalama Kavramı ve Türleri","list":{"type":"unordered","items":["Olasılık ve istatistik dersinin merkezi eğilim ölçüleri ünitesi için ünite sonundaki sorular ve çözümleri incelenecek.","Ortalama, Türk Dil Kurumu sözlüğüne göre iki veya ikiden fazla sayının toplamının toplanan sayıların adedine bölünmesiyle elde edilen sayıdır.","Ortalama, bebeklerin gelişimini takip etmek gibi alanlarda normali belirleyen bir değer olarak kullanılır."]},"beginTime":0,"endTime":101,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=0&ask_summarization=1"},{"index":1,"title":"Duyarlı ve Duyarsız Ortalama","list":{"type":"unordered","items":["Duyarlı ortalamada tüm sayılar dikkate alınır, verideki hiçbir sayı istisna tutulmaz.","Duyarsız ortalama, istatistiği yanıltacak aşırı rakamların veri setinden çıkartılarak ortalamanın kalan sayılarla yapılmasını sağlar.","Duyarlı ortalama gerçekçi olmayabilirken, duyarsız ortalama daha normale erişmek için daha doğru sonuçlar verebilir."]},"beginTime":101,"endTime":229,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=101&ask_summarization=1"},{"index":2,"title":"Sınıfsal Gösterim ve Ortalama Hesaplama","list":{"type":"unordered","items":["Sınıfsal gösterim, aralık bazında kaç kayıt olduğunu gösteren bir dağılım şeklidir.","Sınıfsal gösterimde her sınıfın ortası bulunur ve seri tek elemanlı hale getirilir.","Sınıfsal gösterimde ortalama hesaplaması için formül kullanılır: x'in ortalaması = frekans ve medyan değerlerinin çarpımlarının toplamının serideki eleman sayılarının toplamına bölümüdür."]},"beginTime":229,"endTime":416,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=229&ask_summarization=1"},{"index":3,"title":"Ortalama Hesaplama Formülü","list":{"type":"unordered","items":["X üzeri çizgi ortalama anlamına gelir ve serinin ortalamasını gösterir.","Formülde k, toplam satır sayısı (dizinin büyüklüğü) olarak belirtilir.","Formülün yukarı kısmı, serinin her sırasındaki frekans ve medyanın değerlerinin birbiriyle çarpılıp toplanmasıdır."]},"beginTime":417,"endTime":528,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=417&ask_summarization=1"},{"index":4,"title":"Sigma İşareti ve Kullanımı","list":{"type":"unordered","items":["Sigma işareti toplam anlamına gelir ve önüne gelen değerleri toplar.","Sigma işareti, i değerinden başlayarak k olana kadar değerleri toplar.","Sigma işareti, dizinin belirli elemanlarını toplamak veya belirli elemanlara sabit değerlerle çarpıp toplamak için kullanılır."]},"beginTime":528,"endTime":869,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=528&ask_summarization=1"},{"index":5,"title":"Tartılı Ortalama Hesaplama","list":{"type":"unordered","items":["Tartılı ortalama, her elemanın ağırlığına göre çarpılıp toplamının, tüm ağırlıkların toplamına bölünmesiyle hesaplanır.","Formül: Tartılı ortalama = (t₁ × t₁ notu) + (t₂ × t₂ notu) / (t₁ + t₂)","Örnek hesaplamada, vize notu %30, final notu %70 ağırlığıyla hesaplandığında, 50 ve 52 notlu öğrenci 51,40 not alarak geçemez."]},"beginTime":869,"endTime":961,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=869&ask_summarization=1"},{"index":6,"title":"Ortalama Doğrulama","list":{"type":"unordered","items":["Bir seride serinin her elemanın ortalamadan farkının toplamı sıfıra eşittir.","Örnek olarak, 50, 60, 70 ve 80 notlu dört öğrencinin ortalaması 65'tir.","Her elemanın ortalamadan farkı (50-65=-15, 60-65=-5, 70-65=5, 80-65=15) toplandığında sonuç sıfırdır."]},"beginTime":961,"endTime":1035,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=961&ask_summarization=1"},{"index":7,"title":"İstatistik Sorusu ve Veri Tablosu","list":{"type":"unordered","items":["Soruda toplam frekans değeri 15 olan bir veri seti için aritmetik ortalama, kareli ortalama, geometrik ortalama ve harmonik ortalama değerlerinin hesaplanması isteniyor.","Veri seti, 15 öğrenci sayısına göre kiloya göre dağılımı ve kardeş sayısı olarak sınıflandırılmış.","Tabloda m (aralığın ortası), f (frekans) ve x (kayıt sayısı) değerleri yer alıyor."]},"beginTime":1057,"endTime":1171,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1057&ask_summarization=1"},{"index":8,"title":"Aritmetik Ortalama Hesaplama","list":{"type":"unordered","items":["Sınıflandırılmış serinin aritmetik ortalaması, tüm serinin frekans ve medyanın verilerinin birbiriyle çarpılıp toplanıp, frekansların toplamına bölünerek bulunuyor.","Hesaplamada 55×2, 65×8, 75×4 ve 85×1 değerleri toplanıp 15'e bölündüğünde aritmetik ortalama 67,67 olarak bulunuyor."]},"beginTime":1171,"endTime":1303,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1171&ask_summarization=1"},{"index":9,"title":"Kareli Ortalama Hesaplama","list":{"type":"unordered","items":["Kareli ortalama, medyanın karelerinin frekansla çarpımlarının toplanıp, eleman sayısına bölünerek bulunuyor.","Hesaplamada 55²×2, 65²×8, 75²×4 ve 85²×1 değerleri toplanıp 15'e bölündüğünde kareli ortalama 68,11 olarak bulunuyor."]},"beginTime":1303,"endTime":1448,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1303&ask_summarization=1"},{"index":10,"title":"Geometrik Ortalama Hesaplama","list":{"type":"unordered","items":["Sınıflandırılmış serinin geometrik ortalaması, serinin her elemanın frekansının logaritması ile çarpımının toplamının eleman sayısına bölümü olarak hesaplanıyor.","Hesaplamada 2×log(55), 8×log(65), 4×log(75) ve 1×log(85) değerleri toplanıp 15'e bölündüğünde logaritma değeri 1,83 bulunuyor.","Logaritma değeri 10 üzeri 1,83 olarak hesaplandığında geometrik ortalama 67,61 olarak bulunuyor."]},"beginTime":1448,"endTime":1557,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1448&ask_summarization=1"},{"index":11,"title":"Harmonik Ortalama Hesaplama","list":{"type":"unordered","items":["Harmonik ortalama, serideki tüm frekanslarının toplamının, serideki tüm frekansların medya oranlarının toplamına bölümü olarak hesaplanıyor.","Sınıflandırılmış serinin harmonik ortalaması, 284,41 değerinin 66,80'e bölünmesiyle bulunuyor.","Sıklık serisinin harmonik ortalaması, 9,33 değerinin 15'e bölünmesiyle bulunuyor."]},"beginTime":1557,"endTime":1670,"href":"/video/preview/4367069982493376318?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1557&ask_summarization=1"},{"index":12,"title":"Sonuç ve Karşılaştırma","list":{"type":"unordered","items":["Soruda bu değerlerin büyükten küçüğe sıralanması isteniyor.","Sınıflandırılmış veride aritmetik ortalama 67,67, kareli ortalama 68,11, geometrik ortalama 67,61 ve harmonik ortalama 6,80 olarak bulunuyor.","İki veri olduğu için sıralama yapılamadı, ancak değerlerin birbirine ne kadar yakın veya uzak olduğu fikir 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Video, 12. ünite olarak belirtilmiş olup, eğitmen diğer üniteleri de çözeceğini ifade etmektedir."]},"endTime":2193,"title":"İstatistik ve Olasılık Dersi: Normal Dağılım Ünitesi","beginTime":0}],"fullResult":[{"index":0,"title":"Normal Dağılım Kavramı","list":{"type":"unordered","items":["Normal dağılım, ortalama, medyan ve basıklık değerlerine sahip ideal bir dağılım şeklidir.","Normal dağılımda ortalama, medyan ve en çok rastlanan sayı aynıdır ve basıklık değeri 3'tür.","Standart sapma, ortalama değerden uzaklığı gösterir ve normal dağılımda ortalama değerden bir standart sapma uzağındaki değerlerin %68,20'si bulunur."]},"beginTime":44,"endTime":156,"href":"/video/preview/3796436993162318170?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=44&ask_summarization=1"},{"index":1,"title":"Normal Dağılımın Olasılık Fonksiyonu","list":{"type":"unordered","items":["Normal dağılım, bir olasılık fonksiyonu olarak düşünülebilir ve her noktada öğrencilerin bulma ihtimallerini gösterir.","Grafikteki her noktada bulunan ihtimallerin toplamı 1'e eşittir.","Normal dağılımda herhangi bir değerin olma ihtimali 0,5'tir çünkü dağılım ortalama değerle ikiye bölünür."]},"beginTime":156,"endTime":373,"href":"/video/preview/3796436993162318170?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=156&ask_summarization=1"},{"index":2,"title":"Z Değerleri ve Z Tablosu","list":{"type":"unordered","items":["Normal dağılımda standart sapma değerleri yerine z değerleri kullanılır ve bu değerler ortalamadan kaç standart sapma olduğunu gösterir.","Z tablosu, belirli z değerleri için ortalamadan o z değerine kadar olan alanın olasılığını verir.","Z tablosunda simetri vardır, yani z'nin -2 değeri için olan alan, z'nin 2 değeri için olan alana 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sorulmaktadır.","x=41 için z değeri -3'tür ve z tablosundan -3 değerine karşılık gelen alan 0,4987'dir.","Verilen toplam alan 0,7987 olduğundan, a değeri için kalan alan 0,30'dur ve z tablosundan 0,30 değerine karşılık gelen z değeri -0,84 ile -0,85 arasındadır."]},"beginTime":1311,"endTime":1438,"href":"/video/preview/3796436993162318170?parent-reqid=1765284902974794-468882945221298973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Bilelim+%C3%96%C4%9Frenelim&t=1311&ask_summarization=1"},{"index":8,"title":"Standart Sapma ve Z Tablosu Kullanımı","list":{"type":"unordered","items":["Interpolasyon yöntemi, oran orantı kullanarak tam değerleri bulmak için kullanılır.","Z değeri 0,85 olarak bulunmuş ve bu değer kullanılarak x değeri 52,55 olarak hesaplanmıştır.","Z tablosunu kullanarak z değerini bulup oradan x değerine ulaşmak 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