سلام عليكم استاذ ممكن اسأل لماذا نقسم على n-1وليسn في الانحراف المعياري وشكرا وجزاك الله كل خير
@ElhosseiniAcademy8 ай бұрын
dividing by n−1 when calculating the sample variance or standard deviation provides an unbiased estimate of the population variance and accounts for the loss of one degree of freedom due to the estimation of the mean from the sample itself.
@ElhosseiniAcademy8 ай бұрын
Unbiased Estimator: When we estimate the variance from a sample, we are using the sample mean, not the true population mean. The sample mean is closer to the sample values than the population mean, which tends to underestimate the variance if we were to divide by n. Dividing by n−1 makes the variance estimator unbiased, meaning that on average, it correctly estimates the population variance.
@ElhosseiniAcademy8 ай бұрын
Degrees of Freedom: The concept of degrees of freedom comes into play here. When calculating the variance, we use the sample mean as an estimate of the true mean. This estimation consumes one degree of freedom, leaving us with n−1 degrees of freedom for estimating variance. Essentially, one of the n values is not independent since it's determined by the other n−1 values and the sample mean
@MohamedGamal-pj6wd3 жыл бұрын
باقى السلسله غير متاحه يا هندسه
@ElhosseiniAcademy3 жыл бұрын
هافتحها لك ما تقلقش ياغالي... بس انتظرني لترتيب العرض فقط
@PsychologyLaboratory Жыл бұрын
بعد اذنك يادكتور مش المفروض نجيب انحراف كل القيم عن المتوسط الاول وبعدين نربعها واحنا بنجيب الانحراف المعياري , لان حضرتك ربعت القيم علي طول ,