Weighted Mean
المؤلف:
المرجع الالكتروني للمعلوماتيه
المصدر:
المرجع الالكتروني للمعلوماتيه
الجزء والصفحة:
...
18-7-2019
1776
Weighted Mean
The weighted mean of a discrete set of numbers ![<span style=]()
{x_1,x_2,...,x_n}" src="http://mathworld.wolfram.com/images/equations/WeightedMean/Inline1.gif" style="height:14px; width:87px" /> with weights ![<span style=]()
{w_1,w_2,...,w_n}" src="http://mathworld.wolfram.com/images/equations/WeightedMean/Inline2.gif" style="height:14px; width:93px" /> is given by
 |
(1)
|
where each weight 
is a nonnegative real number and
 |
(2)
|
For a continuous set of numbers 
parameterized by the variable 
defined over the set 
and a weight distribution 
also defined over 
with 
nonnegative for all 
and
 |
(3)
|
the weighted mean of 
is given by
 |
(4)
|
Weighted means have many applications in physics, including finding the center of mass and moments of inertia of an object with a known density distribution and computing and electric and magnetic multipole moments of charge and current distributions, respectively.
Weighted means are also commonly used in statistics, for instance, in population studies.
الاكثر قراءة في التفاضل و التكامل
اخر الاخبار
اخبار العتبة العباسية المقدسة
