Equation for Set of average values

Equation for Set of average values

Postby Guest » Sun Mar 10, 2013 12:40 am

Hello everyone

I need help to write an equation. I know about about the half part of equations.

[tex]\sum_{i=1}^{n } T_i/n[/tex]

This equation will give the average value in one interval. This equation is considered as first value. So to write an equation which will represent set of multiple values. What things will I need to add this equation ?
Guest
 

Re: Equation for Set of average values

Postby shyamjayakannan » Tue Mar 03, 2026 3:22 pm

Let there be [tex]p[/tex] sets of values whose average we want and let [tex]T_{i,r}[/tex] denote the [tex]r^{th}[/tex] element of set [tex]i[/tex]. Also, let [tex]n_i[/tex] be the number of elements in set [tex]i[/tex].

Now, the average of all the values in set [tex]i,a_i=\frac{1}{n_i}\sum_{r=1}^{n_i}T_{i,r}[/tex]

So, the average of values in all sets [tex]=\frac{1}{p}\sum_{i=1}^pa_i=\boxed{\frac{1}{p}\sum_{i=1}^p\frac{1}{n_i}\sum_{r=1}^{n_i}T_{i,r}}[/tex]

shyamjayakannan
 
Posts: 114
Joined: Sun Feb 02, 2025 12:23 pm
Reputation: 136


Return to Equations



Who is online

Users browsing this forum: No registered users and 6 guests