Average function without overflow exception

Question

.NET Framework 3.5.
I\'m trying to calculate the average of some pretty large numbers.
For instance:

using System;
using System.Linq;

class Program
{
           


        

Answer 1

Let Avg(n) be the average in first n number, and data[n] is the nth number.

Avg(n)=(double)(n-1)/(double)n*Avg(n-1)+(double)data[n]/(double)n

Can avoid value overflow however loss precision when n is very large.