How to create a weighted average for the following data?

I am trying to create an average of the 'average' column below located in my Avg structure (Avg.average, Avg.population, etc). However, each 15x15 Avg.average array is not weighted the same, how would I average these to include the weights of the 'population' field (seen below) and output a single 15x15 array?

Answer 1

[James Tursa]

One way:

result = sum(bsxfun(@times,reshape([Avg.population],1,1,[]),reshape([Avg.average],15,15,[])),3)/sum([Avg.population])

Or in pieces that are easier to follow:

p = [Avg.population];
a = [Avg.average];
p3d = reshape(p,1,1,[]);
a3d = reshape(a,15,15,[]);
result = sum(bsxfun(@times,p3d,a3d),3)/sum(p);