Answer
No, this approach does not regard the population of each state.
Work Step by Step
He should, at first, multiply the population of each state by its corresponding mean natural gas bill. After that, he should add all the 50 values and divide this summation by the entire U.S. population.
$\frac{Σ[state~population\times mean~natural~gas~bill]}{U.S.~population}$
