Measure of representativeness

#1
Suppose I have

State | Sample | Population
s1 | n1 | N1
s2 | n2 | N2
.. | .. | ..

Is the correlation between (n1 n2 ..) and (N1 N2 ..) a good way to measure the representativeness of the sample? Or are there other standard way to quantify this?

Thanks you,
diodoo