This paper considers the standard error of the estimate of the mean of
a spatially correlated variable in the case where data are obtained b
y a process of random sampling. Two distinct mean estimation problems
are identified: estimating the area mean and estimating the population
mean. Methods are described for obtaining standard error estimates in
the two cases and, within the limits of publicly available informatio
n, the methods are implemented on average household income data at the
census tract scale for Syracuse, New York. The purpose of the paper i
s to draw attention to issues of data precision in relation to sampled
geographic information on averages and in particular to consider the
problems of estimating standard errors using such data. The paper also
examines the extent to which standard errors vary between census trac
ts.