A simple method is derived for combining the results from m groups of
paleomagnetic directions or poles where the groups may have widely dif
fering numbers and where the resultant vectors for the individual grou
ps are not known. Numerical experiments with Fisher distributions show
that, given a reasonable number of group means, surprisingly reliable
values for R can be obtained even if the group precisions vary widely
. An important advantage of this method is that one does not have to c
onsider whether each group by itself is sufficient to average secular
variation. Even a single VGP can be included as one of the groups, As
an example the method is applied to combining the Cretaceous poles for
North America.