The overall number of synapses in the human brain is roughly 1,000 trillion, i.e. 10,000 synapses per neuron.
I assume that each structural type of neuron (basket, pyramidal, ...) has a somehow characteristic average number of in-coming and out-going synaptic connections, i.e. not every type of neuron will have the same roughly 10,000 in-coming and 10,000 out-going synaptic connections.
I am looking for a thorough overview of these characteristic numbers by structural type.
Ideally as a link to an existing resource, but if someone with a good overview over the literature would take the effort to compile such an overview (like user another 'Homo sapien' thankfully did in his answer to The human brain in numbers I: neurons), it would be even greater.
What's for sure: such an overview will be a) not complete and b) only estimates, so don't worry about that.