A pyramid shaped age distribution is the shape of the graph constructed for age illustration when the population is growing when arranged in order of their age.
Endangered species are the one that have a high probability to become extinct in the near future and the recovery plans of the conservation biologists are focused to preserve these species and help them to grow and survive.
Therefore, if the endangered species are taken under a recovery plan, one would expect to find a pyramid shaped age distribution as the population would steadily grow.