If you keep it simple, though, the average cost of a cremation, including a basic memorial service, runs about $1,600. If you go for a so-called direct cremation, without a memorial service, the cost can drop well below $1,000. Go online and you can find prices as low as $600 or so.ut the main reason, as you might expect, is cost. Cremation is cheaper than burial. The average cost of a funeral today is about $6,500, including the typical $2,000-or-more cost of a casket.