The average life span of a cat depends on whether it is a domesticated, partly domesticated, or feral animal.
The lifespan of a domesticated cat is somewhere between 9-20 years; the average is about 15 years. How long a cat lives depends on its diet, its access to quality healthcare, and its lifestyle habits. Aside from this, a strong hereditary tendency to longevity can also contribute to longer life spans for some cats. Indeed, there are examples of domesticated cats living longer than 20 years.
On the other hand, a partially domesticated cat (used to living indoors and outdoors) may not last the average 15 years due to traffic accidents, fights with other cats or animals, diseases, and unintentional poisoning (either from ingestion of poison or dangerously contaminated food). Feral cats have even shorter life spans due to stronger susceptibility to danger and disease.
Here are the lifespans of basic, popular, domesticated cats: The Average Life-Span Of A Cat: Breed by Breed Chart.
Aside from these cats, the Big Cat or Great Cat family consists of tigers, lions, cheetahs, jaguars, cougars, panthers, etc. Jaguars, for instance have a life span of 12-15 years in the wild. Tigers may live as long as 26 years in the wild, while lions may live up to 12 years in the wild. Panthers can live up to 12 years in the wild, and up to 20 years in captivity. You can access big cat lifespans here.