Which Gives A Good Ranking Blog.Website.Com or Website.com/Blog

 I don't need to explain that blog.website.com takes a lot of domain in ranking as compared to website.com/blog because Google takes blog.website.com like a new domain.

The best example is of Moz. They have a website Moz.com as well as a blog Moz.com/blog. Always make a blog in a subfolder, not in a subdomain. Some websites make a mistake, but you shouldn't.