Need adult brain cell help with council tax

Hi everyone, Graduated this year and still getting my head round things like tax. I finished my course in early June, and leased a 5 bed house in Twerton, Bath until 27th July with 4 other students (5 total). I’ve just received a letter detailing I need to pay £212.35 in council tax. This seems like a lot of money for one person- I only would have been legible to pay for 2 months, although I’m waiting to hear if my other housemates have received a letter too.

I’m posting as to ask: Does this seem like too much money or does it seem right? I can’t seem to see online.

Is it likely I’ve been billed for the whole house, and all the other tenants as well?