Question from a movie "Captain America: Civil War"
Scene:
Peter Parker and Tony Stark are talking in Peter's room for the first time. Tony is trying to get him to join the team.

Tony: As walnut date loaves go, that wasn't bad. Whoa, what do we have here? Retro tech, huh? Thrift store? Salvation Army?
Peter: Uh, the garbage, actually.
Tony: You're a dumpster diver.
Peter: Yeah, I was... Anyway, look, um, I definitely did not apply for your grant.
Tony: Ah-ah! Me first.
Peter: Okay.
Tony: Quick question of the rhetorical variety. That's you, right? (showing him a youtube video of spider man swinging)
Peter Parker: Um, no. What do you. What do you mean?

What does Tony mean by "rhetorical variety"?

Question

Question from a movie "Captain America: Civil War"
Scene: 
Peter Parker and Tony Stark are talking in Peter's room for the first time. Tony is trying to get him to join the team.

Tony: As walnut date loaves go, that wasn't bad. Whoa, what do we have here? Retro tech, huh? Thrift store? Salvation Army?
Peter: Uh, the garbage, actually.
Tony: You're a dumpster diver.
Peter: Yeah, I was... Anyway, look, um, I definitely did not apply for your grant.
Tony: Ah-ah! Me first.
Peter: Okay.
Tony: Quick question of the rhetorical variety. That's you, right? (showing him a youtube video of spider man swinging)
Peter Parker: Um, no. What do you. What do you mean?

What does Tony mean by "rhetorical variety"?

Answer

A rhetorical question is a statement that is in the FORM of a question, but the speaker isn’t really looking for an answer but instead is using the “question” to state or suggest a fact.  Example:  “Are you crazy?” — not really a question, but rather a way of saying “You are acting crazy.”  Or, a politician says “Can we trust my opponent to run the country?” — not really a question, but rather a way of saying “We can’t trust him to run the country.”  Here, Tony is asking a question “That’s you, right?” — but really he is making a statement of fact “That IS you — don’t bother denying it.”

Answer

thank you so much for your help!!

Answer

Hello! He means that the 'quick question' is 'rhetorical' (it doesn't require an answer). 
(The word rhetorical is a bit nonsensical here because it seems he does want an answer.)

So you could say 'a story of the funny variety' which would mean a funny story. 
Or 'a dog of the hairy variety' which would mean a hairy dog.

Phrasing a sentence like this is light humour I would say. 
I hope that helps and makes sense!