I prefer using the Dragon Battleaxe. It hits hard, isn't that slow, you can train attack, strength and defence with it and it uses only one hand.

In what situation?

For training, I would use the Dragon Scimitar, as it can train all four skills and is the fastest weapon in the poll that can do so.

For PvP, I would use the Dragon Battleaxe, as it can hit very high (even if it slower than the scimitar and the whip).

Whip.

Hit's hard and fast.

However, if I had to pick a Dragon weapon, I'd say Dragon Longsword, not much slower than Dragon scimitar, higher accuracy, hit's more and a better special attack.

I would prefer a Saradomin Sword, although it's a bit expensive.
It's the only 2H weapon that's fast and powerful at the same time.

Out of the choices though, I would pick the whip.

I would pick whip as my everyday weapons because I could just go to controlled xp for strength and it still gives fairly good xp so whip ftw!

Abbysal Whip is a lot better than the other 3.

Granite Maul. It hits high (16-highest I've hit, I've been hit harder tho) and I enjoy smashing people with a brick on a stick.

Read the question again.

Dragon 2h simply cuz it was my first real members weapon... Had it for years, still use it.

I love the hits I can get with a dragon 2h, and it looks cool too, but I voted for the whip - it's so much faster, thus making it more effective IMO.