I was asked about this a day or two ago, in my (apparent) capacity as expert on both Daleks and Jedi...and while it may be egotistical of me, I thought that people might be interested in my response. In a battle between a Dalek and a Jedi, who would win?
The specific question I was asked to weigh in on at first was, "Would a Dalek be affected by a Jedi's telekinesis?" This seems like a pretty good place to start, as telekinesis is one of the best weapons in a Jedi's arsenal. (Which brings up the question of why they never use it in lightsaber duels, but I'm willing to handwave that away with the assumption that equally matched Jedi either keep each other too busy with lightsaber attacks for either to bring to mind the requisite TK focus, or equally matched Jedi can block each other's telekinesis through some sort of non-visually-discernable means. I bring this up to demonstrate that I can BS with the best of them.)
The answer, I felt, is that yes, Daleks are somewhat vulnerable to Jedi telekinesis. Not totally--I think a Dalek's armor/force field, generally demonstrated to be proof against most projectile weapons, is too tough to be crushed or warped by a Jedi's telekinetic powers. Likewise, Jedi abilities have never been shown to be able to work through solid objects, so the Kaled mutant inside is probably safe from having its life-support tubes yanked out or something similar. But could a Jedi knock a Dalek over, or spoil its aim by moving the gunstick around? Yes.
Which is probably a good thing, because Dalek weaponry is generally portrayed as being not a cutting beam or a projectile, but a packet of energy that "detonates" on contact, creating a disruptive (or possibly explosive) effect that scrambles internal organs and bursts cells. In other words, the Jedi tactic of batting aside blaster bolts would be about as effective as using a baseball bat to deflect a Molotov cocktail. The first Jedi to fight the first Dalek would probably be in for a nasty surprise.
The second one, though, would probably fare better. Telekinesis could keep the Dalek's gunstick pointing in the wrong direction (or spin the Dalek's middle section around to face away) long enough for the Jedi to get into lightsaber range...and lightsabers, traditionally speaking, have been shown to be able to cut through anything. (We could argue the strength of the force-field at the lightsaber's core versus the strength of the force-field surrounding the Dalek (as exhibited in 'Doomsday', natch) but it'd be a moot point. There's not enough evidence to judge, and writerly fiat would trump real-world physics here.) So basically, the Jedi could slice up the Dalek like a layer cake, albeit a large one with a very hideous exotic dancer inside.
So the answer is ultimately "yes". After a particularly hideous casualty to serve as a tactical lesson, a Jedi could take on a Dalek. The only problem is...there's very rarely just "a" Dalek. The Dalek philosophy tends to be, "Why send in a Dalek when you can send in two thousand Daleks to do the same job?" They're also not shy on using strategies that involve expendable Dalek troops. So after the first few Daleks bite it, the Daleks are either going to attack in numbers too massive for the Jedi to deal with, or they're just going to start self-destructing whenever a Jedi gets close to them and banking on the fact that they have more Daleks than the Jedi do Jedi. ("Jedi Do Jedi" is, of course, a fanfilm that Lucas came down pretty hard on with the cease and desists.)
If you want, you can factor in the Jedi Mind Trick, but let's face it--the Jedi Mind Trick never works in the big fights. In 'Feng Shui' terms, it succeeds against unnamed characters only. Random Dalek that you have to distract so that you can sneak past? Weak-willed. Angry Dalek exploding six inches away from you? Bad news for the Jedi.
Ultimately, I think that the Daleks would win through overwhelming force, which is pretty much did in the Jedi order last time, too. Be fun to watch, though.