A couple of years ago my workplace was running one of those guess-the-number-of-jellybeans-in-the-jar competitions. I don't even like jellybeans all that much, but nonetheless, I held aloft my nonmagic calculator and said "by the power of Galton!" Taking the mean of all the previous guesses, I put that down as my answer. I was out by one bean, and won the jar. I don't think my colleagues have ever been so interested in statistics as they were that afternoon, and I doubt they ever will be again.
I'm going to admit something a bit silly and embarrassing now: that made me feel like a wizard. Not because of the scope of what I'd done, since it was an utterly trivial piece of arithmetic, but because of the reaction it got. I had drawn on arcane lore unknown to my colleagues, and used it to exercise power over the world.
Personally, I think something like solid state semiconductor technology is about as impressive a real-world miracle as one could ever want by way of demonstrating the whole Science Works/Rationality Is Systematised Winning/Maths Has Manifold Real-World Applications thing, but for most people it will never have the impact of intentionally winning a jar full of jellybeans.
So I ask you, LW-readership: what other impressive nonmagical powers do we have, that we can casually demonstrate to everyday people in everyday circumstances?
There are gullible people. Here is a list of the powers I have had attributed to me by more than single individual or group and their mundane causes:
Flight. On occasion, I have arrived at destinations faster on foot faster than people in cars trying to arrive before me. This is simply a function of knowing my route and making accurate time estimates.
Raffle fixing. Several times I have manipulated raffles by waiting until the final opportunity and bidding on the under-valued prizes, or by calculating the value of the prizes and the number of tickets I would need to have a good chance at making a profit.
Jellybean counts. (as in original post)
Baby telepathy. Treat a baby like an adult or a friendly alien explorer who has yet to learn our language. Do not treat babies like dolls or inanimate objects. Babies have relatively few wants and needs and are easy to satisfy and teach.
Telepathy. Observation.
Fortune-telling. Accurate predictions.
Photographic memory. Not even close to true. Order your world according to relevant attributes and memories will be more easily accessed.
Speed reading. Nope. Practice and concentration.
Sadly, many observers would rather accept supernatural explanations.
Speed reading doesn't seem to fit the supernatural pattern.