<p>One addition to my post above. When I hear people talk about statistics they always seem to assume some discrete population of data, like a political poll or a medical trial. There is also a whole other world of continuous value statistics out there, with things like correlation and convolution (yes, I know these also have meaning in the discrete world). </p>
<p>These ideas are very important in signal analysis. Maybe not many other places, but it does exist.</p>