I've had low BP for as long as it's been measured, and the dizzyness when standing up etc. is a typical consequence. I can also get that when I stop exercising suddenly, which causes a dip in BP. Trafic lights at the top of a hill are a good place for that.
Despite it being well documented on my medical notes it still causes surprise among nurses and others that someone with CHD and a few other things has low BP and below average RHR. The response, apart from a couple of people who I see regularly, is always "but people with your conditions always have high BP and RHR".
As far as I can work out the issue is really that the majority of the population is unfit and lacking exercise, so that the typical measurements that medical people see are in fact those of people who are only healthy in the sense that their poor physical state hasn't damaged them yet!
It was made very clear to me 3 years ago that the reason I was alive and reasonably well was that I was much fitter and stronger than most of the population (and that's down to cycling and little else!) which only says to me that most people are in very poor shape, because by my standards I was unfit and out of condition at the time.
To all those above whose BP, RHR etc. are below average I'd say good on you - you're the ones whose bodies are the way they should be, not the rest of the sample making up the average, and if you have heart or other problems you're likely to be much better off than the sedentary, inactive, and unfit majority would be with the same problems! (Unless of course the paramedic tries to defibrillate you, as ColinJ fears!).