Hi there. I was skimming the site looking for led light comparisons when I came across this thread. I figure I could try to help offer some assistance. I am a Troubleman/Lineman for a large utility company in California and would say I'm somewhat experienced on the electricity side of what could cause some problems like this.
Electric shock issues are difficult to troubleshoot as sometimes they come and go and sometimes the customer can't replicate the situation but it's a serious matter and I don't dismiss it. A normal voltmeter with two leads is not my tool of choice to begin this investigation. It is a pen tester. The pen tester requires no ground wire to detect voltages and can easily detect stray voltages. There's two different kinds of these testers also and they only vary by sensitivity. One has to make contact to indicate the presence of voltage and the other just has to be in the proximity.
Klein Tools makes a dual range model but I honestly haven't used this. I wouldn't spend a fortune and would get one that went down to the lowest voltage for this particular application.
As for the cause...I typically find things are mis-wired in the home. For example: A receptacle is replaced in a home that has the old two wire (1 hot, 1 neutral). When the receptacle is replaced it is assumed the side with the larger opening is the 120v leg. I usually see a jumper between the ground terminal and neutral side (which will be energized now). This could last forever undetected as a lot of appliances and televisions will work just fine like this. CATV man comes out next and installs an new converter box because the other one quit working after several months and per code now he has to attach a bonding wire between his point of service and the house. A good CATV tech should be checking voltage here but I've seen some slip by. What's happening is the three wire plug is grounded to the case of the converter box and so is the connection for the coaxial cable. If there's not a good ground at the panel then it will find the next best location which is usually a metal water pipe. By good ground, I mean the connection between earth and the panel. Code in my county requires 2- ground rods installed when an electric panel is installed or upgraded in addition to bonding the gas, ufer and other metal things depending on building type.
The second issue I see can be either a utility responsibility or customer responsibility. High voltage is run to a transformer that induces coils to step down the voltage to a lower level. Typically 120v/240v for 99% the U.S. You will have a 3 wire service if this is the case. If your supplied with an overhead conductor then you could have two black wires and one bare wire that are sort of twisted together. We call this tri-plex but you could have bare unwrapped wire (open wire), insulated open wire or be serviced from underground in which you will have a 3 wire underground triplex. You will have two hot legs and one neutral. The voltage measuring from neutral to each of the hot legs should be between 114v - 126v. The voltage measuring between the two hot legs should be between 228v - 256v. Anything outside this is considered high or low voltage by standards set by organizations overseeing the utility operations (PUC). Notice we do not deliver a ground to the home. The purpose of the neutral is to complete the circuit and carry current back to the substation. Neutrals normally have no voltage on them until you break the path. So if you have a light bulb and supply it with a 120v black and a neutral and turn the light on then your happy your new light works. If you cut the white wire while the light is off then nothing happens. If you cut the black you could get shocked. If you turn the light on and cut the white then its going to spark and you'll probably end up getting shocked as well. The neutral on a 120v/240v service also balances the voltage. If you have a bad neutral connection anywhere between the utility and device needing power the result is dimming lights, appliances that bog down and can be as extreme as things catching on fire. I mentioned before two hot legs. As you draw current on one leg, if you have no return path for current then the voltage on the other leg will become higher. I've seen it over 190v many times...meanwhile the 240v Air Conditioner is running without a hitch. You can test this with a microwave. Put a glass of water in and either use a tester at the panel or just watch the lights. Led's are usually not dimmable so an incandescent or flourescent is better if your watching this. You can also listen to an oscillating fan or just simply call your utility out if you suspect any problem. If your house has a bad neutral and your house ground is not making a good connection then you will have leaking voltage into anything you house is attached to that can conduct electricity.
Third issue could either be a bad underground utility service or possibly some underground wiring that the neighbor has. If your house is newer then your service is in PVC Conduit and there is more than likely no issue. Some older homes can have conductors in steel conduits or even direct bury. Trees and rocks can cause nicks in the insulation and cause the introduction of moisture to the line which ultimately will cause the conductor to fail. If you have nice sandy soil then it makes for a good insulator for a while and it will sit and cool the aluminum conductor to chalk and causing stray voltages to enter the earth. It's going to have to be decently close. 120v isn't going to travel 20' to the pool but i've seen people getting shocked 5' away from a bad conductor on a 30A future RV circuit going directly to ground. It was only pulling 20A. Sorry for being a bit lengthy and ill just give a synopsis of what i would do.
-If you think its a Utility or you have a neutral problem (dimming lights, appliances chugging) call the utility immediately and explain that you have hi/low voltage. That's not one or the other, its both.
-If its not the utility then look at any new work that has been done inside like the CATV box reference I brought up
-Buy a pen tester and see if it shows the presence of voltage. If so, start with the main breaker. If it doesn't go away and you have a neighbor close ask if they would kindly shut off their main breaker. Make sure the main breakers actually shut off. Some older breakers are faulty internally and one leg is stuck closed
-Look at your location. Is there anything that might be buried around the area. This could be a high voltage line between two transformers, a service to a street light or some old wiring to a hot tub or RV receptacle. You can call in an Underground Service Alert (USA). In California its free by calling 8-1-1. Best of luck to finding the problem.