NoVAR: I have both the Nikon 10-20 and the 10-24. I just got the 10-20, but so far it has been a decent lens.
It is way lighter than my 10-24 because it is mostly plastic.(Yeah I know people would rather have metal, but I have e a huge respect for high-tech polymers, witness the polymer guns such as Glocks etc, because you can mold a part cheaper than machining out of metal). So if you don't need the F/3.5 of the 10-24, you should seriously consider the F/4.5 10-20, this is ~2/3 stop.
BTW a caveat, the 10-20 is the newer AF-P design, and may not function with older D-Nikons, so if you have older Nikons like D3xxxx, D5xxx, D7000 double check for compatibility. And on D5200 you will need to upgrade the firmware(this was really easy to do, if you have a laptop/desktop computer, don't know about smart phones) for AF-P lenses.