The weight of a ski can definitely have an effect on your skiing, but don’t let it dictate what you pick. I will tell you that any weight difference under 100g is not worth considering — that's literally 5 slices of Juicy Fruit. It’s not going to change anything except in your head. Here are some good benchmarks for weight (single ski, no bindings):
Less than 1,600g — Light as hell.
1,600-1,800g — Light
1,800-2,100g — Normal
2,100-2,300g — Little beefier
More than 2,300g — Race skis
As you can see, this entire scale only spans 700g so really don’t sweat this too much. Of course, lighter will be easier to move, but a heavier ski tends to handle better in the crud. It’s your personal choice for where you want to draw that line.
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FACTORS TO CONSIDER: There are 5 things you need to consider when picking out a ski. Remember, these are aspects you need to decide - not your buddy who tells you stuff. Sure, take it into consideration, but remember you are buying for you, not them.
FACTORS TO NOT CONSIDER: Just as important are the things you SHOULD NOT consider when picking a ski. In my experience, with all the things to think about, I would worry about these the least.