Symetrical skis

You can ski switch a little better.

symmetrical-ski switch better, some skis have symmetrical flex with shape, helps with tricks in both directions
asymmetrical- ski forwards better, carve better, most have different flex patterns, handles all-mountain terrain

Symmetrical skis usually also have a lower swing weight because of the equal weights in both the tip and tail

okay thanks for the information

And lower swing weight, usually, because of the dead center mount.

I still maintain that the difference between near symmetrical skis and true symmetrical skis is barely noticeable if the other specs of the ski are held constant. I'd even say that near symmetrical skis are a bit better just due to the fact that I'm not usually riding switch 50% of the time on snow, and also consider the fact that your center of gravity and way you initiate turns is completely different when going switch vs forwards (and enter here the huge argument as to whether the symmetrical ski helps or hurts this, another time).

switch riding is easier, if you center mount

personally i really like symetrical shape/flex.. but i think its really just your opinion, i wouldnt wanna ride anything but symmetrical in the park but thats just me