Given the probability function....?

Question

P(x) = 4-[x-5] / 16 for x= 2,4,6,8,10 ([these show absolute sign] )-. Find the mean and sd. I want to figure it out for myself, I just can't get started.

Answer 1

Numerators are
4-|2-5|=1
4-|4-5|=3
4-|6-5|=3
4-|8-5|=1
4-|10-5|=-1

Data:
1/16, 3/16,3/16,1/16, -1/16

mean=7/(16*5)=7/80

you may excel for sd.