Question 974386
mean=70 
sd=15
>80 is >z=0.67   ;;0.253
45 or less is -1.67 sds or 0.0475 
between 52 and 90 is sd -1.2 to sd 1.33  or about 0.794
It is about 1.04 sd or 15-16 points above the mean.  That would be an 85,86.
It is about -1.475 SDs or about 22 points below the mean, or a 48.

These may be off slightly due to interpolation, but the idea is (score-mean)/sd = z -score