Suppose you did a survey of male shoes size and the mean of that survey was size 10 with a standard deviation of 1.5. what is the z-score of a size of 11?

Given:
Population mean,  μ = 10
Population standard deviation, σ = 1.5
Random variable, x = 11.

By definition, the z-score is
z = (x - μ)/σ
   = (11 - 10)/1.5
   = 0.667

0.667