A normal distribution of scores has a variance of S2=100. Find the z-scores corresponding to each of the following values

Question

A normal distribution of scores has a variance of S²=100. Find the z-scores corresponding to each of the following values:

a.     A score that is 20 points above the mean.

b.     A score that is 10 points below the mean. 

Answer 1

Z = (X- MEAN) / S

So in (a) X - MEAN = 20

in (b) X - MEAN = - 10

so you can find Z now as you can calculate S