The scores of an eighth-grade math test have a normal distribution with a mean = 83 and a standard deviation = 5. If Din’s test score was 92, which expression would she write to find the z-score of her test score?

z score is used to determine the probability of finding  a certain value given the standard deviation and the mean of a normal distribution. In order to determine the value of the z score, the formula to be followed is z = (value-mean)/SD. substituting, z = (92-83)/5 = 1.8