Question

SAT scores were originally scales so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. What would be the z-score corresponding to a student who gets a section score of 680?

a. 6.8
b. 1.8
c. 0.59
d. 1.16​

Answer 1

Explanation:

Z-score is calculated by the following formula:

Z = (X-mu)/sigma

where

X = data value

mu = mean

sigma = standard deviation

Given:

mu = 500

sigma = 100

X = 680

Z-score = (X-mu)/sigma = (680-500)/100 = 180/100 = 1.8