Question

the number off standard deviations between a score and the mean score indicated by a z-score. what was Cindy's z-score on the science test

Answer 1

Z score of 0 gives you the mean for the problem;  The mean μ is 70 Now you can use this value of the mean in the definition of z score for the second case and find the standard deviation. Z score is the number of standard deviations away from the mean.  Therefore σ = (1)(74-70) = 4.