Question

The average show stays on Broadway for 2.4 years with a standard deviation of 1.5. What is the z-score of a show that runs for 2.7 years on Broadway

Answer 1

Z-scores are expressed in terms of standard deviations from their means. The standard score is simply the score, minus the mean score, divided by the standard deviation. It is calculated as follows:

z = X- mean / standard deviation
z = 2.7 - 2.4 / 1.5
z = 0.2