Question

A researcher collected the heights of male seniors at a high school. The data collected are normally distributed with a mean of 70.21 inches and a standard deviation of 1.35.
What is the z-score of a high school senior who is 68 inches tall?

Enter your answer rounded to the nearest hundredth, like this: 4.23

Answer 1

Z = (x-μ)/sd

Z = z-value
x = observed value
sd = standard deviation

Z = (68-70.21)/1.35
Z = -1.64 (this is below mean average)