Question

A normal distribution has a mean of 75 and a standard deviation of 15.
Determine the z-score for the data value of 85.

Answer 1

0.67

1) Given that we've got the following data:

$\mu=75,\sigma=15,X=85$

We can plug them all together into the Z score formula:

$Z=\frac{X-\mu}{\sigma}=\frac{85-75}{15}=\frac{10}{15}\approx0.67$

Thus, the Z-score is 0.67