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=(X-\mu)/(\sigma)=(85-75)/(15)=(10)/(15)\approx0.67`

Thus, the Z-score is 0.67