Question

A normal distribution has a mean of 103 and a standard deviation of 2.7. What is the z-score of 105?

Answer 1

Answer:

z-score = 0.741

Step-by-step explanation:

The provided information are:

Population mean $(\mu)$ = 103

Population standard deviation $(\sigma)$ = 2.7

Score (X) = 105

The formula to calculate the z-score is:

$z=\frac{X-\mu}{\sigma}$

The z- score can be calculated as:

$z=\frac{X-\mu}{\sigma}\\z=\frac{105-103}{2.7} \\z= 0.741$

Hence, the z-score is 0.741.