Question

The z-score tells you how many standard deviations about the mean a given data value is. Find the z-score in this situation:

Answer 1

Answer:

Z-score = -1.38

Step-by-step explanation:

The z-score measures how many standard deviations from the mean a data is

Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation

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

Where

μ is the mean, x is a data of the population and $\sigma$ is the standard deviation

In this case

$\mu = 15\ g\\\\\sigma = 1.6\ g\\\\X = 17.2\ g$

Then the z-score is

$Z = \frac{15-17.2}{1.6}\\\\Z = -1.38$