Given:
mean = 49.6
standard deviation = 6
x = 48.2
Recall that the formula for the z-score is
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ \text{where} \\ \mu\text{ is the mean} \\ \sigma\text{ is the standard deviation} \end{gathered}[/tex]
Substitute the given values and we get
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ z=\frac{49.6-48.2}{6} \\ z=\frac{1.4}{6} \\ z=0.23333... \end{gathered}[/tex]
Rounding the answer to two decimal places, z = 0.23.
