Question

Calculate the Z score Round answer to two decimal places

Answer 1

Given:

mean = 49.6

standard deviation = 6

x = 48.2

Recall that the formula for the z-score is

`\begin{gathered} z=(x-\mu)/(\sigma) \\ \text{where} \\ \mu\text{ is the mean} \\ \sigma\text{ is the standard deviation} \end{gathered}`

Substitute the given values and we get

`\begin{gathered} z=(x-\mu)/(\sigma) \\ z=(49.6-48.2)/(6) \\ z=(1.4)/(6) \\ z=0.23333... \end{gathered}`

Rounding the answer to two decimal places, z = 0.23.