Question

A set of data items is normally distributed with a mean of 80 and a standard deviation of 7 Convert 80 to a z-score.

Answer 1

Explanation:

We are to convert the given data to a z-score

To do so, we will use the formula:

$\begin{gathered} z=\frac{x-\mu}{\sigma} \\ \end{gathered}$

Where

$\begin{gathered} x=observed\text{ value=80} \\ \mu=mean\text{ score=80} \\ \sigma=standard\text{ deviation=7} \end{gathered}$

Thus

$\begin{gathered} z_{80}=\frac{80-80}{7}=\frac{0}{7}=0 \\ z_{80}=0 \end{gathered}$

The z-score is 0