Question

detras score on the stats midterm was 76 points. the class average was 81 and the standard deviation was 5 points. what was her z - score?

Explanation:

Step1: Recall z - score formula

The formula for the z - score is $z=\frac{x - \mu}{\sigma}$, where $x$ is the individual score, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We are given that $x = 76$ (Detorah's score), $\mu=81$ (class average), and $\sigma = 5$ (standard deviation).

Step3: Substitute values into formula

$z=\frac{76 - 81}{5}=\frac{- 5}{5}=-1$

Answer:

-1