on a standardized exam, the scores are normally distributed with a mean of 55 and a standard deviation of…

Explanation:

Step1: Recall z - score formula

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

Step2: Identify values

We are given that $\mu = 55$, $\sigma=10$, and $x = 36$.

Step3: Substitute values into formula

$z=\frac{36 - 55}{10}=\frac{-19}{10}=-1.9$

Answer:

$-1.9$