Question

negative z - score always represents a score __________ the mean in a distribution.

equal to

less than
greater than
to the right of

Explanation:

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. When $z<0$, then $x-\mu<0$ (since $\sigma>0$), which implies $x < \mu$. So a negative z - score represents a value less than the mean.

Answer:

B. less than