Question

Is the z score corresponding to a number or score below the mean always negative?

Answer 1

Answer:

Yes

Step-by-step explanation:

The z-score corresponding to a number or score can be calculated using:

$z = \frac{x - \mu}{ \sigma}$

Where x stands for the individual scores, and

$\mu$

stands for the mean.

Since

$x \: \: < \: \mu$

for all numbers or scores below the mean, the difference will always be negative these values below the mean.

This will always result in a negative z-score for all numbers below the mean.