Question

distribution of exam scores is transformed into z - scores, what z - score value will represent the mean?
1
cannot be determined
0
the mean will remain the same

Explanation:

Step1: Recall z - score formula

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

Step2: Substitute mean value for $x$

When $x = \mu$ (i.e., we are finding the z - score for the mean), then $z=\frac{\mu-\mu}{\sigma}=\frac{0}{\sigma}=0$.

Answer:

C. 0