Question

A set of data items is normally distributed with a mean of 240 and a standard deviation of 32. Convert 336 to a​ z-score.

Answer 1

Answer:

$z=3$

Step-by-step explanation:

Given:

Test score of the sample, $x=336$

Mean of the normally distributed sample, $\mu=240$

Standard deviation of the sample, $\sigma=32$

Therefore, the $z$-score for a normally distributed sample is given as:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{336-240}{32}\\\\z=\frac{96}{32}=3$

So, the z-score of the given set of data is 3.