Question

the z - score represents......
option 1 (yellow box): the percentile the data value is above or below the mean.
option 2 (blue box): the amount of standard deviations a data value is above or below the median.
option 3 (orange box): the amount of standard deviations a data value is above or below the mean.
option 4 (cyan box): the percent the data value is above or below the mean.

Explanation:

The z - score is defined as the number of standard deviations a data point is above or below the mean. It is calculated using the formula $z=\frac{x - \mu}{\sigma}$, where $x$ is the data value, $\mu$ is the mean, and $\sigma$ is the standard deviation. Percentile is about the percentage of data below a value, and the z - score is related to the mean (not the median) and standard deviations. So the correct description is "the amount of standard deviations a data value is above or below the mean".

Answer:

the amount of standard deviations a data value is above or below the mean (the option with this text, assuming the orange box has this text as per the description of the z - score concept)