"The 10th grader Jack and the 11th grader Michael have identical math scores (i.e., they both got 95 on Exam 1). Thus, they also have identical z-scores. a) True. That's what z scores are. b) Not necessarily. Depends on the standard deviation in each of their classes."

The 10th grader Jack and the 11th grader Michael have identical math scores (i.e., they both got 95 on Exam 1). Thus, they also have identical z-scores.
a) True. That's what z scores are.
b) Not necessarily. Depends on the standard deviation in each of their classes.
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Gauge Bishop
We have, $Z=\frac{X-\mu }{\sigma }$
where $\mu$ = Mean and $\sigma$ = standard deviation
Given:
The 10th grader Jack and the 11th grader Michael have identical math scores(i.e., they both got 95 on Exam 1).
The Z-score depends on Mean and standard deviation.
Hence, it is not necessarily that they have identical z-scores.