# "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.
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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.