"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."

sombereki51

sombereki51

Answered question

2022-09-27

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.

Answer & Explanation

Gauge Bishop

Gauge Bishop

Beginner2022-09-28Added 3 answers

We have, Z = X μ σ
where μ = Mean and σ = 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.

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