94
QuizMultiple Choice

N/A — Exam

Question 94 • Algebra II

A set of data has a mean of 0 point 5 and a standard deviation of 0 point 0 1 A data point of the set has a z -score of 2 point 5 What does a z -score of 2 point 5 mean?

Answer
A
The data point is 2 point 5 standard deviations away from 0 point 0 1 .
B
The data point is 0 point 0 1 standard deviations away from 2 point 5 .
C
The data point is 2 point 5 standard deviations away from 0 point 5 .
D
The data point is 0 point 0 1 standard deviations away from 0 point 5 .

Explanation

A z-score tells how many standard deviations a data point is from the mean. Here, the mean is 0.5 and the z-score is 2.5, so the data point is 2.5 standard deviations above the mean. Therefore, choice C, “2.5 standard deviations away from 0.5,” is correct.

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