From a random sample of 500 students, students study for an average of 10 hours per week with a standard deviation of 4 hours per week. Say, a student in this sample studies for 12 hours per week. What is the z-score of this student?

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Blaze Torres

23 February, 04:37

From a random sample of 500 students, students study for an average of 10 hours per week with a standard deviation of 4 hours per week. Say, a student in this sample studies for 12 hours per week. What is the z-score of this student?

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Paisley Baker · Answer 1

0.5

Explanation:

In statistics, the z-score tells us the raw value's (X) relation to the mean value (μ), in terms of standard deviation (σ). It is calculated by the following formula:

Z = (X - μ) / σ

With the result in this example being 0.5, it tells us that our value (particular student's score) is half a standard deviation above the mean.