High School

The average class size this semester in the business school of a particular university is 39.1 students with a standard deviation of 13.6 students.

Calculate the z-score for a class with 16 students.

Answer :

The z-score for a class with 16 students is -1.70

The z-score for a class with 16 students in the business school of the particular university is approximately -1.22.

To calculate the z-score, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to calculate the z-score for (in this case, the class size of 16),

μ is the mean (average) class size,

σ is the standard deviation.

Given that the average class size is 39.1 students (μ = 39.1) and the standard deviation is 13.6 students (σ = 13.6), we can substitute these values into the formula:

z = (16 - 39.1) / 13.6

Simplifying the equation, we have:

z = (-23.1) / 13.6

Dividing -23.1 by 13.6, we get approximately -1.70. Therefore, the z-score for a class with 16 students is approximately -1.70.

To know more about z-scores, refer here:

https://brainly.com/question/31871890#

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