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Answer :
To find the z-score for a class with 20 students given a mean and standard deviation, we can use the formula for the z-score:
[tex]z = \frac{X - \mu}{\sigma}[/tex]
Where:
- [tex]z[/tex] is the z-score,
- [tex]X[/tex] is the value we are examining, which is 20 students in this case,
- [tex]\mu[/tex] is the mean, which is 38.1 students,
- [tex]\sigma[/tex] is the standard deviation, which is 13.4 students.
Now, let's plug the values into the formula:
[tex]z = \frac{20 - 38.1}{13.4}[/tex]
[tex]z = \frac{-18.1}{13.4}[/tex]
[tex]z \approx -1.35[/tex]
Thus, the z-score for a class with 20 students is approximately [tex]-1.35[/tex].
Therefore, the correct multiple-choice option is 2. 1.35.
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