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Normally distributed population of test scores as a mean of 80 and a standard deviation of 5.2 what is the Z score if a student scores 73

Normally distributed population of test scores as a mean of 80 and a standard deviation of 52 what is the Z score if a student scores 73 class=

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ANSWER:

[tex]z=-1.35[/tex]

STEP-BY-STEP EXPLANATION:

The formula to calculate the value of z is as follows

[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ x=\text{ score} \\ \mu\text{ = mean} \\ \sigma=\text{ standard deviation} \end{gathered}[/tex]

we replace the values and we are left

[tex]z=\frac{73-80}{5.2}=-1.35[/tex]

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