AxcelN162789 AxcelN162789

03-11-2022
Mathematics

contestada

A normal distribution has a mean of 75 and a standard deviation of 15.
Determine the z-score for the data value of 85.

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TamerahN208366 TamerahN208366

03-11-2022

0.67

1) Given that we've got the following data:

[tex]\mu=75,\sigma=15,X=85[/tex]

We can plug them all together into the Z score formula:

[tex]Z=\frac{X-\mu}{\sigma}=\frac{85-75}{15}=\frac{10}{15}\approx0.67[/tex]

Thus, the Z-score is 0.67

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