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Question 1 Given a mean of 25 and a standard deviation of 2.5, what is the z-score of a data value X = 29? -1.06 1.6 ООО -1.6 1.06

Sagot :

The information we have is:

Mean:

[tex]\mu=25[/tex]

Standard deviation:

[tex]\sigma=2.5[/tex]

Value of x:

[tex]x=29[/tex]

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To solve this problem, we need to use the z-score formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Substituting our values:

[tex]z=\frac{29-25}{2.5}[/tex]

We need to solve the subtraction first:

[tex]z=\frac{4}{2.5}[/tex]

Finally, solve the division to find the z-score:

[tex]z=1.6[/tex]

the z-score is 1.6

Answer: 1.6

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