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45 votes
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

User Yifei
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3.0k points

1 Answer

25 votes
25 votes

The information we have is:

Mean:


\mu=25

Standard deviation:


\sigma=2.5

Value of x:


x=29

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


z=(x-\mu)/(\sigma)

Substituting our values:


z=(29-25)/(2.5)

We need to solve the subtraction first:


z=(4)/(2.5)

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


z=1.6

the z-score is 1.6

Answer: 1.6

User Alexsa
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3.2k points