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The mean Exam score on the SOC 15 Exam 2 is 84.28 with a standard deviation of 6.71.Your friend scored an 86 on the exam. What is your friend's z-score?

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Answer:

z-score = 0.256

Step-by-step explanation:

The mean score, μ = 84.28

The standard deviation, σ = 6.71

The score, X = 86

The z-score is calculated using the formula:


\begin{gathered} z-\text{score = }(X-\mu)/(\sigma) \\ z-\text{score = }(86-84.28)/(6.71) \\ z-\text{score = }(1.72)/(6.71) \\ z-\text{score = }0.256 \end{gathered}

Therefore, your friend's z-score = 0.256

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