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2. For the following data, calculate the z-score. (5 points)
a. Sierra wishes to enroll her son in an exclusive academy. Her son must
score an 107 on their aptitude test in order to be accept. Calculate the z-
score for a score of 107 based on the data provided.
Score (Y) = 107
Mean = 95
Standard Deviation = 7.5
hint: Use the z-score formula to convert 107 into a z-score

Respuesta :

MrRoyal

The z-score for a score of 107 is 1.6

How to determine the z-score?

The given parameters are:

  • Score (Y) = 107
  • Mean = 95
  • Standard Deviation = 7.5

The z-score is calculated using:

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

So, we have:

[tex]z = \frac{107 -95}{7.5}[/tex]

Evaluate the difference

[tex]z = \frac{12}{7.5}[/tex]

Divide

z = 1.6

Hence, the z-score is 1.6

Read more about z-scores at:

https://brainly.com/question/25638875

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