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The mean of a set of data is 4.68 and its standard deviation is 2.83. Find the z score for a value of 9.38. a.1.83 b.1.49 c.1.66 d.1.96

Answer :

MrRoyal

Answer:

[tex]z = 1.66[/tex]

Step-by-step explanation:

Given

Mean = 4.68

Standard Deviation (SD) = 2.83

Value, x = 9.38

Required

Determine the z score

z score is calculated using the following formula;

[tex]z = \frac{x - Mean}{SD}[/tex]

Substitute 9.38 for x; 2.83 for SD and 4.68 for Mean

[tex]z = \frac{9.38 - 4.68}{2.83}[/tex]

[tex]z = \frac{4.7}{2.83}[/tex]

[tex]z = 1.66[/tex] (Approximated)

Hence, the z score is 1.66

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