Question

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 1

Answer:

$z = 1.66$

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;

$z = \frac{x - Mean}{SD}$

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

$z = \frac{9.38 - 4.68}{2.83}$

$z = \frac{4.7}{2.83}$

$z = 1.66$ (Approximated)

Hence, the z score is 1.66