Question

if $\bar{x}=54$ and $s = 11.74$, what is the z - score for 62?
hint: use the following.
$z=\frac{x-\bar{x}}{s}$
0.68
0.74
0.66
0.89
0.63

Explanation:

Step1: Identify values

Let $\bar{x}=54$, $s = 11.74$, and $x = 62$.

Step2: Substitute into formula

$z=\frac{x-\bar{x}}{s}=\frac{62 - 54}{11.74}$

Step3: Calculate numerator

$62-54 = 8$

Step4: Calculate z - score

$z=\frac{8}{11.74}\approx0.68$

Answer:

0.68