Question

Given a mean of 571 and a standard deviation of 236.5, what is the z-score of the value 724 rounded to the nearest tenth? a.0.9 b.–0.9 c.–0.6 d.0.6

Answer 1

The answer to this question is 0.6.

Answer 2

Answer:

d. 0.6

Step-by-step explanation:

Since, the formula for calculating the z-score or standard score is,

$z=\frac{x-\mu}{\sigma}$

Where, x is a score,

$\mu$ is mean score,

$\sigma$ is the standard deviation,

Here,

x = 724,

$\mu = 571$,

$\sigma = 236.5$

Hence, the z-score is,

$z=\frac{724-571}{236.5}$

$=\frac{153}{236.5}$

$=0.646934460888\approx 0.6$

Option d is correct.