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

d. 0.6

Explanation:

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

`z=(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=(724-571)/(236.5)`

`=(153)/(236.5)`

`=0.646934460888\approx 0.6`

Option d is correct.