Question

25-26 div q4 final exam afda
a student scored 85 on a test with a mean of 70 and a standard deviation of 10. what is the z - score?
○ 0.5
○ 1.5
○ 3
○ 2

Explanation:

Step1: Recall z-score formula

The z-score formula is $z = \frac{x - \mu}{\sigma}$, where $x$ is the raw score, $\mu$ is the population mean, and $\sigma$ is the population standard deviation.

Step2: Plug in given values

Substitute $x=85$, $\mu=70$, $\sigma=10$ into the formula:
$z = \frac{85 - 70}{10}$

Step3: Calculate numerator first

$85 - 70 = 15$

Step4: Compute final z-score

$z = \frac{15}{10} = 1.5$

Answer:

B. 1.5