Question

In a certain normal distribution of scores, the mean is 50 and the standard deviation is 6. Find the Z-score corresponding to a score
of 60.
a. -1.67
c. 1.67
b. 10.0
d. 8.33

Answer 1

Answer:

Option c.

Step-by-step explanation:

Given information:

Mean = 50

Standard deviation = 6

Observed value = 60

We need to find the Z-score.

Formula for Z score is,

$Z=\dfrac{x-\mu}{\sigma}$

where, x is observed values, $\mu$ is mean and $\sigma$ is standard deviation.

Substitute the given values in the above formula.

$Z=\dfrac{60-50}{6}$

$Z=\dfrac{10}{6}$

$Z=1.6666...$

$Z\approx 1.67$

Therefore, the correct option is c.