In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the z-score corresponding to a score of 54.

а. 4.67

с. 4.67

b. 18.0

d. 13.33

Answer is 4.67

Step-by-step explanation:

In this question, we are asked to calculate the z-score that correspond to a particular score.

To calculate this z score, what we need to do is to use the formula for it.

Mathematically z-score = (x - mean) / SD

Here in this question, x = 54, mean = 40 and SD = 3

Plugging these values we have;

z-score = (54-40) / 3

= 14/3 = 4.67