Question

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

of 54.
a. 4.67
C. 4.67
b. 18.0
d. 13.33
Please select the best answer from the choices provided​

Answer 1

The s-score corresponding to a score of 54 is 4.67

Explanation:

In a certain normal distribution of scores:

Mean =
`\mu = 40`

Standard deviation =
`\sigma = 3`

We are supposed to find the z-score corresponding to a score of 54.

Formula :
`Z=(x-\mu)/(\sigma)`

x=54

Substitute the values

So,
`Z= (54-40)/(3)`

Z=4.67

So, Option A is true

Hence the s-score corresponding to a score of 54 is 4.67