Question

Given a mean of 43.8 and a standard deviation of 8.7 what is the z score of the value 40

Answer 1

`z=(40-43.8)/(8.7)\approx-0.4368`

Answer 2

-0.44

Explanation:

Given a mean of 43.8 and a standard deviation of 8.7

`z-score =(x-mean)/(standard deviation)`

mean = 43.8

standard deviation = 8.7

now plug in the values of mean and standard deviation

x= 40

`z-score =(40-43.8)/(8.7)`

`z-score =(-3.8)/(8.7)`

z-score = -0.44