Question

Suppose you did a survey of male shoes size and the mean of that survey was size 10.5 with a standard deviation of 1.5. What is the z-score of a size of 8.5?

Answer 1

Z(x)=( x - μ )/ σ
μ = 10.5
σ = 1.5
=>
Z(8.5) = (8.5-10.5)/1.5
=-2/1.5
=-1.333

Answer 2

Answer: -1.33

Step-by-step explanation:

Given : Population mean of male shoes size : $\mu=10.5$

Standard deviation : $\sigma=1.5$

Let x be a random variable that represents the sizes of the shoes.

The formula for z-score is given by :-

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

For x= 8.5 , we have

$z=\dfrac{8.5-10.5}{1.5}\approx-1.33$

Hence, the  z-score of a size of 8.5 =-1.33