Question

A normal distribution has a mean 20 and standard deviation 5. What is the z score that corresponds to the value x=222

Answer 1

Answer: The z score that corresponds to the value x=22 is 0.4 .

Step-by-step explanation:

Given : A normal distribution has a mean 20 and standard deviation 5.

i.e. $\mu=20$

$\sigma=5$

Let x be the random selected variable.

We know that to find the z-score corresponds to the value x is given by :-

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

For x = 22, we have

$z=\dfrac{22-20}{5}=\dfrac{2}{5}\\\\\Rightarrow\ z=0.4$

Hence, the z score that corresponds to the value x=22 is 0.4