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 .

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=(x-\mu)/(\sigma)`

For x = 22, we have

`z=(22-20)/(5)=(2)/(5)\\\\\Rightarrow\ z=0.4`

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