Question

A NORMAL DISTRIBUTION HAS A MEAN OF 80 AND A STANDARD DEVIATION OF OF 8.FIND THE Z-SCORES FOR 70?

Answer 1

Given:

a.) Mean = 80

b.) Standard Deviation = 8

c.) Observed Value = 70

For us to be able to determine the z-score, we will be using the following formula:

`\text{ Z - Score = }\frac{\text{ x - }\mu\text{ }}{\sigma}`

Where,

x =observed value

μ = mean value

σ = standard deviation

We get,

`\text{ Z - Score = }\frac{\text{ 70 - 80 }}{\text{ 8}}\text{ = }\frac{\text{ -10 }}{\text{ 8}}\text{ = -1.25}`

Therefore, the z-score for 70 is -1.25