Question

Which score has a higher relative position, a score of 38 on a test for which = 27 and s = 10, or a score of 262.7 on a test for which = 200 and s = 57?

A score of 262.7
Both scores have the same relative position.
A score of 38

Answer 1

you can use the z score to find relative position

Answer 2

$$ \Large {

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

Answer 3

the z score tells you how many standard deviations you are from the mean

Answer 4

$$ \Large {

z = \frac{x - \mu}{\sigma }
\\~\\z = \frac{38 - 27}{10 }=1.1

\\~\\
\\z = \frac{262.7 - 200}{57 }=1.1

}$$