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?

Answer 1

the first one because it has numbers closer together

Answer 2

Answer:

Both score has same relative position.

Step-by-step explanation:

The formula for relative position is

$z=\frac{X-\bar {X}}{s}$

where, X is the value of the data point, $\bar {X}$ is mean, and s is standard deviation.

It is given that a score of 38 on a test for which mean = 27 and s = 10.

$z_1=\frac{38-27}{10}=1.1$

A score of 262.7 on a test for which mean = 200 and s = 57.

$z_2=\frac{262.7-200}{57}=1.1$

$z_1=z_2$

Both score has same relative position.