Mathematics: 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?

Which score has a higher relative position, a score

vanessabeausoleil

06.01.2022

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.

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