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?

Question

asked Jun 21, 2018 36.4k views

2 Answers

Deepak Nirala · Answer 1 · 2018-06-25T15:39:23+0000

Answer:

Both score has same relative position.

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=(38-27)/(10)=1.1

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

z_2=(262.7-200)/(57)=1.1

z_1=z_2

Both score has same relative position.