Which score has the highest relative position a score of 32

Which score has the highest relative position: a score of 32 on a test for which x = 26 and s = 10, a score of 5.7 on a test for which x = 4.7 and s = 1.3 or a score of 394.5 on a test for which x = 374 and s = 41?

Solution

Which score has the highest relative position: a score of 32 on a test for which x = 26 and s = 10, a score of 5.7 on a test for which x = 4.7 and s = 1.3 or a score of 394.5 on a test for which x = 374 and s = 41?

a score of 32 on a test for which x = 26 and s = 10

z =(32-26)/10 =0.6

a score of 5.7 on a test for which x = 4.7 and s = 1.3

z=(5.7-4.7)/1.3 =0.769

score of 394.5 on a test for which x = 374 and s = 41

z=(394.5-374)/41=0.5

The highest relative position : score of 5.7 on a test for which x = 4.7 and s = 1.3

This z value 0.769 is larger than other z values.