Question 860205: 3) The following table shows the scores of subject 1 on six different scales of an aptitude test. Also shown are the means and standard deviations of these scales.
Test Mean Standard Deviation Score Z-Score
Clerical Ability 50, 15, 41, -.6
Logical Reasoning 40, 4, 47, 1.75
Mechanical Ability 120, 25, 100, -.8
Numerical
Reasoning 100, 10, 105, 0.5
Spatial Relations 70, 20, 90, 1
Verbal Fluency 60, 6, 70, 1.67
I have solved the z- scores but I am having a bit of difficulty understanding which the best or worst performance. This is a table and the score, mean, standard deviation, and z-score are given in that order by subject.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
Test Mean Standard Deviation Score Z-Score
Clerical Ability 50, 15, 41, -.6
Logical Reasoning 40, 4, 47, 1.75 best 96% |Use z-Score Percentile Calculator
Mechanical Ability 120, 25, 100, -.8
Num Reasoning 100, 10, 105, 0.5
Spatial Relations 70, 20, 90, 1 good 84%
Verbal Fluency 60, 6, 70, 1.67 better 95%
-z scores indicate below average, higher the plus z-score..the higher the ranking in the upper 50%
using Good, Better, Best :)
Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
Note: z = 0 (x value the mean) 50% of the area under the curve is to the left and %50 to the right
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