Consider julie's scores on three final exams (x), along with the class means and standard deviations: subject x mean standard deviation history 75 70 5 english 92 90 10 math 80 70 3 science 84 70 7 compared to the other students who took the test, in what class is was julie's highest score?
Answer: In order to find in what class Julie's has scored highest, we need to find the z score corresponding to Julie's score. The subject who has the highest z score will indicate that Julie has scored highest in that subject.
Z score for History:
[tex]z=\frac{75-70}{5} =1[/tex]
z score for english:
[tex]z=\frac{92-90}{10} =0.2[/tex]
z score for math:
[tex]z=\frac{80-70}{3} =3.33[/tex]
z score for science:
[tex]z=\frac{84-70}{7} =2[/tex]
Since the z score for Math is highest, therefore, in Math class Julie's score is highest.
