Question

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 1

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:

$z=\frac{75-70}{5} =1$

z score for english:

$z=\frac{92-90}{10} =0.2$

z score for math:

$z=\frac{80-70}{3} =3.33$

z score for science:

$z=\frac{84-70}{7} =2$

Since the z score for Math is highest, therefore, in Math class Julie's score is highest.