Statistic Z score

Question

Jan earned 86 on her political science midterm and 89 on her chemistry midterm. In Political science class, the mean score was 75 with a standard deviation of 4 In chemistry class, the mean score was 80 with a standard deviation of 9.

 

a. Convert each score to a standard z score

 

b. which score was higher compared to the rest of the class? Explain your answer

Answer 1

Poly Sci ( 86 - 75)/4 = 11/4 = 2.25

 

Chem  (89 - 80)/9 = 9/1 = 1

 

She scored 2.25 standard deviations above the mean in political science

and 1 standard deviation above the mean in chemsitry