Joan took 4 courses last semester Calculus Physics Biology a

Joan took 4 courses last semester: Calculus, Physics, Biology, and History. The means and standard deviations for the final exams, and Joan\'s scores are given in the table below. Convert Joan\'s score into z scores. On what exam did Joan have the highest relative score? (Enter the subject.)

Solution

a)
Mean ( u ) =70
Standard Deviation ( sd )=12
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
Z = (61-70)/12
Z = -9/12= -0.75

b)
Mean ( u ) =60
Standard Deviation ( sd )=14
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
Z = (74-60)/14
Z = 14/14= 1

c)
Mean ( u ) =77
Standard Deviation ( sd )=10
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
Z = (84.5-77)/10
Z = 7.5/10= 0.75

d)
Mean ( u ) =53
Standard Deviation ( sd )=16
Z = X- u / sd ~ N(0,1)                  
Z = (77-53)/16
Z = 24/16= 1.5

In HISTORY IT HAS RELATIVELY BIGGER SCORE