Joe scored a 46 on this exam What Percent of students scored

Joe scored a 46 on this exam. What Percent of students scored above Joe?

Solution

Mean = u = 30

SD = sigma = 4

Joes\' score = x = 46

Lets find the z-score

z = (x - u) / SD

z = (46 - 30) / 4

z = (16)/4

z = 4

We need to find P(z > 4)

I shall use the below link....

https://www.fourmilab.ch/rpkp/experiments/analysis/zCalc.html

When z = 4, P = 0.000032

So, P(z > 4) = 0.000032 or 0.0032%

Answer ---> 0.0032%

So, 0.0032% of the people scored above Joe