a competitive cheer team allows only the top 4% of athletes who try out to be part of the team. if the team tryout scorecard has a mean of 200 and a standard deviation of 10, which of the following can be used as a minimum qualifying score to join the cheer team?

a.) 8
b.) 192
c.) 217
d.) 202

C.) 217 (I promise, I just did this with a teacher!)

Step-by-step explanation:

Think about it, you're looking for the top 4% so the score has to be better than about 96% of everyone else who tried out for the team.

1.74 matches up with 95.91 on the z score table.

Following the equation: z =  raw score - mean over over standard deviation

z is 1.74

so the equation should look something like 1.74 = x - 200/ 10

Solve for x and get 217.4 which can be rounded to 217 which is your answer.