Question

A traveling soccer team allows only the top 3% of athletes who try out to be part of the team. If the team tryout scorecard has a mean of 150 and a standard deviation of 10, which of the following can be used as a minimum qualifying score to join the traveling soccer team?

169
4
145
151

Answer 1

169

Explanation:

You need to use a Z-table for this.

There are different tables, in this table i searched for the probability of 97% because that equivalent to the top 3%.

for 0.97, Z = 1.88

The formula of Z is:

`Z = (x-mean)/(st. dev.)`

Solving x:

`1.88 = (x-150)/10 \\x = 168.8 = 169`