A club accepts members only if they have an IQ score that is

A club accepts members only if they have an IQ score that is 20\" ^ greater than the scores for 98% of the population. What IQ s would you need to be accepted into the club? (Recall that p. a ,C and sigma = 15 for the general population.) Only 0 38% of the population are considered to be geniuses, as measured by IQ scores. What is the minimum IQ score that is required to be considered a genius? Jarrod was told that his IQ score is in the top 30% of the population. What is his IQ score?

Solution

a).

Z value for above 98% = 2.054

IQ score = 100+2.054*15 = 130.81

b).

Z value for top 0.38% = 2.669

IQ score = 100+2.669*15 = 140.035

c).

Z value for top 30% = 0.524

IQ score = 100+0.524*15 = 107.86