Genius society requires an IQ that is in the top 2% of the population in order to join. If an IQ test has a mean of 100 and a standard deviation of 15, what is the minimum qualifying score to join the genius society?

Question

Blaine Foley

Mathematics

29 December, 18:42

Genius society requires an IQ that is in the top 2% of the population in order to join. If an IQ test has a mean of 100 and a standard deviation of 15, what is the minimum qualifying score to join the genius society?

+3

Answers (2)

Know the Answer?

Atlas · Answer 1

2.053748176 (15) + 100 = 130.8

The correct answer is:

B: 130

Libby · Answer 2

For number 1 we need Pr (X > x) = 0.02

which is pr (X
We will determine z such that pr (Z
and in place of the table, I will use Microsoft Excel

=norminv (0.98,0,1)

which gives the number z satisfying Pr (Z
Result is 2.053748176

so

x - 100

▬▬▬ ... = ... 2.053748176

15

so

x = 2.053748176 (15) + 100 = 130.8