Question

IQ scores are normally distributed with a mean of 101 and a standard deviation of 12. Using the empirical rule, what percent of people have an IQ greater than 125?

Answer 1

Solution :

Given that,

= 101

= 12

Using Empirical rule,

P( - 1< X < + 1) = 68%

P( - 2< X < + 2) = 95%

P( - 3< X < + 3) = 99.7%

P(x > 125) = 1 - P(x < 125)

= 1- 0.975 = 0.025 = 2.5%

Percent = 2.5%