Question

Assume that adults have IQ scores that are normally distributed with a mean of 96.2 and a standard deviation 19.2. Find the first quartile Upper Q 1​, which is the IQ score separating the bottom​ 25% from the top​ 75%. (Hint: Draw a​ graph.)

Answer 1

Let the IQ score is Denoted by X

where X follows normal Distribution with mean 96.2 and a standard deviation 19.2.

now we are required to find the first quartile Q1 in order to separate the bottom 25% from the top 75%

Graph When X~Normal distribution with mean 96.2 and a standard deviation 19.2.