Question

Suppose the distribution of IQ scores of adults is normal with a mean of 100 and a standard deviation of 15. Find IQ score that separates the top 32 percent of adult IQ scores from the bottom 68 percent. Round your answer to the nearest integer. The IQ score that separates the top 32 percent of adult IQ scores from the bottom 68 percent is [IQValue].

Answer 1

Given that, mean (μ) = 100 and standard deviation = 15

We want to find, the value of x such that, P(X > x) = 0.32

Therefore, the IQ score that separates the top 32 percent of adult IQ scores from the bottom 68 percent is 107.05