Question

IQ scores are normally distributed with a mean of 100 and a standarddeviation of 15. Using the empirical rule, determine the interval thatwould represent the middle 99.7% of IQ scores.Submit Answer

Answer 1

According to the empirical rule, 99.7% of data falls within 3 standard deviations (σ).

That means, 99.7% of data range from μ - 3σ to μ + 3σ, being μ the mean.

So, let's calculate the interval:

μ - 3σ

100 - 3*15

100 - 45

55

μ + 3σ

100 + 3*15

100 + 45

145

So, the interval is (55, 145).