IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, what percentage of people have an IQ score between 70 and 130?
According to the empirical rule, approximately 68% of people fall within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
In this case, an IQ score of 70 is 2 standard deviations below the mean (100 - 2*15 = 70), and an IQ score of 130 is 2 standard deviations above the mean (100 + 2*15 = 130).
Using the empirical rule, we can say that approximately 95% of people have an IQ score between 70 and 130.