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?
Using the empirical rule, approximately 68% of the population falls within one standard deviation of the mean on a normal distribution.
So, to find the percentage of people with an IQ score between 70 and 130, we need to find the percentage of people within one standard deviation below the mean (85 and above), which is 34% (half of 68%), and add the percentage within one standard deviation above the mean (115 and below), which is another 34%.
Therefore, the percentage of people with an IQ score between 70 and 130 is 34% + 34% = 68%.