Use the Empirical Rule to answer the question.In a normal distribution, what percent of the data lie in the following?(a)within 2 standard deviations of the mean %(b)more than 1 standard deviation above the mean %(c)between 1 standard deviation below the mean and 2 standard deviations above the mean

(a) The Empirical Rule states that for a normal distribution, approximately 95% of the data lies within 2 standard deviations of the mean.

(b) The Empirical Rule also states that approximately 68% of the data lies within 1 standard deviation of the mean. This is split evenly on both sides of the mean, so approximately 34% lies 1 standard deviation above the mean. Therefore, the percentage of data that lies more than 1 standard deviation above the mean would be 50% (total percentage above the mean) - 34% = 16%.

(c) To find the percentage of data that lies between 1 standard deviation below the mean and 2 standard deviations above the mean, we add the percentages that lie within these ranges. From the Empirical Rule, we know that approximately 34% of data lies between the mean and 1 standard deviation below it, and approximately 47.5% of data lies between the mean and 2 standard deviations above it (this is half of the 95% that lies within 2 standard deviations of the mean). Adding these together, we get 34% + 47.5% = 81.5%.