Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $110.42. Assume the amounts are normally distributed with standard deviation $19.00. Use the TI-84 Plus calculator to answer the following. (a) Find the 1lth percentile of the bill amounts (b) Find the 62nd percentile of the bill amounts (c) Find the median of the bill amounts, Round the answers to at least two decimal places.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.