Problem
Hazardous waste: Following is a list of the number of hazardous waste sites in a sample of states of the United States in a recent year. The list has been sorted into numerical order: \begin{tabular}{llllllllll} \hline 0 & 6 & 9 & 9 & 11 & 12 & 12 & 12 & 13 & 14 \\ 14 & 15 & 15 & 16 & 19 & 19 & 20 & 21 & 25 & 26 \\ 29 & 30 & 32 & 32 & 38 & 40 & 48 & 49 & 97 & 116 \end{tabular} Source: U.S. Environmental Protection Agency Send dinta to Excet Part: $0 / 4$ Part 1 of 4 (a) Find the first and third quartiles of these data. The first quartile of these data is The third quartile of these data is
Solution
Step 1 ：Sort the data in ascending order.
Step 2 ：Calculate the position of the first quartile using the formula: \(Q1 = (n+1)*0.25\), where n is the number of data points.
Step 3 ：Calculate the position of the third quartile using the formula: \(Q3 = (n+1)*0.75\).
Step 4 ：Find the values at the calculated positions for the first and third quartiles.
Step 5 ：Final Answer: The first quartile of these data is \(\boxed{12.25}\) and the third quartile of these data is \(\boxed{31.5}\).
