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
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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

Answer

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Answer

Final Answer: The first quartile of these data is \(\boxed{12.25}\) and the third quartile of these data is \(\boxed{31.5}\).

Steps

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 \(\boxed{31.5}\).

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