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hazardous waste: following is a list of the number of hazardous waste s…

Question

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.
2 3 5 9 9 11 12 12 13 13
14 15 15 16 19 19 20 21 25 26
32 32 38 40 48 49 49 52 86 97
part 1 of 4
find the first and third quartiles of these data.
the first quartile is 12.
the third quartile is 38.
part 2 of 4
find the median of these data.

Explanation:

Step1: Determine the number of data points

There are $n = 30$ data - points.

Step2: Find the position of the median

Since $n = 30$ (an even number), the median is the average of the $\frac{n}{2}=15$th and $(\frac{n}{2}+1) = 16$th ordered data - points.

Step3: Identify the 15th and 16th data - points

The 15th value is 19 and the 16th value is 19.

Step4: Calculate the median

Median=$\frac{19 + 19}{2}=19$

Answer:

19