Question

3.3 homework question 14 of 19 (4 points) | question attempt: 1 of unlimited 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 send data to excel 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. median = 19. part 3 of 4 find the lower and upper outlier boundaries. lower outlier boundary is - 27. upper outlier boundary is 77. part 4 of 4 are there any outliers? if so, list them. otherwise, select “none.” outlier(s):

Explanation:

Step1: Recall outlier rule

Outliers are values outside $Q_1 - 1.5\times IQR$ and $Q_3+ 1.5\times IQR$, where $IQR = Q_3 - Q_1$. Given $Q_1 = 12$ and $Q_3=38$, so $IQR=38 - 12=26$.

Step2: Calculate lower - bound

Lower - bound $=Q_1 - 1.5\times IQR=12-1.5\times26=12 - 39=-27$.

Step3: Calculate upper - bound

Upper - bound $=Q_3 + 1.5\times IQR=38+1.5\times26=38 + 39 = 77$.

Step4: Identify outliers

Values in the data set are: 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. Values greater than 77 are 86 and 97.

Answer:

86, 97