Question 5.65

35. A common criterion for identifying an outlier in a set of data is if an observation falls more than above the third quartile or below the first quartile. (IQR stands for the interquartile range, which is the difference between the quartiles: , the width of the box in a boxplot.)

  1. Use the stemplot in Figure 5.11 (page 195) to determine a five-number summary for the data on percentage of Hispanics.
  2. Calculate IQR, , and .
  3. Any data value below or above should be considered an outlier. Determine the outliers, and then use Table 5.5 (page 189) to find which states are associated with the outliers.

35.

(a) The five-number summary is 1.0, 3.5, 6.85, 10.2, 42.3.

(b) ; ;

(c) There are six data values above 20.25: 21.1, 22.3, 25.0, 33.1, 33.6, and 42.3. These values correspond to the states Florida, Nevada, Arizona, California, Texas, and New Mexico, respectively.