Solution

The $\text{variables}$ are the topics that were investigated.

$\textbf{variables}$

$\textbf{Discrete}$ data are restricted to defined separated values, for example integers or counts. $\textbf{Continuous}$ data are not restricted to defined separate values, but can occupy any value over a continuous range, for example decimal, rational or real numbers.

SOLUTION

(a) The table shows the number of hazardous waste sites of each of the 50 states and thus the measured variable is the number of hazardous waste sites.

Since the number of hazardous waste sites is an integer, the variable is discrete.

(b) The distribution is skewed right, because most of the data values lie near the top in the stem and leaf plot with a tail or more unusual values near the bottom of the stem and leaf plot (along with unusually high data values).

The unusually large measurements marked "HI" are 69, 90, 96, 97, 114. These measurements correspond to the states Michigan (MI), New York (NY), California (CA), Pennsylvania (PA) and New Jersey (NJ).

(c) California, New York and Pennsylvania are some of the states with the largest populations. It would then make sense for these states to have a larger number of hazardous waste sites, because more individuals lead to more waste.

Moreover, Michigan, New Jersey, New York and New Jersey are some of the states with the largest amount of industrial activity, while industrial activity also creates additional waste.

Answers

(a) Number of hazardous waste sites, Discrete

(b) Skewed right

Michigan (MI), New York (NY), California (CA), Pennsylvania (PA) and New Jersey (NJ).

(c) Population of the state and industrial activity of the state

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