Solution

(a) $\text{Categorical/qualitative}$ variables places the individuals into a category, while a $\text{quantitative}$ variable is a numerical variable. The education level is a qualitative variable, as the variable does not take on numerical values.

$$\textbf{quantitative}

$$\textbf{Categorical/qualitative}

For a qualitative variable, we should use either a pie chart or a bar chart. However, a pie chart won't work as the Median weekly earnings do no represent frequencies (a pie chart requires frequencies or percentages). Thus the only appropriate method is a bar chart.

(b) $\textbf{Bar chart}$

The width of each bar has to be the same and the height has to be equal to the Median Weekly Earnings ($).

(c) As the education level increases, the median weakly earnings appear to increase as well, because the bars in the bar chart become higher to the right.

The median weekly earnings are lowest for the individuals with a less than high school degree, while the median weekly earnings are highest for the individuals with a professional or doctoral degree.

Answer

(a) Bar chart

(b) The width of each bar has to be the same and the height has to be equal to the Median Weekly Earnings ($).

(c) As the education level increases, the median weakly earnings appear to increase as well.

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