Solution

The $\text{experimental units}$ are the individuals on whom an experiment is performed.

$\textbf{experimental units}$

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

$\textbf{Categorical/qualitative}$ variables places the individuals into a category, while a $\textbf{quantitative}$quantitative variable is a numerical variable.

SOLUTION

(a) In this case, 50 people are grouped into four categories and thus the experimental units are the 50 people, which implies that a single experimental unit is a person.

(b) We are interested in the category in which the people are grouped, which implies that the variable being measured is the category.

The variable "category" is qualitative, because the different possible categories are A, B, C and D.

(d) $\textbf{Bar chart}$

The width of each bar has to be the same and the height has to be equal to the frequency.

(e) The shape of the bar chart in part (d) will change depending on the order of presentation of the four categories, because if we would rank the bars from D to A (instead of A to D), then the shape in the bar chart will be opposite to the current shape. Moreover, if we interchange two bars in the bar chart, then the bar chart will change.

The order of the presentation is not important in this case, because a different order will still represent the same information.

Answer

(a) Person

(b) Qualitative

(c) The percent is the frequency divided by the total frequency.

The slice size (central angle of the circle) is the product of 360$\text{°}$ and the percent.

$\text{\textdegree}$

Draw a circle.

Draw the slices for each category.

(d) The width of each bar has to be the same and the height has to be equal to the frequency.

(e) Yes, No

(f) 0.78

(g) 72%

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