A few years ago, researchers investigated how many clubs students were involved in at a small liberal arts college in the Northeast. The results of their interviews of 92 students are tabulated below:

Question

A few years ago, researchers investigated how many clubs students were involved in at a small liberal arts college in the Northeast. The results of their interviews of 92 students are tabulated below:

number of clubs students
0 18
1 12
2 15
3 16
4 17
5 9
6 3
7 0
8 0
9 2

a. Create an appropriate display of this data.

I am not whether to display the data in a bar graph (categorical) or histogram (quantitative) because I am not sure whether number of clubs is a categorical or quantitative variable. Clubs would be categorical, but # of clubs is quantitative, so would I use a bar graph? I am confused because the variable is somewhat ordinal.

Answer 1

the chart displays number of clubs (0-9) and the # of students involved in a certain # of clubs. I need to create an appropriate display of the data, but I am not sure whether to use a bar graph or histogram because I am not sure whether the variable is categorical (bar graph) or quantitative (histogram).

Answer 2

In this case, the variable "number of clubs" can be considered as a categorical variable with ordinal properties. It represents different categories (0, 1, 2, 3, etc.) but also has a natural order since the values are increasing.

To appropriately display this data, you can use a bar graph (also known as a bar chart). A bar graph is suitable for displaying categorical data, especially when you want to compare different categories. In this case, you can display the number of clubs on the x-axis and the corresponding count of students on the y-axis.

Here's how you can create the bar graph for this data:

1. Set up the axes: Label the x-axis as "Number of Clubs" and the y-axis as "Number of Students."
2. For each category (0, 1, 2, 3, etc.), draw a bar whose height corresponds to the number of students in that category. For example, for the category 0, the height of the bar would be 18.
3. Repeat step 2 for each category, creating bars of appropriate heights.
4. Optionally, you can also add labels to each bar to show the exact count of students.

By creating this bar graph, you will have a visual representation of the distribution of students across different numbers of clubs. It will allow you to compare the frequency of students in each category and observe any patterns or trends within the data.

A few years ago, researchers investigated how many clubs students were involved in at a small liberal arts college in the Northeast. The results of their interviews of 92 students are tabulated below:

not right

In this case, the variable "number of clubs" can be considered as a categorical variable with ordinal properties. It represents different categories (0, 1, 2, 3, etc.) but also has a natural order since the values are increasing.