Answer :
Sure, let's analyze the problem step-by-step:
1. Data Understanding: We have a table where the number of siblings is listed along with the names of students having that number of siblings.
[tex]\[ \begin{tabular}{|c|l|} \hline \begin{tabular}{c} Number of \\ Siblings \end{tabular} & \multicolumn{1}{|c|}{Students} \\ \hline 0 & Jenn, Bill, Rosa, Juan \\ \hline 1 & Cho \\ \hline 2 & \begin{tabular}{l} Damon, Mike, Lisa, \\ Lupe, Maggie \end{tabular} \\ \hline 3 & - \\ \hline 4 & Greg \\ \hline \end{tabular} \][/tex]
2. Objective: We want to find the most appropriate data representation to show the number of students for each given number of siblings.
3. Options Analysis:
- Line Graph: Typically used to display data points over a continuous range, especially suited for showing trends over time. Not ideal for categorical data like this.
- Line Plot: A simple way to display small sets of data, often used to show frequency distributions. However, it might not clearly represent categorical data like the number of siblings.
- Bar Graph: Suitable for comparing different categories. Each category (number of siblings) can be clearly represented with bars showing the number of students.
- Stem and Leaf Plot: Used for small sets of numerical data to display the frequency distribution. Less common for categorical data and more complex visual comparisons.
Considering the above analysis, the bar graph stands out as the most suitable representation. It allows us to clearly compare the number of students for each different number of siblings.
Thus, the most appropriate data representation for showing each student who has a given number of siblings is:
[tex]\[ \boxed{3} \][/tex]
1. Data Understanding: We have a table where the number of siblings is listed along with the names of students having that number of siblings.
[tex]\[ \begin{tabular}{|c|l|} \hline \begin{tabular}{c} Number of \\ Siblings \end{tabular} & \multicolumn{1}{|c|}{Students} \\ \hline 0 & Jenn, Bill, Rosa, Juan \\ \hline 1 & Cho \\ \hline 2 & \begin{tabular}{l} Damon, Mike, Lisa, \\ Lupe, Maggie \end{tabular} \\ \hline 3 & - \\ \hline 4 & Greg \\ \hline \end{tabular} \][/tex]
2. Objective: We want to find the most appropriate data representation to show the number of students for each given number of siblings.
3. Options Analysis:
- Line Graph: Typically used to display data points over a continuous range, especially suited for showing trends over time. Not ideal for categorical data like this.
- Line Plot: A simple way to display small sets of data, often used to show frequency distributions. However, it might not clearly represent categorical data like the number of siblings.
- Bar Graph: Suitable for comparing different categories. Each category (number of siblings) can be clearly represented with bars showing the number of students.
- Stem and Leaf Plot: Used for small sets of numerical data to display the frequency distribution. Less common for categorical data and more complex visual comparisons.
Considering the above analysis, the bar graph stands out as the most suitable representation. It allows us to clearly compare the number of students for each different number of siblings.
Thus, the most appropriate data representation for showing each student who has a given number of siblings is:
[tex]\[ \boxed{3} \][/tex]
