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Question 10 (Multiple Choice Worth 2 points)

(Creating Graphical Representations MC)

A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.

\begin{tabular}{|c|l|l|l|l|}
\hline
Sport & Basketball & Baseball & Soccer & Tennis \\
\hline
Number of Students & 17 & 12 & 27 & 44 \\
\hline
\end{tabular}

Which of the following graphs correctly displays the data?



Answer :

GinnyAnswer
To answer this question, you need to create a graphical representation that accurately visualizes the data given in the table. Here are the steps to create a bar graph from the data provided:

1. Identify the sports and their corresponding numbers:
- Basketball: 17 students
- Baseball: 12 students
- Soccer: 27 students
- Tennis: 44 students

2. Choose the type of graph:
- The most straightforward type of graph to represent this data is a bar graph. Each sport will be represented by a bar, with the height of the bar corresponding to the number of students who chose that sport.

3. Label the axes:
- The x-axis (horizontal axis) will represent the different sports.
- The y-axis (vertical axis) will represent the number of students.

4. Plot each sport with the corresponding number of students:
- Draw a bar for Basketball along the x-axis with a height of 17 on the y-axis.
- Draw a bar for Baseball along the x-axis with a height of 12 on the y-axis.
- Draw a bar for Soccer along the x-axis with a height of 27 on the y-axis.
- Draw a bar for Tennis along the x-axis with a height of 44 on the y-axis.

5. Add titles and labels:
- Title the graph, e.g., "Favorite Sports of Middle Schoolers".
- Label the x-axis as "Sport".
- Label the y-axis as "Number of Students".

Now let's visualize this step-by-step process:

1. List of Sports and their corresponding number of students:
- Basketball: 17
- Baseball: 12
- Soccer: 27
- Tennis: 44

2. Bar Graph Representation:

```
Favorite Sports of Middle Schoolers
---------------------------------------

^ 50|
| 45| ______________________________________
| 40| |Tennis (44) |
| 35| |____________________________________|
| 30| __________
| 25| |Soccer (27)|
| 20| __________|
| 15| _______________________________
| 10| |Basketball (17) |
| 5| ______________________________
| 0| |____________________________|
(0)
[ Basketball Baseball Soccer Tennis ]

```

In this graph:
- The x-axis lists the sports (Basketball, Baseball, Soccer, Tennis).
- The y-axis shows the number of students ranging from 0 to 50, based on the highest number, which is 44 for Tennis.
- Each bar represents a sport with the height corresponding to the number of students who selected that sport.

Any correct graphical representation of this data will show a bar graph with these bars:
- A bar reaching up to 17 students for Basketball.
- A bar reaching up to 12 students for Baseball.
- A bar reaching up to 27 students for Soccer.
- A bar reaching up to 44 students for Tennis.

Ensure the graph includes appropriate labels for clarity.

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