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4. Make a multiple bar diagram of the following data:

\begin{tabular}{|l|c|c|c|}
\hline
\multirow{2}{*}{\multicolumn{1}{|c|}{Faculty}} & \multicolumn{3}{|c|}{No. of Students} \\
\cline{2-4}
& [tex]$2009-10$[/tex] & [tex]$2010-11$[/tex] & [tex]$2011-12$[/tex] \\
\hline
Arts & 600 & 550 & 500 \\
Science & 400 & 500 & 600 \\
Commerce & 200 & 250 & 300 \\
\hline
\end{tabular}



Answer :

GinnyAnswer
Alright, let’s create a multiple bar diagram step-by-step to visually represent the given data. This type of chart allows us to compare multiple dependent variables (number of students) across an independent variable (years) within each category (faculties: Arts, Science, Commerce).

### Step-by-Step Solution:

#### 1. Understand the Data:
We are provided with the following data on the number of students enrolled in Arts, Science, and Commerce faculties over three academic years.

| Faculty | 2009-10 | 2010-11 | 2011-12 |
|----------|---------|---------|---------|
| Arts | 600 | 550 | 500 |
| Science | 400 | 500 | 600 |
| Commerce | 200 | 250 | 300 |

#### 2. Set up the Chart:
We will draw a chart with the `Years` on the x-axis and the `Number of Students` on the y-axis. We need three groups of bars for each year, one group for each faculty.

#### 3. Determine the Positioning of Bars:
To avoid overlapping bars and ensure clarity, we’ll position the bars for each faculty slightly apart within each year group.

#### 4. Drawing the Bars:
You will draw the bars for each category (faculty) for the three years.

#### 5. Labeling and Legend:
Label the x-axis with years, the y-axis with the number of students, and add a legend to distinguish between faculties.

Here’s how you can plot this manually or visualize it using a method such as a graphing tool or if you want to imagine it:

1. Create a graph with three sets of vertical bars.
2. Group these bars into three sections representing the years 2009-10, 2010-11, and 2011-12. Within each section:
- Draw the bar for Arts, Science, and Commerce.

#### Example of the Multiple Bar Diagram:
```
No. of Students
|
| Arts Science Commerce
800| | 600 | | 400 | | 200 |
| | | | | | |
600| | 550 | | 500 | | 250 |
| | | | | | |
400| | 500 | | 600 | | 300 |
| | | | | | |
200| | | | | | |
| -------------+-------------+-------------+-------------
| 2009-10 2010-11 2011-12
```

- For the year 2009-10:
- Arts would have a bar reaching up to 600.
- Science would have a bar reaching up to 400.
- Commerce would have a bar reaching up to 200.

- For the year 2010-11:
- Arts would have a bar reaching up to 550.
- Science would have a bar reaching up to 500.
- Commerce would have a bar reaching up to 250.

- For the year 2011-12:
- Arts would have a bar reaching up to 500.
- Science would have a bar reaching up to 600.
- Commerce would have a bar reaching up to 300.

#### Adding Legend and Labels:
- X-axis: Years (2009-10, 2010-11, 2011-12)
- Y-axis: Number of Students
- Title: "Number of Students in Different Faculties Over Years"
- Legend: Identify each color or pattern uniquely for Arts, Science, and Commerce.

Visualizing it this way helps readers compare the student enrollment trends across faculties and years effectively.

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