Answer :
To determine which graph best represents the data in the table of lunches sold in October, let's visualize the numbers given and discuss the types of graphs that provide a clear, accurate, and complete representation.
The table data is as follows:
[tex]\[ \begin{array}{|c|c|} \hline \text{Lunch} & \text{Number Sold} \\ \hline \text{Deli Sandwich} & 300 \\ \hline \text{Hamburger} & 500 \\ \hline \text{Pasta Plate} & 400 \\ \hline \text{Pizza} & 650 \\ \hline \text{Soup Combo} & 350 \\ \hline \end{array} \][/tex]
To visualize these numbers effectively, let's consider a bar graph, as it is among the best ways to represent categorical data (data divided into categories, in this case, types of lunches). Here’s a step-by-step guide on how to construct and interpret such a graph:
1. Title: Clearly state the title of the graph. For instance, "Number of Each Type of Lunch Sold in October."
2. Axes:
- Horizontal Axis (X-axis): Label this axis with the categories (types of lunches). Keep an equal distance between the labels and ensure they are clearly readable.
- Vertical Axis (Y-axis): This should represent the number of lunches sold. It should start from 0 and go up to a value slightly higher than the highest number sold (e.g., 700 for this data).
3. Bars:
- Each category (Deli Sandwich, Hamburger, Pasta Plate, Pizza, Soup Combo) should have one bar.
- The height of each bar should correspond to the number sold.
### Example Graph Description:
- Deli Sandwich: The bar should reach up to 300 on the Y-axis.
- Hamburger: The bar should reach 500 on the Y-axis.
- Pasta Plate: The bar should reach 400 on the Y-axis.
- Pizza: The bar should be the tallest, reaching 650 on the Y-axis.
- Soup Combo: The bar should reach up to 350 on the Y-axis.
The categories on the X-axis will be labeled as “Deli Sandwich,” “Hamburger,” “Pasta Plate,” “Pizza,” “Soup Combo,” and the Y-axis will be labeled with increments (e.g., 100, 200, 300, etc.) up to at least 650.
### Interpreting the Graph:
- The heights of the bars allow quick comparison:
- Pizza is the most popular item with 650 sold.
- Hamburger follows with 500 sold.
- Pasta Plate and Soup Combo are moderate in popularity with 400 and 350 sold respectively.
- Deli Sandwich has the least sales at 300.
This bar graph not only makes the data easily accessible but also enables one to compare the popularity of different lunch items at a glance.
In conclusion, a bar graph constructed in the described manner will best correctly and completely represent the data provided in the table.
The table data is as follows:
[tex]\[ \begin{array}{|c|c|} \hline \text{Lunch} & \text{Number Sold} \\ \hline \text{Deli Sandwich} & 300 \\ \hline \text{Hamburger} & 500 \\ \hline \text{Pasta Plate} & 400 \\ \hline \text{Pizza} & 650 \\ \hline \text{Soup Combo} & 350 \\ \hline \end{array} \][/tex]
To visualize these numbers effectively, let's consider a bar graph, as it is among the best ways to represent categorical data (data divided into categories, in this case, types of lunches). Here’s a step-by-step guide on how to construct and interpret such a graph:
1. Title: Clearly state the title of the graph. For instance, "Number of Each Type of Lunch Sold in October."
2. Axes:
- Horizontal Axis (X-axis): Label this axis with the categories (types of lunches). Keep an equal distance between the labels and ensure they are clearly readable.
- Vertical Axis (Y-axis): This should represent the number of lunches sold. It should start from 0 and go up to a value slightly higher than the highest number sold (e.g., 700 for this data).
3. Bars:
- Each category (Deli Sandwich, Hamburger, Pasta Plate, Pizza, Soup Combo) should have one bar.
- The height of each bar should correspond to the number sold.
### Example Graph Description:
- Deli Sandwich: The bar should reach up to 300 on the Y-axis.
- Hamburger: The bar should reach 500 on the Y-axis.
- Pasta Plate: The bar should reach 400 on the Y-axis.
- Pizza: The bar should be the tallest, reaching 650 on the Y-axis.
- Soup Combo: The bar should reach up to 350 on the Y-axis.
The categories on the X-axis will be labeled as “Deli Sandwich,” “Hamburger,” “Pasta Plate,” “Pizza,” “Soup Combo,” and the Y-axis will be labeled with increments (e.g., 100, 200, 300, etc.) up to at least 650.
### Interpreting the Graph:
- The heights of the bars allow quick comparison:
- Pizza is the most popular item with 650 sold.
- Hamburger follows with 500 sold.
- Pasta Plate and Soup Combo are moderate in popularity with 400 and 350 sold respectively.
- Deli Sandwich has the least sales at 300.
This bar graph not only makes the data easily accessible but also enables one to compare the popularity of different lunch items at a glance.
In conclusion, a bar graph constructed in the described manner will best correctly and completely represent the data provided in the table.
