Question

Ella surveys a random sample of 20 seventh graders about the number of siblings they have.
The table shows the results of her survey.
student. A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,R,S
number. 1,1,2,0,2,1,3,1,1,6,1,2,3,2,1,3,2,0,2.
. Model with Math Draw a model to show how Ella can best display her data.

Answer 1

To best display Ella's survey data regarding the number of siblings the seventh graders have, a bar graph or a frequency distribution table would be suitable. Here’s how you can model this:

### Frequency Distribution Table
We can create a frequency distribution table to summarize the number of siblings:

| Number of Siblings | Frequency |
|--------------------|-----------|
| 0 | 2 |
| 1 | 8 |
| 2 | 5 |
| 3 | 4 |
| 6 | 1 |

This table shows the number of siblings on one side and how many students reported that number on the other side.

### Bar Graph
Alternatively, you can create a bar graph to visually represent the data:

1. **X-axis**: Number of Siblings (0, 1, 2, 3, 6)
2. **Y-axis**: Frequency (number of students)
3. **Bars**: Each bar represents the number of students for each respective number of siblings.

#### Steps for the Bar Graph:
- Draw the X-axis and label it with the different numbers of siblings.
- Draw the Y-axis and label it with the frequency count.
- For each number of siblings, draw a bar that reaches up to its corresponding frequency from the table.

### Example of a Bar Graph
- **Bar for 0 siblings**: Height up to 2
- **Bar for 1 sibling**: Height up to 8
- **Bar for 2 siblings**: Height up to 5
- **Bar for 3 siblings**: Height up to 4
- **Bar for 6 siblings**: Height up to 1

Using either the frequency distribution table or the bar graph will provide a clear and effective way for Ella to display her survey data.