A group of nine students has a mean of 3.5 people in their households. Make a line plot showing an example of this data set

Mean is an average. It is a measure of central tendency. The sum of all the people added together and then divided by the number of students.

To make a line plot showing this data set, we need to create a graphical representation that displays the number of people in each household for the nine students.

To begin, we can list the number of people in each of the nine households:

Household 1: 4 people
Household 2: 3 people
Household 3: 2 people
Household 4: 3 people
Household 5: 4 people
Household 6: 2 people
Household 7: 4 people
Household 8: 3 people
Household 9: 2 people

Now, let's create the line plot:

1. Draw a horizontal number line starting from 1 to the highest value (4 in this case).
2. Label the number line with the numbers 1, 2, 3, and 4.
3. Above the number line, draw a line that extends across the entire length of the number line.
4. Use a scale so that each unit on the number line represents one person.
5. For each household, draw a small vertical line (or dot) above the corresponding number on the number line. The length of the line (or height of the dot) represents the number of people in that household.

The line plot will then look like this:

```
|
| 4
| 3
| 2
| 1
--------------------
1 2 3 4
```

In this particular example, the line plot shows the number of people in each household for the group of nine students with a mean of 3.5 people per household.

To create a line plot representing a data set with the given information, follow these steps:

Step 1: Determine the data values
Given that the mean is 3.5 people, we know that the data set will consist of nine values that sum up to 31.5 (9 * 3.5).

Step 2: Arrange the data values
Let's distribute the data values in various combinations. Remember, the sum of the nine values should be equal to 31.5.

Here's an example:
2.5, 3.5, 4.5, 3.5, 3.5, 2.5, 2.5, 3.5, 5.0

Step 3: Create the line plot
A line plot represents each data value as a dot above a number line. Each dot height represents the frequency or the number of times that value occurs.

Below is a line plot representing the example data set:

```
2 3 4 5
. . . .
. . . .
. . .
. .
```

In this plot, the numbers 2, 3, 4, and 5 represent the number of people in each household. The dots (".") above each number represent the frequency of each value.