To create a scatter plot for the given data, follow these steps:
1. Set up the axes:
- Label the x-axis as "Number of Playgrounds."
- Label the y-axis as "Number of Picnic Areas."
- Choose an appropriate scale for both axes. Since the number of playgrounds ranges from 2 to 8 and the number of picnic areas ranges from 1 to 5 (assuming [tex]\( s \)[/tex] is not known), you might choose a scale that covers from 0 to 10 for both axes for better visibility.
2. Plot the points:
- For each park, locate the corresponding point on the scatter plot by using the number of playgrounds as the x-coordinate and the number of picnic areas as the y-coordinate.
Now you are ready to plot each point:
- Park A: (8, 5)
- Park B: (6, 4)
- Park C: (3, 1)
- Park D: (2, 4)
- Park E: (6, 3)
- Park F: (7, [tex]\( s \)[/tex])
Since Park F’s number of picnic areas [tex]\( s \)[/tex] is unknown, you will plot it as (7, [tex]\( s \)[/tex]), which means its exact position on the y-axis is not determined.
Here's a mock-up of what your scatter plot might look like:
```
| \
10| \
9| \
8| F\ (7, s)
7| \
6| \
5| A (8, 5)
4| B, D (6, 4), (2, 4)
3| E (6, 3)
2| \
1| C* (3, 1)
0|__|__|__|__|__|__|__|__|__|__|
X 0 1 2 3 4 5 6 7 8 9 10
(Number of playgrounds)
```
In summary, each park is represented as a point. You only plot the points where you have complete data for both the number of playgrounds and picnic areas. The point for Park F will be marked on the x-axis at 7, but its exact position on the y-axis remains undefined due to the unknown value [tex]\( s \)[/tex].
