To create a dot plot for the data provided, we need to represent the distances and their frequencies with dots.
Here is the breakdown of the distances and how many dots we will place for each:
- 1 mile: 2 dots
- 2 miles: 2 dots
- 3 miles: 4 dots
- 4 miles: 4 dots
- 5 miles: 2 dots
- 6 miles: 2 dots
Now, we visualize it. On a number line, we would plot it as follows:
Distance (miles)
0 1 2 3 4 5 6
● ● (2 dots for 2)
● ● ● ● (4 dots for 3)
● ● ● ● (4 dots for 4)
● ● (2 dots for 5)
● ● (2 dots for 6)
So the dot plot will look like this:
1: ● ●
2: ● ●
3: ● ● ● ●
4: ● ● ● ●
5: ● ●
6: ● ●
Each dot represents one frequency of the distance biked. You will have a total of 16 dots in your plot.