To calculate the mean of the data in the dot plot, we need to find the total number of states visited and the total number of observations.
From the dot plot, we can summarize the data:
- 2 states: 0 observations
- 3 states: 3 observations
- 4 states: 4 observations
- 5 states: 1 observation
- 6 states: 2 observations
- 7 states: 1 observation
- 8 states: 2 observations
- 9 states: 0 observations
Now we calculate the total number of states visited:
\[ \text{Total states} = (3 \times 3) + (4 \times 4) + (5 \times 1) + (6 \times 2) + (7 \times 1) + (8 \times 2) \] \[ = (3 \times 3) + (4 \times 4) + (5 \times 1) + (6 \times 2) + (7 \times 1) + (8 \times 2) \] \[ = 9 + 16 + 5 + 12 + 7 + 16 = 65 \]
Now, we find the total number of observations:
\[ \text{Total observations} = 3 + 4 + 1 + 2 + 1 + 2 = 13 \]
Next, we calculate the mean:
\[ \text{Mean} = \frac{\text{Total states}}{\text{Total observations}} = \frac{65}{13} = 5 \]
Thus, the mean number of states visited is 5. The correct answer is:
The mean number of states visited is 5.