To find the mean of the data represented in the dot plot, we need to calculate the total number of states visited and the total number of observations.
The dot plot can be represented as follows:
- 2 states: 0 dots
- 3 states: 3 dots
- 4 states: 4 dots
- 5 states: 1 dot
- 6 states: 2 dots
- 7 states: 1 dot
- 8 states: 2 dots
- 9 states: 0 dots
Now, let's calculate the total number of states visited and the total number of observations:
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Total states visited:
- \(3 \text{ (from 3 states)} \times 3 = 9\)
- \(4 \text{ (from 4 states)} \times 4 = 16\)
- \(5 \text{ (from 5 states)} \times 1 = 5\)
- \(6 \text{ (from 6 states)} \times 2 = 12\)
- \(7 \text{ (from 7 states)} \times 1 = 7\)
- \(8 \text{ (from 8 states)} \times 2 = 16\)
Now sum these: \[ 9 + 16 + 5 + 12 + 7 + 16 = 65 \]
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Total number of observations:
- \(0 + 3 + 4 + 1 + 2 + 1 + 2 + 0 = 13\)
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Calculating the mean: \[ \text{Mean} = \frac{\text{Total states visited}}{\text{Total observations}} = \frac{65}{13} = 5 \]
Therefore, the mean number of states visited is 5.
The correct response is: The mean number of states visited is 5.