To create a dot plot for the data provided, we will plot each value based on the number of students who work that many hours per week. Here is how the dot plot would look:
- For 3 hours: ● ● ● ● ● ● ● (7 dots)
- For 4 hours: ● ● ● ● (4 dots)
- For 5 hours: ● (1 dot)
- For 6 hours: ● ● ● ● (4 dots)
- For 7 hours: ● ● ● ● ● ● ● (7 dots)
Next, let's calculate the mean to find the balancing point of the dataset.
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Total number of students: \[ 7 + 4 + 1 + 4 + 7 = 23 \]
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Calculating the total hours worked: \[ (3 \times 7) + (4 \times 4) + (5 \times 1) + (6 \times 4) + (7 \times 7) \] \[ = 21 + 16 + 5 + 24 + 49 = 115 \]
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Calculating the mean (balancing point): \[ \text{Mean} = \frac{\text{Total hours}}{\text{Total number of students}} = \frac{115}{23} = 5 \]
Thus, the balancing point is 5.
The correct response is: The balancing point is 5.