To create a dot plot for the data provided, we will mark each hour worked by each student. Here's how the dot plot would look for the data:
- 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)
Now let's calculate the mean (average) to determine the balancing point. The calculation of the mean is done by:
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Multiplying each hour by the number of students:
- \( 3 \times 7 = 21 \)
- \( 4 \times 4 = 16 \)
- \( 5 \times 1 = 5 \)
- \( 6 \times 4 = 24 \)
- \( 7 \times 7 = 49 \)
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Adding these products together:
- \( 21 + 16 + 5 + 24 + 49 = 115 \)
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Counting the total number of students:
- \( 7 + 4 + 1 + 4 + 7 = 23 \)
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Dividing the total hours by the number of students to find the mean:
- Mean = \( \frac{115}{23} \approx 5 \)
Thus, the balancing point of the dataset (i.e., the mean) is 5.
So the correct response is:
The balancing point is 5.