To determine which statement is true based on the provided dot plots for teachers and students, we can analyze the data step by step.
1. Calculate the median number of siblings:
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For teachers, the number of siblings is distributed as follows:
- 0: 3
- 1: 3
- 2: 4
- 3: 3
- 4: 2
- 5: 3
- 6: 1
- 9: 1
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The total number of teachers is 20. The median will fall between the 10th and 11th values when organized in ascending order.
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Sorted list: 0 (3), 1 (3), 2 (4), 3 (3), 4 (2), 5 (3), 6 (1), 9 (1) --> 0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,5,5,5,5,6,9.
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The 10th and 11th values are both 2 and 3, so the median for teachers is (2+3)/2 = 2.5.
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For students, the number of siblings is distributed as follows:
- 0: 1
- 1: 2
- 2: 4
- 3: 5
- 4: 4
- 5: 1
- 6: 2
- 7: 1
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The total number of students is also 20. Similarly, the median falls between the 10th and 11th values.
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Sorted list: 0 (1), 1 (2), 2 (4), 3 (5), 4 (4), 5 (1), 6 (2), 7 (1) --> 0,1,1,2,2,2,2,3,3,3,3,4,4,5,6,6,6,7,7.
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The 10th and 11th values are both 3, so the median for students is 3.
Thus, the median for students (3) is higher than the median for teachers (2.5).
2. Calculate the maximum number of siblings:
- For teachers, the maximum number of siblings is 9.
- For students, the maximum number of siblings is 7.
- Therefore, the maximum number of siblings for students is not greater than for teachers.
3. Calculate the mean number of siblings:
- The mean for teachers can be calculated based on weighted averages of siblings.
- For students, similarly calculate the mean.
Given that we are requested to evaluate the statements:
- The first statement is true: "The median number of siblings for students is higher than the median number of siblings for teachers."
Thus, the correct answer is: The median number of siblings for students is higher than the median number of siblings for teachers.