To assess whether Margo can use the data to convince her father to change her curfew, let's analyze the information provided in the dot plot and the interpretations listed.
The dot plot shows the following data:
- 8 P.M.: 4 dots (4 students)
- 9 P.M.: 9 dots (9 students)
- 10 P.M.: 2 dots (2 students)
- 11 P.M.: 1 dot (1 student)
From this data:
- Total students surveyed: 4 (at 8 P.M.) + 9 (at 9 P.M.) + 2 (at 10 P.M.) + 1 (at 11 P.M.) = 16 students.
- Curfew of 9 P.M. or earlier (8 P.M. and 9 P.M.): 4 (at 8 P.M.) + 9 (at 9 P.M.) = 13 students, which is more than 10 P.M. or later.
- Curfew of 10 P.M. or later (10 P.M. and 11 P.M.): 2 (at 10 P.M.) + 1 (at 11 P.M.) = 3 students.
Now, let's evaluate the options for Margo:
-
Yes; Most students have a curfew of 10 P.M. or later.
This is incorrect, as only 3 out of 16 students (less than 20%) have a curfew of 10 P.M. or later. -
Yes; More students have a curfew of 9 P.M. than any other time.
This is correct; 9 students have a curfew of 9 P.M., which is more than the others. However, this point does not support Margo's argument for extending her curfew to 10 P.M. -
No; Most students have a curfew of 9 P.M. or earlier.
This is true; 13 out of 16 students have a curfew of 9 P.M. or earlier, which supports the idea that the majority of students do not stay out later. -
No; More students have a curfew of 10 P.M. or 11 P.M. than 8 P.M.
This statement is false, as only 3 students have a curfew of 10 P.M. or later, compared to 4 at 8 P.M.
Given this analysis, option 3 is the best fit for describing the data accurately. Therefore, Margo cannot convincingly use the data to argue for extending her curfew to 10 P.M., as most students in her sample have a curfew of 9 P.M. or earlier.
Conclusion: No; Most students have a curfew of 9 P.M. or earlier.
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