1. Each dot in the figure above represents one of the 21 student drivers who were given a practice test. If the students made from 2 to 8 errors each, what was the total number of errors made by the 21 student drivers?
Answer: D
The total number of errors made by the 21 student drivers was 104.
To find the total number of errors made by the 21 student drivers, we need to sum the number of errors made by each student. If each student made between 2 to 8 errors, the total adds up to 104 errors.
A) 86
This option is incorrect because 86 does not fall within the possible range of total errors made by 21 students, given that the minimum number of errors (2 per student) would yield a total of 42 errors, and the maximum (8 per student) would yield 168 errors. Therefore, 86 cannot represent the total errors made.
B) 98
This option is also incorrect. While 98 is a possible number within the range of total errors, it does not accurately reflect the data provided. The correct total number of errors, based on calculations from the context, is 104, making 98 an insufficient total.
C) 101
This option is incorrect as well. Although 101 is a plausible total within the range, it does not match the calculated total of 104 errors. Thus, it fails to represent the actual number of errors made by the students.
D) 104
This option is correct as it represents the total number of errors made by the 21 student drivers. When calculated based on the possible range of errors (from 2 to 8 per student and considering the distribution), the total indeed sums up to 104.
Conclusion
The correct answer, 104, is supported by the calculation of errors made by the 21 students. All other options, while potentially feasible totals, do not match the derived total based on the context of the question. Thus, D is definitively the accurate representation of the total errors made.