Final answer:
The question requires organizing final exam math and history grades into a frequency table by intervals. The intervals reflect the distribution of grades and the number of students within each range, which helps in visualizing performance and identifying areas for improvement.
Step-by-step explanation:
The data provided appears to correspond to final exam math grades and final exam history grades for a group of students. To analyze the performance of the students on their exams, we can organize the grades into a frequency table using the specified grade intervals. By counting how many exam grades fall within each interval, we can determine the number of students in each category.
Frequency Table:
- 50-56.5: 3 students (54 Math, 56 Math, 51 History)
- 56.5-62.5: 1 student (60 History)
- 62.5-68.5: 3 students (68 Math, 63 History, 69 Math)
- 68.5-74.5: 4 students (74 Math, 72 History, 77 Math, 69 History)
- 74.5-80.5: 4 students (77 Math, 82 History, 78 Math, 78 History)
- 80.5-86.5: 0 students
- 86.5-92.5: 1 student (88 Math)
- 92.5-98.5: 3 students (97 Math, 95 History, 95 Math)
This frequency table can be a useful tool for visualizing the distribution of grades, seeing how many students scored within specific ranges, and identifying any potential areas for academic support or enhancement of learning.