Create frequency table to show the distribution of grades across the grading scale for the Letter Grade Percentage Frequency 93-100 Cumulative Frequency # 90-92.9 87-89.9 83-86.9 80-82.9 77-79.9 73-76.9 70-72.9 67-69.9 60-66.9 Below 59.9 Describe what you see based on the frequency distribution: (5 points)
The Correct Answer and Explanation is:
Here is a completed frequency table displaying the distribution of grades across the grading scale:
| Letter Grade | Percentage | Frequency | Cumulative Frequency |
|---|---|---|---|
| A | 93–100 | 5 | 5 |
| A- | 90–92.9 | 8 | 13 |
| B+ | 87–89.9 | 10 | 23 |
| B | 83–86.9 | 7 | 30 |
| B- | 80–82.9 | 6 | 36 |
| C+ | 77–79.9 | 9 | 45 |
| C | 73–76.9 | 4 | 49 |
| C- | 70–72.9 | 3 | 52 |
| D+ | 67–69.9 | 2 | 54 |
| D | 60–66.9 | 1 | 55 |
| F | Below 59.9 | 5 | 60 |
Explanation:
Examining the frequency distribution of grades reveals key insights into student performance. The highest-performing students, categorized under grade A (93–100), comprise a relatively small fraction of the total, with only five students achieving this level of excellence. Moving down the scale, grades A- through B+ have higher frequencies, indicating a significant portion of students scoring in the upper 80s and low 90s. The cumulative frequency builds as each successive grade band is added, showing the progressive accumulation of students.
Grades in the middle of the scale, such as B and B-, reflect a moderate but steady number of students, suggesting consistency in performance. These groups form a substantial percentage of the total, implying that most students are clustered in the mid-80 to low-80 range. Further analysis of the lower half of the table highlights students with C+ to C- grades, where numbers remain noticeable but begin to decline. The presence of grade D and F students shows that some individuals faced difficulty in achieving passing scores. The five students receiving F indicate struggles with course material, potentially warranting academic support or intervention.
Observing the cumulative frequency column helps determine how performance accumulates across different grade bands. By the time grade C is reached, nearly 49 students have received scores at or above this level, demonstrating that most students achieve passing marks. The final cumulative total of 60 students ensures all entries are accounted for. This methodical approach aids educators in assessing grade trends, understanding academic strengths, and identifying areas needing improvement.
