Frequency Table
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Frequency Tables
What is a Frequency Table?
A frequency table is a statistical tool that organizes data by displaying how often each distinct value occurs in a dataset. It provides a structured way to summarize data distribution through counts and percentages.
Absolute Frequency
The actual count of how many times each value appears in the dataset.
- Raw counts
- Direct observations
- Actual frequencies
Relative Frequency
The proportion or percentage of each value in relation to the total.
- Proportions
- Percentages
- Ratios
Key Components
Essential Elements:
- Categories or values
- Frequency counts
- Relative frequencies
- Cumulative frequencies
Optional Elements:
- Class intervals
- Percentage distribution
- Summary statistics
- Visual representations
Academic Example: Final Exam Scores Distribution
Distribution of final exam scores for 100 students in a statistics course.
Score Distribution
| Score Range | Grade | Frequency | Percentage | Cumulative % |
|---|---|---|---|---|
| 90-100 | A | 15 | 15.0% | 15.0% |
| 80-89 | B | 25 | 25.0% | 40.0% |
| 70-79 | C | 35 | 35.0% | 75.0% |
| 60-69 | D | 20 | 20.0% | 95.0% |
| Below 60 | F | 5 | 5.0% | 100.0% |
Grade Distribution
Key Insights:
- Mode: Grade C (Most common grade)
- 40% of students received grades B or higher
- Only 5% of students failed the exam
- The distribution shows a roughly normal curve
This frequency table helps instructors understand the overall class performance, identify areas for improvement, and compare with expected grade distributions.
Related Links
Mean, Median, Mode Calculator
Contingency Table Calculator
Five-number Summary Calculator
Bar Chart
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