Frequency Distribution Calculator
Free frequency distribution calculator. Build frequency tables, class boundaries, midpoints, relativ
Why This Statistical Analysis Matters
Why: Statistical calculator for analysis.
How: Enter inputs and compute results.
Frequency Distribution โ Build Frequency Tables
Build frequency tables: absolute, relative, cumulative frequencies. Auto-bins with Sturges' rule or custom class intervals.
Real-World Scenarios โ Click to Load
| Class | Midpoint | f | Relative | Cumulative | Cum. Rel. | % |
|---|---|---|---|---|---|---|
| 72.00 โ 75.83 | 73.92 | 2 | 0.1000 | 2 | 0.1000 | 10.00% |
| 75.83 โ 79.67 | 77.75 | 3 | 0.1500 | 5 | 0.2500 | 15.00% |
| 79.67 โ 83.50 | 81.58 | 4 | 0.2000 | 9 | 0.4500 | 20.00% |
| 83.50 โ 87.33 | 85.42 | 4 | 0.2000 | 13 | 0.6500 | 20.00% |
| 87.33 โ 91.17 | 89.25 | 4 | 0.2000 | 17 | 0.8500 | 20.00% |
| 91.17 โ 95.00 | 93.08 | 3 | 0.1500 | 20 | 1.0000 | 15.00% |
Calculation Breakdown
Frequency Bar Chart
Cumulative Frequency Ogive
Relative Frequency Chart
For educational and informational purposes only. Verify with a qualified professional.
Key Takeaways
- โข Frequency (f): count of values in each class interval
- โข Relative frequency: f/n โ proportion of data in each class
- โข Cumulative frequency: running total โ shows how many values fall at or below each upper bound
- โข Sturges' rule: k = โ1 + 3.322 ร logโโ(n)โ for auto-binning
Did You Know?
How Frequency Distributions Work
A frequency distribution organizes raw data into class intervals and counts how many values fall in each.
Step 1: Choose Class Intervals
Use auto (Sturges' rule) or specify number of classes or class width.
Step 2: Count Frequencies
For each class, count data points. f = count. Relative = f/n. Cumulative = running sum of f.
Frequency Types Compared
| Type | Formula | Use |
|---|---|---|
| Absolute (f) | Count in class | Raw counts |
| Relative | f / n | Proportions; sum = 1 |
| Cumulative | Running sum of f | Ogive; percentiles |
| Percentage | Relative ร 100 | Easy interpretation |
Frequently Asked Questions
What is Sturges' rule?
Sturges' rule gives k = ceil(1 + 3.322รlog10(n)) classes. It's a heuristic for choosing the number of bins.
What is the difference between frequency and relative frequency?
Frequency is the raw count. Relative frequency = count/total, so it sums to 1.
What is a cumulative frequency ogive?
A line graph of upper class boundaries vs cumulative frequency. S-shaped.
Frequency Distribution at a Glance
Official Data Sources
Disclaimer: Sturges' rule is a guideline. For skewed or multimodal data, consider Freedman-Diaconis or custom binning.
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