Coefficient of Range Calculator
Measure relative dispersion in your dataset with this powerful statistical tool
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📊 Understanding the Coefficient of Range
What is Coefficient of Range?
The Coefficient of Range (COR) is a measure of relative dispersion that expresses the range as a percentage of the sum of the maximum and minimum values in the dataset. It's calculated as:
This standardized measure allows comparison of dispersion across datasets with different units or scales.
How to Interpret Results
- 0-20%: Very low dispersion (data points are very close)
- 20-40%: Low dispersion
- 40-60%: Moderate dispersion
- 60-80%: High dispersion
- 80-100%: Very high dispersion (data points are widely spread)
When to Use COR
The Coefficient of Range is particularly useful when:
- Comparing variability between different datasets
- Working with data measured in different units
- You need a quick measure of relative dispersion
- Your data has extreme values (as it's less affected than variance)
📚 Practical Applications
Financial Analysis
Compare price volatility of different stocks or assets regardless of their price levels.
Quality Control
Measure consistency in manufacturing processes across different product lines.
Climate Studies
Compare temperature variations between different geographic locations.
Education Research
Analyze score distributions across different tests or student groups.
Market Research
Compare price variations of similar products across different retailers.
Medical Studies
Analyze variability in patient responses to different treatments.
🔍 Comparison with Other Dispersion Measures
| Measure | Calculation | Pros | Cons | When to Use |
|---|---|---|---|---|
| Coefficient of Range | (Max-Min)/(Max+Min) | Simple, unitless, good for comparison | Sensitive to outliers, ignores distribution shape | Quick comparison, different units |
| Standard Deviation | √(Σ(x-μ)²/N) | Uses all data points, well-understood | Affected by outliers, unit-dependent | Normal distributions, parametric tests |
| Coefficient of Variation | (σ/μ)×100 | Unitless, good for comparison | Undefined when mean is zero | Comparing variability with different means |
| Interquartile Range | Q3-Q1 | Robust to outliers | Ignores 50% of data | Skewed distributions, outlier presence |
Note: The Coefficient of Range is a simple measure of dispersion but can be sensitive to outliers. For more robust analysis, consider using other measures like standard deviation or interquartile range.