Coefficient of Variation Calculator
Introduction & Importance
The coefficient of variation (CV) is a standardized measure of dispersion that compares the standard deviation to the mean. It’s widely used in statistics and data analysis to compare variability between datasets with different means. Understanding how to calculate the coefficient of variation by hand is crucial for data analysis and interpretation.
How to Use This Calculator
- Enter the mean (average) of your dataset.
- Enter the standard deviation of your dataset.
- Click ‘Calculate’.
Formula & Methodology
The formula for the coefficient of variation is:
CV = (Standard Deviation / Mean) * 100
Our calculator uses this formula to compute the CV. It also generates a simple bar chart to visualize the result.
Real-World Examples
Example 1: Exam Scores
Mean: 85, Standard Deviation: 10.5
CV = (10.5 / 85) * 100 = 12.35
Example 2: Salaries
Mean: 50,000, Standard Deviation: 15,000
CV = (15,000 / 50,000) * 100 = 30
Example 3: Heights
Mean: 1.75m, Standard Deviation: 0.05m
CV = (0.05 / 1.75) * 100 = 2.85
Data & Statistics
| Dataset | Mean | Standard Deviation | CV |
|---|---|---|---|
| Exam Scores | 85 | 10.5 | 12.35 |
| Salaries | 50,000 | 15,000 | 30 |
| Heights | 1.75m | 0.05m | 2.85 |
Expert Tips
- CV is unitless, making it easy to compare datasets with different units.
- CV is sensitive to outliers. If your data has outliers, consider using a robust measure of dispersion like the interquartile range.
- CV is not defined for datasets with a mean of zero.
Interactive FAQ
What does a high CV indicate?
A high CV indicates that the dataset has high variability or dispersion. It means that the values are spread out and far from the mean.
What does a low CV indicate?
A low CV indicates that the dataset has low variability or dispersion. It means that the values are close to the mean.
For more information, see the coefficient of variation guide from Statistics How To.