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# How To Calculate Coefficient of Variation?

How to calculate Coefficient of Variation (CV) / Relative Standard Deviation (RSD)?

## RSD (Relative Standard Deviation) Calculation

The Coefficient of Variation (CV) is also known as Relative Standard Deviation (RSD). In Probability theory and Statistics, Coefficient of variation is defined as the ratio of standard deviation Ïƒ to the mean Î¼. It is usually expressed in terms of percentage. The CV / RSD is widely used in analytical chemistry, engineering or physics to perform quality assurance test. Let us learn how to calculate coefficient of variation in statistics with this simple step by step tutorial.

Formula Used:
Coefficient Of Variation (CV) = ( Standard Deviation Ïƒ / Mean Î¼ ) x 100
Learn How to Calculate Standard Deviation?

Step 1:RSD Example
Consider a date set with mean as 80 and standard deviation as 12.Calculate its CV/RSD.
Given,
Mean Î¼ = 80
Standard Deviation Ïƒ = 12

Step 2: RSD (Relative Standard Deviation) Calculation
Applying the values in the formula,
Coefficient Of Variation (CV) = ( Standard Deviation Ïƒ / Mean Î¼ ) x 100
CV / RSD = (12/80) x 100
= 0.15 x 100
= 15%