Coefficient of Variation Calculator

Coefficient of version Calculator

Use this coefficient of variant calculator to determine the same old deviation value relative to the mean for a sample or population. by using calculating the suggest, CV, and popular deviation, our calculator offers treasured insights into the distribution of statistics, that's beneficial in evaluating the variety of different information sets.

what's the Coefficient of variation (CV)?

The coefficient of variation is the statistical degree this is used to quantify the relative dispersion of a information set. it is the ratio of widespread deviation to the mean and is also known as root imply rectangular deviation (RMSD).

In easy phrases, CV is the degree of relative variability and is used to decide the dispersion of information points around the imply. it is useful in evaluating the relative variability of different statistics units. A higher CV indicates extra variability, which means that the funding is riskier.

Coefficient of version formula:

For Sample:

CV = s x̄

Where:

• s is the sample preferred deviation
• x̄ is the pattern suggest

For populace:

CV = σ μ

Where:

• CV represents the coefficient of variant
• σ is the standard deviation
• μ is imply

A way to Calculate The Coefficient of variant?

Instance To discover Coefficient of variation:

Find the coefficient variant for the samples 62.25, 60.36, 64.28, 61.24, and sixty six.24 of a population.

Solution:

Step N.1: Calculate Mean

Mean = (62.25 + 60.36 + 64.28 + 61.24 + 66.24) 5

Mean = 62.874

Step N.2: Calculate trendy Deviation

SD =  ((1/(5 - 1)) * (62.25- 62.874)² + (60.36- 62.874)² + (64.28- 62.874)² + (61.24 - 62.874)² + (66.24- 62.874)²)

=  5.67158

SD = 2.38150

Step N.3: Calculate (CV)

positioned the values into the coefficient of variation components:

CV = 2.38150 62.874

CV = 0.037877

for a quick evaluation of variability across unique datasets, use our CV calculator.