The Percent Relative Standard Deviation calculator computes the percent relative standard deviation based on the standard deviation for a sample and the mean for the sample.
INSTRUCTIONS: Enter the following:
Percent Relative Standard Deviation (%RSD): The calculator returns the percent.
The percent relative standard deviation (%RSD) is also known as the coefficient of variation (CV). The %RSD is a measure of the dispersion of a probability distribution. Dividing the standard deviation by the mean of the data provides the relative magnitude of the standard deviation. This equation returns the %RSD as the percentage; i.e. an RSD for `sigma` = .05 and a `barx` = 1.0 should give you 5.0 percent as the output.
%RSD = `sigma / barx` x 100%
Theis the divided by the as follows:
The formula for sample standard deviation:
`sigma = sqrt((sum_1^n(x_n-mu)^2)/(n-1))`
This equation is also represented in the Science/Chemistry/Analytical domain