Introduction: The Weibull Distribution provides clear methods for reduction of experimental data to a descriptive 2 parameter Weibull Equation which can be used to calculate probabilities of various events like earthquakes, or failure of equipment. The Weibull Equation is defined by parameters β and η in contrast to the more familiar average μ and standard deviation σ that describe Gauss (Bell Curve) Distributions. Many users of Weibull may want to know average (or mean) and the standard deviation.
Video by Dr. Garg: Dr Garg created a lucid video that develops closed form equations to compute mean and standard deviation for a Weibull Distribution of known β and η. Use the link below to see this exceptional video by Dr. Garg. Should the link fail, do an Internet search on Dr Harish Garg.
About Dr Garg: Dr. Garg teaches at the Thapar Institute in Punjab India. His lectures are of the highest quality. He presents the relevant equations and provides a lucid explanation of how these "fold into" a closed form equation for computing mean and median for the Weibull Distribution. His presentation is incredibly clear and direct.
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Updated 2 April 2022