Mean Variance Standard Deviation

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Mean, Variance, Standard Deviation Assignment Homework help

Mean Absolute Deviation

The mean absolute deviation (MAD) is the average of absolute values of deviations around the mean for a set of numbers

MAD = Σl x - μ l


Because absolute values are not conducive to easy manipulations, mathematicians developed an alternative mechanism for over coming the zero-sum property of deviations from the mean. The result is variance, an important measure of variability.

The variance is the average of the squared deviations about the arithmetic mean for a set of numbers. The population variance is denoted by

σ2Σ (x - μ)2

Standard Deviation

The standard deviation is a popular measure of variability. It is used both a s separate entity and as a part of other analyses, such as computing confidence intervals and in hypothesis testing.

σ = √Σ (x - μ)2

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