Six Sigma and Beyond: Statistics and Probability, Volume III

  1. Mean of all observed data (running average)

    where X(i) is the value of the i-th individual observation

    n is the total number of observations

    i is the sum index over all n-observed data values.

  2. Mean of frequency grouped data (ranked and stacked )

    where X k is the nominal value of the k-th cell

    f k is the frequency of observations occurring in the k-th cell

    n c is the number of cells or data groups (n c ‰ n)

  3. Mean of discrete probability density function (pdf)

    where f(X k ) = is probability of cell random variable X k

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