The standard deviation is a measure that indicates the extent to which the peaks and troughs of a wave differ on average from the mean voltage. A large standard deviation is a measure of large amplitude waves, i.e., on average the peaks and troughs differ by a large extent from the mean voltage.
The weighted average formula is used to calculate the average value of a particular set of numbers with different levels of relevance. The relevance of each number is called its weight. The weights should be represented as a percentage of the total relevancy. Therefore, all weights should be equal to 100%, or 1.
: (1) This idea can be generalized to allow the calculation of the weighted average of a continuous function. f.x/. Here the individual weights are replaced by a weighting functionw.x/, so that the âweightâ off.x/. at x is w.x/ dx. We also replace the summations in Eq. (1) with integrals; the weighted average off.x/is.