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# What is Average and RMS Value?

Average:

In Mathematics, the average is defined as the sum of all the given values divided by the total number of given numbers.

If x1, x2, x3, … xn are the given values, then the average is calculated as:

Average = (x1+x2+x3+…+xn)/n

Root Mean Square (RMS)

Root Mean Square (RMS) is also called the quadratic mean, which is the special case of the generalized mean with exponent value as 2.

If x1, x2, x3, … xn are the given “n” values, then the root mean square is calculated as:

Root Mean Square =

$$\begin{array}{l}\sqrt{\frac{x_{1}^{2}+x_{2}^{2}+x_{3}^{2}+…+x_{n}^{2}}{n}}\end{array}$$