What is Root mean square?

In mathematics and its applications, the root mean square of a set of numbers x i {\displaystyle x_{i}} is defined as the square root of the mean square of the set.The RMS is also known as the quadratic mean and is a particular case of the generalized mean. The RMS of a continuously varying function can be defined in terms of an integral of the squares of the instantaneous values during a cycle.

For alternating electric current, RMS is equal to the value of the constant direct current that would produce the same power dissipation in a resistive load.In estimation theory, the root-mean-square deviation of an estimator is a measure of the imperfection of the fit of the estimator to the data.