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Mean square, arithmetic mean of the squares calculator

With this calculator you will calculate the mean square or arithmetic mean of the squares also known as the power mean of the second order.

To get the result, enter the collected data in the text field. Each element must be separated by a comma.

Mean square, arithmetic mean of the squares, power mean of second order

Mean square information

Mean square or arithmetic mean of the squares also known as the power mean of the second order – an example of a statistical measure that allows to estimate the order of magnitude of a series of numerical data or a continuous function, especially useful when the quantities differ by sign. It is the root of the sum of squares of n of these numbers divided by their number.

$$\displaystyle \bar{x}_k = \displaystyle\sqrt{ \frac{\displaystyle\sum^n_{i=1}{x_k^2 }}{n}}=\displaystyle\sqrt{ \frac{x_1^2+x_2^2+x_3^2+...+x_n^2 }{n}}$$

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