Power Mean Calculator

The power mean calculator is a free online tool for calculating the power mean of a set of numbers.

The power mean (also called generalized mean) refers to the p-root of the average of the p-powers of a set of positive numbers. The formula is

Where p and x_i are both greater than 0. n is the total number of numbers in the dataset.

1. Find the p power of each number.
2. Add up all the values of the p power.
3. Calculate the mean of p-power values.
4. Calculate the power The p-root of the mean.

For example, find the power mean of 3 power of the dataset [5,10,15,20].

M₃ = (5³ + 10³ + 15³ + 20³4)^1/3

= (125 + 1000 + 3375 + 80004)^1/3

= (125004)^1/3

= (3125)^1/3

= 14.62

Using the calculator is simple, follow these 2 steps:

Like the example above. Enter 5, 10, 15, 20 in the first input box and enter 3 in the second input box. Then, click Calculate button.

As shown in the figure, the result of the mean square calculator calculation is also 14.62.