Root Mean Square (Quadratic Mean) Calculator

Use our simple online Root Mean Square calculator to find the solution with step-by-step explanation.

Share Mean Calculator

Add to Bookmarks

Add Mean Calculator to Your Browser Bookmarks

1. For Windows or Linux - Press Ctrl+D

2. For MacOS - Press Cmd+D

3. For iPhone (Safari) - Touch and hold, then tap Add Bookmark

4. For Google Chrome - Press 3 dots on top right, then press the star sign

How to use the Root Mean Square Calculator


Step 1

Enter your set of numbers in the input field. Numbers must be separated by commas.


Step 2

Press Enter on the keyboard or on the arrow to the right of the input field.


Step 3

In the pop-up window, select “Root Mean Square”. You can also use the search.

What is Root Mean Square

The Root Mean Square (RMS) or Quadratic Mean is a number equal to the square root of the arithmetic mean of the squares of the given numbers. It is a special case of the average staid and therefore submits to inequality about the average. In particular, for any number it is no less than the average arithmetic.

The Root Mean Square is widely used in many sciences. In particular, it defines the basic concept of probability theory and mathematical statistics - variance (the square root of which is called medium-square deviation). Also closely related to this concept is the method of the smallest squares, which has a general scientific value.