Root Mean Square Calculator

Created By : Vaibhavi Kumari

Reviewed By : Phani Ponnapalli

Last Updated : May 02, 2025

This Calculator is a free online application that calculates the root mean values. Root Mean Square Calculator is a free online application that displays the root mean square value for the supplied input variables.

Enter all the numbers separated by comma ','


Root Mean Square Calculator: The online root mean square calculator tool speeds up the calculation and provides the root mean square value in a matter of seconds. Initiate by entering your numbers into our root mean square calculator. Eight fields are visible at initially, but as you progress, new fields will appear. You have a total of 30 numbers to choose from.The RMS calculator will display the root mean square of your numbers at the bottom. As you add more and more variables, it will update.

Root Mean Square Definition & Formula

The quadratic mean is another name for the root mean square. RMS or rms is the symbol for it. The square root of the mean square is known as the root mean square. It's also known as a generalised mean with a value of 2 as the exponent. The root mean square value is calculated as follows:

Root Mean Square/Quadratic Mean Formula is√((X1)2+(X2)2+(X3)2+........+(Xn)2/n)

Where,

  • n be the total number of observations
  • X1, X2, X3, . . . , Xnbe the different n terms

The following steps can be used to determine mean using the Root mean square Calculator.

  • Firstly find out the sum of individual squares of observations.
  • Divide the result obtained earlier with number of observations.
  • Now obtain the square root of the value obtained in earlier step to get the root mean square value.

Along with this free and handy online Root Mean Square calculator, you can also try other math concepts calculator tools by visiting this trusted portal called onlinecalculator.guide

Example:

What is the root mean square of the following data: 2,4,6,8,10?

Solution:

Consider the problem, we have

Number of terms n = 5

The set of data = 2,4,6,8,10

The Root Mean Square formula is √((X1)2+(X2)2+(X3)2+.....+(Xn)2/n)

RMS = √((2)2+(4)2+(6)2+(8)2+(10)2)/5)

RMS =√44

RMS = 6.633

Therefore, The root mean square value is 6.633

FAQs on Root mean square Calculator

1. What is a RMS calculator ?

Root Mean Square Calculator is a free online application that displays the root mean square value for the supplied input variables. The online root mean square calculator tool speeds up the calculation and provides the root mean square value in a matter of seconds.

2. What is the definition of root mean square ?

A measure of the magnitude of a group of numbers is the root mean square. It provides you an idea of how big the numbers are on average.

3.How can you find square roots without a calculator?

To find the square root of a number without using a calculator, try if you can square smaller integers or multiply a smaller number by itself to get to the complete number. If the integer is a perfect square, the square root will be a full number.

4. What is the formula for root mean square?

The square root of the arithmetic mean of a data set or a set of integers is defined as the root mean square (RMS). The formula for root mean square (RMS) is:√((X1)2+(X2)2+(X3)2+........+(Xn)2/n)