Root Mean Square Calculator

Dataset set
comma separated input values
Number of samples  =  5
Root mean square  =  835.8

Root Mean Square (RMS) - work with steps

Input Data :
Data set = 4, 12, 25, 37, 45
Total number of elements = 5

Objective :
Find what is root mean square for given input data?

Formula :
RMS, Quadratic Mean, Root Mean Square Formula

Solution :
xrms = √(4) 2 + ( 12) 2 + ( 25) 2 + ( 37) 2 + ( 45)2/5
= √(16 + 144 + 625 + 1369 + 2025)/5
= 4179/5
xrms = 835.8

Root Mean Square Calculator is an online statistics tool for data analysis programmed to calculate the RMS or Root Mean Square or Quadratic Mean for set of varying data. In data analysis many situations involving Voltage, Current, Speed, Velocity, Distance, Magnitude, it is necessary to calculate the Root Mean Square Value for a set of data with varying quantity.

Definition - Root Mean Square (RMS)

Root Mean Square is a statistical measure of the effective magnitude for a varying set of values, also called as RMS or Quadratic Mean. The square root of an arithmetic mean of the squares of each exact values of a data set offers RMS value of a data set. RMS is an abbreviation of Root mean square value and also known as Quadratic Mean.

RMS or Quadratic Mean Formula

The RMS or Quadratic Mean for given set of varying data {x1, x2, x3, ...xn}, can be derived from the formula

RMS, Quadratic Mean, Root Mean Square Formula

The collection of tools employs the study of methods and procedures used for gathering, organizing, and analyzing data to understand theory of Probability and Statistics. The set of ideas which is intended to offer the way for making scientific implication from such resulting summarized data. In many applications it is necessary to calculate the RMS for a set of data with varying quantities. With this online root mean square calculator you can effortlessly make your calculation for the set of given observations.