Root Mean Square Calculator

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

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 :

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.