Program to calculate Root Mean Square

01 Apr, 2021
Given an array of N numbers. The task is to calculate the Root Mean Square(RMS) of the given numbers. Examples:  
Input: arr[] = {1, 2, 3, 4, 5}
Output: 3.31662

Input: arr[] = {10, 4, 6, 8}
Output: 7.34847
 
Approach: The Root Mean Square value of N numbers x1,x2,x3,.....xn can be given as,  
RMS method first calculates the square of each number and then calculate the mean and finally calculate the square root of the mean.Below is the program to find RMS of N numbers:  
C++
Java
Python3
C#
PHP
Javascript
// CPP program to calculate Root Mean Square#include <bits/stdc++.h>using namespace std; // Function that Calculate Root Mean Squarefloat rmsValue(int arr[], int n){    int square = 0;    float mean = 0.0, root = 0.0;     // Calculate square.    for (int i = 0; i < n; i++) {        square += pow(arr[i], 2);    }     // Calculate Mean.    mean = (square / (float)(n));     // Calculate Root.    root = sqrt(mean);     return root;} // Driver codeint main(){    int arr[] = { 10, 4, 6, 8 };    int n = sizeof(arr) / sizeof(arr[0]);     cout << rmsValue(arr, n);     return 0;}
// Java program to calculate// Root Mean Square class GFG{ // Function that Calculate Root// Mean Squarestatic float rmsValue(int arr[], int n){    int square = 0;    float mean = 0;    float root = 0;     // Calculate square.    for(int i = 0; i < n; i++)    {        square += Math.pow(arr[i], 2);    }         // Calculate Mean.    mean = (square / (float) (n));     // Calculate Root.    root = (float)Math.sqrt(mean);     return root;}  // Driver Codepublic static void main(String args[]){    int arr[] = { 10, 4, 6, 8};         int n = arr.length;         System.out.println(rmsValue(arr, n));}} // This code is contributed by ANKITRAI1
#Python3 program to calculate Root Mean Square import math#Function that Calculate Root Mean Squaredef rmsValue(arr, n):    square = 0    mean = 0.0    root = 0.0         #Calculate square    for i in range(0,n):        square += (arr[i]**2)         #Calculate Mean    mean = (square / (float)(n))         #Calculate Root    root = math.sqrt(mean)         return root #Driver codeif __name__=='__main__':    arr = [10, 4, 6, 8]    n = len(arr)    print(rmsValue(arr, n)) #This code is contributed by Shashank_Sharma
// C# program to calculate// Root Mean Squareusing System;class GFG{ // Function that Calculate// Root Mean Squarestatic float rmsValue(int[] arr, int n){    int square = 0;    float mean = 0;    float root = 0;     // Calculate square.    for(int i = 0; i < n; i++)    {        square += (int)Math.Pow(arr[i], 2);    }         // Calculate Mean.    mean = (square / (float) (n));     // Calculate Root.    root = (float)Math.Sqrt(mean);     return root;} // Driver Codepublic static void Main(){    int[] arr = {10, 4, 6, 8};         int n = arr.Length;         Console.Write(rmsValue(arr, n));}} // This code is contributed// by ChitraNayal
<?php// PHP program to calculate Root// Mean Square // Function that Calculate Root// Mean Squarefunction rmsValue($arr, $n){    $square = 0;    $mean = 0.0;    $root = 0.0;     // Calculate square.    for ($i = 0; $i < $n; $i++)    {        $square += pow($arr[$i], 2);    }     // Calculate Mean.    $mean = ($square / (float)($n));     // Calculate Root.    $root = sqrt($mean);     return $root;} // Driver code$arr = array( 10, 4, 6, 8 );$n = sizeof($arr); echo rmsValue($arr, $n); // This code is contributed// by jit_t?>
<script> // javascript program to calculate// Root Mean Square     // Function that Calculate Root    // Mean Square    function rmsValue(arr , n) {        var square = 0;        var mean = 0;        var root = 0;         // Calculate square.        for (i = 0; i < n; i++) {            square += Math.pow(arr[i], 2);        }         // Calculate Mean.        mean = (square /  (n));         // Calculate Root.        root =  Math.sqrt(mean);         return root;    }     // Driver Code             var arr = [ 10, 4, 6, 8 ];         var n = arr.length;         document.write(rmsValue(arr, n).toFixed(5)); // This code contributed by aashish1995 </script>
7.34847
 
Shashank_Sharma
ankthon
ukasp
jit_t
aashish1995
Mathematical
School Programming
Mathematical
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