Program for Harmonic Mean of Numbers in C++

Given with an array of natural numbers and the task is to calculate the harmonic mean of given numbers and print it.

What is harmonic mean?

Harmonic mean means the reciprocal of the arithmetic mean by their reciprocals.

$$Harmonic\: Mean=\frac{n}{\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+...}$$

Where, n is the total number of elements given and a, b, c,.. are the actual elements in an array.

Steps to calculate the harmonic mean are −

• Do the reciprocal of the elements

• Add all the reciprocated elements together

• Now divide the total number of elements in an array by the sum of reciprocated elements

Input 

arr[] = {2.0, 3.4, 5.3, 2.1}

Output 

Harmonic mean is: 2.74163

Input 

arr[] = {13.5, 14.5, 14.8, 15.2, 16.1}

Output 

Harmonic mean is : 14.7707

Algorithm

Start
Step 1→ declare function to calculate harmonic mean of numbers
   float harmonic_mean(float arr[], int size)
      Declare float sum = 0
      Loop For int i = 0 and i < size and i++
         Set sum = sum + (float)1 / arr[i]
      End
   return (float)size/sum
Step 2→ In main()
   Declare float arr[] = {2.0, 3.4, 5.3, 2.1}
   Declare int size = sizeof(arr) / sizeof(arr[0])
   Call harmonic_mean(arr, size)
Stop

Example

 Live Demo

#include <bits/stdc++.h>
using namespace std;
//calculate harmonic mean
float harmonic_mean(float arr[], int size){
   float sum = 0;
   for (int i = 0; i < size; i++)
      sum = sum + (float)1 / arr[i];
   return (float)size/sum;
}
int main(){
   float arr[] = {2.0, 3.4, 5.3, 2.1};
   int size = sizeof(arr) / sizeof(arr[0]);
   cout<<"Harmonic mean is : "<<harmonic_mean(arr, size);
   return 0;
}

Output

If run the above code it will generate the following output −

Harmonic mean is : 2.74163