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Program for weighted mean of natural numbers in C++
Given with an array of natural numbers and one more array containing the weights of the corresponding natural numbers and the task is to calculate the weighted mean of natural numbers.
There is a formula which is used for calculating the weighted mean of natural numbers.
$$\overline{x}=\frac{\displaystyle\sum\limits_{i=1}^n (x_{i*}w_{i})}{\displaystyle\sum\limits_{i=1}^n w_{i}}$$
Where, x is the natural number and w is the weighted associated with that natural number.
Input
X[] = {11, 22, 43, 34, 25, 16}
W[] = {12, 12, 43, 54, 75, 16}Output
weighted mean is : 29.3019
Explanation
(11*12 + 22*12 + 43*43 + 34*54 + 25*75 + 16*16) / (12 + 12 + 43 + 54 +75 +16)
Input
X[] = {3, 4, 5, 6, 7}
W[] = {4, 5, 6, 7, 8}Output
weighted mean is : 5.33333
Explanation
(3*4 + 4*5 + 5*6 + 6*7 + 7*8) / (4 + 5 + 6 + 7 + 8)
Approach used in the below program is as follows
Input the two different arrays, one is for natural numbers and another for the weights for the corresponding natural numbers.
Apply the formula to calculate the weighted mean of natural numbers
Print the corresponding result.
Algorithm
Start
Step1→ declare function to calculate weighted means of natural numbers
float weightedmean(int X[], int W[], int size)
Declare int sum = 0, weight = 0
Loop For int i = 0 and i < size and i++
Set weight = weight + X[i] * W[i]
Set sum = sum + W[i]
End
return (float)weight / sum
Step 2→ In main()
Declare int X[] = {11, 22, 43, 34, 25, 16}
Declare int W[] = {12, 12, 43, 54, 75, 16}
Declare int size_X = sizeof(X)/sizeof(X[0])
Declare int size_W = sizeof(W)/sizeof(W[0])
IF (size_X == size_W)
Call weightedmean(X, W, size_X)
End
Else
Print -1
End
StopExample
#include<bits/stdc++.h>
using namespace std;
//calculate weighted mean.
float weightedmean(int X[], int W[], int size){
int sum = 0, weight = 0;
for (int i = 0; i < size; i++){
weight = weight + X[i] * W[i];
sum = sum + W[i];
}
return (float)weight / sum;
}
int main(){
int X[] = {11, 22, 43, 34, 25, 16};
int W[] = {12, 12, 43, 54, 75, 16};
int size_X = sizeof(X)/sizeof(X[0]);
int size_W = sizeof(W)/sizeof(W[0]);
if (size_X == size_W)
cout<<"weighted mean is : "<<weightedmean(X, W, size_X);
else
cout << "-1";
return 0;
}Output
If run the above code it will generate the following output −
weighted mean is : 29.3019
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