Question

Using C++:

The root mean square is a specific kind of average which is used for various purposes. This means that a sequence of values is squared and summed, then divided by the count of the values; the entire calculation is then square-rooted. Ask the user for input; stop when the user enters -1. Be sure to use the square and squareRoot functions:

float squareRoot (float s) {
float xn;
if (s == 0.0) {
return 0.0;
}
xn = s/2.0;
int counter = 1;
while (counter <= 10) {
xn = (xn + (s/xn))/2.0;
counter = counter + 1;
}

return xn;
}

and

int square (int what) {
int answer = what * what;
return answer;
}

Answer 1

#include <iostream>

using namespace std;

float squareRoot (float s) {
float xn;
if (s == 0.0) {
return 0.0;
}
xn = s/2.0;
int counter = 1;
while (counter <= 10) {
xn = (xn + (s/xn))/2.0;
counter = counter + 1;
}

return xn;
}

int square (int what) {
int answer = what * what;
return answer;
}

int main()
{
    //declare variables
    bool flag=true;
    int value=0;
    float sum=0;
    int cnt=0;
  
    //prompt the user until -1 is entered
    do
    {
        //prompt user for value
        cout<<"Enter a value: ";
        cin>>value;
        //check if user is -1,exit
        if(value==-1)
        flag=false;
        else
        {
            //increment no of numbers
            cnt++;
            //find square root of nos and add to sum
            sum+=square(value);
        }
    }while(flag);
    //divide sum by total no of numbers inputted
    sum=sum/cnt;
    //find square root of sum value
    sum=squareRoot(sum);
    //display RSM
   cout << "Root Mean Square Root of " <<value<<" is "<<sum<< endl;

   return 0;
}

Sample output:

Enter a value: 2                                                                                                                                                

Enter a value: 5                                                                                                                                                

Enter a value: 8                                                                                                                                                

Enter a value: 9                                                                                                                                                

Enter a value: 4                                                                                                                                                

Enter a value: -1                                                                                                                                               

Root Mean Square Root of -1 is 6.16