#include <iostream>
#include <cmath>

int main()
{
try{
    double number(0.0);
    int count(0);
    double total(0.0);
    double valuesinput(0.0);
    double mean(0.0);

    std::cout << "How many values do you want to input?\n";
    std::cin >> valuesinput;

     do{
    std::cout << "Input a number to see the square of it: " << '\n';
    std::cin >> number;
    if(not std::cin) throw std::exception();

    std::cout << "The square of " << number << " is " << number*number << '\n';
    total += number*number;
    std::cout << "The total of all squares so far is " << total << '\n';

    ++count;
    mean= total / count;
    std::cout << "The arithmetic Mean of these squares are " << mean << '\n';


    if(count == valuesinput) break;

     }while(true);

     std::cout << "The square root of the Arithmetic Mean (The Root Mean Square) of this set of values is " << std::sqrt(mean) << '\n';
}
   catch(...)
   {
       std::cerr << "***An exception was thrown***\n";
   }
}