Unhandled Exception

I am trying to run a program and after the output screen comes up, i get this extra message box that says "Unhandled Exception in....:Access violation". How can i fix that? Here is my code:
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#include <fstream>
#include <cmath>
#include <iostream>
using namespace std;
double sum(double the_standard_Deviation[], int size);


int main ()
{
	ifstream inputfile;
	double N;
	int size;
	const int Num_List = 1000;
	double summ;//, avg;

	inputfile.open("program8.txt");
	if(inputfile.fail())
	{
		cout << "Error: could not open program8.txt" << endl;
		exit (EXIT_FAILURE);
	}




	double standDeviation [Num_List];

	inputfile >> N;
	while(!inputfile.eof() && (size < Num_List))
	{
		standDeviation[size] = N;
		size++;
		cout<< N<<endl;
		inputfile >> N;
	}
	summ = sum(standDeviation, size);
	cout<< "SUM: "<< N << " " << size << " " << summ << endl;

	cout.setf(ios::fixed);
	cout.setf(ios::showpoint);
	cout.precision(3);
 
	inputfile.close();

	system("Pause");
	return 0;
}


My error shows an arrow at the line of:
standDeviation[size] = N;
You never initialize size.

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#include <fstream>
#include <cmath>
#include <iostream>
using namespace std;
double sum(double the_standard_Deviation[], int size);


int main ()
{
	ifstream inputfile;
	double N;

        //some random number...
	int size;
	const int Num_List = 1000;
	double summ;//, avg;

	inputfile.open("program8.txt");
	if(inputfile.fail())
	{
		cout << "Error: could not open program8.txt" << endl;
		exit (EXIT_FAILURE);
	}




	double standDeviation [Num_List];

	inputfile >> N;
	while(!inputfile.eof() && (size < Num_List))
	{
                //Using size here with that random number in place == Bad Stuff Will Happen
		standDeviation[size] = N;
		size++;
		cout<< N<<endl;
		inputfile >> N;
	}
	summ = sum(standDeviation, size);
	cout<< "SUM: "<< N << " " << size << " " << summ << endl;

	cout.setf(ios::fixed);
	cout.setf(ios::showpoint);
	cout.precision(3);
 
	inputfile.close();

	system("Pause");
	return 0;
}
I had a feeling that it was going to be such an easy mistake. Thank you.
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